{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:FIJYQ6WP32EY362F3YRFU73RRD","short_pith_number":"pith:FIJYQ6WP","canonical_record":{"source":{"id":"1211.1964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-08T20:23:35Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"title_canon_sha256":"88c2d7ce0d3b13e573238371e12055eb86b664d502e458015ca32ed56898bd4f","abstract_canon_sha256":"bf3693d6bbf61e16d60220767a71dc42844bb95ae42efa9cd0e4a6fcfd29e470"},"schema_version":"1.0"},"canonical_sha256":"2a13887acfde898dfb45de225a7f7188f7c69f0c6ea762cc4e36aad15c48b71d","source":{"kind":"arxiv","id":"1211.1964","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1964","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1964v1","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1964","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"FIJYQ6WP32EY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FIJYQ6WP32EY362F","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FIJYQ6WP","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:FIJYQ6WP32EY362F3YRFU73RRD","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1964","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-08T20:23:35Z","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"title_canon_sha256":"88c2d7ce0d3b13e573238371e12055eb86b664d502e458015ca32ed56898bd4f","abstract_canon_sha256":"bf3693d6bbf61e16d60220767a71dc42844bb95ae42efa9cd0e4a6fcfd29e470"},"schema_version":"1.0"},"canonical_sha256":"2a13887acfde898dfb45de225a7f7188f7c69f0c6ea762cc4e36aad15c48b71d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:13.123004Z","signature_b64":"1VxpxVXFNsC6sdwey7OgwcbpLmcCiV6q3xjBRnss5UOMwszWt5vuqzHwFCMUCffaVKV9slsiZMq2+/H+7N1GCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2a13887acfde898dfb45de225a7f7188f7c69f0c6ea762cc4e36aad15c48b71d","last_reissued_at":"2026-05-18T03:41:13.122467Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:13.122467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1964","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:41:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EH97PN8YEZEkSKOiy/3UN1NlOz4iDz1H/31klI8B9dZS57+FqI5m8tUIeEx6MZjdqEN0zZ4fRf69m+LfnRIrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:17:14.821023Z"},"content_sha256":"3c5c6f0535c65249214faee63b5ed42128756e07728eedfda4b552733fa24216","schema_version":"1.0","event_id":"sha256:3c5c6f0535c65249214faee63b5ed42128756e07728eedfda4b552733fa24216"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:FIJYQ6WP32EY362F3YRFU73RRD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Attila Szolnoki, Gyorgy Szabo, Matjaz Perc","submitted_at":"2012-11-08T20:23:35Z","abstract_excerpt":"Spatial structure has a profound effect on the outcome of evolutionary games. In the ultimatum game, it leads to the dominance of much fairer players than those predicted to evolve in well-mixed settings. Here we show that spatiality leads to fair ultimatums only if the intervals from which the players are able to choose how much to offer and how little to accept are sufficiently fine-grained. Small sets of discrete strategies lead to the stable coexistence of the two most rational strategies in the set, while larger sets lead to the dominance of a single yet not necessarily the fairest strate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1964","kind":"arxiv","version":1},"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":"2026-05-18T03:41:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wPK9BctiMv5sFfFmVB55NtNqVp2j3fV4aFdxzCrCQfNDHQyRb0THrZAQppb6rYiqe8zdAAzvUlG5bjmqiH7rBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T19:17:14.821404Z"},"content_sha256":"b07f93f5a1e2a325a5e6a9b5c82f9431010303b74075bf4dd14619b2e784a59a","schema_version":"1.0","event_id":"sha256:b07f93f5a1e2a325a5e6a9b5c82f9431010303b74075bf4dd14619b2e784a59a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FIJYQ6WP32EY362F3YRFU73RRD/bundle.json","state_url":"https://pith.science/pith/FIJYQ6WP32EY362F3YRFU73RRD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FIJYQ6WP32EY362F3YRFU73RRD/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":"2026-05-28T19:17:14Z","links":{"resolver":"https://pith.science/pith/FIJYQ6WP32EY362F3YRFU73RRD","bundle":"https://pith.science/pith/FIJYQ6WP32EY362F3YRFU73RRD/bundle.json","state":"https://pith.science/pith/FIJYQ6WP32EY362F3YRFU73RRD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FIJYQ6WP32EY362F3YRFU73RRD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:FIJYQ6WP32EY362F3YRFU73RRD","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":"bf3693d6bbf61e16d60220767a71dc42844bb95ae42efa9cd0e4a6fcfd29e470","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-08T20:23:35Z","title_canon_sha256":"88c2d7ce0d3b13e573238371e12055eb86b664d502e458015ca32ed56898bd4f"},"schema_version":"1.0","source":{"id":"1211.1964","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1964","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1964v1","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1964","created_at":"2026-05-18T03:41:13Z"},{"alias_kind":"pith_short_12","alias_value":"FIJYQ6WP32EY","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"FIJYQ6WP32EY362F","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"FIJYQ6WP","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:b07f93f5a1e2a325a5e6a9b5c82f9431010303b74075bf4dd14619b2e784a59a","target":"graph","created_at":"2026-05-18T03:41:13Z","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":"Spatial structure has a profound effect on the outcome of evolutionary games. In the ultimatum game, it leads to the dominance of much fairer players than those predicted to evolve in well-mixed settings. Here we show that spatiality leads to fair ultimatums only if the intervals from which the players are able to choose how much to offer and how little to accept are sufficiently fine-grained. Small sets of discrete strategies lead to the stable coexistence of the two most rational strategies in the set, while larger sets lead to the dominance of a single yet not necessarily the fairest strate","authors_text":"Attila Szolnoki, Gyorgy Szabo, Matjaz Perc","cross_cats":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-08T20:23:35Z","title":"Accuracy in strategy imitations promotes the evolution of fairness in the spatial ultimatum game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1964","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":"sha256:3c5c6f0535c65249214faee63b5ed42128756e07728eedfda4b552733fa24216","target":"record","created_at":"2026-05-18T03:41:13Z","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":"bf3693d6bbf61e16d60220767a71dc42844bb95ae42efa9cd0e4a6fcfd29e470","cross_cats_sorted":["cond-mat.stat-mech","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-11-08T20:23:35Z","title_canon_sha256":"88c2d7ce0d3b13e573238371e12055eb86b664d502e458015ca32ed56898bd4f"},"schema_version":"1.0","source":{"id":"1211.1964","kind":"arxiv","version":1}},"canonical_sha256":"2a13887acfde898dfb45de225a7f7188f7c69f0c6ea762cc4e36aad15c48b71d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a13887acfde898dfb45de225a7f7188f7c69f0c6ea762cc4e36aad15c48b71d","first_computed_at":"2026-05-18T03:41:13.122467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:13.122467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1VxpxVXFNsC6sdwey7OgwcbpLmcCiV6q3xjBRnss5UOMwszWt5vuqzHwFCMUCffaVKV9slsiZMq2+/H+7N1GCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:13.123004Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1964","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c5c6f0535c65249214faee63b5ed42128756e07728eedfda4b552733fa24216","sha256:b07f93f5a1e2a325a5e6a9b5c82f9431010303b74075bf4dd14619b2e784a59a"],"state_sha256":"4a29a33b8d16bf9202d54f67700bae582ee7fa0b262e97f04e9b01462b4aab07"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"omRUZiBzKTqmbE2WSe1PDqNRcT/dWNd6/GIRZm1101XCeoMgDchccWG5WsTnBtXWNFq8IV5IpgJEghd8Rj0uCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T19:17:14.824142Z","bundle_sha256":"da96b4b4180af35f6ba95978cdfb82e4566896118a338f9794f4083eb4e18efa"}}