{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:2R6JKNLOK7JLEXFZYSACM7NNCF","short_pith_number":"pith:2R6JKNLO","schema_version":"1.0","canonical_sha256":"d47c95356e57d2b25cb9c480267dad115c73cc89c21b60d5d600362f6881eced","source":{"kind":"arxiv","id":"1706.04792","version":2},"attestation_state":"computed","paper":{"title":"Mapping higher-order network flows in memory and multilayer networks with Infomap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","stat.ML"],"primary_cat":"cs.SI","authors_text":"Daniel Edler, Ludvig Bohlin, Martin Rosvall","submitted_at":"2017-06-15T09:36:25Z","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"},"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":"1706.04792","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2017-06-15T09:36:25Z","cross_cats_sorted":["physics.soc-ph","stat.ML"],"title_canon_sha256":"c6ad6cffcc24bff3158df2706f4951db90dcc84de45d85f3c7b4b19bc08e71e4","abstract_canon_sha256":"17c1b3f397a2f176e72412a368fe628d74622fb44a94eee4835df8e3acc395a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:42.723574Z","signature_b64":"YlOOLpfBAgu0DEgmINnUu5F2K4/KCqlx2DmVKJV0hgr1Kql95Du5PE4eB3+xeppauN9QFmmZUN3LSj4GDTBOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d47c95356e57d2b25cb9c480267dad115c73cc89c21b60d5d600362f6881eced","last_reissued_at":"2026-05-18T00:32:42.722901Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:42.722901Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Mapping higher-order network flows in memory and multilayer networks with Infomap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.soc-ph","stat.ML"],"primary_cat":"cs.SI","authors_text":"Daniel Edler, Ludvig Bohlin, Martin Rosvall","submitted_at":"2017-06-15T09:36:25Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.04792","kind":"arxiv","version":2},"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":"1706.04792","created_at":"2026-05-18T00:32:42.722996+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.04792v2","created_at":"2026-05-18T00:32:42.722996+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.04792","created_at":"2026-05-18T00:32:42.722996+00:00"},{"alias_kind":"pith_short_12","alias_value":"2R6JKNLOK7JL","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_16","alias_value":"2R6JKNLOK7JLEXFZ","created_at":"2026-05-18T12:30:55.937587+00:00"},{"alias_kind":"pith_short_8","alias_value":"2R6JKNLO","created_at":"2026-05-18T12:30:55.937587+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/2R6JKNLOK7JLEXFZYSACM7NNCF","json":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF.json","graph_json":"https://pith.science/api/pith-number/2R6JKNLOK7JLEXFZYSACM7NNCF/graph.json","events_json":"https://pith.science/api/pith-number/2R6JKNLOK7JLEXFZYSACM7NNCF/events.json","paper":"https://pith.science/paper/2R6JKNLO"},"agent_actions":{"view_html":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF","download_json":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF.json","view_paper":"https://pith.science/paper/2R6JKNLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.04792&json=true","fetch_graph":"https://pith.science/api/pith-number/2R6JKNLOK7JLEXFZYSACM7NNCF/graph.json","fetch_events":"https://pith.science/api/pith-number/2R6JKNLOK7JLEXFZYSACM7NNCF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF/action/storage_attestation","attest_author":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF/action/author_attestation","sign_citation":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF/action/citation_signature","submit_replication":"https://pith.science/pith/2R6JKNLOK7JLEXFZYSACM7NNCF/action/replication_record"}},"created_at":"2026-05-18T00:32:42.722996+00:00","updated_at":"2026-05-18T00:32:42.722996+00:00"}