{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2ETVNU3MG2QO22AFKKQ62ZQWWU","short_pith_number":"pith:2ETVNU3M","schema_version":"1.0","canonical_sha256":"d12756d36c36a0ed680552a1ed6616b52d001a34740b3a04f0a004012bc0a733","source":{"kind":"arxiv","id":"1804.05302","version":2},"attestation_state":"computed","paper":{"title":"Toric Fano contractions associated to long extremal rays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hiroshi Sato, Osamu Fujino","submitted_at":"2018-04-15T03:59:01Z","abstract_excerpt":"We show that a toric Fano contraction associated to an extremal ray whose length is greater than the dimension of its fiber is a projective space bundle."},"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":"1804.05302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-04-15T03:59:01Z","cross_cats_sorted":[],"title_canon_sha256":"a0ead92aea24833f5df483b7232e8b63133d6b883cbaa7447e77bc7e3fe3b647","abstract_canon_sha256":"043bb13dc67d0fbf7fc0a5d5f9cd6fdc26e11e00c8cc08926e53b671bbc670ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:07:55.202932Z","signature_b64":"nGiSGY2aPWGjhTghbQbSNrv84V+sdnoR/wjRKq8ZviZnF4DZONd5Dxg4Vs7VQv81wqHmcjpIS3oFc3gm21z3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d12756d36c36a0ed680552a1ed6616b52d001a34740b3a04f0a004012bc0a733","last_reissued_at":"2026-05-18T00:07:55.202217Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:07:55.202217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Toric Fano contractions associated to long extremal rays","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Hiroshi Sato, Osamu Fujino","submitted_at":"2018-04-15T03:59:01Z","abstract_excerpt":"We show that a toric Fano contraction associated to an extremal ray whose length is greater than the dimension of its fiber is a projective space bundle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.05302","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":"1804.05302","created_at":"2026-05-18T00:07:55.202334+00:00"},{"alias_kind":"arxiv_version","alias_value":"1804.05302v2","created_at":"2026-05-18T00:07:55.202334+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.05302","created_at":"2026-05-18T00:07:55.202334+00:00"},{"alias_kind":"pith_short_12","alias_value":"2ETVNU3MG2QO","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_16","alias_value":"2ETVNU3MG2QO22AF","created_at":"2026-05-18T12:31:59.375834+00:00"},{"alias_kind":"pith_short_8","alias_value":"2ETVNU3M","created_at":"2026-05-18T12:31:59.375834+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/2ETVNU3MG2QO22AFKKQ62ZQWWU","json":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU.json","graph_json":"https://pith.science/api/pith-number/2ETVNU3MG2QO22AFKKQ62ZQWWU/graph.json","events_json":"https://pith.science/api/pith-number/2ETVNU3MG2QO22AFKKQ62ZQWWU/events.json","paper":"https://pith.science/paper/2ETVNU3M"},"agent_actions":{"view_html":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU","download_json":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU.json","view_paper":"https://pith.science/paper/2ETVNU3M","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1804.05302&json=true","fetch_graph":"https://pith.science/api/pith-number/2ETVNU3MG2QO22AFKKQ62ZQWWU/graph.json","fetch_events":"https://pith.science/api/pith-number/2ETVNU3MG2QO22AFKKQ62ZQWWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU/action/storage_attestation","attest_author":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU/action/author_attestation","sign_citation":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU/action/citation_signature","submit_replication":"https://pith.science/pith/2ETVNU3MG2QO22AFKKQ62ZQWWU/action/replication_record"}},"created_at":"2026-05-18T00:07:55.202334+00:00","updated_at":"2026-05-18T00:07:55.202334+00:00"}