{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:TO5H6HLHBRDL4QIKSL7AFUWJQB","short_pith_number":"pith:TO5H6HLH","schema_version":"1.0","canonical_sha256":"9bba7f1d670c46be410a92fe02d2c9807caec9a8a88857bd2dcdf54c969f8aab","source":{"kind":"arxiv","id":"1309.6270","version":2},"attestation_state":"computed","paper":{"title":"Optimal Resource Allocation for Network Protection Against Spreading Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","physics.soc-ph"],"primary_cat":"math.OC","authors_text":"Ali Jadbabaie, Chinwendu Enyioha, George Pappas, Michael Zargham, Victor M. Preciado","submitted_at":"2013-09-24T18:00:59Z","abstract_excerpt":"We study the problem of containing spreading processes in arbitrary directed networks by distributing protection resources throughout the nodes of the network. We consider two types of protection resources are available: (i) Preventive resources able to defend nodes against the spreading (such as vaccines in a viral infection process), and (ii) corrective resources able to neutralize the spreading after it has reached a node (such as antidotes). We assume that both preventive and corrective resources have an associated cost and study the problem of finding the cost-optimal distribution of reso"},"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":"1309.6270","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-09-24T18:00:59Z","cross_cats_sorted":["cs.SY","physics.soc-ph"],"title_canon_sha256":"c34ec45defccbe6da2db4befde8aad41a4218e53fb042a5fb3fbd9be08a78a81","abstract_canon_sha256":"bab76586fb334db34215fa066769e67c57cc2a9abf51210a8496f1cdfcc61fbc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:16.781922Z","signature_b64":"IBdp69OojlZiwjG3Vxsnx7XvW+Sw1AY96GqN6PRHeNWnsee7vsqsRGYlSDVXwzqmQFxu9jE6fc5OwfbizZLICA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bba7f1d670c46be410a92fe02d2c9807caec9a8a88857bd2dcdf54c969f8aab","last_reissued_at":"2026-05-18T00:58:16.781233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:16.781233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimal Resource Allocation for Network Protection Against Spreading Processes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","physics.soc-ph"],"primary_cat":"math.OC","authors_text":"Ali Jadbabaie, Chinwendu Enyioha, George Pappas, Michael Zargham, Victor M. Preciado","submitted_at":"2013-09-24T18:00:59Z","abstract_excerpt":"We study the problem of containing spreading processes in arbitrary directed networks by distributing protection resources throughout the nodes of the network. We consider two types of protection resources are available: (i) Preventive resources able to defend nodes against the spreading (such as vaccines in a viral infection process), and (ii) corrective resources able to neutralize the spreading after it has reached a node (such as antidotes). We assume that both preventive and corrective resources have an associated cost and study the problem of finding the cost-optimal distribution of reso"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.6270","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":"1309.6270","created_at":"2026-05-18T00:58:16.781364+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.6270v2","created_at":"2026-05-18T00:58:16.781364+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.6270","created_at":"2026-05-18T00:58:16.781364+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO5H6HLHBRDL","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO5H6HLHBRDL4QIK","created_at":"2026-05-18T12:28:02.375192+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO5H6HLH","created_at":"2026-05-18T12:28:02.375192+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/TO5H6HLHBRDL4QIKSL7AFUWJQB","json":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB.json","graph_json":"https://pith.science/api/pith-number/TO5H6HLHBRDL4QIKSL7AFUWJQB/graph.json","events_json":"https://pith.science/api/pith-number/TO5H6HLHBRDL4QIKSL7AFUWJQB/events.json","paper":"https://pith.science/paper/TO5H6HLH"},"agent_actions":{"view_html":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB","download_json":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB.json","view_paper":"https://pith.science/paper/TO5H6HLH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.6270&json=true","fetch_graph":"https://pith.science/api/pith-number/TO5H6HLHBRDL4QIKSL7AFUWJQB/graph.json","fetch_events":"https://pith.science/api/pith-number/TO5H6HLHBRDL4QIKSL7AFUWJQB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB/action/storage_attestation","attest_author":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB/action/author_attestation","sign_citation":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB/action/citation_signature","submit_replication":"https://pith.science/pith/TO5H6HLHBRDL4QIKSL7AFUWJQB/action/replication_record"}},"created_at":"2026-05-18T00:58:16.781364+00:00","updated_at":"2026-05-18T00:58:16.781364+00:00"}