{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DEQGEJR4IJ3X7G7T755M4GP24Z","short_pith_number":"pith:DEQGEJR4","canonical_record":{"source":{"id":"1303.3502","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-03-14T16:39:54Z","cross_cats_sorted":["cs.SI","q-bio.PE"],"title_canon_sha256":"475f5a862936ae52306d49f92effea5cc1a9030040740acab44589d6265ce1c6","abstract_canon_sha256":"38e7b9a0dc61e831227fe0b664cdf1c6a9a5b56ac838d5eca069a064ae56640f"},"schema_version":"1.0"},"canonical_sha256":"192062263c42777f9bf3ff7ace19fae673767d8c9cbba00851d95b6f3f889989","source":{"kind":"arxiv","id":"1303.3502","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3502","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3502v2","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3502","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"DEQGEJR4IJ3X","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DEQGEJR4IJ3X7G7T","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DEQGEJR4","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DEQGEJR4IJ3X7G7T755M4GP24Z","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3502","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-03-14T16:39:54Z","cross_cats_sorted":["cs.SI","q-bio.PE"],"title_canon_sha256":"475f5a862936ae52306d49f92effea5cc1a9030040740acab44589d6265ce1c6","abstract_canon_sha256":"38e7b9a0dc61e831227fe0b664cdf1c6a9a5b56ac838d5eca069a064ae56640f"},"schema_version":"1.0"},"canonical_sha256":"192062263c42777f9bf3ff7ace19fae673767d8c9cbba00851d95b6f3f889989","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:13:46.036924Z","signature_b64":"MIsTQQfVHFCJc8hAyJGFC9IAedvVBaAqRRkdmqIX9ulqqEiHSB/EA6C9WZgEtHpbcC3Ei+q2WIHeyyBO043HCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"192062263c42777f9bf3ff7ace19fae673767d8c9cbba00851d95b6f3f889989","last_reissued_at":"2026-05-18T03:13:46.036093Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:13:46.036093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3502","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":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMHFVlovCvZEgAxKLWTzPLVf+zSxULtyppR4VAYqkWCZhr9xtzMbNRlINWM71WvY659mDY1GnVV61GTmnbK1BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:09:44.334138Z"},"content_sha256":"737568ff9b28925677254c8016a2f42cc54976ac8225149f7ee52af39f7a01a6","schema_version":"1.0","event_id":"sha256:737568ff9b28925677254c8016a2f42cc54976ac8225149f7ee52af39f7a01a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DEQGEJR4IJ3X7G7T755M4GP24Z","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Evolutionary Vaccination Dilemma in Complex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI","q-bio.PE"],"primary_cat":"physics.soc-ph","authors_text":"Alessio Cardillo, Catalina Reyes-Su\\'arez, Fernando Naranjo, Jes\\'us G\\'omez-Garde\\~nes","submitted_at":"2013-03-14T16:39:54Z","abstract_excerpt":"In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so that individuals take or not the vaccine upon their previous experience. Our framework thus put in competition two well-known dynamical properties of scale-free networks: the fast propagation of diseases and the promotion of cooperative behaviors. Our results show that when vaccine is perfect scale-free networks enhance the vaccination behavior with respect to "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3502","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":"2026-05-18T03:13:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTp8gog9mQ6Qy9WuDuodARJi0SBspK3SbMUeAOO5K3JDX+uZnj81h60rmYX/YMHL58xsZ5ZLJUcgWRrUbWOoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T22:09:44.334512Z"},"content_sha256":"8eb47992661148323998779b95d76b64ee39fc542b5cc0c6c4442d3aff5f8d4f","schema_version":"1.0","event_id":"sha256:8eb47992661148323998779b95d76b64ee39fc542b5cc0c6c4442d3aff5f8d4f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/bundle.json","state_url":"https://pith.science/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/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":"2026-06-30T22:09:44Z","links":{"resolver":"https://pith.science/pith/DEQGEJR4IJ3X7G7T755M4GP24Z","bundle":"https://pith.science/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/bundle.json","state":"https://pith.science/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DEQGEJR4IJ3X7G7T755M4GP24Z/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DEQGEJR4IJ3X7G7T755M4GP24Z","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":"38e7b9a0dc61e831227fe0b664cdf1c6a9a5b56ac838d5eca069a064ae56640f","cross_cats_sorted":["cs.SI","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-03-14T16:39:54Z","title_canon_sha256":"475f5a862936ae52306d49f92effea5cc1a9030040740acab44589d6265ce1c6"},"schema_version":"1.0","source":{"id":"1303.3502","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3502","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3502v2","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3502","created_at":"2026-05-18T03:13:46Z"},{"alias_kind":"pith_short_12","alias_value":"DEQGEJR4IJ3X","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DEQGEJR4IJ3X7G7T","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DEQGEJR4","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:8eb47992661148323998779b95d76b64ee39fc542b5cc0c6c4442d3aff5f8d4f","target":"graph","created_at":"2026-05-18T03:13:46Z","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":"In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so that individuals take or not the vaccine upon their previous experience. Our framework thus put in competition two well-known dynamical properties of scale-free networks: the fast propagation of diseases and the promotion of cooperative behaviors. Our results show that when vaccine is perfect scale-free networks enhance the vaccination behavior with respect to ","authors_text":"Alessio Cardillo, Catalina Reyes-Su\\'arez, Fernando Naranjo, Jes\\'us G\\'omez-Garde\\~nes","cross_cats":["cs.SI","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-03-14T16:39:54Z","title":"The Evolutionary Vaccination Dilemma in Complex Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3502","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":"sha256:737568ff9b28925677254c8016a2f42cc54976ac8225149f7ee52af39f7a01a6","target":"record","created_at":"2026-05-18T03:13:46Z","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":"38e7b9a0dc61e831227fe0b664cdf1c6a9a5b56ac838d5eca069a064ae56640f","cross_cats_sorted":["cs.SI","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-03-14T16:39:54Z","title_canon_sha256":"475f5a862936ae52306d49f92effea5cc1a9030040740acab44589d6265ce1c6"},"schema_version":"1.0","source":{"id":"1303.3502","kind":"arxiv","version":2}},"canonical_sha256":"192062263c42777f9bf3ff7ace19fae673767d8c9cbba00851d95b6f3f889989","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"192062263c42777f9bf3ff7ace19fae673767d8c9cbba00851d95b6f3f889989","first_computed_at":"2026-05-18T03:13:46.036093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:13:46.036093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MIsTQQfVHFCJc8hAyJGFC9IAedvVBaAqRRkdmqIX9ulqqEiHSB/EA6C9WZgEtHpbcC3Ei+q2WIHeyyBO043HCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:13:46.036924Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3502","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:737568ff9b28925677254c8016a2f42cc54976ac8225149f7ee52af39f7a01a6","sha256:8eb47992661148323998779b95d76b64ee39fc542b5cc0c6c4442d3aff5f8d4f"],"state_sha256":"54fbadda11acb0c70eaf221f75b044454b06398b4ac25e42068db07d6bf87e79"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LcODpt9lL7zswsDCv6h8svNHSEcl9gaxx1EsD1aahbmefww0VPVeNwxf3mLY+PposHrNxp6kkjxaJ5SOiUo1Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T22:09:44.345282Z","bundle_sha256":"f8f2af36045acbb0cfd470f26a3ce01c198759e5682769741cd7aff8954c52c5"}}