{"collections":{"members":{"count":65,"page_size":256,"pages":["numbers/members/6c2f5fb6b50c440c4cf84580.json"]},"observations":{"count":65,"page_size":256,"pages":["numbers/members/c0e065db8d3b9d03af140f9c.json"]},"universe":{"count":65,"page_size":256,"pages":["numbers/members/039875aa70026d298804933b.json"]}},"generation_id":"sha256:e44fe048bf34d4e55b76af0e42f931ce1121c5c189edf0e8cd6061a5902b3e47","kind":"number-receipt","number":{"aggregation":"count","credit":{"boundary":"Inventory or textual extraction; no proof execution, scope review or exhaustive discovery is implied.","inputs":[{"credit":"Will Cook, OpenAI Math Atlas; source manuscripts and Lean quotations credited to OpenAI.","kind":"attributed-extraction","license":"Apache-2.0","pin":"8056826bbd00caea871ad036bd295182e2bef3e2","sha256":"sha256:c07f9b04d169dfc16d7291b629ab7d24f31997322fdab1bfaad86c204ad136a9","source":"data/statements.json"}],"kind":"computed-from-captured-ledger","pin":"fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb","repository":"https://github.com/openai/math","source_fields":[{"path":"../ledger.json","pointer":"/challenges"}]},"hash_scope":"complete-receipt-except-sha256","issues":[],"key":"lean_definition_holes","rule":"Each definition_names occurrence per challenge configuration, retaining repeated names and ordinals; configured holes are not actual proof dependencies.","sha256":"sha256:85dbd4b1b94af887630eedb2845ae4d050fa847ea44393389ee187da2fffd0a2","source_comparison":{"boundary":"Reported comparison only; the computed value uses the receipt membership and selection rule.","credit":{"boundary":"Inventory or textual extraction; no proof execution, scope review or exhaustive discovery is implied.","inputs":[{"credit":"Will Cook, OpenAI Math Atlas; source manuscripts and Lean quotations credited to OpenAI.","kind":"attributed-extraction","license":"Apache-2.0","pin":"8056826bbd00caea871ad036bd295182e2bef3e2","sha256":"sha256:eb49d29733173039adccb27b75e56b3d8a77b07aab80c2c9d9a769c9a2c56bc8","source":"data/summary.json"}],"kind":"attributed-source-report","pin":"fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb","repository":"https://github.com/openai/math","source_fields":[{"path":"../ledger.json","pointer":"/source_baseline_summary"}]},"definition":null,"detail":{"path":"../ledger.json","pointer":"/source_baseline_summary/lean_definition_holes"},"kind":"source-reported-aggregate","reported_receipts":[{"key":"lean_definition_holes","rule":"Names in a configuration's definition_names, across 10 configurations. Comparator compares these definitions by name and type only; their bodies come from OpenAI's solution, so a reader checks what each body means.","source":"scripts/build_data.py","unit":"definition holes","universe":"openai/math at fd4aeeb2ee4f, lean/ComparatorChallenges/*.json","value":65}],"value":65},"state":"computed","unit":"configured definition-hole occurrences","value":65},"pin":"fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb","reconstruction":"Concatenate each named collection in page order and restore it on number. The logical receipt digest binds the complete record; page hashes alone do not establish the aggregate.","release_id":"openai-math","schema":"statement-map-web/2"}
