{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4NZ3FKQVMY3MPA4NGN74AY2HC4","short_pith_number":"pith:4NZ3FKQV","canonical_record":{"source":{"id":"1402.4866","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-20T02:24:26Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"04002ceb38803853350939906f7f708516c40e9c2b5b8de8f0d24695c40cd33e","abstract_canon_sha256":"c0287252a19b425d5b35d1b46b7861a50f97ea7c5e5ab7174dcd72b8a956f5ad"},"schema_version":"1.0"},"canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","source":{"kind":"arxiv","id":"1402.4866","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4866","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4866v1","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4866","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"4NZ3FKQVMY3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NZ3FKQVMY3MPA4N","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NZ3FKQV","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4NZ3FKQVMY3MPA4NGN74AY2HC4","target":"record","payload":{"canonical_record":{"source":{"id":"1402.4866","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-20T02:24:26Z","cross_cats_sorted":["q-bio.PE"],"title_canon_sha256":"04002ceb38803853350939906f7f708516c40e9c2b5b8de8f0d24695c40cd33e","abstract_canon_sha256":"c0287252a19b425d5b35d1b46b7861a50f97ea7c5e5ab7174dcd72b8a956f5ad"},"schema_version":"1.0"},"canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:35.990781Z","signature_b64":"/96nxrhGhr9492PIjZjDXWrIMejlZjYsMGa7VocRUmQsqr4F4kLauKXdruAKVSpymgLriyjbNPrxy6aSwssJCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","last_reissued_at":"2026-05-18T01:44:35.990147Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:35.990147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.4866","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":"2026-05-18T01:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WQvx4vjSdDEspYRjIvf00xazCAgpKXwZLStOwYQRZzPGcy/1vQj6Kj1pjrHmoDJXOe2brh5EWJVSXRkQU1rYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:49:58.365976Z"},"content_sha256":"7555d7f2b3619ae303d2b709f115011c6c2fb4b8c9726e07547bae8f94f926ee","schema_version":"1.0","event_id":"sha256:7555d7f2b3619ae303d2b709f115011c6c2fb4b8c9726e07547bae8f94f926ee"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4NZ3FKQVMY3MPA4NGN74AY2HC4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Heterogeneous noise enhances spatial reciprocity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"S.-S. Chen, Y. Yao","submitted_at":"2014-02-20T02:24:26Z","abstract_excerpt":"Recent research has identified the heterogeneity as crucial for the evolution of cooperation in spatial population. However, the influence of heterogeneous noise is still lack. Inspired by this interesting question, in this work, we try to incorporate heterogeneous noise into the evaluation of utility, where only a proportion of population possesses noise, whose range can also be tuned. We find that increasing heterogeneous noise monotonously promotes cooperation and even translates the full defection phase (of the homogeneous version) into the complete cooperation phase. Moreover, the promoti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4866","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":"2026-05-18T01:44:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xx8z3tu/dNrFjNiC3f/t04zmVIdymtz7O6TnzEl1k+Hr4djdUubWH8xhHAXJuJ2h862UtkL3eteT2NM6jyYxDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T16:49:58.366456Z"},"content_sha256":"d254f136c1ae457b08681636ad089eabf89ef9605f658c2b69b50381203fa118","schema_version":"1.0","event_id":"sha256:d254f136c1ae457b08681636ad089eabf89ef9605f658c2b69b50381203fa118"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/bundle.json","state_url":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/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":"2026-08-03T16:49:58Z","links":{"resolver":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4","bundle":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/bundle.json","state":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4NZ3FKQVMY3MPA4NGN74AY2HC4","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":"c0287252a19b425d5b35d1b46b7861a50f97ea7c5e5ab7174dcd72b8a956f5ad","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-20T02:24:26Z","title_canon_sha256":"04002ceb38803853350939906f7f708516c40e9c2b5b8de8f0d24695c40cd33e"},"schema_version":"1.0","source":{"id":"1402.4866","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.4866","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"arxiv_version","alias_value":"1402.4866v1","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4866","created_at":"2026-05-18T01:44:35Z"},{"alias_kind":"pith_short_12","alias_value":"4NZ3FKQVMY3M","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4NZ3FKQVMY3MPA4N","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4NZ3FKQV","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:d254f136c1ae457b08681636ad089eabf89ef9605f658c2b69b50381203fa118","target":"graph","created_at":"2026-05-18T01:44:35Z","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":"Recent research has identified the heterogeneity as crucial for the evolution of cooperation in spatial population. However, the influence of heterogeneous noise is still lack. Inspired by this interesting question, in this work, we try to incorporate heterogeneous noise into the evaluation of utility, where only a proportion of population possesses noise, whose range can also be tuned. We find that increasing heterogeneous noise monotonously promotes cooperation and even translates the full defection phase (of the homogeneous version) into the complete cooperation phase. Moreover, the promoti","authors_text":"S.-S. Chen, Y. Yao","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-20T02:24:26Z","title":"Heterogeneous noise enhances spatial reciprocity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.4866","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":"sha256:7555d7f2b3619ae303d2b709f115011c6c2fb4b8c9726e07547bae8f94f926ee","target":"record","created_at":"2026-05-18T01:44:35Z","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":"c0287252a19b425d5b35d1b46b7861a50f97ea7c5e5ab7174dcd72b8a956f5ad","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-02-20T02:24:26Z","title_canon_sha256":"04002ceb38803853350939906f7f708516c40e9c2b5b8de8f0d24695c40cd33e"},"schema_version":"1.0","source":{"id":"1402.4866","kind":"arxiv","version":1}},"canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","first_computed_at":"2026-05-18T01:44:35.990147Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:35.990147Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/96nxrhGhr9492PIjZjDXWrIMejlZjYsMGa7VocRUmQsqr4F4kLauKXdruAKVSpymgLriyjbNPrxy6aSwssJCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:35.990781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.4866","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7555d7f2b3619ae303d2b709f115011c6c2fb4b8c9726e07547bae8f94f926ee","sha256:d254f136c1ae457b08681636ad089eabf89ef9605f658c2b69b50381203fa118"],"state_sha256":"663b93e28c84e7a5d45aec58475dae969a3d4b5dfeb254c99fb0e8ca806e2957"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kYm8VUuRmjPxkjRWP8AeiAvKeL2pF4FN+MvZBXPo6XLmPktDi7zBCJGA6t8Zt+Owc59dFzMUuBVPszh4e36aBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T16:49:58.371655Z","bundle_sha256":"16fe6220e5bb1d3e9302ea106991b411dc44e22bbe7d04256c597877f4ace095"}}