{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:674JUVVQCXJLVWZ3HJSONGHG6X","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":"aaf35c65f7a90afd3198f343ea8593e581fd587c2030fa2b55cd519a7af6ede8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-27T05:15:58Z","title_canon_sha256":"19eb3f3f59e99d235ce36147c7e4a86c2cf8c227422f9e348017aff74ccefb04"},"schema_version":"1.0","source":{"id":"1501.06657","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06657","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06657v2","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06657","created_at":"2026-05-18T01:26:31Z"},{"alias_kind":"pith_short_12","alias_value":"674JUVVQCXJL","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"674JUVVQCXJLVWZ3","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"674JUVVQ","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:f1f2569327a95ad6c38583cfa31f31ebf5380fa075534b86e020cb673c275b75","target":"graph","created_at":"2026-05-18T01:26:31Z","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 study the group of autoequivalences of the derived categories of coherent sheaves on smooth projective elliptic surfaces with non-zero Kodaira dimensions. We find a description of it when each reducible fiber is a cycle of $(-2)$-curves.","authors_text":"Hokuto Uehara","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-27T05:15:58Z","title":"Autoequivalences of derived categories of elliptic surfaces with non-zero Kodaira dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06657","kind":"arxiv","version":2},"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":"sha256:08e240d2b2d9a5c5870f54c297c86baa7c176a239c0665de2e26417045c29148","target":"record","created_at":"2026-05-18T01:26:31Z","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":"aaf35c65f7a90afd3198f343ea8593e581fd587c2030fa2b55cd519a7af6ede8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-27T05:15:58Z","title_canon_sha256":"19eb3f3f59e99d235ce36147c7e4a86c2cf8c227422f9e348017aff74ccefb04"},"schema_version":"1.0","source":{"id":"1501.06657","kind":"arxiv","version":2}},"canonical_sha256":"f7f89a56b015d2badb3b3a64e698e6f5f910e444de8a7528e4a686f211e85c25","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f7f89a56b015d2badb3b3a64e698e6f5f910e444de8a7528e4a686f211e85c25","first_computed_at":"2026-05-18T01:26:31.716733Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:26:31.716733Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SfdMv75k/xD9/RUyOu21hp3v4/u5v1MlVdJKCkRofcQURjWvGH/rO/YGwLJPw+8IYp7i1gR+qKuTpfWWGokvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:26:31.717459Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06657","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08e240d2b2d9a5c5870f54c297c86baa7c176a239c0665de2e26417045c29148","sha256:f1f2569327a95ad6c38583cfa31f31ebf5380fa075534b86e020cb673c275b75"],"state_sha256":"6cdca0e067aff080972781c622072628fc0395a761415d61205e05746fe7ed2d"}