{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:4OWLJZ4KXAVGBUTMN3XKOOFZPH","short_pith_number":"pith:4OWLJZ4K","schema_version":"1.0","canonical_sha256":"e3acb4e78ab82a60d26c6eeea738b979c53e428c0d1399eae21a104f10b43707","source":{"kind":"arxiv","id":"2201.03899","version":2},"attestation_state":"computed","paper":{"title":"Categorical Torelli theorems: results and open problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Laura Pertusi, Paolo Stellari","submitted_at":"2022-01-11T11:58:07Z","abstract_excerpt":"We survey some recent results concerning the so called Categorical Torelli problem. This is to say how one can reconstruct a smooth projective variety up to isomorphism, by using the homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds."},"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":"2201.03899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2022-01-11T11:58:07Z","cross_cats_sorted":[],"title_canon_sha256":"1eb0de4763687f4aa086072343bd8adaa2023e9f46957763818961a96b482ac2","abstract_canon_sha256":"4ec29a0068b96215f1690b21152b87167af761e0b77fd20e0ebb4d6a4aad3ffd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:52:47.234831Z","signature_b64":"VEaJn4CdEqD+hTtsBX4sU36j04yDcyFTM1gwT4GFgFI+JkGkfZyvgUHwCbXrgckA2CMdLcuXsXyDAU94vet/AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3acb4e78ab82a60d26c6eeea738b979c53e428c0d1399eae21a104f10b43707","last_reissued_at":"2026-07-05T04:52:47.234433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:52:47.234433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorical Torelli theorems: results and open problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Laura Pertusi, Paolo Stellari","submitted_at":"2022-01-11T11:58:07Z","abstract_excerpt":"We survey some recent results concerning the so called Categorical Torelli problem. This is to say how one can reconstruct a smooth projective variety up to isomorphism, by using the homological properties of special admissible subcategories of the bounded derived category of coherent sheaves of such a variety. The focus is on Enriques surfaces, prime Fano threefolds and cubic fourfolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.03899","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/2201.03899/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":"2201.03899","created_at":"2026-07-05T04:52:47.234491+00:00"},{"alias_kind":"arxiv_version","alias_value":"2201.03899v2","created_at":"2026-07-05T04:52:47.234491+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.03899","created_at":"2026-07-05T04:52:47.234491+00:00"},{"alias_kind":"pith_short_12","alias_value":"4OWLJZ4KXAVG","created_at":"2026-07-05T04:52:47.234491+00:00"},{"alias_kind":"pith_short_16","alias_value":"4OWLJZ4KXAVGBUTM","created_at":"2026-07-05T04:52:47.234491+00:00"},{"alias_kind":"pith_short_8","alias_value":"4OWLJZ4K","created_at":"2026-07-05T04:52:47.234491+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/4OWLJZ4KXAVGBUTMN3XKOOFZPH","json":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH.json","graph_json":"https://pith.science/api/pith-number/4OWLJZ4KXAVGBUTMN3XKOOFZPH/graph.json","events_json":"https://pith.science/api/pith-number/4OWLJZ4KXAVGBUTMN3XKOOFZPH/events.json","paper":"https://pith.science/paper/4OWLJZ4K"},"agent_actions":{"view_html":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH","download_json":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH.json","view_paper":"https://pith.science/paper/4OWLJZ4K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2201.03899&json=true","fetch_graph":"https://pith.science/api/pith-number/4OWLJZ4KXAVGBUTMN3XKOOFZPH/graph.json","fetch_events":"https://pith.science/api/pith-number/4OWLJZ4KXAVGBUTMN3XKOOFZPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH/action/storage_attestation","attest_author":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH/action/author_attestation","sign_citation":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH/action/citation_signature","submit_replication":"https://pith.science/pith/4OWLJZ4KXAVGBUTMN3XKOOFZPH/action/replication_record"}},"created_at":"2026-07-05T04:52:47.234491+00:00","updated_at":"2026-07-05T04:52:47.234491+00:00"}