{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:67BAWX2EFJCQOTBDR4C3EJRDVI","short_pith_number":"pith:67BAWX2E","schema_version":"1.0","canonical_sha256":"f7c20b5f442a45074c238f05b22623aa21bd83cf08624908c9099c19cfa0657b","source":{"kind":"arxiv","id":"1008.4753","version":2},"attestation_state":"computed","paper":{"title":"Mirror maps equal SYZ maps for toric Calabi-Yau surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Baosen Wu, Naichung Conan Leung, Siu-Cheong Lau","submitted_at":"2010-08-27T16:21:03Z","abstract_excerpt":"We prove that the mirror map is the SYZ map for every toric Calabi-Yau surface. As a consequence one obtains an enumerative meaning of the mirror map. This involves computing genus-zero open Gromov-Witten invariants, which is done by relating them with closed Gromov-Witten invariants via compactification and using an earlier computation by Bryan-Leung."},"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":"1008.4753","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2010-08-27T16:21:03Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"212c4fac428ef0c85546c741ae35260531ee6e63b7fb32bf0de6b119c8da1bcc","abstract_canon_sha256":"0989f83d7d61dc277d4a703068f299d533a6cc8033df0fcc3f0fd6ffee711bca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:58:01.878620Z","signature_b64":"2Fh7vpLUKCdsP3NP+HxrJU1XrHEu4kS+SbB9HLcd0tcJgzDhYKrahDlPKFcwqLosglmiKuRw5UQ15GX4tZMDAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f7c20b5f442a45074c238f05b22623aa21bd83cf08624908c9099c19cfa0657b","last_reissued_at":"2026-05-18T02:58:01.878026Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:58:01.878026Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mirror maps equal SYZ maps for toric Calabi-Yau surfaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.SG","authors_text":"Baosen Wu, Naichung Conan Leung, Siu-Cheong Lau","submitted_at":"2010-08-27T16:21:03Z","abstract_excerpt":"We prove that the mirror map is the SYZ map for every toric Calabi-Yau surface. As a consequence one obtains an enumerative meaning of the mirror map. This involves computing genus-zero open Gromov-Witten invariants, which is done by relating them with closed Gromov-Witten invariants via compactification and using an earlier computation by Bryan-Leung."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.4753","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":"1008.4753","created_at":"2026-05-18T02:58:01.878120+00:00"},{"alias_kind":"arxiv_version","alias_value":"1008.4753v2","created_at":"2026-05-18T02:58:01.878120+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1008.4753","created_at":"2026-05-18T02:58:01.878120+00:00"},{"alias_kind":"pith_short_12","alias_value":"67BAWX2EFJCQ","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"67BAWX2EFJCQOTBD","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"67BAWX2E","created_at":"2026-05-18T12:26:04.259169+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/67BAWX2EFJCQOTBDR4C3EJRDVI","json":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI.json","graph_json":"https://pith.science/api/pith-number/67BAWX2EFJCQOTBDR4C3EJRDVI/graph.json","events_json":"https://pith.science/api/pith-number/67BAWX2EFJCQOTBDR4C3EJRDVI/events.json","paper":"https://pith.science/paper/67BAWX2E"},"agent_actions":{"view_html":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI","download_json":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI.json","view_paper":"https://pith.science/paper/67BAWX2E","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1008.4753&json=true","fetch_graph":"https://pith.science/api/pith-number/67BAWX2EFJCQOTBDR4C3EJRDVI/graph.json","fetch_events":"https://pith.science/api/pith-number/67BAWX2EFJCQOTBDR4C3EJRDVI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI/action/storage_attestation","attest_author":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI/action/author_attestation","sign_citation":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI/action/citation_signature","submit_replication":"https://pith.science/pith/67BAWX2EFJCQOTBDR4C3EJRDVI/action/replication_record"}},"created_at":"2026-05-18T02:58:01.878120+00:00","updated_at":"2026-05-18T02:58:01.878120+00:00"}