{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:YVPY7BVJB7FET5MKAN3BHBQ2MJ","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":"86b11fde540351b3d46f021aaf54c7378f175ebff94e7029af39ab402b802474","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-19T23:54:17Z","title_canon_sha256":"4c2106869c34f23950bc344ada9ecb5d7bd110af7cadd834293bbd36509bffca"},"schema_version":"1.0","source":{"id":"alg-geom/9506012","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9506012","created_at":"2026-07-04T15:08:04Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9506012v1","created_at":"2026-07-04T15:08:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9506012","created_at":"2026-07-04T15:08:04Z"},{"alias_kind":"pith_short_12","alias_value":"YVPY7BVJB7FE","created_at":"2026-07-04T15:08:04Z"},{"alias_kind":"pith_short_16","alias_value":"YVPY7BVJB7FET5MK","created_at":"2026-07-04T15:08:04Z"},{"alias_kind":"pith_short_8","alias_value":"YVPY7BVJ","created_at":"2026-07-04T15:08:04Z"}],"graph_snapshots":[{"event_id":"sha256:7376536f3efe2221d9f47f8d29a1bfac09562fa392ad51f909c6b0505ac4e7c5","target":"graph","created_at":"2026-07-04T15:08:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/alg-geom/9506012/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A criterion for a functor between derived categories of coherent sheaves to be full and faithful is given. A semiorthogonal decomposition for the derived category of coherent sheaves on the intersection of two even dimensional quadrics is obtained. The behaviour of derived categories with respect to birational transformations is investigated. A theorem about reconstruction of a variety from the derived category of coherent sheaves is proved.","authors_text":"A.Bondal, D.Orlov","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1995-06-19T23:54:17Z","title":"Semiorthogonal decomposition for algebraic varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9506012","kind":"arxiv","version":1},"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:a6c8103c4ee64d8e91790a089dd3667ab806a0399bdc5f6934a8432a4fe01710","target":"record","created_at":"2026-07-04T15:08:04Z","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":"86b11fde540351b3d46f021aaf54c7378f175ebff94e7029af39ab402b802474","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1995-06-19T23:54:17Z","title_canon_sha256":"4c2106869c34f23950bc344ada9ecb5d7bd110af7cadd834293bbd36509bffca"},"schema_version":"1.0","source":{"id":"alg-geom/9506012","kind":"arxiv","version":1}},"canonical_sha256":"c55f8f86a90fca49f58a037613861a6278823333da4513d3da66627faa29bf7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c55f8f86a90fca49f58a037613861a6278823333da4513d3da66627faa29bf7a","first_computed_at":"2026-07-04T15:08:04.723601Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:08:04.723601Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"b9+4UtK2YScyX2dHzKYy0soNFVI4e+uX4r/EeAYh1z9xIeoBr0qe8orNLXJIDRm5EuBHXjXNyWj6hEYyWT9SAw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:08:04.723992Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9506012","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6c8103c4ee64d8e91790a089dd3667ab806a0399bdc5f6934a8432a4fe01710","sha256:7376536f3efe2221d9f47f8d29a1bfac09562fa392ad51f909c6b0505ac4e7c5"],"state_sha256":"003a0424f779bc79daeaef1d539e38ab997622f535ac914323a6e1f9a525373c"}