{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:CIGHB6DNP3Y4TOE6327JMVVP73","short_pith_number":"pith:CIGHB6DN","canonical_record":{"source":{"id":"1905.05722","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-14T17:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"b0c6e2994682f32d8d1e51fc1265ff2db973dca535a377470c1298b4dca71c2b","abstract_canon_sha256":"39a196b6d44761e96dada6011783999d3567088abf07fd7d770b352460a4a803"},"schema_version":"1.0"},"canonical_sha256":"120c70f86d7ef1c9b89edebe9656affeee482dcaa80a78aabb56b2ff5189b87d","source":{"kind":"arxiv","id":"1905.05722","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.05722","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.05722v2","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.05722","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"CIGHB6DNP3Y4","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_16","alias_value":"CIGHB6DNP3Y4TOE6","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_8","alias_value":"CIGHB6DN","created_at":"2026-07-05T00:01:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:CIGHB6DNP3Y4TOE6327JMVVP73","target":"record","payload":{"canonical_record":{"source":{"id":"1905.05722","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-14T17:07:26Z","cross_cats_sorted":[],"title_canon_sha256":"b0c6e2994682f32d8d1e51fc1265ff2db973dca535a377470c1298b4dca71c2b","abstract_canon_sha256":"39a196b6d44761e96dada6011783999d3567088abf07fd7d770b352460a4a803"},"schema_version":"1.0"},"canonical_sha256":"120c70f86d7ef1c9b89edebe9656affeee482dcaa80a78aabb56b2ff5189b87d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:01:52.086638Z","signature_b64":"V/ji9bV8EQvGBxRW0TypQunM9ehm7Jvc9gleBucd0bJ/W5hlgqQnRa0LqZ7NsTV3J+quA/+Bkc1+HZFEVCYPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"120c70f86d7ef1c9b89edebe9656affeee482dcaa80a78aabb56b2ff5189b87d","last_reissued_at":"2026-07-05T00:01:52.086153Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:01:52.086153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.05722","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":"2026-07-05T00:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fDvRzFCIl3CXkHuL1Fk5KpzugVZmWUj3NZvdgliFbdFeHyFDzmPgWCkHIbXETJXzvWh3Xf6SWQF8bIyYgNCYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:45:44.970099Z"},"content_sha256":"f3b2e4e0eb0b1eaab80adb82d7ea11bfb544f2d0c130a79ccd6cda4efbe3c190","schema_version":"1.0","event_id":"sha256:f3b2e4e0eb0b1eaab80adb82d7ea11bfb544f2d0c130a79ccd6cda4efbe3c190"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:CIGHB6DNP3Y4TOE6327JMVVP73","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"'t Hooft anomalies and the holomorphy of supersymmetric partition functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cyril Closset, Heeyeon Kim, Lorenzo Di Pietro","submitted_at":"2019-05-14T17:07:26Z","abstract_excerpt":"We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, $G_F$, for 2d $\\mathcal{N} = (0,2)$ and 4d $\\mathcal{N}=1$ supersymmetric quantum field theories. In any diffeomorphism-invariant scheme and in the presence of $G_F$ 't Hooft anomalies, the supersymmetric Ward identities imply that the partition function has a non-holomorphic dependence on the flavor parameters. We show this explicitly for the 2d torus partition function, $Z_{T^2}$, and for a large class of 4d partition functions on half-BPS four-manifolds, $Z_{\\mathcal{M}_4}$-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.05722","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/1905.05722/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":"2026-07-05T00:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vfNnVtJInc9cOL9kjabkjBT3ibkU8c8G8unU745lCikDv1c36hadgHDu1k4ElJQ5lmlbef9qAXk0qAUp9Z6gCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-16T08:45:44.970624Z"},"content_sha256":"edd002aee7bc21ec5420c42119c55ad315b359c333f1ac59fc43ca1e5d86a655","schema_version":"1.0","event_id":"sha256:edd002aee7bc21ec5420c42119c55ad315b359c333f1ac59fc43ca1e5d86a655"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CIGHB6DNP3Y4TOE6327JMVVP73/bundle.json","state_url":"https://pith.science/pith/CIGHB6DNP3Y4TOE6327JMVVP73/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CIGHB6DNP3Y4TOE6327JMVVP73/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":"2026-08-16T08:45:44Z","links":{"resolver":"https://pith.science/pith/CIGHB6DNP3Y4TOE6327JMVVP73","bundle":"https://pith.science/pith/CIGHB6DNP3Y4TOE6327JMVVP73/bundle.json","state":"https://pith.science/pith/CIGHB6DNP3Y4TOE6327JMVVP73/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CIGHB6DNP3Y4TOE6327JMVVP73/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:CIGHB6DNP3Y4TOE6327JMVVP73","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":"39a196b6d44761e96dada6011783999d3567088abf07fd7d770b352460a4a803","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-14T17:07:26Z","title_canon_sha256":"b0c6e2994682f32d8d1e51fc1265ff2db973dca535a377470c1298b4dca71c2b"},"schema_version":"1.0","source":{"id":"1905.05722","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.05722","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1905.05722v2","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.05722","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"CIGHB6DNP3Y4","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_16","alias_value":"CIGHB6DNP3Y4TOE6","created_at":"2026-07-05T00:01:52Z"},{"alias_kind":"pith_short_8","alias_value":"CIGHB6DN","created_at":"2026-07-05T00:01:52Z"}],"graph_snapshots":[{"event_id":"sha256:edd002aee7bc21ec5420c42119c55ad315b359c333f1ac59fc43ca1e5d86a655","target":"graph","created_at":"2026-07-05T00:01:52Z","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/1905.05722/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the dependence of supersymmetric partition functions on continuous parameters for the flavor symmetry group, $G_F$, for 2d $\\mathcal{N} = (0,2)$ and 4d $\\mathcal{N}=1$ supersymmetric quantum field theories. In any diffeomorphism-invariant scheme and in the presence of $G_F$ 't Hooft anomalies, the supersymmetric Ward identities imply that the partition function has a non-holomorphic dependence on the flavor parameters. We show this explicitly for the 2d torus partition function, $Z_{T^2}$, and for a large class of 4d partition functions on half-BPS four-manifolds, $Z_{\\mathcal{M}_4}$-","authors_text":"Cyril Closset, Heeyeon Kim, Lorenzo Di Pietro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-14T17:07:26Z","title":"'t Hooft anomalies and the holomorphy of supersymmetric partition functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.05722","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:f3b2e4e0eb0b1eaab80adb82d7ea11bfb544f2d0c130a79ccd6cda4efbe3c190","target":"record","created_at":"2026-07-05T00:01:52Z","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":"39a196b6d44761e96dada6011783999d3567088abf07fd7d770b352460a4a803","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-05-14T17:07:26Z","title_canon_sha256":"b0c6e2994682f32d8d1e51fc1265ff2db973dca535a377470c1298b4dca71c2b"},"schema_version":"1.0","source":{"id":"1905.05722","kind":"arxiv","version":2}},"canonical_sha256":"120c70f86d7ef1c9b89edebe9656affeee482dcaa80a78aabb56b2ff5189b87d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"120c70f86d7ef1c9b89edebe9656affeee482dcaa80a78aabb56b2ff5189b87d","first_computed_at":"2026-07-05T00:01:52.086153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:01:52.086153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V/ji9bV8EQvGBxRW0TypQunM9ehm7Jvc9gleBucd0bJ/W5hlgqQnRa0LqZ7NsTV3J+quA/+Bkc1+HZFEVCYPBw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:01:52.086638Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.05722","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3b2e4e0eb0b1eaab80adb82d7ea11bfb544f2d0c130a79ccd6cda4efbe3c190","sha256:edd002aee7bc21ec5420c42119c55ad315b359c333f1ac59fc43ca1e5d86a655"],"state_sha256":"865449d1be92e7f64ddae48656259186567ef1ace9d4909830b4f853bf623f09"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IvlGkghbeQKxjg3A2CH7nDpCluXmo0uVampQ4D1aN71w380geJmaHtgflOxn1d/SqHEmbDvrDkE7VjbAxU7qBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-16T08:45:44.974162Z","bundle_sha256":"e6a957df154c2b6afa49ea7a7ae9583495cebeb531d1147869b8152dd55cce64"}}