{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:6X6L3IYIXPDAQXYMGUV2QOGDEX","short_pith_number":"pith:6X6L3IYI","schema_version":"1.0","canonical_sha256":"f5fcbda308bbc6085f0c352ba838c325efaa0eaee07e6f88865ae2ee9a340d74","source":{"kind":"arxiv","id":"1710.01355","version":1},"attestation_state":"computed","paper":{"title":"Epidemic spreading in modular time-varying networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Alessandro Rizzo, Enrico Ubaldi, Kaiyuan Sun, Matthieu Nadini, Michele Starnini, Nicola Perra","submitted_at":"2017-10-03T19:30:43Z","abstract_excerpt":"We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we study the epidemic size of Susceptible-Infected-Recovered, SIR, models and the epidemic threshold of Susceptible-Infected-Susceptible, SIS, models. Interestingly, we find that while the presence of tightly connected clusters inhibit SIR processes, it speeds up SIS diseases. In this case, we observe that heterogeneous temporal connectivity patterns and modular st"},"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":"1710.01355","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-10-03T19:30:43Z","cross_cats_sorted":[],"title_canon_sha256":"fa5a879a85dabb4c70a49e0cb8853c49a752cda1b48acfffa969db71d352b7a0","abstract_canon_sha256":"a59362fc1593f0eb81c4d597d61dbd7656accdf5de3c76ef5243eecfb23a0322"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:33:43.035539Z","signature_b64":"hgmGI5meDalVDcLJ7gu95YimKiKjcMmF3B3zmnCBfVLZJBkUNRY+x3HmqXeS54b1b5SX9KqbWcyB7qNIWrzUBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f5fcbda308bbc6085f0c352ba838c325efaa0eaee07e6f88865ae2ee9a340d74","last_reissued_at":"2026-05-18T00:33:43.034634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:33:43.034634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Epidemic spreading in modular time-varying networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Alessandro Rizzo, Enrico Ubaldi, Kaiyuan Sun, Matthieu Nadini, Michele Starnini, Nicola Perra","submitted_at":"2017-10-03T19:30:43Z","abstract_excerpt":"We investigate the effects of modular and temporal connectivity patterns on epidemic spreading. To this end, we introduce and analytically characterise a model of time-varying networks with tunable modularity. Within this framework, we study the epidemic size of Susceptible-Infected-Recovered, SIR, models and the epidemic threshold of Susceptible-Infected-Susceptible, SIS, models. Interestingly, we find that while the presence of tightly connected clusters inhibit SIR processes, it speeds up SIS diseases. In this case, we observe that heterogeneous temporal connectivity patterns and modular st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01355","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":""},"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":"1710.01355","created_at":"2026-05-18T00:33:43.034788+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.01355v1","created_at":"2026-05-18T00:33:43.034788+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01355","created_at":"2026-05-18T00:33:43.034788+00:00"},{"alias_kind":"pith_short_12","alias_value":"6X6L3IYIXPDA","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"6X6L3IYIXPDAQXYM","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"6X6L3IYI","created_at":"2026-05-18T12:31:03.183658+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/6X6L3IYIXPDAQXYMGUV2QOGDEX","json":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX.json","graph_json":"https://pith.science/api/pith-number/6X6L3IYIXPDAQXYMGUV2QOGDEX/graph.json","events_json":"https://pith.science/api/pith-number/6X6L3IYIXPDAQXYMGUV2QOGDEX/events.json","paper":"https://pith.science/paper/6X6L3IYI"},"agent_actions":{"view_html":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX","download_json":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX.json","view_paper":"https://pith.science/paper/6X6L3IYI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.01355&json=true","fetch_graph":"https://pith.science/api/pith-number/6X6L3IYIXPDAQXYMGUV2QOGDEX/graph.json","fetch_events":"https://pith.science/api/pith-number/6X6L3IYIXPDAQXYMGUV2QOGDEX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX/action/storage_attestation","attest_author":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX/action/author_attestation","sign_citation":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX/action/citation_signature","submit_replication":"https://pith.science/pith/6X6L3IYIXPDAQXYMGUV2QOGDEX/action/replication_record"}},"created_at":"2026-05-18T00:33:43.034788+00:00","updated_at":"2026-05-18T00:33:43.034788+00:00"}