{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:3AMNDME47Y5TKGCQA2UZKXAKTN","short_pith_number":"pith:3AMNDME4","canonical_record":{"source":{"id":"1502.02552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-19T12:42:22Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"6185935c2b27dc3789fb59b8c8b90e6c0901ada3faf1e8a07944b1b6e9ccb73b","abstract_canon_sha256":"e689ff72a6b0fd145698468ef5181fb9ba6ea7ed25707b2668d9fbef0f3cdc96"},"schema_version":"1.0"},"canonical_sha256":"d818d1b09cfe3b35185006a9955c0a9b6e8aa13edbd5d53e4a7ee8f27ae0258e","source":{"kind":"arxiv","id":"1502.02552","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02552","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02552v1","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02552","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"3AMNDME47Y5T","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3AMNDME47Y5TKGCQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3AMNDME4","created_at":"2026-05-18T12:28:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:3AMNDME47Y5TKGCQA2UZKXAKTN","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02552","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-19T12:42:22Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"6185935c2b27dc3789fb59b8c8b90e6c0901ada3faf1e8a07944b1b6e9ccb73b","abstract_canon_sha256":"e689ff72a6b0fd145698468ef5181fb9ba6ea7ed25707b2668d9fbef0f3cdc96"},"schema_version":"1.0"},"canonical_sha256":"d818d1b09cfe3b35185006a9955c0a9b6e8aa13edbd5d53e4a7ee8f27ae0258e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:27:41.932907Z","signature_b64":"A7Qr0qyaNuibG8xDP4O0deP/92wvDYsBff5Y7PpXDQ0IeTus/3GmYc4IDwzgGWWvZa2NYXS81fLpm0nxOeOgDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d818d1b09cfe3b35185006a9955c0a9b6e8aa13edbd5d53e4a7ee8f27ae0258e","last_reissued_at":"2026-05-18T02:27:41.932257Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:27:41.932257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02552","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":"2026-05-18T02:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9Wg3wnKf5PFPWSC1G01OLB9WSMa2rAngeZvBowP3s5+zXxmL9XDZ1j6eR8bljTj7gXfutFwrddIqJV39ZJHJBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T10:51:31.865987Z"},"content_sha256":"0c0c1e45f25403aacea1452c288e0d76f89633b6ee95f7f1b770cc5e36ab770c","schema_version":"1.0","event_id":"sha256:0c0c1e45f25403aacea1452c288e0d76f89633b6ee95f7f1b770cc5e36ab770c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:3AMNDME47Y5TKGCQA2UZKXAKTN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Golden Ratio as a proposed solution of the Ultimatum Game: An explanation by continued fractions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"physics.soc-ph","authors_text":"Stefan Schuster","submitted_at":"2014-12-19T12:42:22Z","abstract_excerpt":"The Ultimatum Game is a famous sequential, two-player game intensely studied in Game Theory. A proposer can offer a certain fraction of some amount of a valuable good, for example, money. A responder can either accept, in which case the money is shared accordingly, or reject the offer, in which case the two players receive nothing. While most authors suggest that the fairest split of 50 % vs. 50 % would be the equilibrium solution, recently R. Suleiman (An aspirations-homeostasis theory of interactive decisions (2014)) suggested the Golden Ratio, 0.618, to be the solution and argued that such "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02552","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":"2026-05-18T02:27:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H1X7WVnAOvBlVSI4nToA69VQKGcLSN99qXsDkX34rjCJ0tPmjMnhL3BHJOp/5CytqC0cq47ETlcqMoX5S94TBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-23T10:51:31.866694Z"},"content_sha256":"bf2f0ae1ca914ab2b0e389d1749f13d5562ed787772ed4a9d20aa6ed957b550b","schema_version":"1.0","event_id":"sha256:bf2f0ae1ca914ab2b0e389d1749f13d5562ed787772ed4a9d20aa6ed957b550b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/bundle.json","state_url":"https://pith.science/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/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":"2026-05-23T10:51:31Z","links":{"resolver":"https://pith.science/pith/3AMNDME47Y5TKGCQA2UZKXAKTN","bundle":"https://pith.science/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/bundle.json","state":"https://pith.science/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3AMNDME47Y5TKGCQA2UZKXAKTN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3AMNDME47Y5TKGCQA2UZKXAKTN","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":"e689ff72a6b0fd145698468ef5181fb9ba6ea7ed25707b2668d9fbef0f3cdc96","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-19T12:42:22Z","title_canon_sha256":"6185935c2b27dc3789fb59b8c8b90e6c0901ada3faf1e8a07944b1b6e9ccb73b"},"schema_version":"1.0","source":{"id":"1502.02552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02552","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02552v1","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02552","created_at":"2026-05-18T02:27:41Z"},{"alias_kind":"pith_short_12","alias_value":"3AMNDME47Y5T","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3AMNDME47Y5TKGCQ","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3AMNDME4","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:bf2f0ae1ca914ab2b0e389d1749f13d5562ed787772ed4a9d20aa6ed957b550b","target":"graph","created_at":"2026-05-18T02:27:41Z","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 Ultimatum Game is a famous sequential, two-player game intensely studied in Game Theory. A proposer can offer a certain fraction of some amount of a valuable good, for example, money. A responder can either accept, in which case the money is shared accordingly, or reject the offer, in which case the two players receive nothing. While most authors suggest that the fairest split of 50 % vs. 50 % would be the equilibrium solution, recently R. Suleiman (An aspirations-homeostasis theory of interactive decisions (2014)) suggested the Golden Ratio, 0.618, to be the solution and argued that such ","authors_text":"Stefan Schuster","cross_cats":["math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-19T12:42:22Z","title":"The Golden Ratio as a proposed solution of the Ultimatum Game: An explanation by continued fractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02552","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":"sha256:0c0c1e45f25403aacea1452c288e0d76f89633b6ee95f7f1b770cc5e36ab770c","target":"record","created_at":"2026-05-18T02:27:41Z","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":"e689ff72a6b0fd145698468ef5181fb9ba6ea7ed25707b2668d9fbef0f3cdc96","cross_cats_sorted":["math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-12-19T12:42:22Z","title_canon_sha256":"6185935c2b27dc3789fb59b8c8b90e6c0901ada3faf1e8a07944b1b6e9ccb73b"},"schema_version":"1.0","source":{"id":"1502.02552","kind":"arxiv","version":1}},"canonical_sha256":"d818d1b09cfe3b35185006a9955c0a9b6e8aa13edbd5d53e4a7ee8f27ae0258e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d818d1b09cfe3b35185006a9955c0a9b6e8aa13edbd5d53e4a7ee8f27ae0258e","first_computed_at":"2026-05-18T02:27:41.932257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:41.932257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"A7Qr0qyaNuibG8xDP4O0deP/92wvDYsBff5Y7PpXDQ0IeTus/3GmYc4IDwzgGWWvZa2NYXS81fLpm0nxOeOgDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:41.932907Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c0c1e45f25403aacea1452c288e0d76f89633b6ee95f7f1b770cc5e36ab770c","sha256:bf2f0ae1ca914ab2b0e389d1749f13d5562ed787772ed4a9d20aa6ed957b550b"],"state_sha256":"eb63e5cff1616ee1ceaffc2b660d3e5874dd5112bfede0ecc8740fb21197d1a3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzLDWMuBzHN3no85qXvreXQBnbz4VLu+SljFytwExuUEzmEBqrEUPtymKNtoi7kyGO4gfNWruaDFjCVgqJLuAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-23T10:51:31.870583Z","bundle_sha256":"7ff427ba664667540b5597e5198fadaa2b0c5fbe2703dc3f0a73f81b5fa97b4c"}}