{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:F4XGYX3SCZHEOG5OPW2S62NPCE","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":"bf3663ab33aa0d67a320e33618d78ca87cd9d80d807ab7e22c452d8acf27cb3f","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2016-07-25T23:01:52Z","title_canon_sha256":"e331194540b796bf7b7567764cbd54ab6c229561bf823f65ebb90f72a527af66"},"schema_version":"1.0","source":{"id":"1607.07502","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07502","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07502v1","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07502","created_at":"2026-05-18T01:10:28Z"},{"alias_kind":"pith_short_12","alias_value":"F4XGYX3SCZHE","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"F4XGYX3SCZHEOG5O","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"F4XGYX3S","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:9235da17ad812fc15b564f99d8c2738d87b80cd1e06a6ab3b4f13eb1b578f556","target":"graph","created_at":"2026-05-18T01:10:28Z","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":"The increasing complexity and interdependency of today's networks highlight the importance of studying network robustness to failure and attacks. Many large-scale networks are prone to cascading effects where a limited number of initial failures (due to attacks, natural hazards or resource depletion) propagate through a dependent mechanism, ultimately leading to a global failure scenario where a substantial fraction of the network loses its functionality. These cascading failure scenarios often take place in networks which are embedded in space and constrained by geometry. Building on previous","authors_text":"Edmund Yeh, Khashayar Kamran","cross_cats":["physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2016-07-25T23:01:52Z","title":"Cascading Node Failure with Continuous States in Random Geometric Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07502","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":"sha256:7049569b218340cde54f53074bf5df354278f44328ce04a033314899199f5c55","target":"record","created_at":"2026-05-18T01:10:28Z","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":"bf3663ab33aa0d67a320e33618d78ca87cd9d80d807ab7e22c452d8acf27cb3f","cross_cats_sorted":["physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2016-07-25T23:01:52Z","title_canon_sha256":"e331194540b796bf7b7567764cbd54ab6c229561bf823f65ebb90f72a527af66"},"schema_version":"1.0","source":{"id":"1607.07502","kind":"arxiv","version":1}},"canonical_sha256":"2f2e6c5f72164e471bae7db52f69af110c17e25dea6bc2a556c78b45933db961","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f2e6c5f72164e471bae7db52f69af110c17e25dea6bc2a556c78b45933db961","first_computed_at":"2026-05-18T01:10:28.426977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:10:28.426977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+M8pt7xbmjibwLlyGRxjnjVQTsNDxEHqf7nFQOwB6X2QfLvH/TLRhJVKPcD86nJytEu4RM+3cUH/EjZJWWBGBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:10:28.427451Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07502","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7049569b218340cde54f53074bf5df354278f44328ce04a033314899199f5c55","sha256:9235da17ad812fc15b564f99d8c2738d87b80cd1e06a6ab3b4f13eb1b578f556"],"state_sha256":"c351b69d4f70bfb4798bd530efcae9e93d2601ad72f62de865580161d191f0f5"}