{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TSSGIDFFPS5KACLGGC7B7YCHQD","short_pith_number":"pith:TSSGIDFF","schema_version":"1.0","canonical_sha256":"9ca4640ca57cbaa0096630be1fe04780e4dd2ef1005b2eb7675bcdca0146cba3","source":{"kind":"arxiv","id":"1611.08876","version":2},"attestation_state":"computed","paper":{"title":"Genus-One Mirror Symmetry in the Landau-Ginzburg Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Dustin Ross, Shuai Guo","submitted_at":"2016-11-27T17:29:05Z","abstract_excerpt":"We prove an explicit formula for the genus-one Fan-Jarvis-Ruan-Witten invariants associated to the quintic threefold, verifying the genus-one mirror conjecture of Huang, Klemm, and Quackenbush. The proof involves two steps. The first step uses localization on auxiliary moduli spaces to compare the usual Fan-Jarvis-Ruan-Witten invariants with a semisimple theory of twisted invariants. The second step uses the genus-one formula for semisimple cohomological field theories to compute the twisted invariants explicitly."},"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":"1611.08876","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-27T17:29:05Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"1a194975928ba6268ad0e0b4519253de1297e1dabcab397223343eef5edb71eb","abstract_canon_sha256":"00897a3f21de12b795c0261ef6032b85b32ff26cedd0002a78fc525b48f97f1f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:56.333612Z","signature_b64":"G7IVcmmnM0qR/adQztaTzhONuks/7yZwWK1WcQeZh2QQQGhV/U70/EAu6mhV/j6UW0gmCjyr1hDi7QUiQ3sMAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9ca4640ca57cbaa0096630be1fe04780e4dd2ef1005b2eb7675bcdca0146cba3","last_reissued_at":"2026-05-18T00:50:56.332936Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:56.332936Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Genus-One Mirror Symmetry in the Landau-Ginzburg Model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AG","authors_text":"Dustin Ross, Shuai Guo","submitted_at":"2016-11-27T17:29:05Z","abstract_excerpt":"We prove an explicit formula for the genus-one Fan-Jarvis-Ruan-Witten invariants associated to the quintic threefold, verifying the genus-one mirror conjecture of Huang, Klemm, and Quackenbush. The proof involves two steps. The first step uses localization on auxiliary moduli spaces to compare the usual Fan-Jarvis-Ruan-Witten invariants with a semisimple theory of twisted invariants. The second step uses the genus-one formula for semisimple cohomological field theories to compute the twisted invariants explicitly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08876","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":"1611.08876","created_at":"2026-05-18T00:50:56.333031+00:00"},{"alias_kind":"arxiv_version","alias_value":"1611.08876v2","created_at":"2026-05-18T00:50:56.333031+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08876","created_at":"2026-05-18T00:50:56.333031+00:00"},{"alias_kind":"pith_short_12","alias_value":"TSSGIDFFPS5K","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"TSSGIDFFPS5KACLG","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"TSSGIDFF","created_at":"2026-05-18T12:30:46.583412+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/TSSGIDFFPS5KACLGGC7B7YCHQD","json":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD.json","graph_json":"https://pith.science/api/pith-number/TSSGIDFFPS5KACLGGC7B7YCHQD/graph.json","events_json":"https://pith.science/api/pith-number/TSSGIDFFPS5KACLGGC7B7YCHQD/events.json","paper":"https://pith.science/paper/TSSGIDFF"},"agent_actions":{"view_html":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD","download_json":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD.json","view_paper":"https://pith.science/paper/TSSGIDFF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1611.08876&json=true","fetch_graph":"https://pith.science/api/pith-number/TSSGIDFFPS5KACLGGC7B7YCHQD/graph.json","fetch_events":"https://pith.science/api/pith-number/TSSGIDFFPS5KACLGGC7B7YCHQD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD/action/storage_attestation","attest_author":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD/action/author_attestation","sign_citation":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD/action/citation_signature","submit_replication":"https://pith.science/pith/TSSGIDFFPS5KACLGGC7B7YCHQD/action/replication_record"}},"created_at":"2026-05-18T00:50:56.333031+00:00","updated_at":"2026-05-18T00:50:56.333031+00:00"}