{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:EUJLZUJKB3HHLTEKLH5WMX5LKS","short_pith_number":"pith:EUJLZUJK","schema_version":"1.0","canonical_sha256":"2512bcd12a0ece75cc8a59fb665fab549bb0e3cdcea040a53084709e7d71c9fe","source":{"kind":"arxiv","id":"1309.7233","version":4},"attestation_state":"computed","paper":{"title":"Multilayer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Alexandre Arenas, James P. Gleeson, Marc Barthelemy, Mason A. Porter, Mikko Kivel\\\"a, Yamir Moreno","submitted_at":"2013-09-27T13:27:50Z","abstract_excerpt":"In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include multiple subsystems and layers of connectivity, and it is important to take such \"multilayer\" features into account to try to improve our understanding of complex systems. Consequently, it is necessary to generalize \"traditional\" network theory by developing (and validating) a framework and associated tools to study multilayer systems in a comprehensive fashio"},"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":"1309.7233","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2013-09-27T13:27:50Z","cross_cats_sorted":["cs.SI"],"title_canon_sha256":"ef09b8614e9c7d3dcf88bc9f482f52d9656c6638b382bbc4c397267209e87ad4","abstract_canon_sha256":"6786a47604dc6a06c3c81a0a443422869dd75a491b63270c1842bf992f3237f0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:08.451588Z","signature_b64":"pP4xfZPErI168ChTb4WWxPuZgygcv/tE8yMRIY30zzlNVurHvpdkZe67knbQ2YiHfPel0lLLcX6M0QPRU8oFAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2512bcd12a0ece75cc8a59fb665fab549bb0e3cdcea040a53084709e7d71c9fe","last_reissued_at":"2026-05-18T02:44:08.451057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:08.451057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multilayer Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SI"],"primary_cat":"physics.soc-ph","authors_text":"Alexandre Arenas, James P. Gleeson, Marc Barthelemy, Mason A. Porter, Mikko Kivel\\\"a, Yamir Moreno","submitted_at":"2013-09-27T13:27:50Z","abstract_excerpt":"In most natural and engineered systems, a set of entities interact with each other in complicated patterns that can encompass multiple types of relationships, change in time, and include other types of complications. Such systems include multiple subsystems and layers of connectivity, and it is important to take such \"multilayer\" features into account to try to improve our understanding of complex systems. Consequently, it is necessary to generalize \"traditional\" network theory by developing (and validating) a framework and associated tools to study multilayer systems in a comprehensive fashio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7233","kind":"arxiv","version":4},"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":"1309.7233","created_at":"2026-05-18T02:44:08.451135+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.7233v4","created_at":"2026-05-18T02:44:08.451135+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7233","created_at":"2026-05-18T02:44:08.451135+00:00"},{"alias_kind":"pith_short_12","alias_value":"EUJLZUJKB3HH","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"EUJLZUJKB3HHLTEK","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"EUJLZUJK","created_at":"2026-05-18T12:27:43.054852+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.19328","citing_title":"Scalable Substructure Discovery Algorithm For Homogeneous Multilayer Networks","ref_index":7,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS","json":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS.json","graph_json":"https://pith.science/api/pith-number/EUJLZUJKB3HHLTEKLH5WMX5LKS/graph.json","events_json":"https://pith.science/api/pith-number/EUJLZUJKB3HHLTEKLH5WMX5LKS/events.json","paper":"https://pith.science/paper/EUJLZUJK"},"agent_actions":{"view_html":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS","download_json":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS.json","view_paper":"https://pith.science/paper/EUJLZUJK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.7233&json=true","fetch_graph":"https://pith.science/api/pith-number/EUJLZUJKB3HHLTEKLH5WMX5LKS/graph.json","fetch_events":"https://pith.science/api/pith-number/EUJLZUJKB3HHLTEKLH5WMX5LKS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS/action/storage_attestation","attest_author":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS/action/author_attestation","sign_citation":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS/action/citation_signature","submit_replication":"https://pith.science/pith/EUJLZUJKB3HHLTEKLH5WMX5LKS/action/replication_record"}},"created_at":"2026-05-18T02:44:08.451135+00:00","updated_at":"2026-05-18T02:44:08.451135+00:00"}