{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:BDK44WRKQY3DXTZN2UZQNHJKGE","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":"b01757deda64ea91c31a2e34096fd4a628025e26ea07760d7e19092194f820a7","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-05T21:17:28Z","title_canon_sha256":"d405e54cc0e39e6ab98d314f4c784167c1b56cb5e7e226ad943bb59b5c72d97d"},"schema_version":"1.0","source":{"id":"hep-ph/0309058","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0309058","created_at":"2026-07-04T15:26:43Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0309058v1","created_at":"2026-07-04T15:26:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0309058","created_at":"2026-07-04T15:26:43Z"},{"alias_kind":"pith_short_12","alias_value":"BDK44WRKQY3D","created_at":"2026-07-04T15:26:43Z"},{"alias_kind":"pith_short_16","alias_value":"BDK44WRKQY3DXTZN","created_at":"2026-07-04T15:26:43Z"},{"alias_kind":"pith_short_8","alias_value":"BDK44WRK","created_at":"2026-07-04T15:26:43Z"}],"graph_snapshots":[{"event_id":"sha256:b5154a8f42a9ebb1e83293fbf1266f299dcff33f08cf309083fe73e3e9d84eeb","target":"graph","created_at":"2026-07-04T15:26:43Z","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/hep-ph/0309058/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We show that Peccei-Quinn and lepton number symmetries can be a natural outcome in a 3-3-1 model with right-handed neutrinos after imposing a Z_11 x Z_2 symmetry. This symmetry is suitably accommodated in this model when we augmented its spectrum by including merely one singlet scalar field. We work out the breaking of the Peccei-Quinn symmetry, yielding the axion, and study the phenomenological consequences. The main result of this work is that the solution to the strong CP problem can be implemented in a natural way, implying an invisible axion phenomenologically unconstrained, free of domai","authors_text":"Alex G. Dias, C. A. de S. Pires, P. S. Rodrigues da Silva","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2003-09-05T21:17:28Z","title":"Discrete symmetries, invisible axion and lepton number symmetry in an economic 3-3-1 model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0309058","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":"sha256:1f401d4241780ae79bba339cb7aa97b74f63a7d3be562066801b7a6d64b0b11f","target":"record","created_at":"2026-07-04T15:26:43Z","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":"b01757deda64ea91c31a2e34096fd4a628025e26ea07760d7e19092194f820a7","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2003-09-05T21:17:28Z","title_canon_sha256":"d405e54cc0e39e6ab98d314f4c784167c1b56cb5e7e226ad943bb59b5c72d97d"},"schema_version":"1.0","source":{"id":"hep-ph/0309058","kind":"arxiv","version":1}},"canonical_sha256":"08d5ce5a2a86363bcf2dd533069d2a311a3ba7d41a79412d74ba5aa1deb2a187","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08d5ce5a2a86363bcf2dd533069d2a311a3ba7d41a79412d74ba5aa1deb2a187","first_computed_at":"2026-07-04T15:26:43.695800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:26:43.695800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7CQ9wVv4+5VxeuecGTe7SKFVhiWeGxSyCErVfs0qekuuJnbtEyvbCZcepGfRaQxkGKrD1UxDuJzmwnICsJYUAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T15:26:43.696215Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0309058","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f401d4241780ae79bba339cb7aa97b74f63a7d3be562066801b7a6d64b0b11f","sha256:b5154a8f42a9ebb1e83293fbf1266f299dcff33f08cf309083fe73e3e9d84eeb"],"state_sha256":"d2b35cfc2892d92aec9cb9f60eb6a4b4579b4c27726281b1e43fec8aeae2d90d"}