{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5E3K4PVEKUJCBLLKTUPQQZBHNF","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":"c7c3a9f7dc8ec323eb9221c6da12b053c2caf33974d4d95207d47c19cadaf254","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-07T10:12:01Z","title_canon_sha256":"366b59e054b1f351a937cf9777582cdb7d81cab78a64fda24ea875bce66caf0f"},"schema_version":"1.0","source":{"id":"2501.03668","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.03668","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"arxiv_version","alias_value":"2501.03668v1","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.03668","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_12","alias_value":"5E3K4PVEKUJC","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_16","alias_value":"5E3K4PVEKUJCBLLK","created_at":"2026-07-05T09:57:58Z"},{"alias_kind":"pith_short_8","alias_value":"5E3K4PVE","created_at":"2026-07-05T09:57:58Z"}],"graph_snapshots":[{"event_id":"sha256:b369c575e9f38417cb356184a8cd83dd9c86880de68386f8a70869f37e8ddee9","target":"graph","created_at":"2026-07-05T09:57:58Z","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/2501.03668/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the spatiotemporal Markov decision process (STMDP), a special type of Markov decision process that models sequential decision-making problems which are not only characterized by temporal, but also by spatial interaction structures. To illustrate the framework, we construct an STMDP inspired by the low-temperature two-dimensional Ising model on a finite, square lattice, evolving according to the Metropolis dynamics. We consider the situation in which an external decision maker aims to drive the system towards the all-plus configuration by flipping spins at specified moments in time","authors_text":"M.C. de Jongh, M.N.M. van Lieshout, Richard J. Boucherie","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-07T10:12:01Z","title":"Controlling the low-temperature Ising model using spatiotemporal Markov decision theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03668","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:f3911270e636c89215a1bfd5290c2611d0b2cf39bd26f6dbd8fed64b94f5fa66","target":"record","created_at":"2026-07-05T09:57:58Z","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":"c7c3a9f7dc8ec323eb9221c6da12b053c2caf33974d4d95207d47c19cadaf254","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2025-01-07T10:12:01Z","title_canon_sha256":"366b59e054b1f351a937cf9777582cdb7d81cab78a64fda24ea875bce66caf0f"},"schema_version":"1.0","source":{"id":"2501.03668","kind":"arxiv","version":1}},"canonical_sha256":"e936ae3ea4551220ad6a9d1f086427697748512232a4545c28e463f4f7bd138d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e936ae3ea4551220ad6a9d1f086427697748512232a4545c28e463f4f7bd138d","first_computed_at":"2026-07-05T09:57:58.177907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:57:58.177907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6z34ryYCsZCrwc0+T5r//nQQvxKlKVxRP5QBYsJO1b/b1CmwoJffQPYu72TPGPX1YXLFoa/6AdL8wrKGzfNVCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:57:58.178376Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.03668","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f3911270e636c89215a1bfd5290c2611d0b2cf39bd26f6dbd8fed64b94f5fa66","sha256:b369c575e9f38417cb356184a8cd83dd9c86880de68386f8a70869f37e8ddee9"],"state_sha256":"3adf762e28f46acb114e7275b25ec76a6e4de81ef4670fca4eb7a40bdf87ab73"}