{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZKUEO6RCIWEXFXFIAQFPJSG22Q","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"86e34133c3f49a08d40cdd4d0465d7585d7e4aa745525204f03a2b40e9da148e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-03-30T18:42:03Z","title_canon_sha256":"bacd2e5d1e413b6fcd3a6edcfc2d22659fb965f8937f634e8869f99b8a208e1f"},"schema_version":"1.0","source":{"id":"1904.00265","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.00265","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"arxiv_version","alias_value":"1904.00265v1","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.00265","created_at":"2026-05-17T23:49:48Z"},{"alias_kind":"pith_short_12","alias_value":"ZKUEO6RCIWEX","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_16","alias_value":"ZKUEO6RCIWEXFXFI","created_at":"2026-05-18T12:33:33Z"},{"alias_kind":"pith_short_8","alias_value":"ZKUEO6RC","created_at":"2026-05-18T12:33:33Z"}],"graph_snapshots":[{"event_id":"sha256:59989f5f1f6540c3a9f9ad28fda2a124351dc9de686a4160f498f57af3e879bd","target":"graph","created_at":"2026-05-17T23:49:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Diffusion describes the motion of microscopic entities from regions of high concentration to regions of low concentration. In multiplex networks, flows can occur both within and across layers, and super-diffusion, a regime where the time scale of the multiplex to reach equilibrium is smaller than that of single networks in isolation, can emerge due to the interplay of these two mechanisms. In the limits of strong and weak inter-layer couplings multiplex diffusion has been linked to the spectrum of the supra-Laplacian associated to the system. However, a general theory for the emergence of this","authors_text":"Federico Battiston, Giulia Cencetti","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-03-30T18:42:03Z","title":"Diffusive behavior of multiplex networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.00265","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:b758a6f15223090ac1dd48ab8514f727c85f069c04b9fbd96d5c15d5f7bc25a6","target":"record","created_at":"2026-05-17T23:49:48Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"86e34133c3f49a08d40cdd4d0465d7585d7e4aa745525204f03a2b40e9da148e","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2019-03-30T18:42:03Z","title_canon_sha256":"bacd2e5d1e413b6fcd3a6edcfc2d22659fb965f8937f634e8869f99b8a208e1f"},"schema_version":"1.0","source":{"id":"1904.00265","kind":"arxiv","version":1}},"canonical_sha256":"caa8477a22458972dca8040af4c8dad40ce1ca67ebcc7e2e7e3694c440d18f0c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"caa8477a22458972dca8040af4c8dad40ce1ca67ebcc7e2e7e3694c440d18f0c","first_computed_at":"2026-05-17T23:49:48.972151Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:49:48.972151Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"moqg03/WgApATeSreuvs7ZEj6pQXPgwubI0Tdzj1+3jdnh+m6Ccm0mzPwnIJ+dS+RCydVhJiTp7bhlEc5W42DA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:49:48.972759Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.00265","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b758a6f15223090ac1dd48ab8514f727c85f069c04b9fbd96d5c15d5f7bc25a6","sha256:59989f5f1f6540c3a9f9ad28fda2a124351dc9de686a4160f498f57af3e879bd"],"state_sha256":"6f4218a59510aafb047d139a3dcb926cd40edadc5e5190fd505a8350f9d31f05"}