{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:T5WB3YO36LP5Z7XXSBUGQMEVQR","short_pith_number":"pith:T5WB3YO3","canonical_record":{"source":{"id":"1501.05937","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-01-23T20:51:10Z","cross_cats_sorted":[],"title_canon_sha256":"89e7e49f42f023dbb2625668967f8752c8176d20a785309eac56e770a2bda02e","abstract_canon_sha256":"79b6814225ab69d8e94f8e1a6fbce114bcb5720677a21944ba6f5b87f986ba4c"},"schema_version":"1.0"},"canonical_sha256":"9f6c1de1dbf2dfdcfef790686830958440d3863b4b4659da44a431683914809f","source":{"kind":"arxiv","id":"1501.05937","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05937","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05937v3","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05937","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"T5WB3YO36LP5","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T5WB3YO36LP5Z7XX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T5WB3YO3","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:T5WB3YO36LP5Z7XXSBUGQMEVQR","target":"record","payload":{"canonical_record":{"source":{"id":"1501.05937","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-01-23T20:51:10Z","cross_cats_sorted":[],"title_canon_sha256":"89e7e49f42f023dbb2625668967f8752c8176d20a785309eac56e770a2bda02e","abstract_canon_sha256":"79b6814225ab69d8e94f8e1a6fbce114bcb5720677a21944ba6f5b87f986ba4c"},"schema_version":"1.0"},"canonical_sha256":"9f6c1de1dbf2dfdcfef790686830958440d3863b4b4659da44a431683914809f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:15:58.872436Z","signature_b64":"lhTZJG+7WlIyP8lpIGpt4u97HAvXg1/TbejwA9aveHOSaw0gmYPdZnOCt9yZT7Pam+2hSChrSjRtyjND7sFHDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f6c1de1dbf2dfdcfef790686830958440d3863b4b4659da44a431683914809f","last_reissued_at":"2026-05-18T01:15:58.871794Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:15:58.871794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1501.05937","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b6+bw9oaLLodxLPKV+mSvAdsinRrs7+73pmTLzFzEY4g4hAebhxPbZHqkOeehNKxTfdDmsK7DpeSsquZq6KfCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:35:04.411522Z"},"content_sha256":"f5432b18178999a6abc14268631f1f1dd7e91f7d17b75ab7886cf17516f32b90","schema_version":"1.0","event_id":"sha256:f5432b18178999a6abc14268631f1f1dd7e91f7d17b75ab7886cf17516f32b90"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:T5WB3YO36LP5Z7XXSBUGQMEVQR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A predictive $331$ model with $A_{4}$ flavour symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. E. C\\'arcamo Hern\\'andez, R. Martinez","submitted_at":"2015-01-23T20:51:10Z","abstract_excerpt":"We propose a predictive model based on the $SU(3)_{C}\\otimes SU(3)_{L}\\otimes U(1)_{X}$ gauge group supplemented by the $A_{4}\\otimes Z_{3}\\otimes Z_{4}\\otimes Z_{6}\\otimes Z_{16}$ discrete group, which successfully describes the SM fermion mass and mixing pattern. The small active neutrino masses are generated via inverse seesaw mechanism with three very light Majorana neutrinos. The observed charged fermion mass hierarchy and quark mixing pattern are originated from the breaking of the $Z_{4}\\otimes Z_{6}\\otimes Z_{16}$ discrete group at very high scale. The obtained values for the physical "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05937","kind":"arxiv","version":3},"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":"2026-05-18T01:15:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMk2xzA7TqmkocHlgUd2m/JSGtKRB/lwnmVmsz8nPs0jAXLVUVw5JeGkXwb1FiCnYJQUI6P4PlKk9f3Cp0m0AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:35:04.411871Z"},"content_sha256":"b7c6e551ab93ca1e9a1b91def35063151647607fccd832b71e73071f0bdd3bc5","schema_version":"1.0","event_id":"sha256:b7c6e551ab93ca1e9a1b91def35063151647607fccd832b71e73071f0bdd3bc5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/bundle.json","state_url":"https://pith.science/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/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":"2026-05-30T05:35:04Z","links":{"resolver":"https://pith.science/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR","bundle":"https://pith.science/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/bundle.json","state":"https://pith.science/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T5WB3YO36LP5Z7XXSBUGQMEVQR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:T5WB3YO36LP5Z7XXSBUGQMEVQR","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":"79b6814225ab69d8e94f8e1a6fbce114bcb5720677a21944ba6f5b87f986ba4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-01-23T20:51:10Z","title_canon_sha256":"89e7e49f42f023dbb2625668967f8752c8176d20a785309eac56e770a2bda02e"},"schema_version":"1.0","source":{"id":"1501.05937","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.05937","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"arxiv_version","alias_value":"1501.05937v3","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.05937","created_at":"2026-05-18T01:15:58Z"},{"alias_kind":"pith_short_12","alias_value":"T5WB3YO36LP5","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"T5WB3YO36LP5Z7XX","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"T5WB3YO3","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:b7c6e551ab93ca1e9a1b91def35063151647607fccd832b71e73071f0bdd3bc5","target":"graph","created_at":"2026-05-18T01:15:58Z","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":"We propose a predictive model based on the $SU(3)_{C}\\otimes SU(3)_{L}\\otimes U(1)_{X}$ gauge group supplemented by the $A_{4}\\otimes Z_{3}\\otimes Z_{4}\\otimes Z_{6}\\otimes Z_{16}$ discrete group, which successfully describes the SM fermion mass and mixing pattern. The small active neutrino masses are generated via inverse seesaw mechanism with three very light Majorana neutrinos. The observed charged fermion mass hierarchy and quark mixing pattern are originated from the breaking of the $Z_{4}\\otimes Z_{6}\\otimes Z_{16}$ discrete group at very high scale. The obtained values for the physical ","authors_text":"A. E. C\\'arcamo Hern\\'andez, R. Martinez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-01-23T20:51:10Z","title":"A predictive $331$ model with $A_{4}$ flavour symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.05937","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:f5432b18178999a6abc14268631f1f1dd7e91f7d17b75ab7886cf17516f32b90","target":"record","created_at":"2026-05-18T01:15:58Z","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":"79b6814225ab69d8e94f8e1a6fbce114bcb5720677a21944ba6f5b87f986ba4c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-01-23T20:51:10Z","title_canon_sha256":"89e7e49f42f023dbb2625668967f8752c8176d20a785309eac56e770a2bda02e"},"schema_version":"1.0","source":{"id":"1501.05937","kind":"arxiv","version":3}},"canonical_sha256":"9f6c1de1dbf2dfdcfef790686830958440d3863b4b4659da44a431683914809f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9f6c1de1dbf2dfdcfef790686830958440d3863b4b4659da44a431683914809f","first_computed_at":"2026-05-18T01:15:58.871794Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:58.871794Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lhTZJG+7WlIyP8lpIGpt4u97HAvXg1/TbejwA9aveHOSaw0gmYPdZnOCt9yZT7Pam+2hSChrSjRtyjND7sFHDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:58.872436Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.05937","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5432b18178999a6abc14268631f1f1dd7e91f7d17b75ab7886cf17516f32b90","sha256:b7c6e551ab93ca1e9a1b91def35063151647607fccd832b71e73071f0bdd3bc5"],"state_sha256":"2ae3e89876facf94c60c5ba35b613eb5441652428b127cf8e24840ce8b5d68fa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WMc4UqekgddhjSWJpkD1CBdkLP2qc7gOB32hcGAzQQvIACIHIiQdZ4ZTlx6b/naf3ZQ1xZYiCQXegSoQTdfODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:35:04.414032Z","bundle_sha256":"9575613c39ee62e51f592fa9fad338306c415349cf7e427d02edfb606131a4fc"}}