{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7WFVNXIFENV72YJGX4B2NRQXTO","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f9c4608327a78a3d0e2b440af2d504b5d1ed6f2f2ff1781462d20ef6425b27ae","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-03-04T02:12:37Z","title_canon_sha256":"5a43ef18adf14e014846113ca995e3e3e92c2c7be8f4dceb2fd070e1b91b6ac7"},"schema_version":"1.0","source":{"id":"1703.01380","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.01380","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"arxiv_version","alias_value":"1703.01380v1","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.01380","created_at":"2026-05-18T00:49:30Z"},{"alias_kind":"pith_short_12","alias_value":"7WFVNXIFENV7","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7WFVNXIFENV72YJG","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7WFVNXIF","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:ed875b37482590dc0aedf233c328427e6c65dbc8e25c7c1b2be34dcfc94c7108","target":"graph","created_at":"2026-05-18T00:49:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"With increasing connectivity among comprising agents or (sub-)systems in large, complex systems, there is a growing interest in understanding interdependent security and dealing with inefficiency in security investments. Making use of a population game model and the well-known Chung-Lu random graph model, we study how one could encourage selfish agents to invest more in security by internalizing the externalities produced by their security investments.\n  To this end, we first establish an interesting relation between the local minimizers of social cost and the Nash equilibria of a population g","authors_text":"Richard J. La","cross_cats":["cs.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-03-04T02:12:37Z","title":"Internalization of Externalities in Interdependent Security: Large Network Cases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.01380","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d266183613048bcf2d2ec9370e3bb1e68360674a6bd69b43d8311efc8d7f7ee2","target":"record","created_at":"2026-05-18T00:49:30Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f9c4608327a78a3d0e2b440af2d504b5d1ed6f2f2ff1781462d20ef6425b27ae","cross_cats_sorted":["cs.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-03-04T02:12:37Z","title_canon_sha256":"5a43ef18adf14e014846113ca995e3e3e92c2c7be8f4dceb2fd070e1b91b6ac7"},"schema_version":"1.0","source":{"id":"1703.01380","kind":"arxiv","version":1}},"canonical_sha256":"fd8b56dd05236bfd6126bf03a6c6179ba6aa3f97bb9f71284c32bba2cc398828","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fd8b56dd05236bfd6126bf03a6c6179ba6aa3f97bb9f71284c32bba2cc398828","first_computed_at":"2026-05-18T00:49:30.935814Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:49:30.935814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y7fGw2NoVem+1JaZZsmM9VPHDg0XYcfJ8hFADZOyIK5QcI9f+wKWjABv7XDRWTHAsGJ7cbrFPwg09ne8d3HODw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:49:30.936585Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.01380","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d266183613048bcf2d2ec9370e3bb1e68360674a6bd69b43d8311efc8d7f7ee2","sha256:ed875b37482590dc0aedf233c328427e6c65dbc8e25c7c1b2be34dcfc94c7108"],"state_sha256":"1cd117259c6868ce611c6919751a4540ac91887dc7f19c0ff13d15470491a11a"}