{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:NJPLPAWR5M22MQMMJPCNY4LHNC","short_pith_number":"pith:NJPLPAWR","schema_version":"1.0","canonical_sha256":"6a5eb782d1eb35a6418c4bc4dc71676881d1b922f933676c74b0819702343116","source":{"kind":"arxiv","id":"physics/0611095","version":2},"attestation_state":"computed","paper":{"title":"Epidemic spreading and immunization with identical infectivity","license":"","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.soc-ph","authors_text":"Bing-Hong Wang, Jie Ren, Ming-Feng Zhang, Rui Yang, Tao Zhou, Wen-Jie Bai","submitted_at":"2006-11-09T15:52:41Z","abstract_excerpt":"In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks, the density of the infected nodes shows the existence of threshold, whose value equals 1/A, both demonstrated by analysis and numerical simulation. The infected population grows in an exponential form and follows hierarchical dynamics, indicating that once the highly connected hubs are reached, the infection pervades almost the whole network in a progressive "},"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":"physics/0611095","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"physics.soc-ph","submitted_at":"2006-11-09T15:52:41Z","cross_cats_sorted":["physics.bio-ph"],"title_canon_sha256":"ed700757c409a1145db768ddfdc9545a27100eba54914baf8f060a565fb9371c","abstract_canon_sha256":"422dad60035c5f710b0ca030a2d9bf38b64de416225b22e1d05a3b8484b8cb8b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:00:42.525832Z","signature_b64":"7pwor9W85/IDLxth4ewaMZ+8oaQk2UeobppkpYOeEGGMxJk7FLcIXucRpEDGN9PZw1Nwt657rrXIW64KWEA/AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6a5eb782d1eb35a6418c4bc4dc71676881d1b922f933676c74b0819702343116","last_reissued_at":"2026-07-04T15:00:42.525434Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:00:42.525434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Epidemic spreading and immunization with identical infectivity","license":"","headline":"","cross_cats":["physics.bio-ph"],"primary_cat":"physics.soc-ph","authors_text":"Bing-Hong Wang, Jie Ren, Ming-Feng Zhang, Rui Yang, Tao Zhou, Wen-Jie Bai","submitted_at":"2006-11-09T15:52:41Z","abstract_excerpt":"In this paper, a susceptible-infected-susceptible (SIS) model with identical infectivity, where each node is assigned with the same capability of active contacts, $A$, at each time step, is presented. We found that on scale-free networks, the density of the infected nodes shows the existence of threshold, whose value equals 1/A, both demonstrated by analysis and numerical simulation. The infected population grows in an exponential form and follows hierarchical dynamics, indicating that once the highly connected hubs are reached, the infection pervades almost the whole network in a progressive "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"physics/0611095","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/physics/0611095/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":"physics/0611095","created_at":"2026-07-04T15:00:42.525496+00:00"},{"alias_kind":"arxiv_version","alias_value":"physics/0611095v2","created_at":"2026-07-04T15:00:42.525496+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.physics/0611095","created_at":"2026-07-04T15:00:42.525496+00:00"},{"alias_kind":"pith_short_12","alias_value":"NJPLPAWR5M22","created_at":"2026-07-04T15:00:42.525496+00:00"},{"alias_kind":"pith_short_16","alias_value":"NJPLPAWR5M22MQMM","created_at":"2026-07-04T15:00:42.525496+00:00"},{"alias_kind":"pith_short_8","alias_value":"NJPLPAWR","created_at":"2026-07-04T15:00:42.525496+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/NJPLPAWR5M22MQMMJPCNY4LHNC","json":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC.json","graph_json":"https://pith.science/api/pith-number/NJPLPAWR5M22MQMMJPCNY4LHNC/graph.json","events_json":"https://pith.science/api/pith-number/NJPLPAWR5M22MQMMJPCNY4LHNC/events.json","paper":"https://pith.science/paper/NJPLPAWR"},"agent_actions":{"view_html":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC","download_json":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC.json","view_paper":"https://pith.science/paper/NJPLPAWR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=physics/0611095&json=true","fetch_graph":"https://pith.science/api/pith-number/NJPLPAWR5M22MQMMJPCNY4LHNC/graph.json","fetch_events":"https://pith.science/api/pith-number/NJPLPAWR5M22MQMMJPCNY4LHNC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC/action/storage_attestation","attest_author":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC/action/author_attestation","sign_citation":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC/action/citation_signature","submit_replication":"https://pith.science/pith/NJPLPAWR5M22MQMMJPCNY4LHNC/action/replication_record"}},"created_at":"2026-07-04T15:00:42.525496+00:00","updated_at":"2026-07-04T15:00:42.525496+00:00"}