{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NANGRC2XSZZQTKBNUIUWVB3A3H","short_pith_number":"pith:NANGRC2X","schema_version":"1.0","canonical_sha256":"681a688b57967309a82da2296a8760d9d3cf32e991844e96330f1486daa293f1","source":{"kind":"arxiv","id":"1412.3349","version":2},"attestation_state":"computed","paper":{"title":"Social contact processes and the partner model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Eric Foxall, P. van den Driessche, Roderick Edwards","submitted_at":"2014-12-10T15:59:52Z","abstract_excerpt":"We consider a stochastic model of infection spread on the complete graph on $N$ vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a variation on the contact process in which some form of edge dynamics determines the set of contacts at each moment in time. We identify a basic reproduction number $R_0$ with the property that if $R_0<1$ the infection dies out by time $O(\\log N)$, while if $R_0>1$ the infection survives for an amount of time $e^{\\gamma N}$ for some $\\gamma>0$ and hovers around a uniquely determined metastable proportion of infectiou"},"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":"1412.3349","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-12-10T15:59:52Z","cross_cats_sorted":[],"title_canon_sha256":"dafc0afb17b88be74df9083e4d319aa959903783d52b28e1e61832296252f41f","abstract_canon_sha256":"b0e3d42a9c7105eac798697ea4404bb8ecce839eb4bbab7d7c9bc0330240d60a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:01.900987Z","signature_b64":"9ITVN/zGBJjC1aT5NRLl8U0KDUWsAR6TdhAOd48zrsXei+i5/7ajZ8o05VMhstyOdxoOKGuPUkSP8Iqdv5kmDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"681a688b57967309a82da2296a8760d9d3cf32e991844e96330f1486daa293f1","last_reissued_at":"2026-05-18T01:12:01.900664Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:01.900664Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Social contact processes and the partner model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Eric Foxall, P. van den Driessche, Roderick Edwards","submitted_at":"2014-12-10T15:59:52Z","abstract_excerpt":"We consider a stochastic model of infection spread on the complete graph on $N$ vertices incorporating dynamic partnerships, which we assume to be monogamous. This can be seen as a variation on the contact process in which some form of edge dynamics determines the set of contacts at each moment in time. We identify a basic reproduction number $R_0$ with the property that if $R_0<1$ the infection dies out by time $O(\\log N)$, while if $R_0>1$ the infection survives for an amount of time $e^{\\gamma N}$ for some $\\gamma>0$ and hovers around a uniquely determined metastable proportion of infectiou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.3349","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.3349","created_at":"2026-05-18T01:12:01.900718+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.3349v2","created_at":"2026-05-18T01:12:01.900718+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.3349","created_at":"2026-05-18T01:12:01.900718+00:00"},{"alias_kind":"pith_short_12","alias_value":"NANGRC2XSZZQ","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NANGRC2XSZZQTKBN","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NANGRC2X","created_at":"2026-05-18T12:28:41.024544+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/NANGRC2XSZZQTKBNUIUWVB3A3H","json":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H.json","graph_json":"https://pith.science/api/pith-number/NANGRC2XSZZQTKBNUIUWVB3A3H/graph.json","events_json":"https://pith.science/api/pith-number/NANGRC2XSZZQTKBNUIUWVB3A3H/events.json","paper":"https://pith.science/paper/NANGRC2X"},"agent_actions":{"view_html":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H","download_json":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H.json","view_paper":"https://pith.science/paper/NANGRC2X","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.3349&json=true","fetch_graph":"https://pith.science/api/pith-number/NANGRC2XSZZQTKBNUIUWVB3A3H/graph.json","fetch_events":"https://pith.science/api/pith-number/NANGRC2XSZZQTKBNUIUWVB3A3H/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H/action/storage_attestation","attest_author":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H/action/author_attestation","sign_citation":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H/action/citation_signature","submit_replication":"https://pith.science/pith/NANGRC2XSZZQTKBNUIUWVB3A3H/action/replication_record"}},"created_at":"2026-05-18T01:12:01.900718+00:00","updated_at":"2026-05-18T01:12:01.900718+00:00"}