{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:YKRMGKGEAFHTMAJCXJOBKLAEJG","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":"b5af59cd8ad823f04ab344770359423b8d839ab9f38bb11bc9fddfddd3fbce33","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-06-29T08:08:32Z","title_canon_sha256":"9e55d89c6025d5dafdb20d85f414d5a9e3d0e2403ea99a4e2c36a8d156f5844f"},"schema_version":"1.0","source":{"id":"2006.15859","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2006.15859","created_at":"2026-07-05T01:14:10Z"},{"alias_kind":"arxiv_version","alias_value":"2006.15859v1","created_at":"2026-07-05T01:14:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2006.15859","created_at":"2026-07-05T01:14:10Z"},{"alias_kind":"pith_short_12","alias_value":"YKRMGKGEAFHT","created_at":"2026-07-05T01:14:10Z"},{"alias_kind":"pith_short_16","alias_value":"YKRMGKGEAFHTMAJC","created_at":"2026-07-05T01:14:10Z"},{"alias_kind":"pith_short_8","alias_value":"YKRMGKGE","created_at":"2026-07-05T01:14:10Z"}],"graph_snapshots":[{"event_id":"sha256:fbb9a8bb297a8b2394d9876167156963330adbe379d80b880b226f13736abf45","target":"graph","created_at":"2026-07-05T01:14:10Z","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/2006.15859/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In physics, it is believed that the consistency of two dimensional conformal field theory follows from the bootstrap equation. In this paper, we introduce the notion of a full vertex algebra by analyzing the bootstrap equation, which is a \"real analytic\" generalization of a $\\mathbb{Z}$-graded vertex algebra. We also give a mathematical formulation of the consistency of four point correlation functions in two dimensional conformal field theory and prove it for a full vertex algebra with additional assumptions on the conformal symmetry. In particular, we show that the bootstrap equation togethe","authors_text":"Yuto Moriwaki","cross_cats":["hep-th","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-06-29T08:08:32Z","title":"Full vertex algebra and bootstrap -- consistency of four point functions in 2d CFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2006.15859","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:df3c43241afdabf301bff13e92a6e65d5080b0b0fe0581ecef2125735d47985a","target":"record","created_at":"2026-07-05T01:14:10Z","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":"b5af59cd8ad823f04ab344770359423b8d839ab9f38bb11bc9fddfddd3fbce33","cross_cats_sorted":["hep-th","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2020-06-29T08:08:32Z","title_canon_sha256":"9e55d89c6025d5dafdb20d85f414d5a9e3d0e2403ea99a4e2c36a8d156f5844f"},"schema_version":"1.0","source":{"id":"2006.15859","kind":"arxiv","version":1}},"canonical_sha256":"c2a2c328c4014f360122ba5c152c0449ab3191b5383f176ab2a1d742065a0857","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c2a2c328c4014f360122ba5c152c0449ab3191b5383f176ab2a1d742065a0857","first_computed_at":"2026-07-05T01:14:10.124048Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:14:10.124048Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q2dI8nZ7H3O6pxWPiaWIxN0Z64vXl36/GyEzvckeqBxbcBUIwHy6Q6upDDZmhDudkyjxuXPEyw/k6b+8qgXNAw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:14:10.124487Z","signed_message":"canonical_sha256_bytes"},"source_id":"2006.15859","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df3c43241afdabf301bff13e92a6e65d5080b0b0fe0581ecef2125735d47985a","sha256:fbb9a8bb297a8b2394d9876167156963330adbe379d80b880b226f13736abf45"],"state_sha256":"a5fe82692997f6ae10ce1fc067405191f9b12549642a4ad39bbd8d560aee4362"}