{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:N3UGAYTH4FU3W7RAUWCECXJDBL","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":"4102f0df36be38f630daeb5ba35f6e74e9d7eeb596414ed12693bc9243446fb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-30T18:38:17Z","title_canon_sha256":"ace7df2a5234c42f3d459d0f09de0a8c535df613df8164a170ca2e17afec6273"},"schema_version":"1.0","source":{"id":"2301.13168","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2301.13168","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"arxiv_version","alias_value":"2301.13168v2","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2301.13168","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_12","alias_value":"N3UGAYTH4FU3","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_16","alias_value":"N3UGAYTH4FU3W7RA","created_at":"2026-07-05T08:00:58Z"},{"alias_kind":"pith_short_8","alias_value":"N3UGAYTH","created_at":"2026-07-05T08:00:58Z"}],"graph_snapshots":[{"event_id":"sha256:bb7357a1c875959435865cee86582a1fbfb7b92e2651d542fb273ae02e37d584","target":"graph","created_at":"2026-07-05T08:00:58Z","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/2301.13168/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This note aims to clarify the deep relationship between birational modifications of a variety and semiorthogonal decompositions of its derived category of coherent sheaves. The result is a conjecture on the existence and properties of canonical semiorthogonal decompositions, which is a noncommutative analog of the minimal model program. We identify a mechanism for constructing semiorthogonal decompositions using Bridgeland stability conditions, and we propose that through this mechanism the quantum differential equation of the variety controls the conjectured semiorthogonal decompositions. We ","authors_text":"Daniel Halpern-Leistner","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-30T18:38:17Z","title":"The noncommutative minimal model program"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2301.13168","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:c84942b986d73223a0c0b41ab33e572da9739767b120964a8e366b7e4306ee4c","target":"record","created_at":"2026-07-05T08:00:58Z","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":"4102f0df36be38f630daeb5ba35f6e74e9d7eeb596414ed12693bc9243446fb6","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AG","submitted_at":"2023-01-30T18:38:17Z","title_canon_sha256":"ace7df2a5234c42f3d459d0f09de0a8c535df613df8164a170ca2e17afec6273"},"schema_version":"1.0","source":{"id":"2301.13168","kind":"arxiv","version":2}},"canonical_sha256":"6ee8606267e169bb7e20a584415d230ad0b36d580bd651a426163d5dd490e765","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6ee8606267e169bb7e20a584415d230ad0b36d580bd651a426163d5dd490e765","first_computed_at":"2026-07-05T08:00:58.817429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:00:58.817429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"P204w2vMeUObeqbzrx2szvvNnSLy9Ea5v/cpLtJMb7xkOjZIOdTTOmJVPTIGamTF/Ob7e9bWaEhdBA4FZwp8Cw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:00:58.817859Z","signed_message":"canonical_sha256_bytes"},"source_id":"2301.13168","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c84942b986d73223a0c0b41ab33e572da9739767b120964a8e366b7e4306ee4c","sha256:bb7357a1c875959435865cee86582a1fbfb7b92e2651d542fb273ae02e37d584"],"state_sha256":"8af3e4d821965d0b612687732fa6fe93dd44dfc8d9e9fb7582aa9f58cbe80610"}