{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IA55GQOXWL3NABJGTGZS6NXV5V","short_pith_number":"pith:IA55GQOX","canonical_record":{"source":{"id":"1301.0130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-01T20:16:17Z","cross_cats_sorted":[],"title_canon_sha256":"3987b2f6a99d414cd74c8445d535b50349445216a72eced69156b130a1f36e66","abstract_canon_sha256":"1dc8780027039e31d980b03aaf54b10241d6eaa68c1326719d209415ebf587f5"},"schema_version":"1.0"},"canonical_sha256":"403bd341d7b2f6d0052699b32f36f5ed667e7f2b4a57b3cb4d510e2d3978801d","source":{"kind":"arxiv","id":"1301.0130","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0130","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0130v2","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0130","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"IA55GQOXWL3N","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IA55GQOXWL3NABJG","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IA55GQOX","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IA55GQOXWL3NABJGTGZS6NXV5V","target":"record","payload":{"canonical_record":{"source":{"id":"1301.0130","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-01T20:16:17Z","cross_cats_sorted":[],"title_canon_sha256":"3987b2f6a99d414cd74c8445d535b50349445216a72eced69156b130a1f36e66","abstract_canon_sha256":"1dc8780027039e31d980b03aaf54b10241d6eaa68c1326719d209415ebf587f5"},"schema_version":"1.0"},"canonical_sha256":"403bd341d7b2f6d0052699b32f36f5ed667e7f2b4a57b3cb4d510e2d3978801d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:28.290763Z","signature_b64":"oin3bdthUXn3PsfPc3tHg/SkWeCveOxYg6GBvEitdpO/9wFPwEkwBuUPPgtVmnBunZgJeJhS+BKxDyVyYBCfAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"403bd341d7b2f6d0052699b32f36f5ed667e7f2b4a57b3cb4d510e2d3978801d","last_reissued_at":"2026-05-18T03:05:28.290184Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:28.290184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.0130","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"czwnctKSOzRVwkiLtzLYP+3Ju2mWTwQkb8iQaNhhNRizFB4Vcdd9VOlnadcKuonZy4bMyaeieNKTzBbJpxSEBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:05:08.625401Z"},"content_sha256":"5f78713f1a0cc8c7b12097a8bf7d6f6d7eaf58fb87ab92cf61ad334b2446d9df","schema_version":"1.0","event_id":"sha256:5f78713f1a0cc8c7b12097a8bf7d6f6d7eaf58fb87ab92cf61ad334b2446d9df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IA55GQOXWL3NABJGTGZS6NXV5V","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fixation in the one-dimensional Axelrod model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Nicolas Lanchier, Stylianos Scarlatos","submitted_at":"2013-01-01T20:16:17Z","abstract_excerpt":"The Axelrod model is a spatial stochastic model for the dynamics of cultures which includes two important social factors: social influence, the tendency of individuals to become more similar when they interact, and homophily, the tendency of individuals to interact more frequently with individuals who are more similar. Each vertex of the interaction network is characterized by its culture, a vector of $F$ cultural features that can each assumes $q$ different states. Pairs of neighbors interact at a rate proportional to the number of cultural features they have in common, which results in the i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0130","kind":"arxiv","version":2},"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":"2026-05-18T03:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bElxJMK6/v/tT+m4uXoJvWx5cCtC4EbQB6yfNYF6J8I9n5/LVc3LHZKePFy3aUqeAxGbh6RJ4RC0kh41CIewAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T16:05:08.625748Z"},"content_sha256":"213c9d1204eaa3f6f89725c065295384a492d6a483719ce0fc3441b82c064d1d","schema_version":"1.0","event_id":"sha256:213c9d1204eaa3f6f89725c065295384a492d6a483719ce0fc3441b82c064d1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IA55GQOXWL3NABJGTGZS6NXV5V/bundle.json","state_url":"https://pith.science/pith/IA55GQOXWL3NABJGTGZS6NXV5V/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IA55GQOXWL3NABJGTGZS6NXV5V/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":"2026-06-05T16:05:08Z","links":{"resolver":"https://pith.science/pith/IA55GQOXWL3NABJGTGZS6NXV5V","bundle":"https://pith.science/pith/IA55GQOXWL3NABJGTGZS6NXV5V/bundle.json","state":"https://pith.science/pith/IA55GQOXWL3NABJGTGZS6NXV5V/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IA55GQOXWL3NABJGTGZS6NXV5V/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IA55GQOXWL3NABJGTGZS6NXV5V","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":"1dc8780027039e31d980b03aaf54b10241d6eaa68c1326719d209415ebf587f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-01T20:16:17Z","title_canon_sha256":"3987b2f6a99d414cd74c8445d535b50349445216a72eced69156b130a1f36e66"},"schema_version":"1.0","source":{"id":"1301.0130","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.0130","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"1301.0130v2","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.0130","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"IA55GQOXWL3N","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IA55GQOXWL3NABJG","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IA55GQOX","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:213c9d1204eaa3f6f89725c065295384a492d6a483719ce0fc3441b82c064d1d","target":"graph","created_at":"2026-05-18T03:05:28Z","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 Axelrod model is a spatial stochastic model for the dynamics of cultures which includes two important social factors: social influence, the tendency of individuals to become more similar when they interact, and homophily, the tendency of individuals to interact more frequently with individuals who are more similar. Each vertex of the interaction network is characterized by its culture, a vector of $F$ cultural features that can each assumes $q$ different states. Pairs of neighbors interact at a rate proportional to the number of cultural features they have in common, which results in the i","authors_text":"Nicolas Lanchier, Stylianos Scarlatos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-01T20:16:17Z","title":"Fixation in the one-dimensional Axelrod model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.0130","kind":"arxiv","version":2},"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":"sha256:5f78713f1a0cc8c7b12097a8bf7d6f6d7eaf58fb87ab92cf61ad334b2446d9df","target":"record","created_at":"2026-05-18T03:05:28Z","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":"1dc8780027039e31d980b03aaf54b10241d6eaa68c1326719d209415ebf587f5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-01-01T20:16:17Z","title_canon_sha256":"3987b2f6a99d414cd74c8445d535b50349445216a72eced69156b130a1f36e66"},"schema_version":"1.0","source":{"id":"1301.0130","kind":"arxiv","version":2}},"canonical_sha256":"403bd341d7b2f6d0052699b32f36f5ed667e7f2b4a57b3cb4d510e2d3978801d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"403bd341d7b2f6d0052699b32f36f5ed667e7f2b4a57b3cb4d510e2d3978801d","first_computed_at":"2026-05-18T03:05:28.290184Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:28.290184Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oin3bdthUXn3PsfPc3tHg/SkWeCveOxYg6GBvEitdpO/9wFPwEkwBuUPPgtVmnBunZgJeJhS+BKxDyVyYBCfAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:28.290763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.0130","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5f78713f1a0cc8c7b12097a8bf7d6f6d7eaf58fb87ab92cf61ad334b2446d9df","sha256:213c9d1204eaa3f6f89725c065295384a492d6a483719ce0fc3441b82c064d1d"],"state_sha256":"ff7c8f58483e5ca5acd2e4b28e24cb87be6530a1c16c099fad4d778bd22ac756"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bQ7Io+skoEtzGz19kCeBIBmXkm6gMJq8MmsJJyNo6w9NBJyOcJtVI8pF622AzF0Tzki72XO8CMSQYQQutO90Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T16:05:08.627657Z","bundle_sha256":"62ba8a5bd0a9f397d7427c24cbe5500561ef0372bc453d0307947a2e2c0f96c7"}}