{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:4NZ3FKQVMY3MPA4NGN74AY2HC4","short_pith_number":"pith:4NZ3FKQV","schema_version":"1.0","canonical_sha256":"e373b2aa156636c7838d337fc063471713d362d426ad3b19068df47cc6baeab8","source":{"kind":"arxiv","id":"1402.4866","version":1},"attestation_state":"computed","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"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"},"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"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1402.4866","created_at":"2026-05-18T01:44:35.990240+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.4866v1","created_at":"2026-05-18T01:44:35.990240+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.4866","created_at":"2026-05-18T01:44:35.990240+00:00"},{"alias_kind":"pith_short_12","alias_value":"4NZ3FKQVMY3M","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"4NZ3FKQVMY3MPA4N","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"4NZ3FKQV","created_at":"2026-05-18T12:28:14.216126+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4","json":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4.json","graph_json":"https://pith.science/api/pith-number/4NZ3FKQVMY3MPA4NGN74AY2HC4/graph.json","events_json":"https://pith.science/api/pith-number/4NZ3FKQVMY3MPA4NGN74AY2HC4/events.json","paper":"https://pith.science/paper/4NZ3FKQV"},"agent_actions":{"view_html":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4","download_json":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4.json","view_paper":"https://pith.science/paper/4NZ3FKQV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.4866&json=true","fetch_graph":"https://pith.science/api/pith-number/4NZ3FKQVMY3MPA4NGN74AY2HC4/graph.json","fetch_events":"https://pith.science/api/pith-number/4NZ3FKQVMY3MPA4NGN74AY2HC4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/action/storage_attestation","attest_author":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/action/author_attestation","sign_citation":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/action/citation_signature","submit_replication":"https://pith.science/pith/4NZ3FKQVMY3MPA4NGN74AY2HC4/action/replication_record"}},"created_at":"2026-05-18T01:44:35.990240+00:00","updated_at":"2026-05-18T01:44:35.990240+00:00"}