{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:XHU2MGMSHVHRH3ZCMMODJIOOYT","short_pith_number":"pith:XHU2MGMS","canonical_record":{"source":{"id":"1309.2798","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-09-11T12:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"4742d52cd3592fbd9471fe95d16f5b80f89d678a0dbfbd9a35288be5e084db93","abstract_canon_sha256":"121ece3414cd68a00f13398c31288baa9126d64c1f5dec295e30790650cc9763"},"schema_version":"1.0"},"canonical_sha256":"b9e9a619923d4f13ef22631c34a1cec4dc0287c66b4b278c00b528d929ca95f0","source":{"kind":"arxiv","id":"1309.2798","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2798","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2798v4","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2798","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"pith_short_12","alias_value":"XHU2MGMSHVHR","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XHU2MGMSHVHRH3ZC","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XHU2MGMS","created_at":"2026-05-18T12:28:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:XHU2MGMSHVHRH3ZCMMODJIOOYT","target":"record","payload":{"canonical_record":{"source":{"id":"1309.2798","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-09-11T12:00:49Z","cross_cats_sorted":[],"title_canon_sha256":"4742d52cd3592fbd9471fe95d16f5b80f89d678a0dbfbd9a35288be5e084db93","abstract_canon_sha256":"121ece3414cd68a00f13398c31288baa9126d64c1f5dec295e30790650cc9763"},"schema_version":"1.0"},"canonical_sha256":"b9e9a619923d4f13ef22631c34a1cec4dc0287c66b4b278c00b528d929ca95f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:47:21.445832Z","signature_b64":"KZbA8VXAnwo26ULSNJ94tO01SrV47a9KpKC40nAlwL9nIJc0uktni0MJI2YrjvXfErdBFpDmgpYiMpAHRF09DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9e9a619923d4f13ef22631c34a1cec4dc0287c66b4b278c00b528d929ca95f0","last_reissued_at":"2026-05-18T00:47:21.445310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:47:21.445310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.2798","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E5zPpVFmQ5JhX2Q4xlNjs1QqBVhXT3VJYhXlcrg4xXYSGapVjNAZGcAIRAlitKVr6bEajDtwz3iphtwm5UgRCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:00:56.193341Z"},"content_sha256":"6510a81685e3a70063a27cbe6fc8f118c95e399ff7e8fd5c33252a576a81ad48","schema_version":"1.0","event_id":"sha256:6510a81685e3a70063a27cbe6fc8f118c95e399ff7e8fd5c33252a576a81ad48"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:XHU2MGMSHVHRH3ZCMMODJIOOYT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A semi-potential for finite and infinite sequential games","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.GT","authors_text":"Arno Pauly, St\\'ephane Le Roux","submitted_at":"2013-09-11T12:00:49Z","abstract_excerpt":"We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding restriction of better-response dynamics will converge to a Nash equilibrium in quadratic (finite) time. Convergence happens on a per-player basis, and even in the presence of players with cyclic preferences, the players with acyclic preferences will stabilize. Thus, we obtain a candidate notion for rationality in the presence of irrational agents. Moreover, the r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2798","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:47:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7a6i15s8RvrnstTX9x4P5Dq2mmD1qzWlhpSy5mAik7WSggGT1VweQV0hY2C7MHmkhsImq9w59t7y27qFl9vCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T15:00:56.193694Z"},"content_sha256":"112afd9b951d6479757304e65cd0f664cbf6e97a998abcd27ac6812703b91ef4","schema_version":"1.0","event_id":"sha256:112afd9b951d6479757304e65cd0f664cbf6e97a998abcd27ac6812703b91ef4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/bundle.json","state_url":"https://pith.science/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-02T15:00:56Z","links":{"resolver":"https://pith.science/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT","bundle":"https://pith.science/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/bundle.json","state":"https://pith.science/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XHU2MGMSHVHRH3ZCMMODJIOOYT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:XHU2MGMSHVHRH3ZCMMODJIOOYT","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":"121ece3414cd68a00f13398c31288baa9126d64c1f5dec295e30790650cc9763","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-09-11T12:00:49Z","title_canon_sha256":"4742d52cd3592fbd9471fe95d16f5b80f89d678a0dbfbd9a35288be5e084db93"},"schema_version":"1.0","source":{"id":"1309.2798","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.2798","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"arxiv_version","alias_value":"1309.2798v4","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.2798","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"pith_short_12","alias_value":"XHU2MGMSHVHR","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"XHU2MGMSHVHRH3ZC","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"XHU2MGMS","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:112afd9b951d6479757304e65cd0f664cbf6e97a998abcd27ac6812703b91ef4","target":"graph","created_at":"2026-05-18T00:47:21Z","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":"We consider a dynamical approach to game in extensive forms. By restricting the convertibility relation over strategy profiles, we obtain a semi-potential (in the sense of Kukushkin), and we show that in finite games the corresponding restriction of better-response dynamics will converge to a Nash equilibrium in quadratic (finite) time. Convergence happens on a per-player basis, and even in the presence of players with cyclic preferences, the players with acyclic preferences will stabilize. Thus, we obtain a candidate notion for rationality in the presence of irrational agents. Moreover, the r","authors_text":"Arno Pauly, St\\'ephane Le Roux","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-09-11T12:00:49Z","title":"A semi-potential for finite and infinite sequential games"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.2798","kind":"arxiv","version":4},"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":"sha256:6510a81685e3a70063a27cbe6fc8f118c95e399ff7e8fd5c33252a576a81ad48","target":"record","created_at":"2026-05-18T00:47:21Z","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":"121ece3414cd68a00f13398c31288baa9126d64c1f5dec295e30790650cc9763","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.GT","submitted_at":"2013-09-11T12:00:49Z","title_canon_sha256":"4742d52cd3592fbd9471fe95d16f5b80f89d678a0dbfbd9a35288be5e084db93"},"schema_version":"1.0","source":{"id":"1309.2798","kind":"arxiv","version":4}},"canonical_sha256":"b9e9a619923d4f13ef22631c34a1cec4dc0287c66b4b278c00b528d929ca95f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9e9a619923d4f13ef22631c34a1cec4dc0287c66b4b278c00b528d929ca95f0","first_computed_at":"2026-05-18T00:47:21.445310Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:21.445310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KZbA8VXAnwo26ULSNJ94tO01SrV47a9KpKC40nAlwL9nIJc0uktni0MJI2YrjvXfErdBFpDmgpYiMpAHRF09DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:21.445832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.2798","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6510a81685e3a70063a27cbe6fc8f118c95e399ff7e8fd5c33252a576a81ad48","sha256:112afd9b951d6479757304e65cd0f664cbf6e97a998abcd27ac6812703b91ef4"],"state_sha256":"4a672f5280c3e85bababc82c3226fc311e1ce660347cb9bf67bb8de13b0b1e7e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4BCbjchokJkrecHA1umI8BePeQYAygbN47/TjkzR0Ows6ZGzlkdgid8Nxk8fnp0IzEhj42FUDdL0SyKX/jZyDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T15:00:56.196746Z","bundle_sha256":"ef32dfa50a892c1427713ea08dd4a12e49c1ce31ef4810888691be2672ebe890"}}