{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:T3RWJBMFGCBUFZOQE34LGXGIHC","short_pith_number":"pith:T3RWJBMF","canonical_record":{"source":{"id":"1809.02661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-07T20:20:58Z","cross_cats_sorted":["math.MP","math.QA"],"title_canon_sha256":"cb24882be9a74ecdbd481647746bc8adb617d362c882b43c02e97f699044e3a2","abstract_canon_sha256":"e031ee3db794ef6cd2d263b3c728be5ce03a6487c574e3902688adb0341cc2bc"},"schema_version":"1.0"},"canonical_sha256":"9ee3648585308342e5d026f8b35cc838a267e057300421f89fe456285b43cb40","source":{"kind":"arxiv","id":"1809.02661","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02661","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02661v2","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02661","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"T3RWJBMFGCBU","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_16","alias_value":"T3RWJBMFGCBUFZOQ","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_8","alias_value":"T3RWJBMF","created_at":"2026-07-05T00:43:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:T3RWJBMFGCBUFZOQE34LGXGIHC","target":"record","payload":{"canonical_record":{"source":{"id":"1809.02661","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-07T20:20:58Z","cross_cats_sorted":["math.MP","math.QA"],"title_canon_sha256":"cb24882be9a74ecdbd481647746bc8adb617d362c882b43c02e97f699044e3a2","abstract_canon_sha256":"e031ee3db794ef6cd2d263b3c728be5ce03a6487c574e3902688adb0341cc2bc"},"schema_version":"1.0"},"canonical_sha256":"9ee3648585308342e5d026f8b35cc838a267e057300421f89fe456285b43cb40","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:43:18.161244Z","signature_b64":"36JeZuy+L3+CKz8CUThAaq2wDWnVe78qa4Rm3AJZu0R0YHugYDgh01rM/C2oR01xwvy4+TfcPpYRXWAXALOyCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ee3648585308342e5d026f8b35cc838a267e057300421f89fe456285b43cb40","last_reissued_at":"2026-07-05T00:43:18.160801Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:43:18.160801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.02661","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Tap9OxU1O9DXs6G9NoiO4gmY8PpOATw8KooMAoUqh7c0zYeSYscZX9F2rqoOIRcDGXsmzRxeRar60S5NGSJCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:30:50.200490Z"},"content_sha256":"0ad097e98f767746355f3402e55d8bba6c51ddb569f926b83d3636a405fddc76","schema_version":"1.0","event_id":"sha256:0ad097e98f767746355f3402e55d8bba6c51ddb569f926b83d3636a405fddc76"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:T3RWJBMFGCBUFZOQE34LGXGIHC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization for holomorphic field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Brian R. Williams","submitted_at":"2018-09-07T20:20:58Z","abstract_excerpt":"We introduce the concept of a holomorphic field theory on any complex manifold in the language of the Batalin-Vilkovisky formalism. When the complex dimension is one, this setting agrees with that of chiral conformal field theory. Our main result concerns the behavior of holomorphic theories under renormalization group flow. Namely, we show that holomorphic theories are one-loop finite. We use this to completely characterize holomorphic anomalies in any dimension. Throughout, we compare our approach to holomorphic field theories to more familiar approaches including that of supersymmetric fiel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02661","kind":"arxiv","version":2},"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/1809.02661/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":"2026-07-05T00:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xb51r5UERa3ykdMpbpW0ScTZfzbOtiZhLo0xZ96dVh2RteqXgOg/bn5A6FNKazdCGKPqdRJOrvv4lDtYmujvDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T06:30:50.201006Z"},"content_sha256":"768a27d75aa22f9de01fe97880410b2e6e5d8c1a325678903c525da663b73866","schema_version":"1.0","event_id":"sha256:768a27d75aa22f9de01fe97880410b2e6e5d8c1a325678903c525da663b73866"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/bundle.json","state_url":"https://pith.science/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/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":"2026-08-04T06:30:50Z","links":{"resolver":"https://pith.science/pith/T3RWJBMFGCBUFZOQE34LGXGIHC","bundle":"https://pith.science/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/bundle.json","state":"https://pith.science/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T3RWJBMFGCBUFZOQE34LGXGIHC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:T3RWJBMFGCBUFZOQE34LGXGIHC","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":"e031ee3db794ef6cd2d263b3c728be5ce03a6487c574e3902688adb0341cc2bc","cross_cats_sorted":["math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-07T20:20:58Z","title_canon_sha256":"cb24882be9a74ecdbd481647746bc8adb617d362c882b43c02e97f699044e3a2"},"schema_version":"1.0","source":{"id":"1809.02661","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02661","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02661v2","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02661","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"T3RWJBMFGCBU","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_16","alias_value":"T3RWJBMFGCBUFZOQ","created_at":"2026-07-05T00:43:18Z"},{"alias_kind":"pith_short_8","alias_value":"T3RWJBMF","created_at":"2026-07-05T00:43:18Z"}],"graph_snapshots":[{"event_id":"sha256:768a27d75aa22f9de01fe97880410b2e6e5d8c1a325678903c525da663b73866","target":"graph","created_at":"2026-07-05T00:43:18Z","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/1809.02661/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the concept of a holomorphic field theory on any complex manifold in the language of the Batalin-Vilkovisky formalism. When the complex dimension is one, this setting agrees with that of chiral conformal field theory. Our main result concerns the behavior of holomorphic theories under renormalization group flow. Namely, we show that holomorphic theories are one-loop finite. We use this to completely characterize holomorphic anomalies in any dimension. Throughout, we compare our approach to holomorphic field theories to more familiar approaches including that of supersymmetric fiel","authors_text":"Brian R. Williams","cross_cats":["math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-07T20:20:58Z","title":"Renormalization for holomorphic field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02661","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":"sha256:0ad097e98f767746355f3402e55d8bba6c51ddb569f926b83d3636a405fddc76","target":"record","created_at":"2026-07-05T00:43:18Z","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":"e031ee3db794ef6cd2d263b3c728be5ce03a6487c574e3902688adb0341cc2bc","cross_cats_sorted":["math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-09-07T20:20:58Z","title_canon_sha256":"cb24882be9a74ecdbd481647746bc8adb617d362c882b43c02e97f699044e3a2"},"schema_version":"1.0","source":{"id":"1809.02661","kind":"arxiv","version":2}},"canonical_sha256":"9ee3648585308342e5d026f8b35cc838a267e057300421f89fe456285b43cb40","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ee3648585308342e5d026f8b35cc838a267e057300421f89fe456285b43cb40","first_computed_at":"2026-07-05T00:43:18.160801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:18.160801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36JeZuy+L3+CKz8CUThAaq2wDWnVe78qa4Rm3AJZu0R0YHugYDgh01rM/C2oR01xwvy4+TfcPpYRXWAXALOyCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:18.161244Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02661","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ad097e98f767746355f3402e55d8bba6c51ddb569f926b83d3636a405fddc76","sha256:768a27d75aa22f9de01fe97880410b2e6e5d8c1a325678903c525da663b73866"],"state_sha256":"b836dc5993d31e84b204014d22299ff2d86e52bbf4f9328bfd8231b4b8066ed0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YlYvKkJ4TqCkt+w+sf0B8C10KPhiZDEfe1lga1xhpolzN2icLo19NEBt2FiDaAluCrHJw0i7mDm6OlwtiRleAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T06:30:50.204582Z","bundle_sha256":"53462bec8c1866a6cc08ac4c1b7a008fd059ebbef84d5f1acb2ff4910a2efe59"}}