{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:SKIPKJHR5EC766FOREGV7OZQAN","short_pith_number":"pith:SKIPKJHR","schema_version":"1.0","canonical_sha256":"9290f524f1e905ff78ae890d5fbb30036adbccedd0da8281206cfe82f54386f6","source":{"kind":"arxiv","id":"1203.6004","version":1},"attestation_state":"computed","paper":{"title":"On Flavor Symmetry in Lattice Quantum Chromodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"El Hassan Saidi","submitted_at":"2012-03-27T15:57:14Z","abstract_excerpt":"Using a well established method to engineer non abelian symmetries in superstring compactifications, we study the link between the point splitting method of Creutz et al of refs [1,2] for implementing flavor symmetry in lattice QCD; and singularity theory in complex algebraic geometry. We show amongst others that Creutz flavors for naive fermions are intimately related with toric singularities of a class of complex Kahler manifolds that are explicitly built here. In the case of naive fermions of QCD$_{2N}$, Creutz flavors are shown to live at the poles of real 2-spheres and carry quantum charg"},"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":"1203.6004","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-03-27T15:57:14Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"ddf31a161c6ba9fa6ff39c1e6d43be0b19255334a00630fd9f83bdee6f3651d8","abstract_canon_sha256":"749b4c36a688dd06bf02063f5718dba7b2fcaba9ee3570893aaeb0cdbbb4c2c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:01.393534Z","signature_b64":"8UcEogvHZ3dmPmTOQsKllmjSRsVsTCg6k/xrxnXE31jo+eGPcKWamD82FwHTiI8Y6zy0iOIvBF4005abV1j/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9290f524f1e905ff78ae890d5fbb30036adbccedd0da8281206cfe82f54386f6","last_reissued_at":"2026-05-18T01:58:01.393099Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:01.393099Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Flavor Symmetry in Lattice Quantum Chromodynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-th","authors_text":"El Hassan Saidi","submitted_at":"2012-03-27T15:57:14Z","abstract_excerpt":"Using a well established method to engineer non abelian symmetries in superstring compactifications, we study the link between the point splitting method of Creutz et al of refs [1,2] for implementing flavor symmetry in lattice QCD; and singularity theory in complex algebraic geometry. We show amongst others that Creutz flavors for naive fermions are intimately related with toric singularities of a class of complex Kahler manifolds that are explicitly built here. In the case of naive fermions of QCD$_{2N}$, Creutz flavors are shown to live at the poles of real 2-spheres and carry quantum charg"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.6004","kind":"arxiv","version":1},"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":"1203.6004","created_at":"2026-05-18T01:58:01.393157+00:00"},{"alias_kind":"arxiv_version","alias_value":"1203.6004v1","created_at":"2026-05-18T01:58:01.393157+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.6004","created_at":"2026-05-18T01:58:01.393157+00:00"},{"alias_kind":"pith_short_12","alias_value":"SKIPKJHR5EC7","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_16","alias_value":"SKIPKJHR5EC766FO","created_at":"2026-05-18T12:27:20.899486+00:00"},{"alias_kind":"pith_short_8","alias_value":"SKIPKJHR","created_at":"2026-05-18T12:27:20.899486+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN","json":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN.json","graph_json":"https://pith.science/api/pith-number/SKIPKJHR5EC766FOREGV7OZQAN/graph.json","events_json":"https://pith.science/api/pith-number/SKIPKJHR5EC766FOREGV7OZQAN/events.json","paper":"https://pith.science/paper/SKIPKJHR"},"agent_actions":{"view_html":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN","download_json":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN.json","view_paper":"https://pith.science/paper/SKIPKJHR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1203.6004&json=true","fetch_graph":"https://pith.science/api/pith-number/SKIPKJHR5EC766FOREGV7OZQAN/graph.json","fetch_events":"https://pith.science/api/pith-number/SKIPKJHR5EC766FOREGV7OZQAN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN/action/storage_attestation","attest_author":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN/action/author_attestation","sign_citation":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN/action/citation_signature","submit_replication":"https://pith.science/pith/SKIPKJHR5EC766FOREGV7OZQAN/action/replication_record"}},"created_at":"2026-05-18T01:58:01.393157+00:00","updated_at":"2026-05-18T01:58:01.393157+00:00"}