{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LNASORVT3CKFRNQOEQI2QOWQV7","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":"a9ccd7f110c226f1505c19d18d5f0150dd09b8733704e5565b5845b534bbb243","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-04-26T11:56:08Z","title_canon_sha256":"ec09cde9541c6f714303b594c8fded32eab176f57c7ec3a7b3378e66c27e443e"},"schema_version":"1.0","source":{"id":"1604.07634","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07634","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07634v1","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07634","created_at":"2026-05-18T01:16:12Z"},{"alias_kind":"pith_short_12","alias_value":"LNASORVT3CKF","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LNASORVT3CKFRNQO","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LNASORVT","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:6ef9f912ae8c886eece9281fb7e19b2ebf4f41bf64acf345f81cf01592fcac3e","target":"graph","created_at":"2026-05-18T01:16:12Z","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":"In this paper we study how to play (stochastic) games optimally using little space. We focus on repeated games with absorbing states, a type of two-player, zero-sum concurrent mean-payoff games. The prototypical example of these games is the well known Big Match of Gillete (1957). These games may not allow optimal strategies but they always have {\\epsilon}-optimal strategies. In this paper we design {\\epsilon}-optimal strategies for Player 1 in these games that use only O(log log T ) space. Furthermore, we construct strategies for Player 1 that use space s(T), for an arbitrary small unbounded ","authors_text":"Kristoffer Arnsfelt Hansen, Michal Kouck\\'y, Rasmus Ibsen-Jensen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-04-26T11:56:08Z","title":"The Big Match in Small Space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07634","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":"sha256:850f22533e455bdde2484568779d82960cd218ceb78544423fa419cfbc32159a","target":"record","created_at":"2026-05-18T01:16:12Z","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":"a9ccd7f110c226f1505c19d18d5f0150dd09b8733704e5565b5845b534bbb243","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2016-04-26T11:56:08Z","title_canon_sha256":"ec09cde9541c6f714303b594c8fded32eab176f57c7ec3a7b3378e66c27e443e"},"schema_version":"1.0","source":{"id":"1604.07634","kind":"arxiv","version":1}},"canonical_sha256":"5b412746b3d89458b60e2411a83ad0afeaa1a600a4b57993f58c66b671f3e974","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b412746b3d89458b60e2411a83ad0afeaa1a600a4b57993f58c66b671f3e974","first_computed_at":"2026-05-18T01:16:12.467539Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:12.467539Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"C+QcBlX3UzKwG4KEoVGiKoWaFXqpFeyfvJXrbx3q6QYoIQYfguNnvVqlvvbk+GCZaKN5n5hV1BXT12SczBDqCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:12.468243Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07634","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:850f22533e455bdde2484568779d82960cd218ceb78544423fa419cfbc32159a","sha256:6ef9f912ae8c886eece9281fb7e19b2ebf4f41bf64acf345f81cf01592fcac3e"],"state_sha256":"8f95a7758c8e3105f5384e664bc163e01faab1d163b2e36aa1a2843e24b08f83"}