{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:MDGOZIJCBKTFQVR6XBU2FBE2ZV","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":"082f5bff3db525f4c44f0bc1e0b9502333b344d4213ab57e060769d96841ee67","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-02T16:47:46Z","title_canon_sha256":"6ff2d0a7dc2a22967ca1af1db8edd16334cf64c8e0d8c6d370e48addb39f989b"},"schema_version":"1.0","source":{"id":"2506.01858","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.01858","created_at":"2026-07-05T11:14:20Z"},{"alias_kind":"arxiv_version","alias_value":"2506.01858v1","created_at":"2026-07-05T11:14:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.01858","created_at":"2026-07-05T11:14:20Z"},{"alias_kind":"pith_short_12","alias_value":"MDGOZIJCBKTF","created_at":"2026-07-05T11:14:20Z"},{"alias_kind":"pith_short_16","alias_value":"MDGOZIJCBKTFQVR6","created_at":"2026-07-05T11:14:20Z"},{"alias_kind":"pith_short_8","alias_value":"MDGOZIJC","created_at":"2026-07-05T11:14:20Z"}],"graph_snapshots":[{"event_id":"sha256:a029b9a9d0a99c2d21bddb766c41611f75b32f1f38db2218833fa8ede85055b8","target":"graph","created_at":"2026-07-05T11:14:20Z","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/2506.01858/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We continue the analysis of the gauge-invariant decomposition of amplitudes in spontaneously broken massive gauge theories by providing a characterization of separately gauge-invariant subsectors for amplitudes involving trilinear interaction vertices for an Abelian theory with chiral fermions. We show that the use of Frohlich-Morchio-Strocchi gauge-invariant dynamical (i.e. propagating inside loops) fields yields a very powerful handle on the cancellations among unphysical degrees of freedom (the longitudinal mode of the massive gauge field, the Goldstone scalar and the ghosts). The resulting","authors_text":"Andrea Quadri","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-02T16:47:46Z","title":"Gauge-invariant Slavnov-Taylor Decomposition for Trilinear Vertices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.01858","kind":"arxiv","version":1},"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":"sha256:2a796da23a64e3ffa1bfe03c6c69c50e4bea65a74d3c76ed56c184c60146ef12","target":"record","created_at":"2026-07-05T11:14:20Z","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":"082f5bff3db525f4c44f0bc1e0b9502333b344d4213ab57e060769d96841ee67","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-06-02T16:47:46Z","title_canon_sha256":"6ff2d0a7dc2a22967ca1af1db8edd16334cf64c8e0d8c6d370e48addb39f989b"},"schema_version":"1.0","source":{"id":"2506.01858","kind":"arxiv","version":1}},"canonical_sha256":"60cceca1220aa658563eb869a2849acd710655cf6c2933c8dfca4776dd221057","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60cceca1220aa658563eb869a2849acd710655cf6c2933c8dfca4776dd221057","first_computed_at":"2026-07-05T11:14:20.475228Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:14:20.475228Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"p2hIV4+5d1IcNnoLl1NDD9XbOhuCBcSWz5+JMNJZof/JK+t0hx+j7LPUfK6Y1QRc/KeK4lmLGHrC52ELCdrSAg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:14:20.475704Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.01858","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2a796da23a64e3ffa1bfe03c6c69c50e4bea65a74d3c76ed56c184c60146ef12","sha256:a029b9a9d0a99c2d21bddb766c41611f75b32f1f38db2218833fa8ede85055b8"],"state_sha256":"69ce1de85dbdd3170fa0176ed60f5f967cb955539e17d6c9524f0b1ba2f223e8"}