{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:MAA6JLHAS2CBISR7CA5H5GTLD6","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":"733057704f7f86f68031998c661b4be021c52caa3797918884c7fd27874c56de","cross_cats_sorted":["cs.SI","nlin.AO","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-13T12:23:11Z","title_canon_sha256":"2f17712a73e0d3b758e269595b34496759b7bd04ea7540cd2bce7c7479c234c7"},"schema_version":"1.0","source":{"id":"1604.03731","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.03731","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"arxiv_version","alias_value":"1604.03731v2","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.03731","created_at":"2026-05-18T01:01:51Z"},{"alias_kind":"pith_short_12","alias_value":"MAA6JLHAS2CB","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"MAA6JLHAS2CBISR7","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"MAA6JLHA","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:22b1c086a472ea753cdf2e49a19c6510913c21a46920a31d63d7ec809497591e","target":"graph","created_at":"2026-05-18T01:01:51Z","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 the face of serious infectious diseases, governments endeavour to implement containment measures such as public vaccination at a macroscopic level. Meanwhile, individuals tend to protect themselves by avoiding contacts with infections at a microscopic level. However, a comprehensive understanding of how such combined strategy influences epidemic dynamics is still lacking. We study a susceptible-infected-susceptible epidemic model with imperfect vaccination on dynamic contact networks, where the macroscopic intervention is represented by random vaccination of the population and the microscop","authors_text":"Michael Small, Xiao-Long Peng, Xinchu Fu, Xin-Jian Xu, Zhen Jin","cross_cats":["cs.SI","nlin.AO","physics.bio-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-13T12:23:11Z","title":"Prevention of infectious diseases by public vaccination and individual protection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.03731","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":"sha256:95bee1549c01a964f5088bec259fa6865e81058fc78421b275954823fc87d1d1","target":"record","created_at":"2026-05-18T01:01:51Z","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":"733057704f7f86f68031998c661b4be021c52caa3797918884c7fd27874c56de","cross_cats_sorted":["cs.SI","nlin.AO","physics.bio-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-13T12:23:11Z","title_canon_sha256":"2f17712a73e0d3b758e269595b34496759b7bd04ea7540cd2bce7c7479c234c7"},"schema_version":"1.0","source":{"id":"1604.03731","kind":"arxiv","version":2}},"canonical_sha256":"6001e4ace09684144a3f103a7e9a6b1fa14cd2f7b4786e96ca451c44144cc2b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6001e4ace09684144a3f103a7e9a6b1fa14cd2f7b4786e96ca451c44144cc2b4","first_computed_at":"2026-05-18T01:01:51.870704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:51.870704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tkdFU/h/1sLOKT+7Ly2gW1Uq20aeqNlVc+kCGl2/kJgthM+4VIV4oDOjU8i/AfAjm9shF4BfKTcbm3RwZUSYAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:51.871372Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.03731","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95bee1549c01a964f5088bec259fa6865e81058fc78421b275954823fc87d1d1","sha256:22b1c086a472ea753cdf2e49a19c6510913c21a46920a31d63d7ec809497591e"],"state_sha256":"f3694b4e3285cc411f56eb065e81f322f6c9be87d5494496f1a75f6005da8c43"}