{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IGJK7L7BXNFISNPGRNBLFX2RBJ","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":"b2768f1df396ea42de744f57959e247c622038f018345b19f235763c3766651a","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-07T14:49:48Z","title_canon_sha256":"e10042040a14a00b718adec8bb573e3bb7cf66bfe3ea1da3f3be4f0d6eebec47"},"schema_version":"1.0","source":{"id":"1604.02021","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02021","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02021v2","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02021","created_at":"2026-05-18T00:47:21Z"},{"alias_kind":"pith_short_12","alias_value":"IGJK7L7BXNFI","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IGJK7L7BXNFISNPG","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IGJK7L7B","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f9922dae9826b88ee20cfa166ba700e183dae584cbecf2aa7cd29631ce90555f","target":"graph","created_at":"2026-05-18T00:47:21Z","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":"The study of networks plays a crucial role in investigating the structure, dynamics, and function of a wide variety of complex systems in myriad disciplines. Despite the success of traditional network analysis, standard networks provide a limited representation of complex systems, which often include different types of relationships (i.e., \"multiplexity\") among their constituent components and/or multiple interacting subsystems. Such structural complexity has a significant effect on both dynamics and function. Throwing away or aggregating available structural information can generate misleadin","authors_text":"Alex Arenas, Clara Granell, Manlio De Domenico, Mason A. Porter","cross_cats":["cond-mat.dis-nn","cs.SI","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-07T14:49:48Z","title":"The physics of spreading processes in multilayer networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02021","kind":"arxiv","version":2},"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":"sha256:5d54eb19da2ae49188210c9b98030d9ce5c42c089419d82b056c7e20dba890dc","target":"record","created_at":"2026-05-18T00:47:21Z","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":"b2768f1df396ea42de744f57959e247c622038f018345b19f235763c3766651a","cross_cats_sorted":["cond-mat.dis-nn","cs.SI","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.soc-ph","submitted_at":"2016-04-07T14:49:48Z","title_canon_sha256":"e10042040a14a00b718adec8bb573e3bb7cf66bfe3ea1da3f3be4f0d6eebec47"},"schema_version":"1.0","source":{"id":"1604.02021","kind":"arxiv","version":2}},"canonical_sha256":"4192afafe1bb4a8935e68b42b2df510a735d2e0b8cce2cc016b7855767a29a10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4192afafe1bb4a8935e68b42b2df510a735d2e0b8cce2cc016b7855767a29a10","first_computed_at":"2026-05-18T00:47:21.075980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:47:21.075980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IQbtbnYf64M58o4OvetWuEiTY08RXSSyHk6VQLZavNfUF5MGsUm/9V49Uu+PwYXkZqu7yTF9Zcr+tYdBkXA+CA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:47:21.076705Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02021","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5d54eb19da2ae49188210c9b98030d9ce5c42c089419d82b056c7e20dba890dc","sha256:f9922dae9826b88ee20cfa166ba700e183dae584cbecf2aa7cd29631ce90555f"],"state_sha256":"76e25e700d27ce96b39646e419abdc51fc6b69b097d8401d672bda5a4339975d"}