{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:UWSOMLKHWSQAMKVZRFJH5NHAWU","short_pith_number":"pith:UWSOMLKH","schema_version":"1.0","canonical_sha256":"a5a4e62d47b4a0062ab989527eb4e0b531c82fe3484178315ac2a9c4459af010","source":{"kind":"arxiv","id":"2501.16157","version":2},"attestation_state":"computed","paper":{"title":"Mukai models of Fano varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander Kuznetsov, Arend Bayer, Emanuele Macr\\`i","submitted_at":"2025-01-27T15:53:36Z","abstract_excerpt":"We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus $g \\ge 6$ with at most Gorenstein factorial terminal singularities, and of its extension to higher-dimension."},"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":"2501.16157","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2025-01-27T15:53:36Z","cross_cats_sorted":[],"title_canon_sha256":"daa5608978c1c52293c7575d32465c33b58dc699f74eb61d5bd9019c762e5944","abstract_canon_sha256":"b7a1669f72e2ee3d273d80293e53ca014ffc26b2887f1f561c5989fb764214ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:28:33.653551Z","signature_b64":"wr819Jp9gE/VRHgLmu2OsVdu+8G0B+dNZnMA7tz8M9vuY6IHQ68Sdim7hCl8TmWezPEGUXF88S2TF1l/WKgTBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5a4e62d47b4a0062ab989527eb4e0b531c82fe3484178315ac2a9c4459af010","last_reissued_at":"2026-07-05T11:28:33.652982Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:28:33.652982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mukai models of Fano varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Alexander Kuznetsov, Arend Bayer, Emanuele Macr\\`i","submitted_at":"2025-01-27T15:53:36Z","abstract_excerpt":"We give a self-contained and simplified proof of Mukai's classification of prime Fano threefolds of index 1 and genus $g \\ge 6$ with at most Gorenstein factorial terminal singularities, and of its extension to higher-dimension."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.16157","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.16157/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":"2501.16157","created_at":"2026-07-05T11:28:33.653058+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.16157v2","created_at":"2026-07-05T11:28:33.653058+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.16157","created_at":"2026-07-05T11:28:33.653058+00:00"},{"alias_kind":"pith_short_12","alias_value":"UWSOMLKHWSQA","created_at":"2026-07-05T11:28:33.653058+00:00"},{"alias_kind":"pith_short_16","alias_value":"UWSOMLKHWSQAMKVZ","created_at":"2026-07-05T11:28:33.653058+00:00"},{"alias_kind":"pith_short_8","alias_value":"UWSOMLKH","created_at":"2026-07-05T11:28:33.653058+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.05344","citing_title":"A note on stability conditions on projective spaces","ref_index":77,"is_internal_anchor":true},{"citing_arxiv_id":"2605.30875","citing_title":"Cylinders in Fano threefolds of genus 9 and 10","ref_index":3,"is_internal_anchor":false},{"citing_arxiv_id":"2605.20178","citing_title":"Sharp systolic inequalities for K\\\"ahler manifolds","ref_index":138,"is_internal_anchor":false},{"citing_arxiv_id":"2605.13808","citing_title":"Tilt-stability on singular schemes and Bogomolov-Gieseker-type inequalities","ref_index":4,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU","json":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU.json","graph_json":"https://pith.science/api/pith-number/UWSOMLKHWSQAMKVZRFJH5NHAWU/graph.json","events_json":"https://pith.science/api/pith-number/UWSOMLKHWSQAMKVZRFJH5NHAWU/events.json","paper":"https://pith.science/paper/UWSOMLKH"},"agent_actions":{"view_html":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU","download_json":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU.json","view_paper":"https://pith.science/paper/UWSOMLKH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.16157&json=true","fetch_graph":"https://pith.science/api/pith-number/UWSOMLKHWSQAMKVZRFJH5NHAWU/graph.json","fetch_events":"https://pith.science/api/pith-number/UWSOMLKHWSQAMKVZRFJH5NHAWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU/action/storage_attestation","attest_author":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU/action/author_attestation","sign_citation":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU/action/citation_signature","submit_replication":"https://pith.science/pith/UWSOMLKHWSQAMKVZRFJH5NHAWU/action/replication_record"}},"created_at":"2026-07-05T11:28:33.653058+00:00","updated_at":"2026-07-05T11:28:33.653058+00:00"}