{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:2K5354XANTKBKXRPIHZIJUC3YR","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"bbbef6be272938ed63483a532440e0dcd648917ff2e6f8d1f5c45d46823e5d17","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2000-12-06T20:37:06Z","title_canon_sha256":"bcaef3129f4d11d688d19cc705d355749735f7a881988c9d3cf3432768772aa9"},"schema_version":"1.0","source":{"id":"math-ph/0012009","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0012009","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0012009v1","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0012009","created_at":"2026-05-18T00:57:05Z"},{"alias_kind":"pith_short_12","alias_value":"2K5354XANTKB","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2K5354XANTKBKXRP","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2K5354XA","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:a5fc132da253a9756c42daafae8bab2ec2d2e51550093cbb3155c9e536ee5dc2","target":"graph","created_at":"2026-05-18T00:57:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Old and new results for characterizing volume forms in functional integration.","authors_text":"Alex Wurm, Cecile DeWitt-Morette, Marcus Berg, Pierre Cartier","cross_cats":["math.MP"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"2000-12-06T20:37:06Z","title":"Characterizing Volume Forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0012009","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:40ca214fea5563141e321508ea65a747997e22f21258f75109841d719df097b0","target":"record","created_at":"2026-05-18T00:57:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"bbbef6be272938ed63483a532440e0dcd648917ff2e6f8d1f5c45d46823e5d17","cross_cats_sorted":["math.MP"],"license":"","primary_cat":"math-ph","submitted_at":"2000-12-06T20:37:06Z","title_canon_sha256":"bcaef3129f4d11d688d19cc705d355749735f7a881988c9d3cf3432768772aa9"},"schema_version":"1.0","source":{"id":"math-ph/0012009","kind":"arxiv","version":1}},"canonical_sha256":"d2bbbef2e06cd4155e2f41f284d05bc47b38e37f3e80b92d3bb45ca71668f6af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2bbbef2e06cd4155e2f41f284d05bc47b38e37f3e80b92d3bb45ca71668f6af","first_computed_at":"2026-05-18T00:57:05.424264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:05.424264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j510vWJODBic5GkQ6VF0zfiPV4nXfu19XHfRUtmSr+NrmBKK+w02DLwyZKyxyBo3W8jpj1lyB9WfICsBY1wSDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:05.424869Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/0012009","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40ca214fea5563141e321508ea65a747997e22f21258f75109841d719df097b0","sha256:a5fc132da253a9756c42daafae8bab2ec2d2e51550093cbb3155c9e536ee5dc2"],"state_sha256":"9b9dd01563e2d626310fd104206daaa5843c760b0c4cb8b1c4e79936ac689bee"}