{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A7ORMZQJBFGKFS2BQQIGBLXHWO","short_pith_number":"pith:A7ORMZQJ","schema_version":"1.0","canonical_sha256":"07dd166609094ca2cb41841060aee7b38b80acc08589f67646f54fee8e783597","source":{"kind":"arxiv","id":"1312.7386","version":2},"attestation_state":"computed","paper":{"title":"The global sections of the chiral de Rham complex on a Kummer surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bailin Song","submitted_at":"2013-12-28T03:38:15Z","abstract_excerpt":"The chiral de Rham complex is a sheaf of vertex algebras {\\Omega}^ch_M on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra of global sections is isomorphic to the N = 4 superconformal vertex algebra with central charge 6. Previously, CP^n was the only manifold where a complete description of the global section algebra was known."},"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":"1312.7386","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-12-28T03:38:15Z","cross_cats_sorted":[],"title_canon_sha256":"997048d95439f03a15fceaf6d651bf34c490c5d6e4fece3b23e8da0aa8834404","abstract_canon_sha256":"4c1e2dd5b94c4cb858468b4f04bdcdbf41e06999f185f64e812ecc9f7070ca61"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:00.927161Z","signature_b64":"L0fm5SPVA+Ar4eX20o2H/GwAXF5WyOj1AEAaaD+/AesIgr9K3hQgZOg/dyMBQgT3TW/PdS2cQyJOQ7s8Cp58Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"07dd166609094ca2cb41841060aee7b38b80acc08589f67646f54fee8e783597","last_reissued_at":"2026-05-18T02:48:00.926746Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:00.926746Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The global sections of the chiral de Rham complex on a Kummer surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Bailin Song","submitted_at":"2013-12-28T03:38:15Z","abstract_excerpt":"The chiral de Rham complex is a sheaf of vertex algebras {\\Omega}^ch_M on any nonsingular algebraic variety or complex manifold M, which contains the ordinary de Rham complex as the weight zero subspace. We show that when M is a Kummer surface, the algebra of global sections is isomorphic to the N = 4 superconformal vertex algebra with central charge 6. Previously, CP^n was the only manifold where a complete description of the global section algebra was known."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7386","kind":"arxiv","version":2},"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":"1312.7386","created_at":"2026-05-18T02:48:00.926796+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.7386v2","created_at":"2026-05-18T02:48:00.926796+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7386","created_at":"2026-05-18T02:48:00.926796+00:00"},{"alias_kind":"pith_short_12","alias_value":"A7ORMZQJBFGK","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A7ORMZQJBFGKFS2B","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A7ORMZQJ","created_at":"2026-05-18T12:27:38.830355+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/A7ORMZQJBFGKFS2BQQIGBLXHWO","json":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO.json","graph_json":"https://pith.science/api/pith-number/A7ORMZQJBFGKFS2BQQIGBLXHWO/graph.json","events_json":"https://pith.science/api/pith-number/A7ORMZQJBFGKFS2BQQIGBLXHWO/events.json","paper":"https://pith.science/paper/A7ORMZQJ"},"agent_actions":{"view_html":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO","download_json":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO.json","view_paper":"https://pith.science/paper/A7ORMZQJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.7386&json=true","fetch_graph":"https://pith.science/api/pith-number/A7ORMZQJBFGKFS2BQQIGBLXHWO/graph.json","fetch_events":"https://pith.science/api/pith-number/A7ORMZQJBFGKFS2BQQIGBLXHWO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO/action/storage_attestation","attest_author":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO/action/author_attestation","sign_citation":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO/action/citation_signature","submit_replication":"https://pith.science/pith/A7ORMZQJBFGKFS2BQQIGBLXHWO/action/replication_record"}},"created_at":"2026-05-18T02:48:00.926796+00:00","updated_at":"2026-05-18T02:48:00.926796+00:00"}