{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:NQFQIZPLW2XS3Q4UMHOOPTDB7T","short_pith_number":"pith:NQFQIZPL","schema_version":"1.0","canonical_sha256":"6c0b0465ebb6af2dc39461dce7cc61fcd11e071d3749d340d7cca703384089a8","source":{"kind":"arxiv","id":"2307.14429","version":1},"attestation_state":"computed","paper":{"title":"Commuting Line Defects At $q^N=1$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AC","math.GT","math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Davide Gaiotto, Fei Yan, Gregory W. Moore","submitted_at":"2023-07-26T18:00:39Z","abstract_excerpt":"We explain the physical origin of a curious property of algebras $\\mathcal{A}_\\mathfrak{q}$ which encode the rotation-equivariant fusion ring of half-BPS line defects in four-dimensional $\\mathcal{N}=2$ supersymmetric quantum field theories. These algebras are a quantization of the algebras of holomorphic functions on the three-dimensional Coulomb branch of the SQFTs, with deformation parameter $\\log \\mathfrak{q}$. They are known to acquire a large center, canonically isomorphic to the undeformed algebra, whenever $\\mathfrak{q}$ is a root of unity. We give a physical explanation of this fact. "},"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":"2307.14429","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-07-26T18:00:39Z","cross_cats_sorted":["math.AC","math.GT","math.QA","math.RT"],"title_canon_sha256":"cd6b35427109709cdf3d1a937a974d452cac8ae42671f67b1cb556987d1e3d47","abstract_canon_sha256":"35120d287a441f1166cc1add077a0fd01c222163e070798b773504131e6108b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:35:13.004078Z","signature_b64":"MigkxseeIMcrr6pt//ebfLSYTLaquCKpd5gKT72d7wOtkLK5GXqHogsli69PGsM1/WEsdkwkWrAASU3SdlLODQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c0b0465ebb6af2dc39461dce7cc61fcd11e071d3749d340d7cca703384089a8","last_reissued_at":"2026-07-05T06:35:13.003614Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:35:13.003614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Commuting Line Defects At $q^N=1$","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.AC","math.GT","math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Andrew Neitzke, Davide Gaiotto, Fei Yan, Gregory W. Moore","submitted_at":"2023-07-26T18:00:39Z","abstract_excerpt":"We explain the physical origin of a curious property of algebras $\\mathcal{A}_\\mathfrak{q}$ which encode the rotation-equivariant fusion ring of half-BPS line defects in four-dimensional $\\mathcal{N}=2$ supersymmetric quantum field theories. These algebras are a quantization of the algebras of holomorphic functions on the three-dimensional Coulomb branch of the SQFTs, with deformation parameter $\\log \\mathfrak{q}$. They are known to acquire a large center, canonically isomorphic to the undeformed algebra, whenever $\\mathfrak{q}$ is a root of unity. We give a physical explanation of this fact. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.14429","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2307.14429/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2307.14429","created_at":"2026-07-05T06:35:13.003671+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.14429v1","created_at":"2026-07-05T06:35:13.003671+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.14429","created_at":"2026-07-05T06:35:13.003671+00:00"},{"alias_kind":"pith_short_12","alias_value":"NQFQIZPLW2XS","created_at":"2026-07-05T06:35:13.003671+00:00"},{"alias_kind":"pith_short_16","alias_value":"NQFQIZPLW2XS3Q4U","created_at":"2026-07-05T06:35:13.003671+00:00"},{"alias_kind":"pith_short_8","alias_value":"NQFQIZPL","created_at":"2026-07-05T06:35:13.003671+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/NQFQIZPLW2XS3Q4UMHOOPTDB7T","json":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T.json","graph_json":"https://pith.science/api/pith-number/NQFQIZPLW2XS3Q4UMHOOPTDB7T/graph.json","events_json":"https://pith.science/api/pith-number/NQFQIZPLW2XS3Q4UMHOOPTDB7T/events.json","paper":"https://pith.science/paper/NQFQIZPL"},"agent_actions":{"view_html":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T","download_json":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T.json","view_paper":"https://pith.science/paper/NQFQIZPL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.14429&json=true","fetch_graph":"https://pith.science/api/pith-number/NQFQIZPLW2XS3Q4UMHOOPTDB7T/graph.json","fetch_events":"https://pith.science/api/pith-number/NQFQIZPLW2XS3Q4UMHOOPTDB7T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T/action/storage_attestation","attest_author":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T/action/author_attestation","sign_citation":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T/action/citation_signature","submit_replication":"https://pith.science/pith/NQFQIZPLW2XS3Q4UMHOOPTDB7T/action/replication_record"}},"created_at":"2026-07-05T06:35:13.003671+00:00","updated_at":"2026-07-05T06:35:13.003671+00:00"}