{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:OBMJ46C5IC2VTI4MDGDGDXN5KW","short_pith_number":"pith:OBMJ46C5","schema_version":"1.0","canonical_sha256":"70589e785d40b559a38c198661ddbd55806c4557fdbbfc3af19448a92dbd9383","source":{"kind":"arxiv","id":"1205.3188","version":2},"attestation_state":"computed","paper":{"title":"The robustness of interdependent clustered networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"H. Eugene Stanley, Huijuan Wang, Sergey V. Buldyrev, Shlomo Havlin, Shuai Shao, Xuqing Huang","submitted_at":"2012-05-14T20:23:46Z","abstract_excerpt":"It was recently found that cascading failures can cause the abrupt breakdown of a system of interdependent networks. Using the percolation method developed for single clustered networks by Newman [Phys. Rev. Lett. {\\bf 103}, 058701 (2009)], we develop an analytical method for studying how clustering within the networks of a system of interdependent networks affects the system's robustness. We find that clustering significantly increases the vulnerability of the system, which is represented by the increased value of the percolation threshold $p_c$ in interdependent networks."},"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":"1205.3188","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2012-05-14T20:23:46Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"0223cbd5e995ba22fff77251d1bf4862643b12d8aea8c245f3314a29d5bc4037","abstract_canon_sha256":"c22b7e3b7b0601072a429ab3cf80155bc663fbf27a978bf52d497241d996f9ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:32.806082Z","signature_b64":"XSTfaVrlmRIR8SEFaDCtrPeeTMVG8RkJcjgrMba6CwBPPoIvugjeJij4Tv7tWUj5C3TyvEDOvfRX024VnPD2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70589e785d40b559a38c198661ddbd55806c4557fdbbfc3af19448a92dbd9383","last_reissued_at":"2026-05-18T03:31:32.805127Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:32.805127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The robustness of interdependent clustered networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"H. Eugene Stanley, Huijuan Wang, Sergey V. Buldyrev, Shlomo Havlin, Shuai Shao, Xuqing Huang","submitted_at":"2012-05-14T20:23:46Z","abstract_excerpt":"It was recently found that cascading failures can cause the abrupt breakdown of a system of interdependent networks. Using the percolation method developed for single clustered networks by Newman [Phys. Rev. Lett. {\\bf 103}, 058701 (2009)], we develop an analytical method for studying how clustering within the networks of a system of interdependent networks affects the system's robustness. We find that clustering significantly increases the vulnerability of the system, which is represented by the increased value of the percolation threshold $p_c$ in interdependent networks."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.3188","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1205.3188","created_at":"2026-05-18T03:31:32.805290+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.3188v2","created_at":"2026-05-18T03:31:32.805290+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.3188","created_at":"2026-05-18T03:31:32.805290+00:00"},{"alias_kind":"pith_short_12","alias_value":"OBMJ46C5IC2V","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_16","alias_value":"OBMJ46C5IC2VTI4M","created_at":"2026-05-18T12:27:16.716162+00:00"},{"alias_kind":"pith_short_8","alias_value":"OBMJ46C5","created_at":"2026-05-18T12:27:16.716162+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/OBMJ46C5IC2VTI4MDGDGDXN5KW","json":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW.json","graph_json":"https://pith.science/api/pith-number/OBMJ46C5IC2VTI4MDGDGDXN5KW/graph.json","events_json":"https://pith.science/api/pith-number/OBMJ46C5IC2VTI4MDGDGDXN5KW/events.json","paper":"https://pith.science/paper/OBMJ46C5"},"agent_actions":{"view_html":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW","download_json":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW.json","view_paper":"https://pith.science/paper/OBMJ46C5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.3188&json=true","fetch_graph":"https://pith.science/api/pith-number/OBMJ46C5IC2VTI4MDGDGDXN5KW/graph.json","fetch_events":"https://pith.science/api/pith-number/OBMJ46C5IC2VTI4MDGDGDXN5KW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW/action/storage_attestation","attest_author":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW/action/author_attestation","sign_citation":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW/action/citation_signature","submit_replication":"https://pith.science/pith/OBMJ46C5IC2VTI4MDGDGDXN5KW/action/replication_record"}},"created_at":"2026-05-18T03:31:32.805290+00:00","updated_at":"2026-05-18T03:31:32.805290+00:00"}