{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:55XSAAY65M2QPDNBFNEGT5X6JC","short_pith_number":"pith:55XSAAY6","schema_version":"1.0","canonical_sha256":"ef6f20031eeb35078da12b4869f6fe48a07a24d833fb2d0dc827b88160319071","source":{"kind":"arxiv","id":"2005.04487","version":1},"attestation_state":"computed","paper":{"title":"Correlated structural evolution within multiplex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Haochen Wu, James P. Crutchfield, Raissa M. D'Souza, Ryan G. James","submitted_at":"2020-05-09T18:12:38Z","abstract_excerpt":"Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a vibrant area of research. Yet, understanding how to quantify the correlations present between pairs of layers, and more so present in their co-evolution, is lacking. Such methods would enable us to address fundamental questions involving issues such as function, redundancy and potential disruptions. Here we show first how the edge-set of a multiplex network can"},"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":"2005.04487","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2020-05-09T18:12:38Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"4d55f503bc51c446661053ccff26d38b155a73e64d6696ae0d844121b7ed311e","abstract_canon_sha256":"90b4f5fa87d5f06530a7a87339cd7ae47d0565f929f7bd6262e713025de75777"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:01:44.394654Z","signature_b64":"euLlcLuaz8V422pG3d+vqu71QGIrATmg5jUh6dpy9bs+hvkunydYGkwKgufOcvq5NLO7hl4l3Ep5X8u7jNu5BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ef6f20031eeb35078da12b4869f6fe48a07a24d833fb2d0dc827b88160319071","last_reissued_at":"2026-07-05T01:01:44.394167Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:01:44.394167Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Correlated structural evolution within multiplex networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Haochen Wu, James P. Crutchfield, Raissa M. D'Souza, Ryan G. James","submitted_at":"2020-05-09T18:12:38Z","abstract_excerpt":"Many natural, engineered, and social systems can be represented using the framework of a layered network, where each layer captures a different type of interaction between the same set of nodes. The study of such multiplex networks is a vibrant area of research. Yet, understanding how to quantify the correlations present between pairs of layers, and more so present in their co-evolution, is lacking. Such methods would enable us to address fundamental questions involving issues such as function, redundancy and potential disruptions. Here we show first how the edge-set of a multiplex network can"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.04487","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/2005.04487/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":"2005.04487","created_at":"2026-07-05T01:01:44.394221+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.04487v1","created_at":"2026-07-05T01:01:44.394221+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.04487","created_at":"2026-07-05T01:01:44.394221+00:00"},{"alias_kind":"pith_short_12","alias_value":"55XSAAY65M2Q","created_at":"2026-07-05T01:01:44.394221+00:00"},{"alias_kind":"pith_short_16","alias_value":"55XSAAY65M2QPDNB","created_at":"2026-07-05T01:01:44.394221+00:00"},{"alias_kind":"pith_short_8","alias_value":"55XSAAY6","created_at":"2026-07-05T01:01:44.394221+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/55XSAAY65M2QPDNBFNEGT5X6JC","json":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC.json","graph_json":"https://pith.science/api/pith-number/55XSAAY65M2QPDNBFNEGT5X6JC/graph.json","events_json":"https://pith.science/api/pith-number/55XSAAY65M2QPDNBFNEGT5X6JC/events.json","paper":"https://pith.science/paper/55XSAAY6"},"agent_actions":{"view_html":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC","download_json":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC.json","view_paper":"https://pith.science/paper/55XSAAY6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.04487&json=true","fetch_graph":"https://pith.science/api/pith-number/55XSAAY65M2QPDNBFNEGT5X6JC/graph.json","fetch_events":"https://pith.science/api/pith-number/55XSAAY65M2QPDNBFNEGT5X6JC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC/action/storage_attestation","attest_author":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC/action/author_attestation","sign_citation":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC/action/citation_signature","submit_replication":"https://pith.science/pith/55XSAAY65M2QPDNBFNEGT5X6JC/action/replication_record"}},"created_at":"2026-07-05T01:01:44.394221+00:00","updated_at":"2026-07-05T01:01:44.394221+00:00"}