{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:AFCFFY4MD5G4BD6TTRUXTBFSOS","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":"5672e15befa6d1ebbfd396cf5c8143b66563e6e627b1691c6ed24364014e17a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-06T17:03:02Z","title_canon_sha256":"8f6a5fd7287c534407222caded5b15a24d57ce31124e616aa9b9c954c1ba1926"},"schema_version":"1.0","source":{"id":"2404.06520","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.06520","created_at":"2026-07-05T08:06:13Z"},{"alias_kind":"arxiv_version","alias_value":"2404.06520v1","created_at":"2026-07-05T08:06:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.06520","created_at":"2026-07-05T08:06:13Z"},{"alias_kind":"pith_short_12","alias_value":"AFCFFY4MD5G4","created_at":"2026-07-05T08:06:13Z"},{"alias_kind":"pith_short_16","alias_value":"AFCFFY4MD5G4BD6T","created_at":"2026-07-05T08:06:13Z"},{"alias_kind":"pith_short_8","alias_value":"AFCFFY4M","created_at":"2026-07-05T08:06:13Z"}],"graph_snapshots":[{"event_id":"sha256:e9cf664be110e9d4c3eb449a74d24ac80adb0a7ca551099a5ff7c5239aa39dc6","target":"graph","created_at":"2026-07-05T08:06:13Z","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/2404.06520/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The flavor structure of quarks and leptons and quark-lepton unification are studied in the framework of Pati-Salam models with $A_4$ modular symmetry. The three generations of the left-handed and right-handed fermions are assigned to be triplet or singlets of $A_4$. The light neutrino masses are generated through the type-I seesaw mechanism. We perform a systematic classification of Pati-Salam models according to the transformations of matter fields under the $A_4$ modular symmetry, and the general form of the fermion mass matrix is given. We present four phenomenologically viable benchmark mo","authors_text":"Bu-Yao Qu, Gui-Jun Ding, Jun-Nan Lu, Si-Yi Jiang, Stephen F. King","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-06T17:03:02Z","title":"Pati-Salam models with $A_4$ modular symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.06520","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":"sha256:43762940d0c42dc6bba387c8f6e18476bddfbf527c6abf593a6868c07f157c6d","target":"record","created_at":"2026-07-05T08:06:13Z","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":"5672e15befa6d1ebbfd396cf5c8143b66563e6e627b1691c6ed24364014e17a5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2024-04-06T17:03:02Z","title_canon_sha256":"8f6a5fd7287c534407222caded5b15a24d57ce31124e616aa9b9c954c1ba1926"},"schema_version":"1.0","source":{"id":"2404.06520","kind":"arxiv","version":1}},"canonical_sha256":"014452e38c1f4dc08fd39c697984b274bfbfb9e3ca8b8f37dd87fd6d2bd4c24d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"014452e38c1f4dc08fd39c697984b274bfbfb9e3ca8b8f37dd87fd6d2bd4c24d","first_computed_at":"2026-07-05T08:06:13.323708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:06:13.323708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eh9C98cHkxRbiOL1OzcgDx5diBek0zCH0OYSDp+kZbsHWXE4PENznFIvog/94la4XS0bLNzLmULhWlfQqFbvCg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:06:13.324641Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.06520","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:43762940d0c42dc6bba387c8f6e18476bddfbf527c6abf593a6868c07f157c6d","sha256:e9cf664be110e9d4c3eb449a74d24ac80adb0a7ca551099a5ff7c5239aa39dc6"],"state_sha256":"b1df4a6342afeac74033bc6ec58d3588bdce78433e3b63fbd73d5d358fdd7198"}