{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EWH3RHWHDTZAOASIICMTHKL3BJ","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":"6986f3374a4013ee3d8d575e87db0c38a4606eb1ce87ee23e13fbfa0d10a8cee","cross_cats_sorted":["cs.GT","cs.LG","econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-08T17:59:00Z","title_canon_sha256":"0689550b67b0b6d636784969dcb4da45795af92d442cfab592e60e0b4d129cf6"},"schema_version":"1.0","source":{"id":"2608.08268","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.08268","created_at":"2026-08-11T01:22:10Z"},{"alias_kind":"arxiv_version","alias_value":"2608.08268v1","created_at":"2026-08-11T01:22:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.08268","created_at":"2026-08-11T01:22:10Z"},{"alias_kind":"pith_short_12","alias_value":"EWH3RHWHDTZA","created_at":"2026-08-11T01:22:10Z"},{"alias_kind":"pith_short_16","alias_value":"EWH3RHWHDTZAOASI","created_at":"2026-08-11T01:22:10Z"},{"alias_kind":"pith_short_8","alias_value":"EWH3RHWH","created_at":"2026-08-11T01:22:10Z"}],"graph_snapshots":[{"event_id":"sha256:f21e0ca5024720387fb0c0e8fcbffdcd2107e50a5800334110d7cc4e1975ce2d","target":"graph","created_at":"2026-08-11T01:22:10Z","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/2608.08268/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"As firms increasingly deploy machine learning for strategic decision-making, understanding algorithmic interactions has become central to operations research and economics. This paper studies learning in infinite-horizon, nonzero-sum linear-quadratic stochastic games under a radically uncoupled information structure, where players are either unaware of opponents or strategically oblivious, observing only a common state and their own action history. Under this minimal information, we analyze an asynchronous decentralized learning process in which each player independently runs a single-agent $\\","authors_text":"Dantong Chu, Xuefeng Gao, Yufei Zhang","cross_cats":["cs.GT","cs.LG","econ.TH"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-08T17:59:00Z","title":"Learning under Opponent Unawareness in Linear-Quadratic Stochastic Games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.08268","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":"sha256:742cff89e0acb89dd0efe5e5a4c5129646cda3de4adc2804317aadaab88677a4","target":"record","created_at":"2026-08-11T01:22:10Z","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":"6986f3374a4013ee3d8d575e87db0c38a4606eb1ce87ee23e13fbfa0d10a8cee","cross_cats_sorted":["cs.GT","cs.LG","econ.TH"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2026-08-08T17:59:00Z","title_canon_sha256":"0689550b67b0b6d636784969dcb4da45795af92d442cfab592e60e0b4d129cf6"},"schema_version":"1.0","source":{"id":"2608.08268","kind":"arxiv","version":1}},"canonical_sha256":"258fb89ec71cf2070248409933a97b0a4aa617ead1041e021a8f755c9833fe60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"258fb89ec71cf2070248409933a97b0a4aa617ead1041e021a8f755c9833fe60","first_computed_at":"2026-08-11T01:22:10.319772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-11T01:22:10.319772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fy1VTQFLR5YrCpLpUinPs5ye3/XWjNmtXjPRbJ+qRp7Umd9dsuahclolpX33w7NqBZp6q3xTJZ1HtFhnzXPyDg==","signature_status":"signed_v1","signed_at":"2026-08-11T01:22:10.322336Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.08268","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:742cff89e0acb89dd0efe5e5a4c5129646cda3de4adc2804317aadaab88677a4","sha256:f21e0ca5024720387fb0c0e8fcbffdcd2107e50a5800334110d7cc4e1975ce2d"],"state_sha256":"fbc7959f6aaf8eb11629dd9ccd2c25d1ee589a549027ef5746e8bacedb9b6d02"}