{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:RC6QEBH2F6O475PCTMTTRVXHND","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":"fc46b95775e238c13487c0295d5f2dd91d9baed29c297787d066559cf1318411","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-01-24T22:50:54Z","title_canon_sha256":"d2e7839cb6cd50670348d1c9eaf44a0e1132dd376fed89f27c27f25d1ca6c2f2"},"schema_version":"1.0","source":{"id":"1201.5150","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5150","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5150v1","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5150","created_at":"2026-05-18T04:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"RC6QEBH2F6O4","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"RC6QEBH2F6O475PC","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"RC6QEBH2","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:0803e692964fa655cd0d61fb02c9003961f2590560ba5f3a9b8d3520fb1d9930","target":"graph","created_at":"2026-05-18T04:03:55Z","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":"We investigate some connections between two different ways of defining Poincar\\'e Duality, and relate them geometrically to the level curve mapping.","authors_text":"Lucien Clavier","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-01-24T22:50:54Z","title":"Visualizing Poincar\\'e Duality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5150","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":"sha256:21fcfc83c7930252ea1f74e931d293848883d13e1cabcc36b9b3538121d9022a","target":"record","created_at":"2026-05-18T04:03:55Z","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":"fc46b95775e238c13487c0295d5f2dd91d9baed29c297787d066559cf1318411","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2012-01-24T22:50:54Z","title_canon_sha256":"d2e7839cb6cd50670348d1c9eaf44a0e1132dd376fed89f27c27f25d1ca6c2f2"},"schema_version":"1.0","source":{"id":"1201.5150","kind":"arxiv","version":1}},"canonical_sha256":"88bd0204fa2f9dcff5e29b2738d6e768d47f3c988d64d5a57312a9b9d93eff1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88bd0204fa2f9dcff5e29b2738d6e768d47f3c988d64d5a57312a9b9d93eff1f","first_computed_at":"2026-05-18T04:03:55.477524Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:03:55.477524Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a8WCGV10SO+UbHooUHVEUyEnkGLKgR4/7DI3a1TcR+D+cCj0Rx0NArKhof5+hCju7tv/Tk4xvQQnEJCRCbkWCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:03:55.478239Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5150","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21fcfc83c7930252ea1f74e931d293848883d13e1cabcc36b9b3538121d9022a","sha256:0803e692964fa655cd0d61fb02c9003961f2590560ba5f3a9b8d3520fb1d9930"],"state_sha256":"b4883e6ad5d87c47aa5ac9bb2af9c3a33dc46e4643802b3450dfd5beed72b6d5"}