{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:WLAOEZJYC633BYXQOTYNFM5WOT","short_pith_number":"pith:WLAOEZJY","schema_version":"1.0","canonical_sha256":"b2c0e2653817b7b0e2f074f0d2b3b674c6613e99abfb9b8a3837f801dae94b32","source":{"kind":"arxiv","id":"1802.06820","version":1},"attestation_state":"computed","paper":{"title":"Tools for higher-order network analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.NA","physics.soc-ph","stat.ML"],"primary_cat":"cs.SI","authors_text":"Austin R. Benson","submitted_at":"2018-02-19T19:26:48Z","abstract_excerpt":"Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order connectivity patterns captured by small subgraphs, also called network motifs, describe the fundamental structures that control and mediate the behavior of many complex systems. We develop three tools for network analysis that use higher-order connectivity patterns to gain new insights into network datasets: (1) a framework to cluster nodes into modules based"},"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":"1802.06820","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.SI","submitted_at":"2018-02-19T19:26:48Z","cross_cats_sorted":["cond-mat.stat-mech","cs.NA","physics.soc-ph","stat.ML"],"title_canon_sha256":"b6bdabe050eea40d6233103b523ced003ffbb53d74784c63856444980cb15e47","abstract_canon_sha256":"b72c565bd71d063167ac8fe59915207ec5fcf7429421cae7d3fecc814e2bfca8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:54.279353Z","signature_b64":"r8A5jspMWKlLF6mg6lO/+O/oV7I3gWkVpy+8JWpWu37BJ3L0kBd1vYRNlpzkTVaPkdmr3sK9bPqW8ZFlz7baBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b2c0e2653817b7b0e2f074f0d2b3b674c6613e99abfb9b8a3837f801dae94b32","last_reissued_at":"2026-05-18T00:22:54.278984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:54.278984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tools for higher-order network analysis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","cs.NA","physics.soc-ph","stat.ML"],"primary_cat":"cs.SI","authors_text":"Austin R. Benson","submitted_at":"2018-02-19T19:26:48Z","abstract_excerpt":"Networks are a fundamental model of complex systems throughout the sciences, and network datasets are typically analyzed through lower-order connectivity patterns described at the level of individual nodes and edges. However, higher-order connectivity patterns captured by small subgraphs, also called network motifs, describe the fundamental structures that control and mediate the behavior of many complex systems. We develop three tools for network analysis that use higher-order connectivity patterns to gain new insights into network datasets: (1) a framework to cluster nodes into modules based"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.06820","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":"1802.06820","created_at":"2026-05-18T00:22:54.279043+00:00"},{"alias_kind":"arxiv_version","alias_value":"1802.06820v1","created_at":"2026-05-18T00:22:54.279043+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.06820","created_at":"2026-05-18T00:22:54.279043+00:00"},{"alias_kind":"pith_short_12","alias_value":"WLAOEZJYC633","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"WLAOEZJYC633BYXQ","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"WLAOEZJY","created_at":"2026-05-18T12:33:01.666342+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/WLAOEZJYC633BYXQOTYNFM5WOT","json":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT.json","graph_json":"https://pith.science/api/pith-number/WLAOEZJYC633BYXQOTYNFM5WOT/graph.json","events_json":"https://pith.science/api/pith-number/WLAOEZJYC633BYXQOTYNFM5WOT/events.json","paper":"https://pith.science/paper/WLAOEZJY"},"agent_actions":{"view_html":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT","download_json":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT.json","view_paper":"https://pith.science/paper/WLAOEZJY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1802.06820&json=true","fetch_graph":"https://pith.science/api/pith-number/WLAOEZJYC633BYXQOTYNFM5WOT/graph.json","fetch_events":"https://pith.science/api/pith-number/WLAOEZJYC633BYXQOTYNFM5WOT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT/action/storage_attestation","attest_author":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT/action/author_attestation","sign_citation":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT/action/citation_signature","submit_replication":"https://pith.science/pith/WLAOEZJYC633BYXQOTYNFM5WOT/action/replication_record"}},"created_at":"2026-05-18T00:22:54.279043+00:00","updated_at":"2026-05-18T00:22:54.279043+00:00"}