{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FOFBNI6645JNDMWEMMAPY6AHYY","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":"10c454b18716125b9dfcd647629b4ea09fa52743f1fa100cc2ce6dc11a3dd4a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-21T16:58:45Z","title_canon_sha256":"3fc0e311d0f8d5e7a31785fa3a10a052834c4ac5a0aa804892d13f788be8d0ce"},"schema_version":"1.0","source":{"id":"1802.07664","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.07664","created_at":"2026-05-18T00:03:06Z"},{"alias_kind":"arxiv_version","alias_value":"1802.07664v3","created_at":"2026-05-18T00:03:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.07664","created_at":"2026-05-18T00:03:06Z"},{"alias_kind":"pith_short_12","alias_value":"FOFBNI6645JN","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"FOFBNI6645JNDMWE","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"FOFBNI66","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:d1e0cd84efdef461d306004d3a40a9ec4921172db2dde0c6916f4da4348916ea","target":"graph","created_at":"2026-05-18T00:03:06Z","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":"We study the robustness of flow networks against cascading failures under a partial load redistribution model. In particular, we consider a flow network of $N$ lines with initial loads $L_1, \\ldots, L_N$ and free-spaces (i.e., redundant space) $S_1, \\ldots, S_N$ that are independent and identically distributed with joint distribution $P_{LS}(x,y)=\\mathbb{P}(L \\leq x, S \\leq y)$. The capacity $C_i$ is the maximum load allowed on line $i$, and is given by $C_i=L_i + S_i$. When a line fails due to overloading, it is removed from the system and $(1-\\varepsilon)$-fraction of the load it was carryin","authors_text":"Bruno Sinopoli, Omur Ozel, Osman Yagan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-21T16:58:45Z","title":"Robustness of flow networks against cascading failures under partial load redistribution"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.07664","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:cc11506c1ed68c145dda40d71ac05f9a4a9264d69b295be08adf43e5f716cce3","target":"record","created_at":"2026-05-18T00:03:06Z","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":"10c454b18716125b9dfcd647629b4ea09fa52743f1fa100cc2ce6dc11a3dd4a7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2018-02-21T16:58:45Z","title_canon_sha256":"3fc0e311d0f8d5e7a31785fa3a10a052834c4ac5a0aa804892d13f788be8d0ce"},"schema_version":"1.0","source":{"id":"1802.07664","kind":"arxiv","version":3}},"canonical_sha256":"2b8a16a3dee752d1b2c46300fc7807c61387158fe91d9bf8f9c61e25cffdd3da","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2b8a16a3dee752d1b2c46300fc7807c61387158fe91d9bf8f9c61e25cffdd3da","first_computed_at":"2026-05-18T00:03:06.675530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:06.675530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+SGqd1GeOa5WAysGafN0W8X1U5tpkgty5GF6iCwVDwfuKxKEiXxJg5nDDNYH7N8MpetTTeVHqul2y5v6JoNmAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:06.676089Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.07664","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc11506c1ed68c145dda40d71ac05f9a4a9264d69b295be08adf43e5f716cce3","sha256:d1e0cd84efdef461d306004d3a40a9ec4921172db2dde0c6916f4da4348916ea"],"state_sha256":"620bdc4d7eafe78ef7b873358faaf9affc7890a3d4df33e791e053eecbeef282"}