{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:6REZYOT554ZYAKFNSSS7JPICO4","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":"ae26e64dece5e30c151dad0a369e63559133b4d4588e1f5e3ee20fb91e46b904","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-04T02:56:01Z","title_canon_sha256":"5c6d1f2ce41f3a3f7098e904a328fb22d0fdeea39cb98cb08b2687c1f03400c8"},"schema_version":"1.0","source":{"id":"1205.0848","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1205.0848","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"arxiv_version","alias_value":"1205.0848v1","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.0848","created_at":"2026-05-18T03:56:23Z"},{"alias_kind":"pith_short_12","alias_value":"6REZYOT554ZY","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"6REZYOT554ZYAKFN","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"6REZYOT5","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:d814a3155decb44148aba7d6fc307b7d5c055aac93189046fdf9bad400ee9d24","target":"graph","created_at":"2026-05-18T03:56:23Z","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 conjecture of Durr, Kabanov and Okonek which provides an algebro-geometric theory of Seiberg-Witten invariants for all smooth projective surfaces. Our main technique is the cosection localization principle of virtual cycles.","authors_text":"Huai-Liang Chang, Young-Hoon Kiem","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-04T02:56:01Z","title":"Poincare invariants are Seiberg-Witten invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.0848","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:de049a357f9a4f569f8b6f2c73153bd96a7cf72a95edecdf738539a5d92e985c","target":"record","created_at":"2026-05-18T03:56:23Z","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":"ae26e64dece5e30c151dad0a369e63559133b4d4588e1f5e3ee20fb91e46b904","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2012-05-04T02:56:01Z","title_canon_sha256":"5c6d1f2ce41f3a3f7098e904a328fb22d0fdeea39cb98cb08b2687c1f03400c8"},"schema_version":"1.0","source":{"id":"1205.0848","kind":"arxiv","version":1}},"canonical_sha256":"f4499c3a7def338028ad94a5f4bd02773f0bdd8f1886d2877d0b8724da42216c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4499c3a7def338028ad94a5f4bd02773f0bdd8f1886d2877d0b8724da42216c","first_computed_at":"2026-05-18T03:56:23.781259Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:23.781259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hR0fPi22tAWtW+nhejCwxwbqnQ/bMfC2qRAAffJXrg80mLvn83FZSVfKdP7pZUmaBs9BiL/oO9pr4ycDyQa8Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:23.781968Z","signed_message":"canonical_sha256_bytes"},"source_id":"1205.0848","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:de049a357f9a4f569f8b6f2c73153bd96a7cf72a95edecdf738539a5d92e985c","sha256:d814a3155decb44148aba7d6fc307b7d5c055aac93189046fdf9bad400ee9d24"],"state_sha256":"aff0f5fedf13451aa067fe5e85a1891c827635f59da7ad2a9b820649449ccbeb"}