{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:G2PSRJPEKUSTXQTBRGF7UAZTTM","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":"05cf8fec449f7fd9e4c10554dbe1d092c4b8c2cac4b100681c1f80ebfc8b3c02","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-17T08:22:36Z","title_canon_sha256":"afcf04b0404d5e18d3348867b3d08c66d63b45d7f7a822f73e7f27b563e50e96"},"schema_version":"1.0","source":{"id":"1406.4269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.4269","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"arxiv_version","alias_value":"1406.4269v1","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.4269","created_at":"2026-05-18T01:25:03Z"},{"alias_kind":"pith_short_12","alias_value":"G2PSRJPEKUST","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"G2PSRJPEKUSTXQTB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"G2PSRJPE","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:0c3c294d50d800f08e75fcccfcbeeaed643af0bf91822a17686bc55af2393bc0","target":"graph","created_at":"2026-05-18T01:25:03Z","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":"In this paper we prove the existence and uniqueness of a topological quantum field theory that incorporates, for all Riemann surfaces, the corresponding spaces of theta functions and the actions of the Heisenberg groups and modular groups on them.","authors_text":"Alastair Hamilton, Razvan Gelca","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-17T08:22:36Z","title":"The topological quantum field theory of Riemann's theta functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.4269","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":"sha256:8255295da76306274c3a1def879574debf71d0b7834f28c6a663da1e65fb20a5","target":"record","created_at":"2026-05-18T01:25:03Z","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":"05cf8fec449f7fd9e4c10554dbe1d092c4b8c2cac4b100681c1f80ebfc8b3c02","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-06-17T08:22:36Z","title_canon_sha256":"afcf04b0404d5e18d3348867b3d08c66d63b45d7f7a822f73e7f27b563e50e96"},"schema_version":"1.0","source":{"id":"1406.4269","kind":"arxiv","version":1}},"canonical_sha256":"369f28a5e455253bc261898bfa03339b22098e5624b6eaa5d19f3c41d89b0091","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"369f28a5e455253bc261898bfa03339b22098e5624b6eaa5d19f3c41d89b0091","first_computed_at":"2026-05-18T01:25:03.466592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:25:03.466592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vliNDzqf99Q14qiPQsuiRW9rokyUmGQBtstjje56kpg61eAn1nGoNDzwYEHnVlVvV4Aub2XItsOtsCU0g+sADw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:25:03.467282Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.4269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8255295da76306274c3a1def879574debf71d0b7834f28c6a663da1e65fb20a5","sha256:0c3c294d50d800f08e75fcccfcbeeaed643af0bf91822a17686bc55af2393bc0"],"state_sha256":"5054e77d46650923bd54bacd0f39525b13bff89c5c07a2defc4d51f862597867"}