{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:BP2XF74MUDDD6NCEN5X4TWRS6I","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":"cffa0d982cc65579244c6b12aabb88d48808e1c350f93c8149c156a67c3fda4c","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-21T07:08:49Z","title_canon_sha256":"1f34050d817ca290de22b4a286aa18baf66a32228868e5f12e599081d6f3c611"},"schema_version":"1.0","source":{"id":"2106.10890","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2106.10890","created_at":"2026-07-05T05:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"2106.10890v3","created_at":"2026-07-05T05:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2106.10890","created_at":"2026-07-05T05:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"BP2XF74MUDDD","created_at":"2026-07-05T05:07:33Z"},{"alias_kind":"pith_short_16","alias_value":"BP2XF74MUDDD6NCE","created_at":"2026-07-05T05:07:33Z"},{"alias_kind":"pith_short_8","alias_value":"BP2XF74M","created_at":"2026-07-05T05:07:33Z"}],"graph_snapshots":[{"event_id":"sha256:a18ed3909a0b7e3b890abfb6b410d3f8284699dbc7f7f6d68cf8e2e99e2eb38f","target":"graph","created_at":"2026-07-05T05:07:33Z","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/2106.10890/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We compute the leading terms of the spectral action for a noncommutative geometry model that has no fermion doubling. The spectral triple describing it, which is chiral and allows for CP-symmetry breaking, has the Dirac operator that is not of the product type. Using Wick rotation we derive explicitly the Lagrangian of the model from the spectral action for a flat metric, demonstrating the appearance of the topological $\\theta$-terms for the electroweak gauge fields.","authors_text":"Andrzej Sitarz, Arkadiusz Bochniak, Pawe{\\l} Zalecki","cross_cats":["math-ph","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-21T07:08:49Z","title":"Spectral action and the electroweak $\\theta$-terms for the Standard Model without fermion doubling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2106.10890","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":"sha256:52c61f040e0622b871ca0c59ba2d72318ab955e66f3bad1c4e3d28ef4acde0e3","target":"record","created_at":"2026-07-05T05:07:33Z","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":"cffa0d982cc65579244c6b12aabb88d48808e1c350f93c8149c156a67c3fda4c","cross_cats_sorted":["math-ph","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2021-06-21T07:08:49Z","title_canon_sha256":"1f34050d817ca290de22b4a286aa18baf66a32228868e5f12e599081d6f3c611"},"schema_version":"1.0","source":{"id":"2106.10890","kind":"arxiv","version":3}},"canonical_sha256":"0bf572ff8ca0c63f34446f6fc9da32f20b3035aed72111f5afd0b45078258762","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bf572ff8ca0c63f34446f6fc9da32f20b3035aed72111f5afd0b45078258762","first_computed_at":"2026-07-05T05:07:33.687288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:07:33.687288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Vjn001e0mKNQ7mcVOEsYzaN7rXH130LK8NqPLGQ4J3FlhGBEyoHq7Yfecbf9sc9cirUHiApGUROLX72GpJkBBg==","signature_status":"signed_v1","signed_at":"2026-07-05T05:07:33.687750Z","signed_message":"canonical_sha256_bytes"},"source_id":"2106.10890","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:52c61f040e0622b871ca0c59ba2d72318ab955e66f3bad1c4e3d28ef4acde0e3","sha256:a18ed3909a0b7e3b890abfb6b410d3f8284699dbc7f7f6d68cf8e2e99e2eb38f"],"state_sha256":"bee809be8952efbc2f218ce7a6f1b9dcf97d680acd49d5b0bbec4a3f232dcd1d"}