{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:WHWUHLXILS3YYVD5XWMVC5CHEO","short_pith_number":"pith:WHWUHLXI","canonical_record":{"source":{"id":"1010.3547","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-18T10:32:04Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"8091949fc5c48ec6ab166e303d73033ea3e009b0929817e658b208149b1433d4","abstract_canon_sha256":"a86e460e123d36bb4f0f1c50b1837207f1ed06195feabd5ca86bc2b6c85bb19d"},"schema_version":"1.0"},"canonical_sha256":"b1ed43aee85cb78c547dbd995174472391cee31c883b2a69227fb1e02d78f60e","source":{"kind":"arxiv","id":"1010.3547","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3547","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3547v4","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3547","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"WHWUHLXILS3Y","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"WHWUHLXILS3YYVD5","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"WHWUHLXI","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:WHWUHLXILS3YYVD5XWMVC5CHEO","target":"record","payload":{"canonical_record":{"source":{"id":"1010.3547","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-18T10:32:04Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"8091949fc5c48ec6ab166e303d73033ea3e009b0929817e658b208149b1433d4","abstract_canon_sha256":"a86e460e123d36bb4f0f1c50b1837207f1ed06195feabd5ca86bc2b6c85bb19d"},"schema_version":"1.0"},"canonical_sha256":"b1ed43aee85cb78c547dbd995174472391cee31c883b2a69227fb1e02d78f60e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:05:01.919361Z","signature_b64":"oYS4M1fOGlWA0YiL2fYRuteoooMWss+Eu0OX2Iix7bpnofyJF0WQOWfgSZkYV5uya6VdjlEMjjppDiGllmcvBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1ed43aee85cb78c547dbd995174472391cee31c883b2a69227fb1e02d78f60e","last_reissued_at":"2026-05-18T02:05:01.918626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:05:01.918626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.3547","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3xowwocTdsowCnPWsNOBYMrzDpaQaACjfM9t4G/8gS5LBp5rh1OY/zu66BTpOHgm2y0vRVcgsDBEXVRDTgYrDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:04:44.922699Z"},"content_sha256":"a0913b21ff8412f4d4f4bfe4a3264344487fbf7f25735dce29b49a845de78cbf","schema_version":"1.0","event_id":"sha256:a0913b21ff8412f4d4f4bfe4a3264344487fbf7f25735dce29b49a845de78cbf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:WHWUHLXILS3YYVD5XWMVC5CHEO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random Topologies and the emergence of cooperation: the role of short-cuts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Angel S\\'anchez, Daniele Vilone, Jes\\'us G\\'omez-Garde\\~nes","submitted_at":"2010-10-18T10:32:04Z","abstract_excerpt":"We study in detail the role of short-cuts in promoting the emergence of cooperation in a network of agents playing the Prisoner's Dilemma Game (PDG). We introduce a model whose topology interpolates between the one-dimensional euclidean lattice (a ring) and the complete graph by changing the value of one parameter (the probability p to add a link between two nodes not already connected in the euclidean configuration). We show that there is a region of values of p in which cooperation is largely enhanced, whilst for smaller values of p only a few cooperators are present in the final state, and "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3547","kind":"arxiv","version":4},"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":"2026-05-18T02:05:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHICMxfjtT/gFHaJio5FfeY36oWsNfSCSRgtI5VGZlzSVwyZysjuF7HHKD1rzFj6eZka9jb/zve2EBimJMIWDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T15:04:44.923078Z"},"content_sha256":"8a2a965aef47e1425f0b9a3e82d0a5c2265a329aa1d33d28682663d7a6cd8d13","schema_version":"1.0","event_id":"sha256:8a2a965aef47e1425f0b9a3e82d0a5c2265a329aa1d33d28682663d7a6cd8d13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/bundle.json","state_url":"https://pith.science/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/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":"2026-06-06T15:04:44Z","links":{"resolver":"https://pith.science/pith/WHWUHLXILS3YYVD5XWMVC5CHEO","bundle":"https://pith.science/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/bundle.json","state":"https://pith.science/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WHWUHLXILS3YYVD5XWMVC5CHEO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:WHWUHLXILS3YYVD5XWMVC5CHEO","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":"a86e460e123d36bb4f0f1c50b1837207f1ed06195feabd5ca86bc2b6c85bb19d","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-18T10:32:04Z","title_canon_sha256":"8091949fc5c48ec6ab166e303d73033ea3e009b0929817e658b208149b1433d4"},"schema_version":"1.0","source":{"id":"1010.3547","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3547","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3547v4","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3547","created_at":"2026-05-18T02:05:01Z"},{"alias_kind":"pith_short_12","alias_value":"WHWUHLXILS3Y","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"WHWUHLXILS3YYVD5","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"WHWUHLXI","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:8a2a965aef47e1425f0b9a3e82d0a5c2265a329aa1d33d28682663d7a6cd8d13","target":"graph","created_at":"2026-05-18T02:05:01Z","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":"We study in detail the role of short-cuts in promoting the emergence of cooperation in a network of agents playing the Prisoner's Dilemma Game (PDG). We introduce a model whose topology interpolates between the one-dimensional euclidean lattice (a ring) and the complete graph by changing the value of one parameter (the probability p to add a link between two nodes not already connected in the euclidean configuration). We show that there is a region of values of p in which cooperation is largely enhanced, whilst for smaller values of p only a few cooperators are present in the final state, and ","authors_text":"Angel S\\'anchez, Daniele Vilone, Jes\\'us G\\'omez-Garde\\~nes","cross_cats":["cs.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-18T10:32:04Z","title":"Random Topologies and the emergence of cooperation: the role of short-cuts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3547","kind":"arxiv","version":4},"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:a0913b21ff8412f4d4f4bfe4a3264344487fbf7f25735dce29b49a845de78cbf","target":"record","created_at":"2026-05-18T02:05:01Z","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":"a86e460e123d36bb4f0f1c50b1837207f1ed06195feabd5ca86bc2b6c85bb19d","cross_cats_sorted":["cs.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2010-10-18T10:32:04Z","title_canon_sha256":"8091949fc5c48ec6ab166e303d73033ea3e009b0929817e658b208149b1433d4"},"schema_version":"1.0","source":{"id":"1010.3547","kind":"arxiv","version":4}},"canonical_sha256":"b1ed43aee85cb78c547dbd995174472391cee31c883b2a69227fb1e02d78f60e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1ed43aee85cb78c547dbd995174472391cee31c883b2a69227fb1e02d78f60e","first_computed_at":"2026-05-18T02:05:01.918626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:05:01.918626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oYS4M1fOGlWA0YiL2fYRuteoooMWss+Eu0OX2Iix7bpnofyJF0WQOWfgSZkYV5uya6VdjlEMjjppDiGllmcvBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:05:01.919361Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3547","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0913b21ff8412f4d4f4bfe4a3264344487fbf7f25735dce29b49a845de78cbf","sha256:8a2a965aef47e1425f0b9a3e82d0a5c2265a329aa1d33d28682663d7a6cd8d13"],"state_sha256":"771a8c674390abf4a1c241e3722e3f7e206c8dff9d9cda6212294e26373a144b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"utzvurXRxZfJh1CL9UA1XiLP6xCg4t4OzjjOGcxG069HK3OwR1wNrR84HGA1OMP8pVcSY3fvcwXIb+A5/FFDBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T15:04:44.926101Z","bundle_sha256":"8e0eb6a31ed09017dd22b19b5c203cdc26ec1d216a03b20df4df0afcc86019d1"}}