{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:NZDOFPC632XQFY52QDR2QL73LD","short_pith_number":"pith:NZDOFPC6","schema_version":"1.0","canonical_sha256":"6e46e2bc5edeaf02e3ba80e3a82ffb58f8c6fb9bf87acccae77220f858b9e83b","source":{"kind":"arxiv","id":"2206.08539","version":2},"attestation_state":"computed","paper":{"title":"K-stable divisors in $\\mathbb{P}^1\\times\\mathbb{P}^1\\times\\mathbb{P}^2$ of degree $(1,1,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada","submitted_at":"2022-06-17T04:10:54Z","abstract_excerpt":"We prove that every smooth divisor in $\\mathbb{P}^1\\times\\mathbb{P}^1\\times\\mathbb{P}^2$ of degree $(1,1,2)$ is K-stable."},"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":"2206.08539","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-06-17T04:10:54Z","cross_cats_sorted":[],"title_canon_sha256":"827fea925e0d5a181bc6e1b3825f31d8127498988d864f1eb4b146fdd06224dd","abstract_canon_sha256":"8f6f822afc0a5986185d7bb4b3fd9658992e3d350968b6b6c2bdb5877f8ea7c4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:38:08.716996Z","signature_b64":"ok4dx+srD26MhyZ0RPS5nsNXp4lZFQEHWVJQl/FBU+1YG4vjhjZPPS16EjBElHbg55Yt6D2bWOBmlE7fxw+0DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6e46e2bc5edeaf02e3ba80e3a82ffb58f8c6fb9bf87acccae77220f858b9e83b","last_reissued_at":"2026-07-05T05:38:08.716498Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:38:08.716498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"K-stable divisors in $\\mathbb{P}^1\\times\\mathbb{P}^1\\times\\mathbb{P}^2$ of degree $(1,1,2)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada","submitted_at":"2022-06-17T04:10:54Z","abstract_excerpt":"We prove that every smooth divisor in $\\mathbb{P}^1\\times\\mathbb{P}^1\\times\\mathbb{P}^2$ of degree $(1,1,2)$ is K-stable."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.08539","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/2206.08539/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":"2206.08539","created_at":"2026-07-05T05:38:08.716559+00:00"},{"alias_kind":"arxiv_version","alias_value":"2206.08539v2","created_at":"2026-07-05T05:38:08.716559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.08539","created_at":"2026-07-05T05:38:08.716559+00:00"},{"alias_kind":"pith_short_12","alias_value":"NZDOFPC632XQ","created_at":"2026-07-05T05:38:08.716559+00:00"},{"alias_kind":"pith_short_16","alias_value":"NZDOFPC632XQFY52","created_at":"2026-07-05T05:38:08.716559+00:00"},{"alias_kind":"pith_short_8","alias_value":"NZDOFPC6","created_at":"2026-07-05T05:38:08.716559+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.18317","citing_title":"On K-stability of $\\mathbb P^3$ blown up along a smooth genus $2$ curve of degree $5$","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD","json":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD.json","graph_json":"https://pith.science/api/pith-number/NZDOFPC632XQFY52QDR2QL73LD/graph.json","events_json":"https://pith.science/api/pith-number/NZDOFPC632XQFY52QDR2QL73LD/events.json","paper":"https://pith.science/paper/NZDOFPC6"},"agent_actions":{"view_html":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD","download_json":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD.json","view_paper":"https://pith.science/paper/NZDOFPC6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2206.08539&json=true","fetch_graph":"https://pith.science/api/pith-number/NZDOFPC632XQFY52QDR2QL73LD/graph.json","fetch_events":"https://pith.science/api/pith-number/NZDOFPC632XQFY52QDR2QL73LD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD/action/storage_attestation","attest_author":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD/action/author_attestation","sign_citation":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD/action/citation_signature","submit_replication":"https://pith.science/pith/NZDOFPC632XQFY52QDR2QL73LD/action/replication_record"}},"created_at":"2026-07-05T05:38:08.716559+00:00","updated_at":"2026-07-05T05:38:08.716559+00:00"}