{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:PYGUB6HJY45HCEJ2UGASHD2ODD","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":"7423665542d69b0bb761e34345179096f2bde1c2e4c13bcfae276911c3c9406d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-17T22:09:08Z","title_canon_sha256":"2a5086acbe01afc3e5e0fb6601cb692799909917a90cbc34dec8d63b6792dfc2"},"schema_version":"1.0","source":{"id":"2302.09158","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2302.09158","created_at":"2026-07-05T07:49:59Z"},{"alias_kind":"arxiv_version","alias_value":"2302.09158v2","created_at":"2026-07-05T07:49:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2302.09158","created_at":"2026-07-05T07:49:59Z"},{"alias_kind":"pith_short_12","alias_value":"PYGUB6HJY45H","created_at":"2026-07-05T07:49:59Z"},{"alias_kind":"pith_short_16","alias_value":"PYGUB6HJY45HCEJ2","created_at":"2026-07-05T07:49:59Z"},{"alias_kind":"pith_short_8","alias_value":"PYGUB6HJ","created_at":"2026-07-05T07:49:59Z"}],"graph_snapshots":[{"event_id":"sha256:c4c9b045dc1e728b10ee740a020690389d971a570a51a256fac4060f1726834a","target":"graph","created_at":"2026-07-05T07:49:59Z","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/2302.09158/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove that for any normal toric variety, the Rouquier dimension of its bounded derived category of coherent sheaves is equal to its Krull dimension. Our proof uses the coherent-constructible correspondence to translate the problem into the study of Rouquier dimension for certain categories of constructible sheaves.","authors_text":"David Favero, Jesse Huang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-17T22:09:08Z","title":"Rouquier dimension is Krull dimension for normal toric varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2302.09158","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:f8d541b2ac152bbc91d155ce19b938dfa1013397524f93db8b86ea9b915f0b4f","target":"record","created_at":"2026-07-05T07:49:59Z","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":"7423665542d69b0bb761e34345179096f2bde1c2e4c13bcfae276911c3c9406d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2023-02-17T22:09:08Z","title_canon_sha256":"2a5086acbe01afc3e5e0fb6601cb692799909917a90cbc34dec8d63b6792dfc2"},"schema_version":"1.0","source":{"id":"2302.09158","kind":"arxiv","version":2}},"canonical_sha256":"7e0d40f8e9c73a71113aa181238f4e18e5e963cf1bda4de8e65d65066aa9cc62","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e0d40f8e9c73a71113aa181238f4e18e5e963cf1bda4de8e65d65066aa9cc62","first_computed_at":"2026-07-05T07:49:59.980592Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:49:59.980592Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EKwUXgbk4KTUQangd28i+nISNEH3RWxEJgTgxp+04b0nMuVIqI+6yLicsxT3EPThaautZzE7dNvLSLW2yoBDAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:49:59.980950Z","signed_message":"canonical_sha256_bytes"},"source_id":"2302.09158","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f8d541b2ac152bbc91d155ce19b938dfa1013397524f93db8b86ea9b915f0b4f","sha256:c4c9b045dc1e728b10ee740a020690389d971a570a51a256fac4060f1726834a"],"state_sha256":"fc0c3141b872eebf19a1325d987eb41e538ce3e8e5c63c4e5b3642fa9a1785b6"}