{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:V2HRRAMQSEVZ2VJOESUXEF3PEC","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":"f6ec98e709c286dd65c2873396a57cc52d287dd551e3c1be5f2ab4f247da5bf2","cross_cats_sorted":["cs.SI","physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-13T11:35:48Z","title_canon_sha256":"2c3985e00be6d0b75e6df96777df5216312dac043d1311044d649ee7318be469"},"schema_version":"1.0","source":{"id":"1207.3205","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.3205","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"arxiv_version","alias_value":"1207.3205v2","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.3205","created_at":"2026-05-18T03:49:57Z"},{"alias_kind":"pith_short_12","alias_value":"V2HRRAMQSEVZ","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"V2HRRAMQSEVZ2VJO","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"V2HRRAMQ","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:93d7ad8feedf322e61494889ee6802985ea8dc69fa8fed751a1ba9adf677fcef","target":"graph","created_at":"2026-05-18T03:49:57Z","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":"A random network model which allows for tunable, quite general forms of clustering, degree correlation and degree distribution is defined. The model is an extension of the configuration model, in which stubs (half-edges) are paired to form a network. Clustering is obtained by forming small completely connected subgroups, and positive (negative) degree correlation is obtained by connecting a fraction of the stubs with stubs of similar (dissimilar) degree. An SIR (Susceptible -> Infective -> Recovered) epidemic model is defined on this network. Asymptotic properties of both the network and the e","authors_text":"David Sirl, Frank Ball, Tom Britton","cross_cats":["cs.SI","physics.soc-ph","q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-13T11:35:48Z","title":"A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.3205","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:db02a766283ad276e446bf66869cbb1aed4df805605f7bb0d0b6f9d8e82f7764","target":"record","created_at":"2026-05-18T03:49:57Z","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":"f6ec98e709c286dd65c2873396a57cc52d287dd551e3c1be5f2ab4f247da5bf2","cross_cats_sorted":["cs.SI","physics.soc-ph","q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2012-07-13T11:35:48Z","title_canon_sha256":"2c3985e00be6d0b75e6df96777df5216312dac043d1311044d649ee7318be469"},"schema_version":"1.0","source":{"id":"1207.3205","kind":"arxiv","version":2}},"canonical_sha256":"ae8f188190912b9d552e24a972176f20982fd26a25d0bae8a8c66b4494c0239f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ae8f188190912b9d552e24a972176f20982fd26a25d0bae8a8c66b4494c0239f","first_computed_at":"2026-05-18T03:49:57.742198Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:49:57.742198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9bllD/FM6yDZtK7dcAjcLXwIdPRVKXZAT2Ig1WvRZg1zvS6INfO5kgviZRzlFDFFtxqCodE+qviriHpt5qt8DA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:49:57.742662Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.3205","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db02a766283ad276e446bf66869cbb1aed4df805605f7bb0d0b6f9d8e82f7764","sha256:93d7ad8feedf322e61494889ee6802985ea8dc69fa8fed751a1ba9adf677fcef"],"state_sha256":"a3eedfdef0248b30566a0e6c9467b15438dfa9a1606200f84e712a458eba791c"}