Balance Proof: Bridge Every Movement, Preserve Independent Controls, Explain Residuals

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/** Conservative exact proposals; no parser, source authentication or posting. */
type Obj=Record<string,any>;
const QUERY=['schema_version','ledger_id','entity_id','reconciliation_account_id','period_start','period_end','knowledge_cutoff','reference_policy'];
const HEAD=['schema_version','source_id','side','ledger_id','entity_id','reconciliation_account_id','coverage_start','coverage_end','observed_at','head_sequence','receipt_ref'];
const GROUP=['schema_version','group_id','source_id','available_at','events'];
const EVENT=['sequence','row_id','revision','supersedes_revision','source_version_ref','action','movement'];
const MOVEMENT=['booking_status','booking_date','value_date','currency','direction','amount_minor','reference','description','is_reversal'];
const IDENT=/^[A-Za-z0-9][A-Za-z0-9._:-]{0,63}$/;
const POSITIVE=/^[1-9][0-9]{0,29}$/;
const NONNEGATIVE=/^(0|[1-9][0-9]{0,29})$/;
const DATE=/^[0-9]{4}-[0-9]{2}-[0-9]{2}$/;
const STAMP=/^[0-9]{4}-[0-9]{2}-[0-9]{2}T[0-9]{2}:[0-9]{2}:[0-9]{2}\.[0-9]{3}Z$/;
const INDETERMINATE=new Set(['SOURCE_SEQUENCE_GAP','INCOMPLETE_SOURCE','KNOWLEDGE_BEYOND_SOURCE','COVERAGE_WINDOW_MISMATCH']);
export class ReconciliationError extends Error {}
function need(condition:any,code:string):asserts condition {if(!condition)throw new ReconciliationError(code)}
const object=(v:any):v is Obj=>v!==null&&typeof v==='object'&&!Array.isArray(v)&&[Object.prototype,null].includes(Object.getPrototypeOf(v));
const exact=(v:any,keys:string[]):v is Obj=>object(v)&&Object.keys(v).length===keys.length&&keys.every(k=>Object.hasOwn(v,k));
const full=(r:RegExp,s:string)=>r.exec(s)?.[0]===s;
const identifier=(v:any)=>typeof v==='string'&&full(IDENT,v);
const positive=(v:any)=>typeof v==='string'&&full(POSITIVE,v);
const nonnegative=(v:any)=>typeof v==='string'&&full(NONNEGATIVE,v);
const compare=(a:string,b:string)=>a<b?-1:a>b?1:0;
const compareInteger=(a:string,b:string)=>BigInt(a)<BigInt(b)?-1:BigInt(a)>BigInt(b)?1:0;
function civil(v:any):number|null {
 if(typeof v!=='string'||!full(DATE,v)||v.slice(0,4)==='0000')return null;
 const d=new Date(v+'T00:00:00.000Z');
 return Number.isFinite(d.getTime())&&d.toISOString().slice(0,10)===v?d.getTime():null;
}
function timestamp(v:any):boolean {
 if(typeof v!=='string'||!full(STAMP,v)||v.slice(0,4)==='0000')return false;
 const d=new Date(v);return Number.isFinite(d.getTime())&&d.toISOString()===v;
}
function same(a:any,b:any):boolean {
 if(Array.isArray(a))return Array.isArray(b)&&a.length===b.length&&a.every((v,i)=>same(v,b[i]));
 if(object(a))return object(b)&&Object.keys(a).length===Object.keys(b).length&&Object.keys(a).every(k=>Object.hasOwn(b,k)&&same(a[k],b[k]));
 return a===b;
}
function stable(v:any):string {
 if(Array.isArray(v))return '['+v.map(stable).join(',')+']';
 if(object(v))return '{'+Object.keys(v).sort().map(k=>JSON.stringify(k)+':'+stable(v[k])).join(',')+'}';
 return JSON.stringify(v);
}
function validateMovement(m:any,available:string){
 need(exact(m,MOVEMENT),'INVALID_SCHEMA');
 need(m.booking_status==='booked','UNSUPPORTED_BOOKING_STATUS');
 need(civil(m.booking_date)!==null&&civil(m.value_date)!==null,'INVALID_DATE');
 need(m.booking_date<=available.slice(0,10),'FUTURE_BOOKING_DATE');
 need(typeof m.currency==='string'&&['USD','EUR'].includes(m.currency),'UNSUPPORTED_CURRENCY');
 need(typeof m.direction==='string'&&['inflow','outflow'].includes(m.direction),'INVALID_DIRECTION');
 need(positive(m.amount_minor),'INVALID_AMOUNT');need(typeof m.is_reversal==='boolean','INVALID_REVERSAL_FLAG');
 need(typeof m.description==='string'&&[...m.description].length<=240&&[...m.description].every(c=>{const n=c.codePointAt(0)!;return !(n<32||(n>=127&&n<=159)||(n>=0xd800&&n<=0xdfff))}),'INVALID_DESCRIPTION');
 if(m.reference!==null){const r=m.reference;need(exact(r,['namespace','value']),'INVALID_REFERENCE');need(identifier(r.namespace),'INVALID_REFERENCE');need(typeof r.value==='string'&&r.value.length<=140&&[...r.value].every(c=>c.codePointAt(0)!>=32&&c.codePointAt(0)!<=126),'INVALID_REFERENCE')}
}
function validateEvent(e:any,available:string){
 need(exact(e,EVENT),'INVALID_SCHEMA');need(positive(e.sequence),'INVALID_SEQUENCE');
 need(identifier(e.row_id)&&identifier(e.source_version_ref),'INVALID_IDENTIFIER');
 need(positive(e.revision),'INVALID_REVISION');
 need(e.supersedes_revision===null||positive(e.supersedes_revision),'INVALID_REVISION');
 need(typeof e.action==='string'&&['upsert','withdraw'].includes(e.action),'INVALID_REVISION_ACTION');
 if(e.action==='upsert')validateMovement(e.movement,available);else need(e.movement===null,'INVALID_REVISION_ACTION');
}
function groupErrors(groups:any[],head:Obj){
 const errors:string[]=[];
 for(const g of groups){try{
  need(exact(g,GROUP),'INVALID_GROUP');need(identifier(g.group_id)&&identifier(g.source_id),'INVALID_IDENTIFIER');
  need(g.schema_version==='d30-reconciliation-group-v1','UNSUPPORTED_SCHEMA');need(g.source_id===head.source_id,'SOURCE_MISMATCH');
  need(timestamp(g.available_at),'INVALID_TIMESTAMP');need(g.available_at<=head.observed_at,'CLOCK_ORDER_VIOLATION');
  need(Array.isArray(g.events)&&g.events.length>=1&&g.events.length<=32,'INVALID_GROUP');
 }catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}}
 if(errors.length)throw new ReconciliationError(errors.sort()[0]);
}
function rowReference(head:Obj,event:Obj):Obj {
 return {source_id:head.source_id,row_id:event.row_id,revision:event.revision,sequence:event.sequence,source_version_ref:event.source_version_ref};
}
function selectedRow(head:Obj,group:Obj,event:Obj):Obj {
 return {row_ref:rowReference(head,event),group_id:group.group_id,available_at:group.available_at,movement:structuredClone(event.movement)};
}
function selectSource(query:Obj,groups:any,head:Obj):[Obj[],Obj[],string,Obj]{
 need(Array.isArray(groups)&&groups.length<=4096,'INVALID_GROUP');groupErrors(groups,head);
 need(groups.reduce((n,g)=>n+g.events.length,0)<=4096,'INVALID_GROUP');
 const errors:string[]=[];
 for(const g of groups)for(const event of g.events){try{validateEvent(event,g.available_at)}catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}}
 if(errors.length)throw new ReconciliationError(errors.sort()[0]);
 const grouped=new Map<string,Obj[]>();
 for(const g of groups){const canonical={...g,events:[...g.events].sort((a,b)=>compareInteger(a.sequence,b.sequence)||compare(stable(a),stable(b)))};const list=grouped.get(g.group_id)??[];list.push(canonical);grouped.set(g.group_id,list)}
 need(![...grouped.values()].some(items=>items.some(g=>!same(g,items[0]))),'GROUP_ID_CONFLICT');
 need(![...grouped.values()].some(items=>items.length>1),'DUPLICATE_GROUP');
 const identities=new Map<string,Obj[]>();
 for(const g of groups)for(const e of g.events){const key=JSON.stringify([e.row_id,e.revision]),list=identities.get(key)??[];list.push(e);identities.set(key,list)}
 need(![...identities.values()].some(items=>items.some(e=>!same(e,items[0]))),'EVENT_ID_CONFLICT');
 need(![...identities.values()].some(items=>items.length>1),'DUPLICATE_EVENT');
 const events:Obj[]=groups.flatMap(g=>g.events);
 need(new Set(events.map(e=>e.sequence)).size===events.length,'SEQUENCE_ID_CONFLICT');
 for(const g of groups)need(new Set(g.events.map((e:Obj)=>e.row_id)).size===g.events.length,'DUPLICATE_ROW_IN_GROUP');
 const sequences=events.map(e=>BigInt(e.sequence)).sort((a,b)=>a<b?-1:a>b?1:0),headSequence=BigInt(head.head_sequence);
 need(sequences.length===0||sequences.at(-1)!<=headSequence,'HEAD_SEQUENCE_MISMATCH');
 need(sequences.every((n,i)=>n===BigInt(i+1)),'SOURCE_SEQUENCE_GAP');
 need(BigInt(sequences.length)===headSequence,'INCOMPLETE_SOURCE');
 const canonical=[...grouped.values()].map(items=>items[0]).sort((a,b)=>compareInteger(a.events[0].sequence,b.events[0].sequence));
 for(const g of canonical)need(BigInt(g.events.at(-1).sequence)-BigInt(g.events[0].sequence)+1n===BigInt(g.events.length),'GROUP_INTERVAL_CONFLICT');
 let lastAvailable:string|null=null,visibleThrough='0';
 const latestAll=new Map<string,[Obj,Obj]>(),latestVisible=new Map<string,[Obj,Obj]>();
 for(const g of canonical){
  need(lastAvailable===null||g.available_at>=lastAvailable,'CLOCK_ORDER_VIOLATION');lastAvailable=g.available_at;
  for(const e of g.events){
   const previous=latestAll.get(e.row_id);
   if(head.side==='internal')need(e.revision==='1'&&e.supersedes_revision===null&&e.action==='upsert'&&previous===undefined,'INTERNAL_ROW_IMMUTABLE');
   else if(previous===undefined){need(e.revision==='1'&&e.supersedes_revision===null,'INVALID_REVISION');need(e.action==='upsert','INVALID_REVISION_ACTION')}
   else{const prior=previous[1];need(BigInt(e.revision)===BigInt(prior.revision)+1n&&e.supersedes_revision===prior.revision,'INVALID_REVISION');if(e.action==='withdraw')need(prior.action==='upsert','INVALID_REVISION_ACTION')}
   latestAll.set(e.row_id,[g,e]);if(g.available_at<=query.knowledge_cutoff)latestVisible.set(e.row_id,[g,e]);
  }
  if(g.available_at<=query.knowledge_cutoff)visibleThrough=g.events.at(-1).sequence;
 }
 const active:Obj[]=[],withdrawn:Obj[]=[];let outside=0;
 for(const [rowId,[g,e]]of [...latestVisible.entries()].sort((a,b)=>compare(a[0],b[0]))){
  const row=selectedRow(head,g,e);
  if(e.action==='withdraw'){delete row.movement;withdrawn.push(row)}
  else if(e.movement.booking_date>=query.period_start&&e.movement.booking_date<query.period_end)active.push(row);
  else outside++;
 }
 const coverage:Obj={};for(const k of ['source_id','receipt_ref','observed_at','coverage_start','coverage_end','head_sequence'])coverage[k]=head[k];
 coverage.validated_through_sequence=head.head_sequence;coverage.visible_through_sequence=visibleThrough;
 return[active,withdrawn,String(outside),coverage];
}
export function selectReconciliationRows(query:any,internalGroups:any,externalGroups:any,context:any,expectedSchema='d30-exact-reference-match-v1'):Obj {
 try{
  need(exact(query,QUERY),'INVALID_SCHEMA');need(query.schema_version===expectedSchema,'UNSUPPORTED_SCHEMA');
  need(['ledger_id','entity_id','reconciliation_account_id'].every(k=>identifier(query[k])),'INVALID_IDENTIFIER');
  const start=civil(query.period_start),end=civil(query.period_end);need(start!==null&&end!==null,'INVALID_DATE');
  need((end-start)/86400000>=1&&(end-start)/86400000<=366,'INVALID_PERIOD');
  need(timestamp(query.knowledge_cutoff),'INVALID_TIMESTAMP');
  need(query.knowledge_cutoff>=query.period_end+'T00:00:00.000Z','KNOWLEDGE_BEFORE_PERIOD_END');
  need(query.reference_policy==='BYTE_EXACT_ASCII_V1','UNSUPPORTED_REFERENCE_POLICY');
  need(exact(context,['internal_head','external_head']),'INVALID_CONTEXT');
  for(const side of ['internal','external']){
   const h=context[side+'_head'];need(exact(h,HEAD),'INVALID_CONTEXT');
   need(h.schema_version==='d30-reconciliation-head-v1'&&h.side===side,'INVALID_CONTEXT');
   need(['source_id','ledger_id','entity_id','reconciliation_account_id','receipt_ref'].every(k=>identifier(h[k])),'INVALID_CONTEXT');
   need(['ledger_id','entity_id','reconciliation_account_id'].every(k=>h[k]===query[k]),'SCOPE_MISMATCH');
   const a=civil(h.coverage_start),b=civil(h.coverage_end);need(a!==null&&b!==null&&a<b,'INVALID_CONTEXT');
   need(timestamp(h.observed_at)&&nonnegative(h.head_sequence),'INVALID_CONTEXT');
   need(h.coverage_start<=query.period_start&&h.coverage_end>=query.period_end,'COVERAGE_WINDOW_MISMATCH');
   need(query.knowledge_cutoff<=h.observed_at,'KNOWLEDGE_BEYOND_SOURCE');
  }
  need(context.internal_head.source_id!==context.external_head.source_id,'INVALID_CONTEXT');
  const selected:Obj={internal:[],external:[],withdrawn:{internal:[],external:[]},out_of_window_counts:{internal:'0',external:'0'}},coverage:Obj={};
  for(const [side,groups]of [['internal',internalGroups],['external',externalGroups]]as const){const [active,withdrawn,count,cov]=selectSource(query,groups,context[side+'_head']);selected[side]=active;selected.withdrawn[side]=withdrawn;selected.out_of_window_counts[side]=count;coverage[side]=cov}
  return{status:'ok',code:'RECONCILIATION_ROWS_SELECTED',coverage,selected};
 }catch(error){if(error instanceof ReconciliationError)return{status:INDETERMINATE.has(error.message)?'indeterminate':'rejected',code:error.message,coverage:null,selected:null};throw error}
}
export function referenceKey(reference:any):[string,string]|null {
 if(reference===null||reference.value.replace(/ /g,'')===''||reference.value==='NOTPROVIDED')return null;
 return[reference.namespace,reference.value];
}
export function exactReferenceMatch(query:any,internalGroups:any,externalGroups:any,context:any):Obj {
 const result=selectReconciliationRows(query,internalGroups,externalGroups,context);
 if(result.status!=='ok')return{...result,matches:[],unmatched:[],ambiguous:[]};
 const buckets=new Map<string,{key:[string,string];internal:Obj[];external:Obj[]}>(),unmatched:Obj[]=[];
 for(const side of ['internal','external']as const)for(const row of result.selected[side]){
  const key=referenceKey(row.movement.reference);
  if(key===null)unmatched.push({side,row_ref:structuredClone(row.row_ref),reason:'MISSING_REFERENCE',mismatches:[]});
  else{const encoded=JSON.stringify(key),bucket=buckets.get(encoded)??{key,internal:[],external:[]};bucket[side].push(row);buckets.set(encoded,bucket)}
 }
 const matches:Obj[]=[],ambiguous:Obj[]=[];
 for(const bucket of [...buckets.values()].sort((a,b)=>compare(a.key[0],b.key[0])||compare(a.key[1],b.key[1]))){
  const [namespace,value]=bucket.key,left=bucket.internal,right=bucket.external;
  if(left.length>1||right.length>1)ambiguous.push({reference:{namespace,value},internal_row_refs:left.map(r=>structuredClone(r.row_ref)),external_row_refs:right.map(r=>structuredClone(r.row_ref)),reason:'NON_UNIQUE_REFERENCE'});
  else if(left.length===0||right.length===0){const side=left.length?'internal':'external',row=(left.length?left:right)[0];unmatched.push({side,row_ref:structuredClone(row.row_ref),reason:'NO_COUNTERPART',mismatches:[]})}
  else{
   const [l,r]=[left[0],right[0]],[a,b]=[l.movement,r.movement];
   const fields=['currency','direction','amount_minor','is_reversal'].filter(k=>a[k]!==b[k]);
   if(fields.length){for(const [side,row]of [['internal',l],['external',r]]as const)unmatched.push({side,row_ref:structuredClone(row.row_ref),reason:'FIELD_MISMATCH',mismatches:[...fields]})}
   else matches.push({reference:{namespace,value},internal_row_ref:structuredClone(l.row_ref),external_row_ref:structuredClone(r.row_ref),currency:a.currency,direction:a.direction,amount_minor:a.amount_minor,is_reversal:a.is_reversal,booking_date_gap_days:(civil(b.booking_date)!-civil(a.booking_date)!)/86400000});
  }
 }
 unmatched.sort((a,b)=>(a.side==='internal'?0:1)-(b.side==='internal'?0:1)||compare(a.row_ref.row_id,b.row_ref.row_id)||compareInteger(a.row_ref.revision,b.row_ref.revision));
 return{status:'ok',code:'EXACT_MATCH_COMPLETE',coverage:result.coverage,selected:result.selected,matches,unmatched,ambiguous};
}



// Balance-proof extension. The preceding shared exact core is pinned byte-for-byte.
const PROOF_QUERY=[...QUERY,'currency','basis'];
const PROOF_CONTEXT=['internal_head','external_head','internal_controls','external_controls','reconciling_items'];
const CONTROL_HEAD=['schema_version','control_id','source_id','side','ledger_id','entity_id','reconciliation_account_id','role','currency','basis','boundary_at','head_revision','observed_at','receipt_ref'];
const CONTROL_VERSION=['schema_version','control_id','revision','supersedes_revision','available_at','source_version_ref','action','amount_minor'];
const ITEM=['item_id','side','row_ref','reason','available_at'];
const ROW_REF=['source_id','row_id','revision','sequence','source_version_ref'];
const SIGNED_CONTROL=/^(0|-?[1-9][0-9]{0,119})$/;
const PYTHON_SPACE=new Set([9,10,11,12,13,28,29,30,31,32,133,160,5760,8192,8193,8194,8195,8196,8197,8198,8199,8200,8201,8202,8232,8233,8239,8287,12288]);
function proofQueryHeads(query:any,context:any):Obj {
 need(exact(query,PROOF_QUERY),'INVALID_SCHEMA');need(query.schema_version==='d30-balance-proof-v1','UNSUPPORTED_SCHEMA');
 need(typeof query.currency==='string'&&['USD','EUR'].includes(query.currency),'UNSUPPORTED_CURRENCY');
 need(query.basis==='booked-cash-asset-utc-v1','UNSUPPORTED_BALANCE_BASIS');
 need(['ledger_id','entity_id','reconciliation_account_id'].every(k=>identifier(query[k])),'INVALID_IDENTIFIER');
 const start=civil(query.period_start),end=civil(query.period_end);need(start!==null&&end!==null,'INVALID_DATE');
 need((end-start)/86400000>=1&&(end-start)/86400000<=366,'INVALID_PERIOD');need(timestamp(query.knowledge_cutoff),'INVALID_TIMESTAMP');
 need(query.knowledge_cutoff>=query.period_end+'T00:00:00.000Z','KNOWLEDGE_BEFORE_PERIOD_END');
 need(query.reference_policy==='BYTE_EXACT_ASCII_V1','UNSUPPORTED_REFERENCE_POLICY');need(exact(context,PROOF_CONTEXT),'INVALID_CONTEXT');
 const gaps:Obj={};
 for(const side of ['internal','external']){
  const h=context[side+'_head'];need(exact(h,HEAD),'INVALID_CONTEXT');need(h.schema_version==='d30-reconciliation-head-v1'&&h.side===side,'INVALID_CONTEXT');
  need(['source_id','ledger_id','entity_id','reconciliation_account_id','receipt_ref'].every(k=>identifier(h[k])),'INVALID_CONTEXT');
  need(['ledger_id','entity_id','reconciliation_account_id'].every(k=>h[k]===query[k]),'SCOPE_MISMATCH');
  const a=civil(h.coverage_start),b=civil(h.coverage_end);need(a!==null&&b!==null&&a<b,'INVALID_CONTEXT');
  need(timestamp(h.observed_at)&&nonnegative(h.head_sequence),'INVALID_CONTEXT');
  if(!(h.coverage_start<=query.period_start&&h.coverage_end>=query.period_end))gaps[side]='COVERAGE_WINDOW_MISMATCH';
  else if(query.knowledge_cutoff>h.observed_at)gaps[side]='KNOWLEDGE_BEYOND_SOURCE';
 }
 need(context.internal_head.source_id!==context.external_head.source_id,'INVALID_CONTEXT');return gaps;
}
function proofSource(query:Obj,groups:any,head:Obj,gap:string|undefined):Obj {
 try{
  const [active,withdrawn,count,coverage]=selectSource(query,groups,head);
  if(gap)return{status:'indeterminate',code:gap,coverage:null,selected:null};
  return{status:'ok',code:'SOURCE_SELECTED',coverage,selected:{active,withdrawn,out_of_window_count:count}};
 }catch(error){if(!(error instanceof ReconciliationError)||!INDETERMINATE.has(error.message))throw error;return{status:'indeterminate',code:gap??error.message,coverage:null,selected:null}}
}
function controlSelection(query:Obj,sourceHead:Obj,side:string,role:string,bundle:any):Obj {
 need(exact(bundle,['head','versions']),'INVALID_CONTROL_SCHEMA');const h=bundle.head,versions=bundle.versions;
 need(exact(h,CONTROL_HEAD),'INVALID_CONTROL_HEAD');need(h.schema_version==='d30-balance-control-head-v1','INVALID_CONTROL_HEAD');
 need(['control_id','source_id','ledger_id','entity_id','reconciliation_account_id','receipt_ref'].every(k=>identifier(h[k])),'INVALID_CONTROL_HEAD');
 need(h.side===side&&h.role===role&&h.source_id===sourceHead.source_id&&['ledger_id','entity_id','reconciliation_account_id','currency','basis'].every(k=>h[k]===query[k]),'CONTROL_SCOPE_MISMATCH');
 need(timestamp(h.boundary_at)&&timestamp(h.observed_at),'INVALID_CONTROL_TIMESTAMP');
 const boundary=query[role==='opening'?'period_start':'period_end']+'T00:00:00.000Z';
 need(h.boundary_at===boundary,'CONTROL_BOUNDARY_MISMATCH');need(h.observed_at>=boundary,'CONTROL_CLOCK_ORDER_VIOLATION');
 need(nonnegative(h.head_revision)&&BigInt(h.head_revision)<=512n,'INVALID_CONTROL_HEAD');
 need(Array.isArray(versions)&&versions.length<=512,'INVALID_CONTROL_SCHEMA');const errors:string[]=[];
 for(const v of versions){
  try{
   need(exact(v,CONTROL_VERSION),'INVALID_CONTROL_SCHEMA');need(v.schema_version==='d30-balance-control-v1','INVALID_CONTROL_SCHEMA');
   need(v.control_id===h.control_id,'CONTROL_SCOPE_MISMATCH');
   need(positive(v.revision)&&BigInt(v.revision)<=512n&&(v.supersedes_revision===null||(positive(v.supersedes_revision)&&BigInt(v.supersedes_revision)<=512n)),'INVALID_CONTROL_REVISION');
   need(identifier(v.source_version_ref),'INVALID_CONTROL_SCHEMA');need(timestamp(v.available_at),'INVALID_CONTROL_TIMESTAMP');
   need(boundary<=v.available_at&&v.available_at<=h.observed_at,'CONTROL_CLOCK_ORDER_VIOLATION');
   need(typeof v.action==='string'&&['upsert','withdraw'].includes(v.action),'INVALID_CONTROL_ACTION');
   if(v.action==='upsert')need(typeof v.amount_minor==='string'&&full(SIGNED_CONTROL,v.amount_minor),'INVALID_CONTROL_AMOUNT');
   else need(v.amount_minor===null,'INVALID_CONTROL_ACTION');
  }catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}
 }
 if(errors.length)throw new ReconciliationError(errors.sort(compare)[0]);
 const identities=new Map<string,Obj[]>();for(const v of versions)identities.set(v.revision,[...(identities.get(v.revision)??[]),v]);
 need(![...identities.values()].some(items=>items.some(v=>!same(v,items[0]))),'CONTROL_VERSION_CONFLICT');
 need(![...identities.values()].some(items=>items.length>1),'DUPLICATE_CONTROL_VERSION');
 const ordered:Obj[]=[...versions].sort((a,b)=>compareInteger(a.revision,b.revision));
 need(!ordered.length||BigInt(ordered.at(-1)!.revision)<=BigInt(h.head_revision),'CONTROL_HEAD_MISMATCH');
 let last:string|null=null;for(const v of ordered){need(last===null||v.available_at>=last,'CONTROL_CLOCK_ORDER_VIOLATION');last=v.available_at}
 if(ordered.length!==Number(h.head_revision)||ordered.some((v,i)=>BigInt(v.revision)!==BigInt(i+1)))return{status:'indeterminate',code:'INCOMPLETE_CONTROL_HISTORY',coverage:null,selected:null};
 let prior:Obj|null=null;for(const v of ordered){need(v.supersedes_revision===(prior===null?null:prior.revision),'INVALID_CONTROL_REVISION');need(!(v.action==='withdraw'&&(prior===null||prior.action==='withdraw')),'INVALID_CONTROL_ACTION');prior=v}
 if(query.knowledge_cutoff>h.observed_at)return{status:'indeterminate',code:'KNOWLEDGE_BEYOND_CONTROL',coverage:null,selected:null};
 const visible=ordered.filter(v=>v.available_at<=query.knowledge_cutoff),selected=visible.length?structuredClone(visible.at(-1)!):null;
 const coverage:Obj={};for(const k of ['control_id','source_id','receipt_ref','observed_at','head_revision'])coverage[k]=h[k];
 Object.assign(coverage,{validated_through_revision:h.head_revision,visible_through_revision:visible.length?visible.at(-1)!.revision:'0'});
 const code=!ordered.length?'CONTROL_MISSING':selected===null?'CONTROL_NOT_AVAILABLE':selected.action==='withdraw'?'CONTROL_WITHDRAWN':'CONTROL_SELECTED';
 return{status:code==='CONTROL_SELECTED'?'ok':'indeterminate',code,coverage,selected};
}
function validateItemRegister(items:any):void {
 need(Array.isArray(items)&&items.length<=512,'INVALID_RECONCILING_ITEM');
 for(const item of items){
  need(exact(item,ITEM),'INVALID_RECONCILING_ITEM');need(identifier(item.item_id)&&typeof item.side==='string'&&['internal','external'].includes(item.side),'INVALID_RECONCILING_ITEM');
  const ref=item.row_ref;need(exact(ref,ROW_REF)&&['source_id','row_id','source_version_ref'].every(k=>identifier(ref[k]))&&positive(ref.revision)&&positive(ref.sequence),'INVALID_RECONCILING_ITEM');
  const reason=item.reason;
  need(typeof reason==='string'&&[...reason].length>=1&&[...reason].length<=240&&[...reason].some(c=>!PYTHON_SPACE.has(c.codePointAt(0)!))&&[...reason].every(c=>{const n=c.codePointAt(0)!;return !(n<32||(n>=127&&n<=159)||(n>=0xd800&&n<=0xdfff))}),'INVALID_RECONCILING_ITEM');
  need(timestamp(item.available_at),'INVALID_RECONCILING_ITEM');
 }
 const identities=new Map<string,Obj[]>();for(const item of items)identities.set(item.item_id,[...(identities.get(item.item_id)??[]),item]);
 need(![...identities.values()].some(values=>values.some(item=>!same(item,values[0]))),'RECONCILING_ITEM_CONFLICT');
 need(![...identities.values()].some(values=>values.length>1),'DUPLICATE_RECONCILING_ITEM');
 const rows=items.map(i=>JSON.stringify([i.side,i.row_ref.source_id,i.row_ref.row_id]));need(new Set(rows).size===rows.length,'RECONCILING_ROW_REUSED');
}
function resolveItems(query:Obj,items:Obj[],sources:Obj):Obj[] {
 return [...items].sort((a,b)=>compare(a.item_id,b.item_id)).map(item=>{
  const source=sources[item.side],row=source.status==='ok'?source.selected.active.find((r:Obj)=>same(r.row_ref,item.row_ref)):undefined;
  let code:string;
  if(source.status!=='ok')code='RECONCILING_SOURCE_INDETERMINATE';
  else if(!row)code='STALE_RECONCILING_EVIDENCE';
  else if(item.available_at<row.available_at)throw new ReconciliationError('ITEM_CLOCK_ORDER_VIOLATION');
  else if(item.available_at>query.knowledge_cutoff)code='RECONCILING_ITEM_NOT_AVAILABLE';
  else if(row.movement.currency!==query.currency)code='RECONCILING_CURRENCY_MISMATCH';
  else code='RECONCILING_ITEM_RETAINED';
  const amount=code==='RECONCILING_ITEM_RETAINED'?(BigInt(row.movement.amount_minor)*(row.movement.direction==='inflow'?1n:-1n)).toString():null;
  return{...structuredClone(item),status:amount!==null?'ok':'indeterminate',code,signed_amount_minor:amount};
 });
}
function bridge(query:Obj,side:string,source:Obj,controls:Obj):Obj {
 const numeric=['opening_control_ref','closing_control_ref','opening_minor','inflow_minor','outflow_minor','net_movement_minor','expected_closing_minor','reported_closing_minor','residual_minor','excluded_currency_count'];
 if(source.status!=='ok'||['opening','closing'].some(r=>controls[r].status!=='ok'))return{status:'indeterminate',code:'SIDE_EVIDENCE_INDETERMINATE',currency:query.currency,...Object.fromEntries(numeric.map(k=>[k,null])),trace:[]};
 const opening=controls.opening.selected,closing=controls.closing.selected;
 const ref=(v:Obj)=>({source_id:controls.opening.coverage.source_id,control_id:v.control_id,revision:v.revision,source_version_ref:v.source_version_ref});
 const rows:Obj[]=source.selected.active,chosen=rows.filter(r=>r.movement.currency===query.currency).sort((a,b)=>compareInteger(a.row_ref.sequence,b.row_ref.sequence));
 let run=BigInt(opening.amount_minor),inflow=0n,outflow=0n;const trace:Obj[]=[];
 for(const row of chosen){
  const m=row.movement,amount=BigInt(m.amount_minor),signed=m.direction==='inflow'?amount:-amount;
  if(signed>0n)inflow+=amount;else outflow+=amount;run+=signed;
  trace.push({row_ref:structuredClone(row.row_ref),group_id:row.group_id,available_at:row.available_at,booking_date:m.booking_date,direction:m.direction,is_reversal:m.is_reversal,amount_minor:m.amount_minor,signed_amount_minor:signed.toString(),running_balance_minor:run.toString()});
 }
 const residual=BigInt(closing.amount_minor)-run;
 return{status:residual===0n?'pass':'fail',code:residual===0n?'BRIDGE_PASS':'BRIDGE_RESIDUAL',currency:query.currency,opening_control_ref:ref(opening),closing_control_ref:ref(closing),opening_minor:opening.amount_minor,inflow_minor:inflow.toString(),outflow_minor:outflow.toString(),net_movement_minor:(inflow-outflow).toString(),expected_closing_minor:run.toString(),reported_closing_minor:closing.amount_minor,residual_minor:residual.toString(),excluded_currency_count:String(rows.length-chosen.length),trace};
}
function proofComparison(query:Obj,sources:Obj,controls:Obj,items:Obj[]):Obj {
 const amount=(side:string,role:string):bigint|null=>controls[side][role].status==='ok'?BigInt(controls[side][role].selected.amount_minor):null;
 const io=amount('internal','opening'),eo=amount('external','opening'),ic=amount('internal','closing'),ec=amount('external','closing');
 const opening=io!==null&&eo!==null?io-eo:null,closing=ic!==null&&ec!==null?ic-ec:null;
 const completeItems=Object.values(sources).every(s=>s.status==='ok')&&items.every(i=>i.status==='ok');
 const sum=(side:string)=>items.filter(i=>i.side===side).reduce((n,i)=>n+BigInt(i.signed_amount_minor),0n);
 const left=completeItems?sum('internal'):null,right=completeItems?sum('external'):null;
 const adjusted=ic!==null&&ec!==null&&completeItems?ic+right!-left!:null,residual=adjusted!==null?adjusted-ec!:null;
 const missing=!completeItems||['internal','external'].some(s=>['opening','closing'].some(r=>controls[s][r].status!=='ok'));
 let status:string,code:string;
 if(opening!==null&&opening!==0n){status='fail';code='OPENING_BALANCES_DIFFER'}
 else if(residual!==null&&residual!==0n){status='fail';code='CLOSING_BALANCES_DIFFER'}
 else if(missing){status='indeterminate';code='COMPARISON_INDETERMINATE'}
 else if(items.length){status='indeterminate';code='RECONCILING_ITEMS_REMAIN'}
 else{status='pass';code='CONTROLS_AGREE'}
 const values:Record<string,bigint|null>={opening_difference_minor:opening,closing_difference_minor:closing,internal_item_signed_minor:left,external_item_signed_minor:right,adjusted_internal_closing_minor:adjusted,adjusted_closing_residual_minor:residual};
 return{status,code,...Object.fromEntries(Object.entries(values).map(([k,v])=>[k,v===null?null:v.toString()])),unresolved_item_count:String(items.length)};
}
export function balanceProof(query:any,internalGroups:any,externalGroups:any,context:any):Obj {
 try{
  const gaps=proofQueryHeads(query,context),sources:Obj={},controls:Obj={},errors:string[]=[];
  for(const [side,groups]of [['internal',internalGroups],['external',externalGroups]]as const){
   try{sources[side]=proofSource(query,groups,context[side+'_head'],gaps[side])}catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}
   const bundle=context[side+'_controls'];if(!exact(bundle,['opening','closing'])){errors.push('INVALID_CONTROL_SCHEMA');continue}
   controls[side]={};for(const role of ['opening','closing']){try{controls[side][role]=controlSelection(query,context[side+'_head'],side,role,bundle[role])}catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}}
   if(!errors.length)need(bundle.opening.head.control_id!==bundle.closing.head.control_id,'CONTROL_SCOPE_MISMATCH');
  }
  try{validateItemRegister(context.reconciling_items)}catch(error){if(error instanceof ReconciliationError)errors.push(error.message);else throw error}
  if(errors.length)throw new ReconciliationError(errors.sort(compare)[0]);
  const items=resolveItems(query,context.reconciling_items,sources),bridges:Obj={};for(const s of ['internal','external'])bridges[s]=bridge(query,s,sources[s],controls[s]);
  const comparison=proofComparison(query,sources,controls,items);let status:string,code:string;
  if(Object.values(bridges).some(b=>b.status==='fail')){status='fail';code='SIDE_BRIDGE_FAILED'}
  else if(comparison.status==='fail'){status='fail';code=comparison.code}
  else if(Object.values(sources).some(s=>s.status!=='ok')||['internal','external'].some(s=>['opening','closing'].some(r=>controls[s][r].status!=='ok'))||items.some(i=>i.status!=='ok')){status='indeterminate';code='EVIDENCE_INDETERMINATE'}
  else if(items.length){status='indeterminate';code='RECONCILING_ITEMS_REMAIN'}
  else{status='pass';code='BALANCE_PROOF_PASS'}
  return{status,code,source_evidence:structuredClone(sources),control_evidence:structuredClone(controls),bridges,comparison,reconciling_items:items};
 }catch(error){if(error instanceof ReconciliationError)return{status:'rejected',code:error.message,source_evidence:null,control_evidence:null,bridges:null,comparison:null,reconciling_items:[]};throw error}
}