{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2001:FSBWGDYMKAXKE2RQYXTVJB2S5M","short_pith_number":"pith:FSBWGDYM","schema_version":"1.0","canonical_sha256":"2c83630f0c502ea26a30c5e7548752eb1f193f24b279ca3f07a5892be0be7917","source":{"kind":"arxiv","id":"math/0111089","version":5},"attestation_state":"computed","paper":{"title":"HyperK\\\"ahler Manifolds and Birational Transformations","license":"","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"math.AG","authors_text":"S.-T. Yau, Yi Hu","submitted_at":"2001-11-07T22:56:37Z","abstract_excerpt":"In this paper we study the birational geometry of HyperKaehler manifolds by combining the method of minimal model program and the traditional approach of symplectic geometry."},"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":"math/0111089","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2001-11-07T22:56:37Z","cross_cats_sorted":["hep-th","math.DG"],"title_canon_sha256":"8df6278544274e3f8f8b21cde4a0b5777ca011d2973a465e53c2aecf8a59ae7f","abstract_canon_sha256":"5d5bc62bb1be866e9e9aa4819781817a5b601d4a5566a911d6a308792ab7d37b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:49:15.603084Z","signature_b64":"dYkv7gV/lbMns2/ZxgUXOZU5+z/lIxrhoKIrzJVnuFJ5yAuLKtRmryc1P4HkU3qnb5C3CYvmdesABsxmKNEEAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c83630f0c502ea26a30c5e7548752eb1f193f24b279ca3f07a5892be0be7917","last_reissued_at":"2026-07-04T14:49:15.602676Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:49:15.602676Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"HyperK\\\"ahler Manifolds and Birational Transformations","license":"","headline":"","cross_cats":["hep-th","math.DG"],"primary_cat":"math.AG","authors_text":"S.-T. Yau, Yi Hu","submitted_at":"2001-11-07T22:56:37Z","abstract_excerpt":"In this paper we study the birational geometry of HyperKaehler manifolds by combining the method of minimal model program and the traditional approach of symplectic geometry."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0111089","kind":"arxiv","version":5},"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/math/0111089/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":"math/0111089","created_at":"2026-07-04T14:49:15.602739+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0111089v5","created_at":"2026-07-04T14:49:15.602739+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0111089","created_at":"2026-07-04T14:49:15.602739+00:00"},{"alias_kind":"pith_short_12","alias_value":"FSBWGDYMKAXK","created_at":"2026-07-04T14:49:15.602739+00:00"},{"alias_kind":"pith_short_16","alias_value":"FSBWGDYMKAXKE2RQ","created_at":"2026-07-04T14:49:15.602739+00:00"},{"alias_kind":"pith_short_8","alias_value":"FSBWGDYM","created_at":"2026-07-04T14:49:15.602739+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/FSBWGDYMKAXKE2RQYXTVJB2S5M","json":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M.json","graph_json":"https://pith.science/api/pith-number/FSBWGDYMKAXKE2RQYXTVJB2S5M/graph.json","events_json":"https://pith.science/api/pith-number/FSBWGDYMKAXKE2RQYXTVJB2S5M/events.json","paper":"https://pith.science/paper/FSBWGDYM"},"agent_actions":{"view_html":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M","download_json":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M.json","view_paper":"https://pith.science/paper/FSBWGDYM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0111089&json=true","fetch_graph":"https://pith.science/api/pith-number/FSBWGDYMKAXKE2RQYXTVJB2S5M/graph.json","fetch_events":"https://pith.science/api/pith-number/FSBWGDYMKAXKE2RQYXTVJB2S5M/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M/action/storage_attestation","attest_author":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M/action/author_attestation","sign_citation":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M/action/citation_signature","submit_replication":"https://pith.science/pith/FSBWGDYMKAXKE2RQYXTVJB2S5M/action/replication_record"}},"created_at":"2026-07-04T14:49:15.602739+00:00","updated_at":"2026-07-04T14:49:15.602739+00:00"}