{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:FKSJ5XETMJZR4JPJODH5UDZXYX","short_pith_number":"pith:FKSJ5XET","schema_version":"1.0","canonical_sha256":"2aa49edc9362731e25e970cfda0f37c5f9d1a8b2a8b1e6cb36fa6380cea44e9c","source":{"kind":"arxiv","id":"1512.05299","version":1},"attestation_state":"computed","paper":{"title":"Optimal resource allocation for competitive spreading processes on bilayer networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Cameron Nowzari, George J. Pappas, Nicholas J. Watkins, Victor M. Preciado","submitted_at":"2015-12-16T19:45:24Z","abstract_excerpt":"This paper studies the SI1SI2S spreading model of two competing behaviors over a bilayer network. We address the problem of determining resource allocation strategies which design a spreading network so as to ensure the extinction of a selected process. Our discussion begins by extending the SI1SI2S model to edge-dependent infection and node-dependent recovery parameters with generalized graph topologies, which builds upon prior work that studies the homogeneous case. We then find conditions under which the mean-field approximation of a chosen epidemic process stabilizes to extinction exponent"},"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":"1512.05299","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2015-12-16T19:45:24Z","cross_cats_sorted":[],"title_canon_sha256":"7ada07caf3ec8afd3e9c5e37a82845a74a73510542e9111691b51ec9a1bad590","abstract_canon_sha256":"41f48286e82e10b7c3b321b2d18ff5a786ebb964f089506b015c6872b37a19e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:24:13.167840Z","signature_b64":"x8ZnEDgFRqY/m6vInK7+sw+TjHHEDvLj/jIPd96fjnagOVNNntRJoty3Fp3ZcuyD/X1NaUIfaQoPsF29jjMuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2aa49edc9362731e25e970cfda0f37c5f9d1a8b2a8b1e6cb36fa6380cea44e9c","last_reissued_at":"2026-05-18T01:24:13.167501Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:24:13.167501Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal resource allocation for competitive spreading processes on bilayer networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Cameron Nowzari, George J. Pappas, Nicholas J. Watkins, Victor M. Preciado","submitted_at":"2015-12-16T19:45:24Z","abstract_excerpt":"This paper studies the SI1SI2S spreading model of two competing behaviors over a bilayer network. We address the problem of determining resource allocation strategies which design a spreading network so as to ensure the extinction of a selected process. Our discussion begins by extending the SI1SI2S model to edge-dependent infection and node-dependent recovery parameters with generalized graph topologies, which builds upon prior work that studies the homogeneous case. We then find conditions under which the mean-field approximation of a chosen epidemic process stabilizes to extinction exponent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.05299","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":"1512.05299","created_at":"2026-05-18T01:24:13.167551+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.05299v1","created_at":"2026-05-18T01:24:13.167551+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.05299","created_at":"2026-05-18T01:24:13.167551+00:00"},{"alias_kind":"pith_short_12","alias_value":"FKSJ5XETMJZR","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_16","alias_value":"FKSJ5XETMJZR4JPJ","created_at":"2026-05-18T12:29:19.899920+00:00"},{"alias_kind":"pith_short_8","alias_value":"FKSJ5XET","created_at":"2026-05-18T12:29:19.899920+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/FKSJ5XETMJZR4JPJODH5UDZXYX","json":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX.json","graph_json":"https://pith.science/api/pith-number/FKSJ5XETMJZR4JPJODH5UDZXYX/graph.json","events_json":"https://pith.science/api/pith-number/FKSJ5XETMJZR4JPJODH5UDZXYX/events.json","paper":"https://pith.science/paper/FKSJ5XET"},"agent_actions":{"view_html":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX","download_json":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX.json","view_paper":"https://pith.science/paper/FKSJ5XET","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.05299&json=true","fetch_graph":"https://pith.science/api/pith-number/FKSJ5XETMJZR4JPJODH5UDZXYX/graph.json","fetch_events":"https://pith.science/api/pith-number/FKSJ5XETMJZR4JPJODH5UDZXYX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX/action/storage_attestation","attest_author":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX/action/author_attestation","sign_citation":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX/action/citation_signature","submit_replication":"https://pith.science/pith/FKSJ5XETMJZR4JPJODH5UDZXYX/action/replication_record"}},"created_at":"2026-05-18T01:24:13.167551+00:00","updated_at":"2026-05-18T01:24:13.167551+00:00"}