{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:VV3A2IH2Y6P22J3NZKXKOIOLH4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d51a4aa389c410a4a1753dfd0146b99fd468b1e2afa56a0c8b1c0bce4c64b4c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-30T18:49:06Z","title_canon_sha256":"ee898d09912c47b827cc30adf7548a31c6702339ab674a39b9376123519f8225"},"schema_version":"1.0","source":{"id":"1310.8266","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.8266","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"1310.8266v3","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.8266","created_at":"2026-05-18T00:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"VV3A2IH2Y6P2","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_16","alias_value":"VV3A2IH2Y6P22J3N","created_at":"2026-05-18T12:28:04Z"},{"alias_kind":"pith_short_8","alias_value":"VV3A2IH2","created_at":"2026-05-18T12:28:04Z"}],"graph_snapshots":[{"event_id":"sha256:8fe3352f9891a23237b89167107696b6c4e8bdb54024ca1257dee0eebaf2fb44","target":"graph","created_at":"2026-05-18T00:50:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We give a complete description of the group of exact autoequivalences of the bounded derived category of coherent sheaves on a K3 surface of Picard rank 1. We do this by proving that a distinguished connected component of the space of stability conditions is preserved by all autoequivalences, and is contractible.","authors_text":"Arend Bayer, Tom Bridgeland","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-30T18:49:06Z","title":"Derived automorphism groups of K3 surfaces of Picard rank 1"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.8266","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3d3e2ee5e05dc7e29ea6b0ea0ebcb9f114447ff7d9828c8f465e3b67518cd0bb","target":"record","created_at":"2026-05-18T00:50:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d51a4aa389c410a4a1753dfd0146b99fd468b1e2afa56a0c8b1c0bce4c64b4c3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-10-30T18:49:06Z","title_canon_sha256":"ee898d09912c47b827cc30adf7548a31c6702339ab674a39b9376123519f8225"},"schema_version":"1.0","source":{"id":"1310.8266","kind":"arxiv","version":3}},"canonical_sha256":"ad760d20fac79fad276dcaaea721cb3f1042fda03202c5986064391453aff015","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad760d20fac79fad276dcaaea721cb3f1042fda03202c5986064391453aff015","first_computed_at":"2026-05-18T00:50:23.659763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:23.659763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JsV/coyjDs54ds75MXMBrf5N/DJh4i1WZuE8TfjlhoQKKshDHguk5z47YoowRRCiNGSSu3Wnb8+5mxeN2pw2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:23.660637Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.8266","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d3e2ee5e05dc7e29ea6b0ea0ebcb9f114447ff7d9828c8f465e3b67518cd0bb","sha256:8fe3352f9891a23237b89167107696b6c4e8bdb54024ca1257dee0eebaf2fb44"],"state_sha256":"71e1cab85e1237bde244ba24c2889e5579cf61d3e1a9179fe7436c05ab5fc4c7"}