{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ILHILK6NV576U47DXRLFHMSS7L","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":"9d5bf87aeef569a85ed9ab6a8ee5f776739d2b7bd7cf80b2924e7a2fafabe9b9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-29T19:14:52Z","title_canon_sha256":"ebdcd43a2eb1a387f660aa7aa239573e57b23d1b2f8e9c429812ce90609ced34"},"schema_version":"1.0","source":{"id":"2412.00210","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.00210","created_at":"2026-07-05T11:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2412.00210v2","created_at":"2026-07-05T11:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.00210","created_at":"2026-07-05T11:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"ILHILK6NV576","created_at":"2026-07-05T11:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"ILHILK6NV576U47D","created_at":"2026-07-05T11:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"ILHILK6N","created_at":"2026-07-05T11:08:13Z"}],"graph_snapshots":[{"event_id":"sha256:73581d05de79b1ef2f3d18f37eb43090fa70ba98d79b96c8e3c7ef8348b82865","target":"graph","created_at":"2026-07-05T11:08:13Z","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/2412.00210/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this work we establish every spherically symmetric non-Abelian Z(2) monopole generated by su(2) embeddings in the SU(4) Yang-Mills-Higgs model minimally broken to SO(4) by a symmetric second-rank tensor Higgs field. We find new monopole solutions associated with index 4 and index 10 embeddings. These solutions belong to su(2) multiplets that are higher dimensional than triplets. Properties of these monopoles such as their mass and radius are calculated in the vanishing potential limit. A parallel between this result and the Standard Model hierarchy of fermion masses is considered.","authors_text":"Eduardo E. Quadros, Paulo J. Liebgott","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-29T19:14:52Z","title":"Mass Hierarchy of Z(2) Monopoles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.00210","kind":"arxiv","version":2},"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":"sha256:4ce06d567123ddf8d46428c53996a15c185222e9dac456c70d17b04c2c212581","target":"record","created_at":"2026-07-05T11:08:13Z","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":"9d5bf87aeef569a85ed9ab6a8ee5f776739d2b7bd7cf80b2924e7a2fafabe9b9","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-11-29T19:14:52Z","title_canon_sha256":"ebdcd43a2eb1a387f660aa7aa239573e57b23d1b2f8e9c429812ce90609ced34"},"schema_version":"1.0","source":{"id":"2412.00210","kind":"arxiv","version":2}},"canonical_sha256":"42ce85abcdaf7fea73e3bc5653b252faeffbf38eda3fc265899ccc8771c19d51","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42ce85abcdaf7fea73e3bc5653b252faeffbf38eda3fc265899ccc8771c19d51","first_computed_at":"2026-07-05T11:08:13.856540Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:08:13.856540Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FyP+C110+T9ew1r3z1Zq/NYuybp/42jrAOXi2oT0IijPeUt0b/UwUYDBKnpJ8Lt2SCcQbQAL/wJ1f5bWtU1oBg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:08:13.856982Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.00210","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ce06d567123ddf8d46428c53996a15c185222e9dac456c70d17b04c2c212581","sha256:73581d05de79b1ef2f3d18f37eb43090fa70ba98d79b96c8e3c7ef8348b82865"],"state_sha256":"b65114d24b86dd0fa4298741369562579c2878267e1226cae4b3b5f5eed631ef"}