{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:REHVHKNIYKOCSP337YJOHLATIW","short_pith_number":"pith:REHVHKNI","canonical_record":{"source":{"id":"1612.08801","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-28T04:47:22Z","cross_cats_sorted":[],"title_canon_sha256":"dac69e8708f53696ae50524de0715114319100b594ab16414cfe1c882894061f","abstract_canon_sha256":"701d78802bd723f4abc0855e2f305d92a532c9762f6d190f999e8d081c115f3e"},"schema_version":"1.0"},"canonical_sha256":"890f53a9a8c29c293f7bfe12e3ac13459708b11fafb8d4fce3d07f357d6a50ed","source":{"kind":"arxiv","id":"1612.08801","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08801","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08801v3","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08801","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"REHVHKNIYKOC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"REHVHKNIYKOCSP33","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"REHVHKNI","created_at":"2026-05-18T12:30:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:REHVHKNIYKOCSP337YJOHLATIW","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08801","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-28T04:47:22Z","cross_cats_sorted":[],"title_canon_sha256":"dac69e8708f53696ae50524de0715114319100b594ab16414cfe1c882894061f","abstract_canon_sha256":"701d78802bd723f4abc0855e2f305d92a532c9762f6d190f999e8d081c115f3e"},"schema_version":"1.0"},"canonical_sha256":"890f53a9a8c29c293f7bfe12e3ac13459708b11fafb8d4fce3d07f357d6a50ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:47.040349Z","signature_b64":"lWkT6jPIsGA1RDG8K0IjDA/W8CB5l6mg/UqrgH5zdVlZ5d1yiYzZrkNBTSys7wT74RyXZJyDEFb+iRFJ+D8rAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"890f53a9a8c29c293f7bfe12e3ac13459708b11fafb8d4fce3d07f357d6a50ed","last_reissued_at":"2026-05-18T00:39:47.039439Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:47.039439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08801","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ldmzttW2rixnYUFMNbM8RUD/PFHlo5oHeKW7Kk2+/s6xTncdlfmHDSVZOaa52McDmF06VTrRt0bNeNrlw/2fCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:08:04.102039Z"},"content_sha256":"4175b2f520d631cbf5d93862703ea56c5581947346e02cf6e9010b3c6d75d24e","schema_version":"1.0","event_id":"sha256:4175b2f520d631cbf5d93862703ea56c5581947346e02cf6e9010b3c6d75d24e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:REHVHKNIYKOCSP337YJOHLATIW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Evolution of favoritism and group fairness in a co-evolving three-person ultimatum game","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Akira Ozawa, Hirofumi Takesue, So Morikawa","submitted_at":"2016-12-28T04:47:22Z","abstract_excerpt":"The evolution of fairness in dyadic relationships has been studied using ultimatum games. However, human fairness is not limited to two-person situations and universal egalitarianism among group members is widely observed. In this study, we investigated the evolution of favoritism and group fairness in a three-person ultimatum game (TUG) under a co-evolutionary framework with both strategy updating and partner switching dynamics. In the TUG, one proposer makes an offer to two responders and the proposal is accepted at the group level if at least one individual responder accepts the offer. Inve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08801","kind":"arxiv","version":3},"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":"2026-05-18T00:39:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vtrB6Sqeagsi1eczt7//BSzoc3K1cnEvHtfrX3V7RBqFTxH6ugQGGSfmJOCxORWwZRk8uU8p65YsTDUnNj2JAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:08:04.102397Z"},"content_sha256":"f851383a9eb3ce888d139bb1346dee6ab8d204ae51f21af69edc15e713beadcc","schema_version":"1.0","event_id":"sha256:f851383a9eb3ce888d139bb1346dee6ab8d204ae51f21af69edc15e713beadcc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/REHVHKNIYKOCSP337YJOHLATIW/bundle.json","state_url":"https://pith.science/pith/REHVHKNIYKOCSP337YJOHLATIW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/REHVHKNIYKOCSP337YJOHLATIW/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":"2026-06-02T02:08:04Z","links":{"resolver":"https://pith.science/pith/REHVHKNIYKOCSP337YJOHLATIW","bundle":"https://pith.science/pith/REHVHKNIYKOCSP337YJOHLATIW/bundle.json","state":"https://pith.science/pith/REHVHKNIYKOCSP337YJOHLATIW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/REHVHKNIYKOCSP337YJOHLATIW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:REHVHKNIYKOCSP337YJOHLATIW","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":"701d78802bd723f4abc0855e2f305d92a532c9762f6d190f999e8d081c115f3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-28T04:47:22Z","title_canon_sha256":"dac69e8708f53696ae50524de0715114319100b594ab16414cfe1c882894061f"},"schema_version":"1.0","source":{"id":"1612.08801","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08801","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08801v3","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08801","created_at":"2026-05-18T00:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"REHVHKNIYKOC","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_16","alias_value":"REHVHKNIYKOCSP33","created_at":"2026-05-18T12:30:41Z"},{"alias_kind":"pith_short_8","alias_value":"REHVHKNI","created_at":"2026-05-18T12:30:41Z"}],"graph_snapshots":[{"event_id":"sha256:f851383a9eb3ce888d139bb1346dee6ab8d204ae51f21af69edc15e713beadcc","target":"graph","created_at":"2026-05-18T00:39:47Z","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":"The evolution of fairness in dyadic relationships has been studied using ultimatum games. However, human fairness is not limited to two-person situations and universal egalitarianism among group members is widely observed. In this study, we investigated the evolution of favoritism and group fairness in a three-person ultimatum game (TUG) under a co-evolutionary framework with both strategy updating and partner switching dynamics. In the TUG, one proposer makes an offer to two responders and the proposal is accepted at the group level if at least one individual responder accepts the offer. Inve","authors_text":"Akira Ozawa, Hirofumi Takesue, So Morikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-28T04:47:22Z","title":"Evolution of favoritism and group fairness in a co-evolving three-person ultimatum game"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08801","kind":"arxiv","version":3},"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":"sha256:4175b2f520d631cbf5d93862703ea56c5581947346e02cf6e9010b3c6d75d24e","target":"record","created_at":"2026-05-18T00:39:47Z","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":"701d78802bd723f4abc0855e2f305d92a532c9762f6d190f999e8d081c115f3e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-12-28T04:47:22Z","title_canon_sha256":"dac69e8708f53696ae50524de0715114319100b594ab16414cfe1c882894061f"},"schema_version":"1.0","source":{"id":"1612.08801","kind":"arxiv","version":3}},"canonical_sha256":"890f53a9a8c29c293f7bfe12e3ac13459708b11fafb8d4fce3d07f357d6a50ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"890f53a9a8c29c293f7bfe12e3ac13459708b11fafb8d4fce3d07f357d6a50ed","first_computed_at":"2026-05-18T00:39:47.039439Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:47.039439Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lWkT6jPIsGA1RDG8K0IjDA/W8CB5l6mg/UqrgH5zdVlZ5d1yiYzZrkNBTSys7wT74RyXZJyDEFb+iRFJ+D8rAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:47.040349Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08801","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4175b2f520d631cbf5d93862703ea56c5581947346e02cf6e9010b3c6d75d24e","sha256:f851383a9eb3ce888d139bb1346dee6ab8d204ae51f21af69edc15e713beadcc"],"state_sha256":"ad08b54239383ef204a92716026d95645ab9963d98f00fbaf6b94158d53e4a08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ATADi5s0ir64Us+C9ziJOeAZCXtwd5Yv0vO7R/4H61SdgN59iYpi+3xZC9Ply7IUvLBzDkZ3mlgYcO2y4TjaBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:08:04.104428Z","bundle_sha256":"e30140bc53037a3cdcc53780674bf70a67ea05c2c76ead8f2751012238724c05"}}