{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2R6JKNLOK7JLEXFZYSACM7NNCF","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":"17c1b3f397a2f176e72412a368fe628d74622fb44a94eee4835df8e3acc395a4","cross_cats_sorted":["physics.soc-ph","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-06-15T09:36:25Z","title_canon_sha256":"c6ad6cffcc24bff3158df2706f4951db90dcc84de45d85f3c7b4b19bc08e71e4"},"schema_version":"1.0","source":{"id":"1706.04792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.04792","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"arxiv_version","alias_value":"1706.04792v2","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04792","created_at":"2026-05-18T00:32:42Z"},{"alias_kind":"pith_short_12","alias_value":"2R6JKNLOK7JL","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2R6JKNLOK7JLEXFZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2R6JKNLO","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:97b38be05f21c207a68d1aa738ada2990c62d28776af58850a7663869b3ddcfb","target":"graph","created_at":"2026-05-18T00:32:42Z","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":"Comprehending complex systems by simplifying and highlighting important dynamical patterns requires modeling and mapping higher-order network flows. However, complex systems come in many forms and demand a range of representations, including memory and multilayer networks, which in turn call for versatile community-detection algorithms to reveal important modular regularities in the flows. Here we show that various forms of higher-order network flows can be represented in a unified way with networks that distinguish physical nodes for representing a~complex system's objects from state nodes fo","authors_text":"Daniel Edler, Ludvig Bohlin, Martin Rosvall","cross_cats":["physics.soc-ph","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-06-15T09:36:25Z","title":"Mapping higher-order network flows in memory and multilayer networks with Infomap"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04792","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:b2c26d2146c0766ce237217bd824a9a9dc79e669228ce2f25237162ef89b83b2","target":"record","created_at":"2026-05-18T00:32:42Z","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":"17c1b3f397a2f176e72412a368fe628d74622fb44a94eee4835df8e3acc395a4","cross_cats_sorted":["physics.soc-ph","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-06-15T09:36:25Z","title_canon_sha256":"c6ad6cffcc24bff3158df2706f4951db90dcc84de45d85f3c7b4b19bc08e71e4"},"schema_version":"1.0","source":{"id":"1706.04792","kind":"arxiv","version":2}},"canonical_sha256":"d47c95356e57d2b25cb9c480267dad115c73cc89c21b60d5d600362f6881eced","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d47c95356e57d2b25cb9c480267dad115c73cc89c21b60d5d600362f6881eced","first_computed_at":"2026-05-18T00:32:42.722901Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:42.722901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YlOOLpfBAgu0DEgmINnUu5F2K4/KCqlx2DmVKJV0hgr1Kql95Du5PE4eB3+xeppauN9QFmmZUN3LSj4GDTBOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:42.723574Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.04792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b2c26d2146c0766ce237217bd824a9a9dc79e669228ce2f25237162ef89b83b2","sha256:97b38be05f21c207a68d1aa738ada2990c62d28776af58850a7663869b3ddcfb"],"state_sha256":"21950f6f318dd39fb0150fecda252074018a29e11a16a4e9a8ebcf641ab42310"}