{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZSCKLZQ4SRB66SFZ42JLFJLFVP","short_pith_number":"pith:ZSCKLZQ4","schema_version":"1.0","canonical_sha256":"cc84a5e61c9443ef48b9e692b2a565abcbb4aca9adb62d543bafd539d847e9c2","source":{"kind":"arxiv","id":"1307.4830","version":1},"attestation_state":"computed","paper":{"title":"$N$-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA","math.RT"],"primary_cat":"math-ph","authors_text":"Ben Cox, Elizabeth Jurisich, Iana I. Anguelova","submitted_at":"2013-07-18T04:47:30Z","abstract_excerpt":"In this paper we study fields satisfying $N$-point locality and their properties. We obtain residue formulae for $N$-point local fields in terms of derivatives of delta functions and Bell polynomials. We introduce the notion of the space of descendants of $N$-point local fields which includes normal ordered products and coefficients of operator product expansions. We show that examples of $N$-point local fields include the vertex operators generating the boson-fermion correspondences of type B, C and D-A. We apply the normal ordered products of these vertex operators to the setting of the repr"},"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":"1307.4830","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-07-18T04:47:30Z","cross_cats_sorted":["math.MP","math.QA","math.RT"],"title_canon_sha256":"cffc190b4e1b907425f4e8cefef461f6b1e07b6c783e894008fc694a7c8ae355","abstract_canon_sha256":"ff3457d3fbe90429b7c09fca9677d7d1f48109987873d982535472544634f683"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:18:08.560212Z","signature_b64":"mhH+lqJJwMkTfIUMO3TrVyLMF3zSFt41QL8IkLSiEbhW9962r+zj3vXOgWdSCc4cBzDKa4nUrLZdLglElvqEAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc84a5e61c9443ef48b9e692b2a565abcbb4aca9adb62d543bafd539d847e9c2","last_reissued_at":"2026-05-18T03:18:08.559573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:18:08.559573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"$N$-point locality for vertex operators: normal ordered products, operator product expansions, twisted vertex algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.QA","math.RT"],"primary_cat":"math-ph","authors_text":"Ben Cox, Elizabeth Jurisich, Iana I. Anguelova","submitted_at":"2013-07-18T04:47:30Z","abstract_excerpt":"In this paper we study fields satisfying $N$-point locality and their properties. We obtain residue formulae for $N$-point local fields in terms of derivatives of delta functions and Bell polynomials. We introduce the notion of the space of descendants of $N$-point local fields which includes normal ordered products and coefficients of operator product expansions. We show that examples of $N$-point local fields include the vertex operators generating the boson-fermion correspondences of type B, C and D-A. We apply the normal ordered products of these vertex operators to the setting of the repr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.4830","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":"1307.4830","created_at":"2026-05-18T03:18:08.559675+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.4830v1","created_at":"2026-05-18T03:18:08.559675+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.4830","created_at":"2026-05-18T03:18:08.559675+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZSCKLZQ4SRB6","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZSCKLZQ4SRB66SFZ","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZSCKLZQ4","created_at":"2026-05-18T12:28:09.283467+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/ZSCKLZQ4SRB66SFZ42JLFJLFVP","json":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP.json","graph_json":"https://pith.science/api/pith-number/ZSCKLZQ4SRB66SFZ42JLFJLFVP/graph.json","events_json":"https://pith.science/api/pith-number/ZSCKLZQ4SRB66SFZ42JLFJLFVP/events.json","paper":"https://pith.science/paper/ZSCKLZQ4"},"agent_actions":{"view_html":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP","download_json":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP.json","view_paper":"https://pith.science/paper/ZSCKLZQ4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.4830&json=true","fetch_graph":"https://pith.science/api/pith-number/ZSCKLZQ4SRB66SFZ42JLFJLFVP/graph.json","fetch_events":"https://pith.science/api/pith-number/ZSCKLZQ4SRB66SFZ42JLFJLFVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP/action/storage_attestation","attest_author":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP/action/author_attestation","sign_citation":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP/action/citation_signature","submit_replication":"https://pith.science/pith/ZSCKLZQ4SRB66SFZ42JLFJLFVP/action/replication_record"}},"created_at":"2026-05-18T03:18:08.559675+00:00","updated_at":"2026-05-18T03:18:08.559675+00:00"}