{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XBGKRLV7A6UXZ3IGGG7GFG4TU6","short_pith_number":"pith:XBGKRLV7","schema_version":"1.0","canonical_sha256":"b84ca8aebf07a97ced0631be629b93a78d712cc65a021e8b764497245dc6619f","source":{"kind":"arxiv","id":"1407.8513","version":1},"attestation_state":"computed","paper":{"title":"Link overlap, viability, and mutual percolation in multiplex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Byungjoon Min, K.-I. Goh, Kyu-Min Lee, Sangchul Lee","submitted_at":"2014-07-31T18:26:43Z","abstract_excerpt":"Many real-world complex systems are best modeled by multiplex networks. The multiplexity has proved to have broad impact on the system's structure and function. Most theoretical studies on multiplex networks to date, however, have largely ignored the effect of link overlap across layers despite strong empirical evidences for its significance. In this article, we investigate the effect of link overlap in the viability of multiplex networks, both analytically and numerically. Distinctive role of overlapping links in viability and mutual connectivity is emphasized and exploited for setting up pro"},"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":"1407.8513","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2014-07-31T18:26:43Z","cross_cats_sorted":["cond-mat.stat-mech","cs.SI"],"title_canon_sha256":"392723694d0bf8095b9f8fbe4672994a19de85da6449a075681943224bb29256","abstract_canon_sha256":"5fed87c10b882af506ba0bbc5a9f16446b8b67f4c09edb48ea5791026fa1cd9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:23.892864Z","signature_b64":"M1Q5k8CUjwUm2VzZ4JIqjzgaQ3WLbJ6+bN8YIxejvpNKLSqnc2FWk0bmYQj+XR77n17j/hlQdkwC6tPLrjY1Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b84ca8aebf07a97ced0631be629b93a78d712cc65a021e8b764497245dc6619f","last_reissued_at":"2026-05-18T00:39:23.892210Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:23.892210Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Link overlap, viability, and mutual percolation in multiplex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Byungjoon Min, K.-I. Goh, Kyu-Min Lee, Sangchul Lee","submitted_at":"2014-07-31T18:26:43Z","abstract_excerpt":"Many real-world complex systems are best modeled by multiplex networks. The multiplexity has proved to have broad impact on the system's structure and function. Most theoretical studies on multiplex networks to date, however, have largely ignored the effect of link overlap across layers despite strong empirical evidences for its significance. In this article, we investigate the effect of link overlap in the viability of multiplex networks, both analytically and numerically. Distinctive role of overlapping links in viability and mutual connectivity is emphasized and exploited for setting up pro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.8513","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":""},"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":"1407.8513","created_at":"2026-05-18T00:39:23.892330+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.8513v1","created_at":"2026-05-18T00:39:23.892330+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.8513","created_at":"2026-05-18T00:39:23.892330+00:00"},{"alias_kind":"pith_short_12","alias_value":"XBGKRLV7A6UX","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XBGKRLV7A6UXZ3IG","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XBGKRLV7","created_at":"2026-05-18T12:28:57.508820+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/XBGKRLV7A6UXZ3IGGG7GFG4TU6","json":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6.json","graph_json":"https://pith.science/api/pith-number/XBGKRLV7A6UXZ3IGGG7GFG4TU6/graph.json","events_json":"https://pith.science/api/pith-number/XBGKRLV7A6UXZ3IGGG7GFG4TU6/events.json","paper":"https://pith.science/paper/XBGKRLV7"},"agent_actions":{"view_html":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6","download_json":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6.json","view_paper":"https://pith.science/paper/XBGKRLV7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.8513&json=true","fetch_graph":"https://pith.science/api/pith-number/XBGKRLV7A6UXZ3IGGG7GFG4TU6/graph.json","fetch_events":"https://pith.science/api/pith-number/XBGKRLV7A6UXZ3IGGG7GFG4TU6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6/action/storage_attestation","attest_author":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6/action/author_attestation","sign_citation":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6/action/citation_signature","submit_replication":"https://pith.science/pith/XBGKRLV7A6UXZ3IGGG7GFG4TU6/action/replication_record"}},"created_at":"2026-05-18T00:39:23.892330+00:00","updated_at":"2026-05-18T00:39:23.892330+00:00"}