{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:WDFZCMIYFYLHKLA3JMO2KLIWIB","short_pith_number":"pith:WDFZCMIY","schema_version":"1.0","canonical_sha256":"b0cb9131182e16752c1b4b1da52d1640489132ede7c8fe5d7eaef0ebd3d53d2d","source":{"kind":"arxiv","id":"1309.6528","version":4},"attestation_state":"computed","paper":{"title":"On derived categories of K3 surfaces, symplectic automorphisms and the Conway group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Huybrechts","submitted_at":"2013-09-25T14:44:41Z","abstract_excerpt":"In this note we interpret a recent result of Gaberdiel, Hohenegger and Volpato in terms of derived equivalences of K3 surfaces. We prove that there is a natural bijection between subgroups of the Conway group Co_1 with invariant lattice of rank at least four and groups of symplectic derived equivalences of D(Coh(X)) of projective K3 surfaces fixing a stability condition."},"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":"1309.6528","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-09-25T14:44:41Z","cross_cats_sorted":[],"title_canon_sha256":"aa14772d5386f4eda9c549e156480e0121717fe95020140f21f34259161856a0","abstract_canon_sha256":"a284d8a592f187e99db7739f4c5974375d9dff766fb7984a9a16350b2e046090"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:16.476861Z","signature_b64":"PoMfNO3EruhiR0n498mhKXSB+zkwBnaF/JHCP4s10mQTbyaHO/FdzkiDuCafCdJWYvlMPpvWBoDcq/aodgOrCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0cb9131182e16752c1b4b1da52d1640489132ede7c8fe5d7eaef0ebd3d53d2d","last_reissued_at":"2026-05-18T02:43:16.476433Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:16.476433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On derived categories of K3 surfaces, symplectic automorphisms and the Conway group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Daniel Huybrechts","submitted_at":"2013-09-25T14:44:41Z","abstract_excerpt":"In this note we interpret a recent result of Gaberdiel, Hohenegger and Volpato in terms of derived equivalences of K3 surfaces. We prove that there is a natural bijection between subgroups of the Conway group Co_1 with invariant lattice of rank at least four and groups of symplectic derived equivalences of D(Coh(X)) of projective K3 surfaces fixing a stability condition."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6528","kind":"arxiv","version":4},"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":"1309.6528","created_at":"2026-05-18T02:43:16.476498+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.6528v4","created_at":"2026-05-18T02:43:16.476498+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6528","created_at":"2026-05-18T02:43:16.476498+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDFZCMIYFYLH","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDFZCMIYFYLHKLA3","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDFZCMIY","created_at":"2026-05-18T12:28:04.890932+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/WDFZCMIYFYLHKLA3JMO2KLIWIB","json":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB.json","graph_json":"https://pith.science/api/pith-number/WDFZCMIYFYLHKLA3JMO2KLIWIB/graph.json","events_json":"https://pith.science/api/pith-number/WDFZCMIYFYLHKLA3JMO2KLIWIB/events.json","paper":"https://pith.science/paper/WDFZCMIY"},"agent_actions":{"view_html":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB","download_json":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB.json","view_paper":"https://pith.science/paper/WDFZCMIY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.6528&json=true","fetch_graph":"https://pith.science/api/pith-number/WDFZCMIYFYLHKLA3JMO2KLIWIB/graph.json","fetch_events":"https://pith.science/api/pith-number/WDFZCMIYFYLHKLA3JMO2KLIWIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB/action/storage_attestation","attest_author":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB/action/author_attestation","sign_citation":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB/action/citation_signature","submit_replication":"https://pith.science/pith/WDFZCMIYFYLHKLA3JMO2KLIWIB/action/replication_record"}},"created_at":"2026-05-18T02:43:16.476498+00:00","updated_at":"2026-05-18T02:43:16.476498+00:00"}