{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:4PBTYQYGIXYMZIMCJMO2UPJ2EO","short_pith_number":"pith:4PBTYQYG","schema_version":"1.0","canonical_sha256":"e3c33c430645f0cca1824b1daa3d3a23ae519c504de241465300ef1fc59c2372","source":{"kind":"arxiv","id":"1909.00774","version":1},"attestation_state":"computed","paper":{"title":"Collective effects of link failures in linear flow networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Dirk Witthaut, Franz Kaiser, Julius Strake","submitted_at":"2019-09-02T15:55:21Z","abstract_excerpt":"The smooth operation of supply networks is crucial for the proper functioning of many systems, ranging from biological organisms such as the human blood transport system or plant leaves to man-made systems such as power grids or gas pipelines. Whereas the failure of single transmission elements has been analysed thoroughly for power grids, the understanding of multiple failures is becoming more and more important to prevent large scale outages with an increasing penetration of renewable energy sources. In this publication, we examine the collective nature of the simultaneous failure of several"},"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":"1909.00774","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-09-02T15:55:21Z","cross_cats_sorted":[],"title_canon_sha256":"0183055a01b6587352373ba20fc5ec3f2e50e60ee3fd0058d08bff4ed4a4b63b","abstract_canon_sha256":"8ad1f85e612ef5e4da6553666c5a5b4d663aae0d88aaa32237fcc7e2636425a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:32:13.626011Z","signature_b64":"qH/nApZ5hzIlnWmy5UCrqDOHCoqDzLRzE3ZhHtLQRlKGAWrwZ28HLBVqHKlnBcIiQo0Yu1xYf96hXyEiXBJODg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3c33c430645f0cca1824b1daa3d3a23ae519c504de241465300ef1fc59c2372","last_reissued_at":"2026-07-05T00:32:13.625522Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:32:13.625522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Collective effects of link failures in linear flow networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.soc-ph","authors_text":"Dirk Witthaut, Franz Kaiser, Julius Strake","submitted_at":"2019-09-02T15:55:21Z","abstract_excerpt":"The smooth operation of supply networks is crucial for the proper functioning of many systems, ranging from biological organisms such as the human blood transport system or plant leaves to man-made systems such as power grids or gas pipelines. Whereas the failure of single transmission elements has been analysed thoroughly for power grids, the understanding of multiple failures is becoming more and more important to prevent large scale outages with an increasing penetration of renewable energy sources. In this publication, we examine the collective nature of the simultaneous failure of several"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1909.00774","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1909.00774/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1909.00774","created_at":"2026-07-05T00:32:13.625590+00:00"},{"alias_kind":"arxiv_version","alias_value":"1909.00774v1","created_at":"2026-07-05T00:32:13.625590+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1909.00774","created_at":"2026-07-05T00:32:13.625590+00:00"},{"alias_kind":"pith_short_12","alias_value":"4PBTYQYGIXYM","created_at":"2026-07-05T00:32:13.625590+00:00"},{"alias_kind":"pith_short_16","alias_value":"4PBTYQYGIXYMZIMC","created_at":"2026-07-05T00:32:13.625590+00:00"},{"alias_kind":"pith_short_8","alias_value":"4PBTYQYG","created_at":"2026-07-05T00:32:13.625590+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/4PBTYQYGIXYMZIMCJMO2UPJ2EO","json":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO.json","graph_json":"https://pith.science/api/pith-number/4PBTYQYGIXYMZIMCJMO2UPJ2EO/graph.json","events_json":"https://pith.science/api/pith-number/4PBTYQYGIXYMZIMCJMO2UPJ2EO/events.json","paper":"https://pith.science/paper/4PBTYQYG"},"agent_actions":{"view_html":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO","download_json":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO.json","view_paper":"https://pith.science/paper/4PBTYQYG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1909.00774&json=true","fetch_graph":"https://pith.science/api/pith-number/4PBTYQYGIXYMZIMCJMO2UPJ2EO/graph.json","fetch_events":"https://pith.science/api/pith-number/4PBTYQYGIXYMZIMCJMO2UPJ2EO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO/action/storage_attestation","attest_author":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO/action/author_attestation","sign_citation":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO/action/citation_signature","submit_replication":"https://pith.science/pith/4PBTYQYGIXYMZIMCJMO2UPJ2EO/action/replication_record"}},"created_at":"2026-07-05T00:32:13.625590+00:00","updated_at":"2026-07-05T00:32:13.625590+00:00"}