{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:NRZWKKKAJP6BTVHTGCOSIN2LWD","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":"e766a8cadbe7a79b8a1b55d46d07aec0784e1bad09e0fd9feecd86dcc1f00a1f","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-09T02:06:11Z","title_canon_sha256":"4f3173f1427941a766787e497b89aca7f00d363369f3905499e983e2608082e3"},"schema_version":"1.0","source":{"id":"0909.1606","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0909.1606","created_at":"2026-07-04T17:26:57Z"},{"alias_kind":"arxiv_version","alias_value":"0909.1606v3","created_at":"2026-07-04T17:26:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0909.1606","created_at":"2026-07-04T17:26:57Z"},{"alias_kind":"pith_short_12","alias_value":"NRZWKKKAJP6B","created_at":"2026-07-04T17:26:57Z"},{"alias_kind":"pith_short_16","alias_value":"NRZWKKKAJP6BTVHT","created_at":"2026-07-04T17:26:57Z"},{"alias_kind":"pith_short_8","alias_value":"NRZWKKKA","created_at":"2026-07-04T17:26:57Z"}],"graph_snapshots":[{"event_id":"sha256:0b5884d5dbd636d9a6965839a01815987be50157640b05de3797a01859bad7b1","target":"graph","created_at":"2026-07-04T17:26:57Z","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/0909.1606/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The master formula approach to chiral symmetry breaking proposed by Yamagishi and Zahed is extended to the U_R(3)xU_L(3) group, in which effects of the U_A(1) anomaly and the flavor symmetry breaking m_u \\not= m_d \\not= m_s are properly contained. New identities for the gluon topological susceptibility and pi^0, eta, eta' -> gamma^(*) gamma^(*) decays are derived, which exactly embody the consequence from broken chiral symmetry in QCD without relying on any unphysical limit.","authors_text":"Hiroyuki Kamano","cross_cats":["nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-09T02:06:11Z","title":"Master formula approach to broken chiral U(3)xU(3) symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0909.1606","kind":"arxiv","version":3},"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":"sha256:0110f8634084d76966b1c275f9b9d207f8338d43cf2ee1549efd5543b081a93b","target":"record","created_at":"2026-07-04T17:26:57Z","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":"e766a8cadbe7a79b8a1b55d46d07aec0784e1bad09e0fd9feecd86dcc1f00a1f","cross_cats_sorted":["nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-09-09T02:06:11Z","title_canon_sha256":"4f3173f1427941a766787e497b89aca7f00d363369f3905499e983e2608082e3"},"schema_version":"1.0","source":{"id":"0909.1606","kind":"arxiv","version":3}},"canonical_sha256":"6c736529404bfc19d4f3309d24374bb0eb635cec46be7b94ece9a224318d33b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c736529404bfc19d4f3309d24374bb0eb635cec46be7b94ece9a224318d33b5","first_computed_at":"2026-07-04T17:26:57.008711Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:26:57.008711Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0oRIhj+kv1ed9leKCNGrvSTFAOj+VOCIJBBRhVSZDAFCdMG7P8iAD4c0EWrX21lcLKTIoW/M0xf0BrF6g2HEBg==","signature_status":"signed_v1","signed_at":"2026-07-04T17:26:57.009060Z","signed_message":"canonical_sha256_bytes"},"source_id":"0909.1606","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0110f8634084d76966b1c275f9b9d207f8338d43cf2ee1549efd5543b081a93b","sha256:0b5884d5dbd636d9a6965839a01815987be50157640b05de3797a01859bad7b1"],"state_sha256":"a8bdbf792a889390d2937286e5a07bf57387ac82eb320b99eef2e4a955f978e6"}