{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:QIPUKQGNO3EAV56RDMZPE6TJ7X","short_pith_number":"pith:QIPUKQGN","schema_version":"1.0","canonical_sha256":"821f4540cd76c80af7d11b32f27a69fdce6ccbaea84b56a5c4197b92759d64d1","source":{"kind":"arxiv","id":"2411.04067","version":1},"attestation_state":"computed","paper":{"title":"Log Calabi-Yau mirror symmetry and non-archimedean disks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Sean Keel, Tony Yue Yu","submitted_at":"2024-11-06T17:38:47Z","abstract_excerpt":"We construct the mirror algebra to a smooth affine log Calabi-Yau variety with maximal boundary, as the spectrum of a commutative associative algebra with a canonical basis, whose structure constants are given as naive counts of non-archimedean analytic disks. More generally, we studied the enumeration of non-archimedean analytic curves with boundaries, associated to a given transverse spine in the essential skeleton of the log Calabi-Yau variety. The moduli spaces of such curves are infinite dimensional. In order to obtain finite counts, we impose a boundary regularity condition so that the c"},"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":"2411.04067","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2024-11-06T17:38:47Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"0b17aa3f44643e2a1a94a7465d34790cb79cb18153f7b7d11230a82ab2923fea","abstract_canon_sha256":"9e5dabd7dfe4e1740384a799845b8aafc008c0adbf63e124bf09a55316c90207"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:32:00.303837Z","signature_b64":"dxEtdAavCw0JGLSdKTWY3f0sqRUyF+ou4OsvXZBm2jnKWywqT5a66NUwg+/Drte80g4B89vtYi8Y1KKMq3rwDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"821f4540cd76c80af7d11b32f27a69fdce6ccbaea84b56a5c4197b92759d64d1","last_reissued_at":"2026-07-05T09:32:00.303418Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:32:00.303418Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Log Calabi-Yau mirror symmetry and non-archimedean disks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Sean Keel, Tony Yue Yu","submitted_at":"2024-11-06T17:38:47Z","abstract_excerpt":"We construct the mirror algebra to a smooth affine log Calabi-Yau variety with maximal boundary, as the spectrum of a commutative associative algebra with a canonical basis, whose structure constants are given as naive counts of non-archimedean analytic disks. More generally, we studied the enumeration of non-archimedean analytic curves with boundaries, associated to a given transverse spine in the essential skeleton of the log Calabi-Yau variety. The moduli spaces of such curves are infinite dimensional. In order to obtain finite counts, we impose a boundary regularity condition so that the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.04067","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2411.04067/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2411.04067","created_at":"2026-07-05T09:32:00.303475+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.04067v1","created_at":"2026-07-05T09:32:00.303475+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.04067","created_at":"2026-07-05T09:32:00.303475+00:00"},{"alias_kind":"pith_short_12","alias_value":"QIPUKQGNO3EA","created_at":"2026-07-05T09:32:00.303475+00:00"},{"alias_kind":"pith_short_16","alias_value":"QIPUKQGNO3EAV56R","created_at":"2026-07-05T09:32:00.303475+00:00"},{"alias_kind":"pith_short_8","alias_value":"QIPUKQGN","created_at":"2026-07-05T09:32:00.303475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2605.27263","citing_title":"Relations between categorifications of higher-dimensional type $A$ cluster combinatorics","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2604.27890","citing_title":"Valuative independence for Calabi--Yau varieties","ref_index":5,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X","json":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X.json","graph_json":"https://pith.science/api/pith-number/QIPUKQGNO3EAV56RDMZPE6TJ7X/graph.json","events_json":"https://pith.science/api/pith-number/QIPUKQGNO3EAV56RDMZPE6TJ7X/events.json","paper":"https://pith.science/paper/QIPUKQGN"},"agent_actions":{"view_html":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X","download_json":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X.json","view_paper":"https://pith.science/paper/QIPUKQGN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.04067&json=true","fetch_graph":"https://pith.science/api/pith-number/QIPUKQGNO3EAV56RDMZPE6TJ7X/graph.json","fetch_events":"https://pith.science/api/pith-number/QIPUKQGNO3EAV56RDMZPE6TJ7X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X/action/storage_attestation","attest_author":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X/action/author_attestation","sign_citation":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X/action/citation_signature","submit_replication":"https://pith.science/pith/QIPUKQGNO3EAV56RDMZPE6TJ7X/action/replication_record"}},"created_at":"2026-07-05T09:32:00.303475+00:00","updated_at":"2026-07-05T09:32:00.303475+00:00"}