{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:2YI24PGNFFY5XKKAQVU36DLXP6","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":"974a461f6df022987a99eb60644e76313fb80c693fa3d64a800aef3417f30d1c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.NC","submitted_at":"2025-03-18T20:03:10Z","title_canon_sha256":"feecada08cb5f1f2e34d01f107b845f6fdf77bbdbaa9e76bd9e6a4e20f310c6c"},"schema_version":"1.0","source":{"id":"2503.14700","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.14700","created_at":"2026-07-05T10:34:22Z"},{"alias_kind":"arxiv_version","alias_value":"2503.14700v1","created_at":"2026-07-05T10:34:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.14700","created_at":"2026-07-05T10:34:22Z"},{"alias_kind":"pith_short_12","alias_value":"2YI24PGNFFY5","created_at":"2026-07-05T10:34:22Z"},{"alias_kind":"pith_short_16","alias_value":"2YI24PGNFFY5XKKA","created_at":"2026-07-05T10:34:22Z"},{"alias_kind":"pith_short_8","alias_value":"2YI24PGN","created_at":"2026-07-05T10:34:22Z"}],"graph_snapshots":[{"event_id":"sha256:62c5b99c740c6cd90b096e55da18157b1351186afc57267ed0b77908e15a7534","target":"graph","created_at":"2026-07-05T10:34:22Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2503.14700/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In brain network analysis using resting-state fMRI, there is growing interest in modeling higher-order interactions beyond simple pairwise connectivity via persistent homology. Despite the promise of these advanced topological tools, robust and consistently observed higher-order interactions over time remain elusive. In this study, we investigate why conventional analyses often fail to reveal complex higher-order structures - such as interactions involving four or more nodes - and explore whether such interactions truly exist in functional brain networks. We utilize a simplicial complex framew","authors_text":"Anass B. El-Yaagoubi, Anqi Qiu, Hernando Ombao, Moo K. Chung","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.NC","submitted_at":"2025-03-18T20:03:10Z","title":"From Density to Void: Why Brain Networks Fail to Reveal Complex Higher-Order Structures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.14700","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":"sha256:5c0b01ee6f8b65d2c4a612381c5636a4cfd0659eb4931d5d123805d2f2f00ff7","target":"record","created_at":"2026-07-05T10:34:22Z","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":"974a461f6df022987a99eb60644e76313fb80c693fa3d64a800aef3417f30d1c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"q-bio.NC","submitted_at":"2025-03-18T20:03:10Z","title_canon_sha256":"feecada08cb5f1f2e34d01f107b845f6fdf77bbdbaa9e76bd9e6a4e20f310c6c"},"schema_version":"1.0","source":{"id":"2503.14700","kind":"arxiv","version":1}},"canonical_sha256":"d611ae3ccd2971dba9408569bf0d777fbb9f1da3caaee61231389e616221110a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d611ae3ccd2971dba9408569bf0d777fbb9f1da3caaee61231389e616221110a","first_computed_at":"2026-07-05T10:34:22.620496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:34:22.620496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3s27z11wzfDoCl4u0KoSvZk938OAegl3aCtAzn9n8MDjlATDFln8rBPu9x02v7YX9pwz90Qplp6DmND+F7NdCg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:34:22.620954Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.14700","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c0b01ee6f8b65d2c4a612381c5636a4cfd0659eb4931d5d123805d2f2f00ff7","sha256:62c5b99c740c6cd90b096e55da18157b1351186afc57267ed0b77908e15a7534"],"state_sha256":"cd1fb6141b8e1366194700424aacb3407f957cd33effd4743ecc15378bcd9395"}