{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:G2GAUKTPTDB4PR3S7XN4KDCXXY","short_pith_number":"pith:G2GAUKTP","schema_version":"1.0","canonical_sha256":"368c0a2a6f98c3c7c772fddbc50c57be23b2f17b26849415d81b7af5920eb599","source":{"kind":"arxiv","id":"1111.0402","version":3},"attestation_state":"computed","paper":{"title":"Revisiting symmetries of lattice fermions via spin-flavor representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Shingo Torii, Shota Komatsu, Sinya Aoki, Taro Kimura, Tatsuhiro Misumi, Toshifumi Noumi","submitted_at":"2011-11-02T06:32:01Z","abstract_excerpt":"Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the $U(4)\\timesU(4)A$ symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spin-flavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. W"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1111.0402","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2011-11-02T06:32:01Z","cross_cats_sorted":[],"title_canon_sha256":"88b1a8212d1e4e451268d64f8056f4f2e64657b4524ab4b432655f92c16bb3f5","abstract_canon_sha256":"0213ba1d1ff2ccaaaa5cd7c579004ce03d11dab43a8293d65ebb55f6ca9bb3e4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:33.070158Z","signature_b64":"9gt7bqomQYrhbC4vUouFrRn3tczmDiNLXifI+3iAQ+6HuVfoCnWcxwdeby4rpczxVqgXgY9W8/pVhzCj+mTtDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"368c0a2a6f98c3c7c772fddbc50c57be23b2f17b26849415d81b7af5920eb599","last_reissued_at":"2026-05-18T04:04:33.069366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:33.069366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Revisiting symmetries of lattice fermions via spin-flavor representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Shingo Torii, Shota Komatsu, Sinya Aoki, Taro Kimura, Tatsuhiro Misumi, Toshifumi Noumi","submitted_at":"2011-11-02T06:32:01Z","abstract_excerpt":"Employing the spin-flavor representation, we investigate the structures of the doubler-mixing symmetries and the mechanisms of their spontaneous breakdown in four types of lattice fermion formulation. We first revisit the $U(4)\\timesU(4)A$ symmetries of the naive fermion with the vanishing bare mass m, and re-express them in terms of the spin-flavor representation. We apply the same method to the Wilson fermion, which possesses only the U(1) vector symmetry for general values of m. For a special value of m, however, there emerges an additional U(1) symmetry to be broken by pion condensation. W"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0402","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1111.0402","created_at":"2026-05-18T04:04:33.069506+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.0402v3","created_at":"2026-05-18T04:04:33.069506+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.0402","created_at":"2026-05-18T04:04:33.069506+00:00"},{"alias_kind":"pith_short_12","alias_value":"G2GAUKTPTDB4","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"G2GAUKTPTDB4PR3S","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"G2GAUKTP","created_at":"2026-05-18T12:26:28.662955+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2512.22609","citing_title":"Minimal-doubling and single-Weyl Hamiltonians","ref_index":44,"is_internal_anchor":true},{"citing_arxiv_id":"2604.02078","citing_title":"Taste-splitting mass and edge modes in $3+1$ D staggered fermions","ref_index":70,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY","json":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY.json","graph_json":"https://pith.science/api/pith-number/G2GAUKTPTDB4PR3S7XN4KDCXXY/graph.json","events_json":"https://pith.science/api/pith-number/G2GAUKTPTDB4PR3S7XN4KDCXXY/events.json","paper":"https://pith.science/paper/G2GAUKTP"},"agent_actions":{"view_html":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY","download_json":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY.json","view_paper":"https://pith.science/paper/G2GAUKTP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.0402&json=true","fetch_graph":"https://pith.science/api/pith-number/G2GAUKTPTDB4PR3S7XN4KDCXXY/graph.json","fetch_events":"https://pith.science/api/pith-number/G2GAUKTPTDB4PR3S7XN4KDCXXY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY/action/storage_attestation","attest_author":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY/action/author_attestation","sign_citation":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY/action/citation_signature","submit_replication":"https://pith.science/pith/G2GAUKTPTDB4PR3S7XN4KDCXXY/action/replication_record"}},"created_at":"2026-05-18T04:04:33.069506+00:00","updated_at":"2026-05-18T04:04:33.069506+00:00"}