{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2UAFUQ7RM7JZ7XLVDUEJ644UM4","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":"ef270f3cf4678dabbb51464c904cf6afaec4f290d6812672e6d34425c12f8736","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-09T19:24:21Z","title_canon_sha256":"fb32e8e8642d375b910018a38579301c2f725f809a3fd71bf7b845e7b1e93a49"},"schema_version":"1.0","source":{"id":"1012.2087","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.2087","created_at":"2026-05-18T04:30:05Z"},{"alias_kind":"arxiv_version","alias_value":"1012.2087v2","created_at":"2026-05-18T04:30:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2087","created_at":"2026-05-18T04:30:05Z"},{"alias_kind":"pith_short_12","alias_value":"2UAFUQ7RM7JZ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2UAFUQ7RM7JZ7XLV","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2UAFUQ7R","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:eab572a0c9a83acd09dc99f3dc9f5caa0bcae7c065d3bb9f56a659f0fb0ade90","target":"graph","created_at":"2026-05-18T04:30:05Z","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":"We prove a vanishing theorem for the twisted de Rham cohomology of a compact manifold.","authors_text":"Ana Cristina Ferreira","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-09T19:24:21Z","title":"A vanishing theorem in twisted de Rham cohomology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2087","kind":"arxiv","version":2},"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:c925eb18cf8be5edd93d128829aaf3883f75199f878dde248cdbcbb50b4df601","target":"record","created_at":"2026-05-18T04:30:05Z","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":"ef270f3cf4678dabbb51464c904cf6afaec4f290d6812672e6d34425c12f8736","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-09T19:24:21Z","title_canon_sha256":"fb32e8e8642d375b910018a38579301c2f725f809a3fd71bf7b845e7b1e93a49"},"schema_version":"1.0","source":{"id":"1012.2087","kind":"arxiv","version":2}},"canonical_sha256":"d5005a43f167d39fdd751d089f7394672ab35eed2c16302b9353d47629aaa47b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d5005a43f167d39fdd751d089f7394672ab35eed2c16302b9353d47629aaa47b","first_computed_at":"2026-05-18T04:30:05.170893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:30:05.170893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xNyACF3IZlaWoQf/P5de3o9g2YO+zDzfpNe5xPEf7ausJ7dCxO70wozO5FbAnjetY5appSd6v+nYS9hXwew1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:30:05.171452Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.2087","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c925eb18cf8be5edd93d128829aaf3883f75199f878dde248cdbcbb50b4df601","sha256:eab572a0c9a83acd09dc99f3dc9f5caa0bcae7c065d3bb9f56a659f0fb0ade90"],"state_sha256":"7ab9b2976f3a2cd319110bbb0fc553d09866b2d22de78c4cfb17e17e5cf2333a"}