{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:PSAQXYEE6D77RZOPJMABDULULJ","short_pith_number":"pith:PSAQXYEE","canonical_record":{"source":{"id":"2411.07707","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-11-12T10:47:19Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"95a6568bcd55e8a0da2a0302b81e2efefcff2859ad40b3287496f327e8e74553","abstract_canon_sha256":"3e36abdbbea5825376d4c3a7786fb650667a896a1283e0e977cda4ce11c4b2a5"},"schema_version":"1.0"},"canonical_sha256":"7c810be084f0fff8e5cf4b0011d1745a70903355b73b498edfc8523ee8a8aa49","source":{"kind":"arxiv","id":"2411.07707","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.07707","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.07707v4","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.07707","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"PSAQXYEE6D77","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"PSAQXYEE6D77RZOP","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"PSAQXYEE","created_at":"2026-07-05T12:03:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:PSAQXYEE6D77RZOPJMABDULULJ","target":"record","payload":{"canonical_record":{"source":{"id":"2411.07707","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-11-12T10:47:19Z","cross_cats_sorted":["math-ph","math.MP","math.RT"],"title_canon_sha256":"95a6568bcd55e8a0da2a0302b81e2efefcff2859ad40b3287496f327e8e74553","abstract_canon_sha256":"3e36abdbbea5825376d4c3a7786fb650667a896a1283e0e977cda4ce11c4b2a5"},"schema_version":"1.0"},"canonical_sha256":"7c810be084f0fff8e5cf4b0011d1745a70903355b73b498edfc8523ee8a8aa49","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T12:03:44.153898Z","signature_b64":"Y80W+T7BOQTurfmQ4jL2v2amvqZ2sfGR5RSuIGMA+/a5DkyIA7T/2P/nOtg8mVJnEfuPsfGmNldpKQEl9rmPCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c810be084f0fff8e5cf4b0011d1745a70903355b73b498edfc8523ee8a8aa49","last_reissued_at":"2026-07-05T12:03:44.153407Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T12:03:44.153407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.07707","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lRhuXaubDzK8pJVzFogTeZ6AqNiVZvBPYFtVDRMdAVbSoXmGoZovqBgd05zeFJVehxDZVuOiUPk1CAnW4rTBBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:09:22.711405Z"},"content_sha256":"86dc0c9e8d5ce3cd97d4ca87db6d7428418c3f6511e39db0c4e35c4d8fa5675e","schema_version":"1.0","event_id":"sha256:86dc0c9e8d5ce3cd97d4ca87db6d7428418c3f6511e39db0c4e35c4d8fa5675e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:PSAQXYEE6D77RZOPJMABDULULJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.RT"],"primary_cat":"math.QA","authors_text":"Bin Gui, Hao Zhang","submitted_at":"2024-11-12T10:47:19Z","abstract_excerpt":"Let $\\mathbb V=\\bigoplus_{n\\in\\mathbb N}\\mathbb V(n)$ be a $C_2$-cofinite vertex operator algebra. We prove the convergence of Segal's sewing of conformal blocks associated to analytic families of pointed compact Riemann surfaces and grading-restricted generalized $\\mathbb V^{\\otimes N}$-modules (where $N=1,2,\\dots$) that are not necessarily tensor products of $\\mathbb V$-modules, generalizing significantly the results on convergence in [Gui24].\n  We show that ``higher genus pseudo-$q$-traces\" (called pseudo-sewing in this article) can be recovered from the above generalization of Segal's sewi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.07707","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.07707/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T12:03:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pm2cxyfPO5RsiiezQIYAETVZj97FHsFX06seO8ZvMG9cGX485UgKciRsIMWsRBcEg50bILh/UydBGVua/TdGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:09:22.711923Z"},"content_sha256":"e3706ce972425de4763a7fcbaf9a18fad845f07f4f4ed8ae703dcf774c87678e","schema_version":"1.0","event_id":"sha256:e3706ce972425de4763a7fcbaf9a18fad845f07f4f4ed8ae703dcf774c87678e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PSAQXYEE6D77RZOPJMABDULULJ/bundle.json","state_url":"https://pith.science/pith/PSAQXYEE6D77RZOPJMABDULULJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PSAQXYEE6D77RZOPJMABDULULJ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-04T05:09:22Z","links":{"resolver":"https://pith.science/pith/PSAQXYEE6D77RZOPJMABDULULJ","bundle":"https://pith.science/pith/PSAQXYEE6D77RZOPJMABDULULJ/bundle.json","state":"https://pith.science/pith/PSAQXYEE6D77RZOPJMABDULULJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PSAQXYEE6D77RZOPJMABDULULJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:PSAQXYEE6D77RZOPJMABDULULJ","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":"3e36abdbbea5825376d4c3a7786fb650667a896a1283e0e977cda4ce11c4b2a5","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-11-12T10:47:19Z","title_canon_sha256":"95a6568bcd55e8a0da2a0302b81e2efefcff2859ad40b3287496f327e8e74553"},"schema_version":"1.0","source":{"id":"2411.07707","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.07707","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"arxiv_version","alias_value":"2411.07707v4","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.07707","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_12","alias_value":"PSAQXYEE6D77","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_16","alias_value":"PSAQXYEE6D77RZOP","created_at":"2026-07-05T12:03:44Z"},{"alias_kind":"pith_short_8","alias_value":"PSAQXYEE","created_at":"2026-07-05T12:03:44Z"}],"graph_snapshots":[{"event_id":"sha256:e3706ce972425de4763a7fcbaf9a18fad845f07f4f4ed8ae703dcf774c87678e","target":"graph","created_at":"2026-07-05T12:03:44Z","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/2411.07707/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let $\\mathbb V=\\bigoplus_{n\\in\\mathbb N}\\mathbb V(n)$ be a $C_2$-cofinite vertex operator algebra. We prove the convergence of Segal's sewing of conformal blocks associated to analytic families of pointed compact Riemann surfaces and grading-restricted generalized $\\mathbb V^{\\otimes N}$-modules (where $N=1,2,\\dots$) that are not necessarily tensor products of $\\mathbb V$-modules, generalizing significantly the results on convergence in [Gui24].\n  We show that ``higher genus pseudo-$q$-traces\" (called pseudo-sewing in this article) can be recovered from the above generalization of Segal's sewi","authors_text":"Bin Gui, Hao Zhang","cross_cats":["math-ph","math.MP","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-11-12T10:47:19Z","title":"Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.07707","kind":"arxiv","version":4},"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":"sha256:86dc0c9e8d5ce3cd97d4ca87db6d7428418c3f6511e39db0c4e35c4d8fa5675e","target":"record","created_at":"2026-07-05T12:03:44Z","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":"3e36abdbbea5825376d4c3a7786fb650667a896a1283e0e977cda4ce11c4b2a5","cross_cats_sorted":["math-ph","math.MP","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2024-11-12T10:47:19Z","title_canon_sha256":"95a6568bcd55e8a0da2a0302b81e2efefcff2859ad40b3287496f327e8e74553"},"schema_version":"1.0","source":{"id":"2411.07707","kind":"arxiv","version":4}},"canonical_sha256":"7c810be084f0fff8e5cf4b0011d1745a70903355b73b498edfc8523ee8a8aa49","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c810be084f0fff8e5cf4b0011d1745a70903355b73b498edfc8523ee8a8aa49","first_computed_at":"2026-07-05T12:03:44.153407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:03:44.153407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y80W+T7BOQTurfmQ4jL2v2amvqZ2sfGR5RSuIGMA+/a5DkyIA7T/2P/nOtg8mVJnEfuPsfGmNldpKQEl9rmPCw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:03:44.153898Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.07707","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86dc0c9e8d5ce3cd97d4ca87db6d7428418c3f6511e39db0c4e35c4d8fa5675e","sha256:e3706ce972425de4763a7fcbaf9a18fad845f07f4f4ed8ae703dcf774c87678e"],"state_sha256":"f23f1820a1bc9c4474ceb0ad672496c29aaeafaf715c1de7b4876d0356f77a36"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9qrfMVGe4aZ6Px3LQauPd1/rPix8NyXIlP/2rHvA46IBfzmueC948bOI3IfLyekRmaxmfgy+aS6eijkuatOPDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:09:22.715688Z","bundle_sha256":"910d78c09cc89a909969eb6e2c29de4de32f26238a0f10dd3f9592a6e2e17eba"}}