{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HV7SB5FY72227QLO3KRKA4HQ5O","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":"3f20a7d7683d74a02599f9bbccdce5a4c7dfc2aa42d2d494f01b7af93ec91aac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-23T19:56:05Z","title_canon_sha256":"9f9c78599fff524a48acf697b5a9a7a8e97580a59720f620c5192740d0010677"},"schema_version":"1.0","source":{"id":"1310.6345","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.6345","created_at":"2026-05-18T02:59:34Z"},{"alias_kind":"arxiv_version","alias_value":"1310.6345v3","created_at":"2026-05-18T02:59:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.6345","created_at":"2026-05-18T02:59:34Z"},{"alias_kind":"pith_short_12","alias_value":"HV7SB5FY7222","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HV7SB5FY72227QLO","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HV7SB5FY","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:4cd3ff1bf8dcd9f708872203dfabc6149e1443d200f07df960fd6b1d2570f8cc","target":"graph","created_at":"2026-05-18T02:59:34Z","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":"Many man-made networks support each other to provide efficient services and resources to the customers, despite that this support produces a strong interdependency between the individual networks. Thus an initial failure of a fraction $1-p$ of nodes in one network, exposes the system to cascade of failures and, as a consequence, to a full collapse of the overall system. Therefore it is important to develop efficient strategies to avoid the collapse by increasing the robustness of the individual networks against failures. Here, we provide an exact theoretical approach to study the evolution of ","authors_text":"L.A. Braunstein, L.D. Valdez, P.A. Macri","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-23T19:56:05Z","title":"Triple point induced by targeted autonomization on interdependent scale free networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.6345","kind":"arxiv","version":3},"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":"sha256:4855703c8a3f5abf9e8daaa598db9ea82caad548721b4f6f2b7099da5068fb96","target":"record","created_at":"2026-05-18T02:59:34Z","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":"3f20a7d7683d74a02599f9bbccdce5a4c7dfc2aa42d2d494f01b7af93ec91aac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-10-23T19:56:05Z","title_canon_sha256":"9f9c78599fff524a48acf697b5a9a7a8e97580a59720f620c5192740d0010677"},"schema_version":"1.0","source":{"id":"1310.6345","kind":"arxiv","version":3}},"canonical_sha256":"3d7f20f4b8feb5afc16edaa2a070f0eb9378e07f2e372fa56d5c99cbf7216603","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3d7f20f4b8feb5afc16edaa2a070f0eb9378e07f2e372fa56d5c99cbf7216603","first_computed_at":"2026-05-18T02:59:34.328218Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:59:34.328218Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kIDSFFo/lismMBFebgX9Rx0AZbhSmnLvSyI+DGS5W82aCKlrtKHE9O2O00bB862MBcFx78hZ6sq9o5SV4ubyBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:59:34.328943Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.6345","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4855703c8a3f5abf9e8daaa598db9ea82caad548721b4f6f2b7099da5068fb96","sha256:4cd3ff1bf8dcd9f708872203dfabc6149e1443d200f07df960fd6b1d2570f8cc"],"state_sha256":"e810a2ac41f01310c562cb5998c2fad5b9316b4bcc75476fb535afab7173939a"}