{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SWUM4L4FQJBDHSHVTC2P6RDF5D","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":"29aa9a1446fbbadaef70ceaf1ff4f1cc6fc1e939be60ace02f83ea395718fe4b","cross_cats_sorted":["cs.CC","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-07-16T13:12:46Z","title_canon_sha256":"1d1fac875e9afb78ee618b99340773fc2a57d2d116476d3034d8c980e068cf5c"},"schema_version":"1.0","source":{"id":"1407.4293","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4293","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4293v2","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4293","created_at":"2026-05-18T02:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"SWUM4L4FQJBD","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SWUM4L4FQJBDHSHV","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SWUM4L4F","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:74cc63173633cd0573aa4d0e5b61e6d0cac1329e41b4050bd6bb67a2bd2643e8","target":"graph","created_at":"2026-05-18T02:29:45Z","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":"Unique Sink Orientations (USOs) are an appealing abstraction of several major optimization problems of applied mathematics such as for instance Linear Programming (LP), Markov Decision Processes (MDPs) or 2-player Turn Based Stochastic Games (2TBSGs). A polynomial time algorithm to find the sink of a USO would translate into a strongly polynomial time algorithm to solve the aforementioned problems---a major quest for all three cases. In addition, we may translate MDPs and 2TBSGs into the problem of finding the sink of an acyclic USO of a cube, which can be done using the well-known Policy Iter","authors_text":"Bal\\'azs Gerencs\\'er, Jean-Charles Delvenne, Rapha\\\"el M. Jungers, Romain Hollanders","cross_cats":["cs.CC","math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-07-16T13:12:46Z","title":"A complexity analysis of Policy Iteration through combinatorial matrices arising from Unique Sink Orientations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4293","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":"sha256:1cc4b992ec9712afaaf35ab2861742d6966eb926baeefde30786e7801d8d8a1a","target":"record","created_at":"2026-05-18T02:29:45Z","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":"29aa9a1446fbbadaef70ceaf1ff4f1cc6fc1e939be60ace02f83ea395718fe4b","cross_cats_sorted":["cs.CC","math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DM","submitted_at":"2014-07-16T13:12:46Z","title_canon_sha256":"1d1fac875e9afb78ee618b99340773fc2a57d2d116476d3034d8c980e068cf5c"},"schema_version":"1.0","source":{"id":"1407.4293","kind":"arxiv","version":2}},"canonical_sha256":"95a8ce2f85824233c8f598b4ff4465e8d6fa9812b7d05fc52a086af232fe84d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95a8ce2f85824233c8f598b4ff4465e8d6fa9812b7d05fc52a086af232fe84d5","first_computed_at":"2026-05-18T02:29:45.447881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:45.447881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IJW6nTQCN5V4NxIHdhrGe64UUi2yRxRcZN+rynfFiWM0GCCmpAt3YY2w+Sxj2a6s8tyJxJWQ1CNsgQ40sGGOCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:45.448287Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.4293","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1cc4b992ec9712afaaf35ab2861742d6966eb926baeefde30786e7801d8d8a1a","sha256:74cc63173633cd0573aa4d0e5b61e6d0cac1329e41b4050bd6bb67a2bd2643e8"],"state_sha256":"b779dada759f32cffe8eac89f7aaddfa65f6d7640752f7d8cedaefe87a355459"}