{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:GPPKZH35YCYQXRORPYQCL7HFQL","short_pith_number":"pith:GPPKZH35","schema_version":"1.0","canonical_sha256":"33deac9f7dc0b10bc5d17e2025fce582e851b10f14149bcde94dc967404048f3","source":{"kind":"arxiv","id":"q-bio/0406013","version":1},"attestation_state":"computed","paper":{"title":"Polynomial epidemics and clustering in contact networks","license":"","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Bal\\'azs Szendr\\\"oi, G\\'abor Cs\\'anyi","submitted_at":"2004-06-04T21:12:53Z","abstract_excerpt":"It is widely known that the spread of the HIV virus was slower than exponential in several populations, even at the very beginning of the epidemic. We show that this implies a significant reduction in the effective reproductive rate of the epidemic, and describe a general mechanism, related to the clustering properties of the disease transmission network, capable of explaining this reduction. Our considerations provide a new angle on polynomial epidemic processes, and may have implications for the choice of strategy against such epidemics."},"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":"q-bio/0406013","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"q-bio.PE","submitted_at":"2004-06-04T21:12:53Z","cross_cats_sorted":[],"title_canon_sha256":"ff1f86797a6059fdb98ccfdbfebd4588586fa94effda4683dff2f767237cb873","abstract_canon_sha256":"b2bf52a10e22c7e6b49f2dcf4c6e5b7e436f635f42acef88adb3a2c384753cb2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:45:10.864582Z","signature_b64":"11DV6uLUVLQoxPxbpB5PeJfibuN42dArgQ88AZexojcT6MqS4+p0HSxvR1fLUAXWOiM26eSjPDCFH90tKwMVDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"33deac9f7dc0b10bc5d17e2025fce582e851b10f14149bcde94dc967404048f3","last_reissued_at":"2026-07-04T14:45:10.864198Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:45:10.864198Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Polynomial epidemics and clustering in contact networks","license":"","headline":"","cross_cats":[],"primary_cat":"q-bio.PE","authors_text":"Bal\\'azs Szendr\\\"oi, G\\'abor Cs\\'anyi","submitted_at":"2004-06-04T21:12:53Z","abstract_excerpt":"It is widely known that the spread of the HIV virus was slower than exponential in several populations, even at the very beginning of the epidemic. We show that this implies a significant reduction in the effective reproductive rate of the epidemic, and describe a general mechanism, related to the clustering properties of the disease transmission network, capable of explaining this reduction. Our considerations provide a new angle on polynomial epidemic processes, and may have implications for the choice of strategy against such epidemics."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"q-bio/0406013","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/q-bio/0406013/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"q-bio/0406013","created_at":"2026-07-04T14:45:10.864253+00:00"},{"alias_kind":"arxiv_version","alias_value":"q-bio/0406013v1","created_at":"2026-07-04T14:45:10.864253+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.q-bio/0406013","created_at":"2026-07-04T14:45:10.864253+00:00"},{"alias_kind":"pith_short_12","alias_value":"GPPKZH35YCYQ","created_at":"2026-07-04T14:45:10.864253+00:00"},{"alias_kind":"pith_short_16","alias_value":"GPPKZH35YCYQXROR","created_at":"2026-07-04T14:45:10.864253+00:00"},{"alias_kind":"pith_short_8","alias_value":"GPPKZH35","created_at":"2026-07-04T14:45:10.864253+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/GPPKZH35YCYQXRORPYQCL7HFQL","json":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL.json","graph_json":"https://pith.science/api/pith-number/GPPKZH35YCYQXRORPYQCL7HFQL/graph.json","events_json":"https://pith.science/api/pith-number/GPPKZH35YCYQXRORPYQCL7HFQL/events.json","paper":"https://pith.science/paper/GPPKZH35"},"agent_actions":{"view_html":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL","download_json":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL.json","view_paper":"https://pith.science/paper/GPPKZH35","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=q-bio/0406013&json=true","fetch_graph":"https://pith.science/api/pith-number/GPPKZH35YCYQXRORPYQCL7HFQL/graph.json","fetch_events":"https://pith.science/api/pith-number/GPPKZH35YCYQXRORPYQCL7HFQL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL/action/storage_attestation","attest_author":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL/action/author_attestation","sign_citation":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL/action/citation_signature","submit_replication":"https://pith.science/pith/GPPKZH35YCYQXRORPYQCL7HFQL/action/replication_record"}},"created_at":"2026-07-04T14:45:10.864253+00:00","updated_at":"2026-07-04T14:45:10.864253+00:00"}