{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:VIIMDXWAXQPEWTAI763ZLJJUBG","short_pith_number":"pith:VIIMDXWA","schema_version":"1.0","canonical_sha256":"aa10c1dec0bc1e4b4c08ffb795a5340988a712ea56e0be74c8a8d38b43241d65","source":{"kind":"arxiv","id":"1112.0816","version":2},"attestation_state":"computed","paper":{"title":"A geometric construction of the Witten genus, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.QA","authors_text":"Kevin J. Costello","submitted_at":"2011-12-05T01:11:20Z","abstract_excerpt":"I give a rigorous construction of a 2-dimensional quantum field theory of maps from an elliptic curve to a compact complex manifold X, and I show that the partition function of this theory is the Witten genus of X. The results proved here were announced (in a slightly different form) in arXiv:1006.5422."},"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":"1112.0816","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2011-12-05T01:11:20Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"a430463b458ee552c796cd9c5e57371643952bfb5bda7d0f6cc4a1145e26288d","abstract_canon_sha256":"eeab7a3b0dc78818ebcfbd528e9b4efed0fad5cf60be0c1561a084f4b841764b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:06:09.251271Z","signature_b64":"Go+9YEsw/V+PiJLxTlujVxlj4iyVBgelPKgC82j6l9l5KdBd0jWW5LRLoCvOGSuGzNVgjqsOdDbTufaC7l9sAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aa10c1dec0bc1e4b4c08ffb795a5340988a712ea56e0be74c8a8d38b43241d65","last_reissued_at":"2026-05-18T04:06:09.250758Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:06:09.250758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A geometric construction of the Witten genus, II","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.QA","authors_text":"Kevin J. Costello","submitted_at":"2011-12-05T01:11:20Z","abstract_excerpt":"I give a rigorous construction of a 2-dimensional quantum field theory of maps from an elliptic curve to a compact complex manifold X, and I show that the partition function of this theory is the Witten genus of X. The results proved here were announced (in a slightly different form) in arXiv:1006.5422."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0816","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":"1112.0816","created_at":"2026-05-18T04:06:09.250846+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.0816v2","created_at":"2026-05-18T04:06:09.250846+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.0816","created_at":"2026-05-18T04:06:09.250846+00:00"},{"alias_kind":"pith_short_12","alias_value":"VIIMDXWAXQPE","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"VIIMDXWAXQPEWTAI","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"VIIMDXWA","created_at":"2026-05-18T12:26:44.992195+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.01371","citing_title":"Categorical structures of Kuranishi spaces with $L_{\\infty}[1]$-algebras","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG","json":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG.json","graph_json":"https://pith.science/api/pith-number/VIIMDXWAXQPEWTAI763ZLJJUBG/graph.json","events_json":"https://pith.science/api/pith-number/VIIMDXWAXQPEWTAI763ZLJJUBG/events.json","paper":"https://pith.science/paper/VIIMDXWA"},"agent_actions":{"view_html":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG","download_json":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG.json","view_paper":"https://pith.science/paper/VIIMDXWA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.0816&json=true","fetch_graph":"https://pith.science/api/pith-number/VIIMDXWAXQPEWTAI763ZLJJUBG/graph.json","fetch_events":"https://pith.science/api/pith-number/VIIMDXWAXQPEWTAI763ZLJJUBG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG/action/storage_attestation","attest_author":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG/action/author_attestation","sign_citation":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG/action/citation_signature","submit_replication":"https://pith.science/pith/VIIMDXWAXQPEWTAI763ZLJJUBG/action/replication_record"}},"created_at":"2026-05-18T04:06:09.250846+00:00","updated_at":"2026-05-18T04:06:09.250846+00:00"}