{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:UDPBLSHXM2HAQO6PJRWHLRIWBG","short_pith_number":"pith:UDPBLSHX","canonical_record":{"source":{"id":"hep-ph/9702362","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-02-18T19:12:25Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c7f55e7b818949f0bc681fafb75e6eb0bd0604c09fa204a2360625bdcad93d9e","abstract_canon_sha256":"82f4c9a6cdeb6a96a9db0b6ec8c6349653c535f4b854d591eaf3bcdd7ed1b3b1"},"schema_version":"1.0"},"canonical_sha256":"a0de15c8f7668e083bcf4c6c75c51609b5df11888a6854ebe1ace69ffb83d35d","source":{"kind":"arxiv","id":"hep-ph/9702362","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9702362","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9702362v2","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9702362","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"UDPBLSHXM2HA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"UDPBLSHXM2HAQO6P","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"UDPBLSHX","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:UDPBLSHXM2HAQO6PJRWHLRIWBG","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9702362","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-02-18T19:12:25Z","cross_cats_sorted":["nucl-th"],"title_canon_sha256":"c7f55e7b818949f0bc681fafb75e6eb0bd0604c09fa204a2360625bdcad93d9e","abstract_canon_sha256":"82f4c9a6cdeb6a96a9db0b6ec8c6349653c535f4b854d591eaf3bcdd7ed1b3b1"},"schema_version":"1.0"},"canonical_sha256":"a0de15c8f7668e083bcf4c6c75c51609b5df11888a6854ebe1ace69ffb83d35d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:05.263846Z","signature_b64":"Q0v5xKM5frzDeoX9V0fevFJyOeIg+On2PJKhNwxA0YZDOg6/Rc2QnyHnTi+0qitEP1LJJDdzvB7ucd9qHEzNBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0de15c8f7668e083bcf4c6c75c51609b5df11888a6854ebe1ace69ffb83d35d","last_reissued_at":"2026-05-18T02:37:05.263373Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:05.263373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9702362","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":"2026-05-18T02:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"65u3Aqitl1okbwcfa13YC8X8+N4VhsY60UvkyJRB6CaNEsWCFnJ0v/VEAdsMl5y93xUYSNbA7E4twhKs6vwZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:06:35.019018Z"},"content_sha256":"25a48ca08e1e73f0db0ca90df92f372b381a115505ae934b8dc7920ae25fe583","schema_version":"1.0","event_id":"sha256:25a48ca08e1e73f0db0ca90df92f372b381a115505ae934b8dc7920ae25fe583"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:UDPBLSHXM2HAQO6PJRWHLRIWBG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How pi0 -> gamma gamma changes with temperature","license":"","headline":"","cross_cats":["nucl-th"],"primary_cat":"hep-ph","authors_text":"Michel H.G. Tytgat, Robert D. Pisarski, T.L. Trueman","submitted_at":"1997-02-18T19:12:25Z","abstract_excerpt":"At zero temperature, in the chiral limit the amplitude for pi0 to decay into two photons is directly related to the coefficient of the axial anomaly. At any nonzero temperature, this direct relationship is lost: while the coefficient of the axial anomaly is independent of temperature, in a thermal bath the anomalous Ward identities do not uniquely constrain the amplitude for pi0 -> gamma gamma. Explicit calculation shows that to lowest order about zero temperature, this amplitude decreases."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9702362","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":""},"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":"2026-05-18T02:37:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cOM1c7zdV7ic+MDYseAxLt4xoX+euuBUln9nYhf8+24trcbvwDDDCRLvzdeoXGiSFk+ygcZCQYUxyfu3w768CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T15:06:35.019707Z"},"content_sha256":"ebd2b82adf76510dcb44e11741d10425815ee94f2f7db4b8f4834329528b570a","schema_version":"1.0","event_id":"sha256:ebd2b82adf76510dcb44e11741d10425815ee94f2f7db4b8f4834329528b570a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/bundle.json","state_url":"https://pith.science/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/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":"2026-05-29T15:06:35Z","links":{"resolver":"https://pith.science/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG","bundle":"https://pith.science/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/bundle.json","state":"https://pith.science/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDPBLSHXM2HAQO6PJRWHLRIWBG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:UDPBLSHXM2HAQO6PJRWHLRIWBG","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":"82f4c9a6cdeb6a96a9db0b6ec8c6349653c535f4b854d591eaf3bcdd7ed1b3b1","cross_cats_sorted":["nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1997-02-18T19:12:25Z","title_canon_sha256":"c7f55e7b818949f0bc681fafb75e6eb0bd0604c09fa204a2360625bdcad93d9e"},"schema_version":"1.0","source":{"id":"hep-ph/9702362","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9702362","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9702362v2","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9702362","created_at":"2026-05-18T02:37:05Z"},{"alias_kind":"pith_short_12","alias_value":"UDPBLSHXM2HA","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"UDPBLSHXM2HAQO6P","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"UDPBLSHX","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:ebd2b82adf76510dcb44e11741d10425815ee94f2f7db4b8f4834329528b570a","target":"graph","created_at":"2026-05-18T02:37:05Z","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"},"paper":{"abstract_excerpt":"At zero temperature, in the chiral limit the amplitude for pi0 to decay into two photons is directly related to the coefficient of the axial anomaly. At any nonzero temperature, this direct relationship is lost: while the coefficient of the axial anomaly is independent of temperature, in a thermal bath the anomalous Ward identities do not uniquely constrain the amplitude for pi0 -> gamma gamma. Explicit calculation shows that to lowest order about zero temperature, this amplitude decreases.","authors_text":"Michel H.G. Tytgat, Robert D. Pisarski, T.L. Trueman","cross_cats":["nucl-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1997-02-18T19:12:25Z","title":"How pi0 -> gamma gamma changes with temperature"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9702362","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":"sha256:25a48ca08e1e73f0db0ca90df92f372b381a115505ae934b8dc7920ae25fe583","target":"record","created_at":"2026-05-18T02:37:05Z","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":"82f4c9a6cdeb6a96a9db0b6ec8c6349653c535f4b854d591eaf3bcdd7ed1b3b1","cross_cats_sorted":["nucl-th"],"license":"","primary_cat":"hep-ph","submitted_at":"1997-02-18T19:12:25Z","title_canon_sha256":"c7f55e7b818949f0bc681fafb75e6eb0bd0604c09fa204a2360625bdcad93d9e"},"schema_version":"1.0","source":{"id":"hep-ph/9702362","kind":"arxiv","version":2}},"canonical_sha256":"a0de15c8f7668e083bcf4c6c75c51609b5df11888a6854ebe1ace69ffb83d35d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0de15c8f7668e083bcf4c6c75c51609b5df11888a6854ebe1ace69ffb83d35d","first_computed_at":"2026-05-18T02:37:05.263373Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:37:05.263373Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q0v5xKM5frzDeoX9V0fevFJyOeIg+On2PJKhNwxA0YZDOg6/Rc2QnyHnTi+0qitEP1LJJDdzvB7ucd9qHEzNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:37:05.263846Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9702362","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:25a48ca08e1e73f0db0ca90df92f372b381a115505ae934b8dc7920ae25fe583","sha256:ebd2b82adf76510dcb44e11741d10425815ee94f2f7db4b8f4834329528b570a"],"state_sha256":"5431593e0f0ecd20318a82535ee141eccf32b18ed4a887ab8beaf77f788888a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCCeayKMZFxaGrWbvmIvitH1D/Fzg7WEsVv48tEvMyBU7DlnvYByq7IvTJ0Om7YQBSB3f0NvUT4DC2EL9ujZAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T15:06:35.023534Z","bundle_sha256":"0463a4136aee4c239bddd469649f555031048fd3ad6cf9b59d7f23d4c68b40c8"}}