{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:SF6ESY6WIW3J7ZW3DXFIGLP55Y","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":"1120ff64cae12038e84fa7aa1f50f86d880bf2ce6a10b69a8181195d53b4aa8b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T18:00:00Z","title_canon_sha256":"d485a70cbe7875dcb80e47f114404d2296ae3c9a77eade39613d03403ad07657"},"schema_version":"1.0","source":{"id":"2206.04061","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.04061","created_at":"2026-07-05T06:01:57Z"},{"alias_kind":"arxiv_version","alias_value":"2206.04061v3","created_at":"2026-07-05T06:01:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.04061","created_at":"2026-07-05T06:01:57Z"},{"alias_kind":"pith_short_12","alias_value":"SF6ESY6WIW3J","created_at":"2026-07-05T06:01:57Z"},{"alias_kind":"pith_short_16","alias_value":"SF6ESY6WIW3J7ZW3","created_at":"2026-07-05T06:01:57Z"},{"alias_kind":"pith_short_8","alias_value":"SF6ESY6W","created_at":"2026-07-05T06:01:57Z"}],"graph_snapshots":[{"event_id":"sha256:693d4c6dcfe798140efc17fe0440aa6d685e4d07f1366190e6f4c1e507e28649","target":"graph","created_at":"2026-07-05T06:01:57Z","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/2206.04061/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the construction of the two-flavour axion-pion effective Lagrangian at the next-to-leading order (NLO) in chiral perturbation theory and present, as a phenomenological application, the calculation of the decay rate of a GeV-scale axion-like particle via the channel $a \\to \\pi\\pi\\pi$. Through the NLO calculation, we assess the range of validity of the effective field theory and show that the chiral expansion breaks down just above the kinematic threshold. Alternative non-perturbative approaches are called for in order to extend the chiral description of axion-pion interactions.","authors_text":"Gioacchino Piazza, Luca Di Luzio","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T18:00:00Z","title":"$a \\to \\pi \\pi \\pi$ decay at next-to-leading order in chiral perturbation theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.04061","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":"sha256:6c685558df477d06351ededc60192240603c5e7b1d5a8e53d1ff8cf93ebab02f","target":"record","created_at":"2026-07-05T06:01:57Z","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":"1120ff64cae12038e84fa7aa1f50f86d880bf2ce6a10b69a8181195d53b4aa8b","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2022-06-08T18:00:00Z","title_canon_sha256":"d485a70cbe7875dcb80e47f114404d2296ae3c9a77eade39613d03403ad07657"},"schema_version":"1.0","source":{"id":"2206.04061","kind":"arxiv","version":3}},"canonical_sha256":"917c4963d645b69fe6db1dca832dfdee153655c422264aa098e78a9202329b94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"917c4963d645b69fe6db1dca832dfdee153655c422264aa098e78a9202329b94","first_computed_at":"2026-07-05T06:01:57.339310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:01:57.339310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xUzmb4xV6nZtPSPukAq6c479s0OSTXkmmPV1Vwe4c8izyuoZFE/fuUMCJzo3CFR4RFQk4yPIiRyFAyB81C6ADg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:01:57.339794Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.04061","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c685558df477d06351ededc60192240603c5e7b1d5a8e53d1ff8cf93ebab02f","sha256:693d4c6dcfe798140efc17fe0440aa6d685e4d07f1366190e6f4c1e507e28649"],"state_sha256":"80a3c49786740691a22c62aea08c98d695f1b35057d64f052af79d2e71daf7f4"}