{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:SQX46SMBUTPPTYEGOFDBV7E4RW","short_pith_number":"pith:SQX46SMB","schema_version":"1.0","canonical_sha256":"942fcf4981a4def9e08671461afc9c8dbde5c53cca02bbd04655c7da305ef5a8","source":{"kind":"arxiv","id":"1708.01951","version":1},"attestation_state":"computed","paper":{"title":"Diffusion Dynamics and Optimal Coupling in Directed Multiplex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"Alejandro Tejedor, Anthony Longjas, Efi Foufoula-Georgiou, Tryphon Georgiou, Yamir Moreno","submitted_at":"2017-08-07T00:29:11Z","abstract_excerpt":"We study the dynamics of diffusion processes acting on directed multiplex networks, i.e., coupled multilayer networks where at least one layer consists of a directed graph. We reveal that directed multiplex networks may exhibit a faster diffusion at an intermediate degree of coupling than when the two layers are fully coupled. We use three simple multiplex examples and a real-world topology to illustrate the characteristics of the directed dynamics that give rise to a regime in which an optimal coupling exists. Given the ubiquity of both directed and multilayer networks in nature, our results "},"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":"1708.01951","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2017-08-07T00:29:11Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"15d9d65a44df1da18e55a34ac598c3e665274f2bfa251d665bcf8d8d8179b8a9","abstract_canon_sha256":"742ec62a119d766df122876e57f39fe3cc0d3895800e17c30301452ae190c0c0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:50.335452Z","signature_b64":"1TJHFlIWzAnBXheKgs81Qu9eHJSOTJ1mleMaMjx6RaBur8rsJhD5NrTpH9wnaOxdiqY5TfrSuA5O1c6dbKLXBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"942fcf4981a4def9e08671461afc9c8dbde5c53cca02bbd04655c7da305ef5a8","last_reissued_at":"2026-05-18T00:04:50.334742Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:50.334742Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Diffusion Dynamics and Optimal Coupling in Directed Multiplex Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"physics.soc-ph","authors_text":"Alejandro Tejedor, Anthony Longjas, Efi Foufoula-Georgiou, Tryphon Georgiou, Yamir Moreno","submitted_at":"2017-08-07T00:29:11Z","abstract_excerpt":"We study the dynamics of diffusion processes acting on directed multiplex networks, i.e., coupled multilayer networks where at least one layer consists of a directed graph. We reveal that directed multiplex networks may exhibit a faster diffusion at an intermediate degree of coupling than when the two layers are fully coupled. We use three simple multiplex examples and a real-world topology to illustrate the characteristics of the directed dynamics that give rise to a regime in which an optimal coupling exists. Given the ubiquity of both directed and multilayer networks in nature, our results "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.01951","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":"1708.01951","created_at":"2026-05-18T00:04:50.334839+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.01951v1","created_at":"2026-05-18T00:04:50.334839+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.01951","created_at":"2026-05-18T00:04:50.334839+00:00"},{"alias_kind":"pith_short_12","alias_value":"SQX46SMBUTPP","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_16","alias_value":"SQX46SMBUTPPTYEG","created_at":"2026-05-18T12:31:43.269735+00:00"},{"alias_kind":"pith_short_8","alias_value":"SQX46SMB","created_at":"2026-05-18T12:31:43.269735+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/SQX46SMBUTPPTYEGOFDBV7E4RW","json":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW.json","graph_json":"https://pith.science/api/pith-number/SQX46SMBUTPPTYEGOFDBV7E4RW/graph.json","events_json":"https://pith.science/api/pith-number/SQX46SMBUTPPTYEGOFDBV7E4RW/events.json","paper":"https://pith.science/paper/SQX46SMB"},"agent_actions":{"view_html":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW","download_json":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW.json","view_paper":"https://pith.science/paper/SQX46SMB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.01951&json=true","fetch_graph":"https://pith.science/api/pith-number/SQX46SMBUTPPTYEGOFDBV7E4RW/graph.json","fetch_events":"https://pith.science/api/pith-number/SQX46SMBUTPPTYEGOFDBV7E4RW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW/action/storage_attestation","attest_author":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW/action/author_attestation","sign_citation":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW/action/citation_signature","submit_replication":"https://pith.science/pith/SQX46SMBUTPPTYEGOFDBV7E4RW/action/replication_record"}},"created_at":"2026-05-18T00:04:50.334839+00:00","updated_at":"2026-05-18T00:04:50.334839+00:00"}