{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:56D4O7TK454XAA4BCCSJNSRCXU","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":"228824a6121dc1e3d35f9fdcaad5a2e3d1ec25d82a8b3445aee1145a42f82559","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-12-22T18:00:33Z","title_canon_sha256":"4d71899cc0df1b9e6e97194b31ab6242d8c603b38bcf4d85fddfd02ca19f0943"},"schema_version":"1.0","source":{"id":"2012.12214","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.12214","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"arxiv_version","alias_value":"2012.12214v2","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.12214","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_12","alias_value":"56D4O7TK454X","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_16","alias_value":"56D4O7TK454XAA4B","created_at":"2026-06-23T00:11:47Z"},{"alias_kind":"pith_short_8","alias_value":"56D4O7TK","created_at":"2026-06-23T00:11:47Z"}],"graph_snapshots":[{"event_id":"sha256:4b6f3fb4a38ed609188f46c4fe5c5f6c05948a2ae5169d75d7a7d0962856a6db","target":"graph","created_at":"2026-06-23T00:11:47Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2012.12214/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Vertex algebras and factorization algebras are two approaches to chiral conformal field theory. Costello and Gwilliam describe how every holomorphic factorization algebra on the plane of complex numbers satisfying certain assumptions gives rise to a Z-graded vertex algebra. They construct some models of chiral conformal theory as factorization algebras. We attach a factorization algebra to every Z-graded vertex algebra.","authors_text":"Daniel Bruegmann","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-12-22T18:00:33Z","title":"Vertex Algebras and Costello-Gwilliam Factorization Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.12214","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":"sha256:4acc69c83bab34b37d8f60bb9d09e298ddddf11cb4ad906b5f006e2772d97497","target":"record","created_at":"2026-06-23T00:11:47Z","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":"228824a6121dc1e3d35f9fdcaad5a2e3d1ec25d82a8b3445aee1145a42f82559","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-12-22T18:00:33Z","title_canon_sha256":"4d71899cc0df1b9e6e97194b31ab6242d8c603b38bcf4d85fddfd02ca19f0943"},"schema_version":"1.0","source":{"id":"2012.12214","kind":"arxiv","version":2}},"canonical_sha256":"ef87c77e6ae77970038110a496ca22bd3b2714f11b04bafb7eebc2e3250f870a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ef87c77e6ae77970038110a496ca22bd3b2714f11b04bafb7eebc2e3250f870a","first_computed_at":"2026-06-23T00:11:47.466510Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-23T00:11:47.466510Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jdFleUlkC1VT/sBOJvuJGssG83P/dZyseOVj6G4T8XYQ6zCe4ybR1T9LclpVinacekhg582HBw5uatX8ZapgAw==","signature_status":"signed_v1","signed_at":"2026-06-23T00:11:47.467005Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.12214","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4acc69c83bab34b37d8f60bb9d09e298ddddf11cb4ad906b5f006e2772d97497","sha256:4b6f3fb4a38ed609188f46c4fe5c5f6c05948a2ae5169d75d7a7d0962856a6db"],"state_sha256":"e86360b9e8c533c68151a5f13c231b324040543c79c85fffb7e394da0887f4ea"}