{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:SQCQLODT3SWX7NKLBN4VOTMDKA","short_pith_number":"pith:SQCQLODT","schema_version":"1.0","canonical_sha256":"940505b873dcad7fb54b0b79574d83501f754e27c941a2b3c1d2b7b3cf625194","source":{"kind":"arxiv","id":"math/0411541","version":2},"attestation_state":"computed","paper":{"title":"Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Huybrechts, Paolo Stellari","submitted_at":"2004-11-24T09:53:26Z","abstract_excerpt":"We show that any orientation preserving Hodge isometry between the Hodge structures of two K3 surfaces X and X' twisted by Brauer classes $\\alpha$ resp. $\\alpha'$ can be lifted to a Fourier-Mukai equivalence between the derived categories of $\\alpha$ resp. $\\alpha'$-twisted sheaves."},"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/0411541","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2004-11-24T09:53:26Z","cross_cats_sorted":[],"title_canon_sha256":"61f7b8078381241c630cdaf204d450c4befad76f6d4ad7b9a67f79e25092620b","abstract_canon_sha256":"eade0a6367e683a61a30d0db41c79d9869e92f1ad917e20435e1ce6502eaab7d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:34.495019Z","signature_b64":"LLTtAqsCMpQWXZfXoFkigB6m0sokhNmw08p7Ys31r2dumofWzPtYTJ3HGrSwgz+0UvyoMn7arfTKHkERu8bHCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"940505b873dcad7fb54b0b79574d83501f754e27c941a2b3c1d2b7b3cf625194","last_reissued_at":"2026-05-18T03:13:34.494508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:34.494508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Proof of Caldararu's conjecture. An appendix to a paper by Yoshioka","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Huybrechts, Paolo Stellari","submitted_at":"2004-11-24T09:53:26Z","abstract_excerpt":"We show that any orientation preserving Hodge isometry between the Hodge structures of two K3 surfaces X and X' twisted by Brauer classes $\\alpha$ resp. $\\alpha'$ can be lifted to a Fourier-Mukai equivalence between the derived categories of $\\alpha$ resp. $\\alpha'$-twisted sheaves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0411541","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":"math/0411541","created_at":"2026-05-18T03:13:34.494586+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0411541v2","created_at":"2026-05-18T03:13:34.494586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0411541","created_at":"2026-05-18T03:13:34.494586+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQCQLODT3SWX","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQCQLODT3SWX7NKL","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQCQLODT","created_at":"2026-05-18T12:25:52.687210+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/SQCQLODT3SWX7NKLBN4VOTMDKA","json":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA.json","graph_json":"https://pith.science/api/pith-number/SQCQLODT3SWX7NKLBN4VOTMDKA/graph.json","events_json":"https://pith.science/api/pith-number/SQCQLODT3SWX7NKLBN4VOTMDKA/events.json","paper":"https://pith.science/paper/SQCQLODT"},"agent_actions":{"view_html":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA","download_json":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA.json","view_paper":"https://pith.science/paper/SQCQLODT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0411541&json=true","fetch_graph":"https://pith.science/api/pith-number/SQCQLODT3SWX7NKLBN4VOTMDKA/graph.json","fetch_events":"https://pith.science/api/pith-number/SQCQLODT3SWX7NKLBN4VOTMDKA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA/action/storage_attestation","attest_author":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA/action/author_attestation","sign_citation":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA/action/citation_signature","submit_replication":"https://pith.science/pith/SQCQLODT3SWX7NKLBN4VOTMDKA/action/replication_record"}},"created_at":"2026-05-18T03:13:34.494586+00:00","updated_at":"2026-05-18T03:13:34.494586+00:00"}