{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:SNFXHJ47CVCFFN4FPZNUOQWASM","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":"d9d3a711137da073b1cff7568d3041906905f0738022dc7374c79cf167a5554d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-26T10:24:27Z","title_canon_sha256":"4416d9f5571a04113928219d086f6f77820ab26e537295649e589784d37a083e"},"schema_version":"1.0","source":{"id":"1112.5832","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5832","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5832v1","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5832","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"SNFXHJ47CVCF","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"SNFXHJ47CVCFFN4F","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"SNFXHJ47","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:7ae2fd0bdeead0ae65993c1e7c07b32ac70da7cf4276ef10987deb790401f155","target":"graph","created_at":"2026-05-18T04:05:37Z","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":"This article is an expanded version of the talk given by Ch. O. at the Second Latin Congress on \"Symmetries in Geometry and Physics\" in Curitiba, Brazil in December 2010. In this version we explain the topological and gauge-theoretical aspects of our paper \"Abelian Yang-Mills theory on Real tori and Theta divisors of Klein surfaces\".","authors_text":"Andrei Teleman, Christian Okonek","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-26T10:24:27Z","title":"Real determinant line bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5832","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":"sha256:57fa12529f81175415b90dfe45d18396d54112e3eabbf16b58a9668e18f9bd6f","target":"record","created_at":"2026-05-18T04:05:37Z","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":"d9d3a711137da073b1cff7568d3041906905f0738022dc7374c79cf167a5554d","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-12-26T10:24:27Z","title_canon_sha256":"4416d9f5571a04113928219d086f6f77820ab26e537295649e589784d37a083e"},"schema_version":"1.0","source":{"id":"1112.5832","kind":"arxiv","version":1}},"canonical_sha256":"934b73a79f154452b7857e5b4742c0932713479324b5dec4ee8996bcb6a4efd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"934b73a79f154452b7857e5b4742c0932713479324b5dec4ee8996bcb6a4efd4","first_computed_at":"2026-05-18T04:05:37.508837Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:37.508837Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NZwcc5HS6ZusWyHTvI7ZIkHUUb/YVNfrj2r3XbdlNjAB/tgBnL3jjKp5LfEnEw1iQj/MZp+rFJ9XjCmhGajyBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:37.509491Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.5832","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57fa12529f81175415b90dfe45d18396d54112e3eabbf16b58a9668e18f9bd6f","sha256:7ae2fd0bdeead0ae65993c1e7c07b32ac70da7cf4276ef10987deb790401f155"],"state_sha256":"9969ccdeb04eeefa2d56d9d1928e941eae22116ad0a9f2ad9bf51335e89a90f7"}