{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:WBVZ7M7DYPUHNDERC2JMDD4AZY","short_pith_number":"pith:WBVZ7M7D","schema_version":"1.0","canonical_sha256":"b06b9fb3e3c3e8768c911692c18f80ce2eedad95bd5b798e2a33c08533eaea26","source":{"kind":"arxiv","id":"2608.10844","version":1},"attestation_state":"computed","paper":{"title":"Impact of Higher-Order Interactions on Collective Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.bio-ph","authors_text":"Amir Kargaran, Maryam Masoumi, Reza Jafari","submitted_at":"2026-08-11T12:15:41Z","abstract_excerpt":"Collective motion in self-propelled particle systems has been widely studied using the Vicsek model, which relies on pairwise alignment interactions. We introduce a generalized Vicsek model that incorporates higher-order (triadic) alignment interactions. Using agent-based simulations and mean-field theory, we demonstrate that pure triadic alignment induces a discontinuous phase transition, evidenced by hysteresis, a double-well free-energy landscape, and a Binder cumulant minimum that deepens with system size, whereas the standard pairwise model exhibits a continuous transition at the same sys"},"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":"2608.10844","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.bio-ph","submitted_at":"2026-08-11T12:15:41Z","cross_cats_sorted":[],"title_canon_sha256":"beaef12181437b3889fafc4a6c5293f8fc715f5bcb0272972db9a5a0c5819037","abstract_canon_sha256":"6943a2c061a5c30eebadbfec24ef16ffa658996ff3468ad139616c280bb92267"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-12T01:23:29.725070Z","signature_b64":"TWU0NT5tu9syUQCzWSqyrqb5GJv7s58cfX26sMyAxxmI1o7Bw8FLAlNJIb9VGGZjUZh8STSO2/785O3xnXgkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b06b9fb3e3c3e8768c911692c18f80ce2eedad95bd5b798e2a33c08533eaea26","last_reissued_at":"2026-08-12T01:23:29.723158Z","signature_status":"signed_v1","first_computed_at":"2026-08-12T01:23:29.723158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Impact of Higher-Order Interactions on Collective Motion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.bio-ph","authors_text":"Amir Kargaran, Maryam Masoumi, Reza Jafari","submitted_at":"2026-08-11T12:15:41Z","abstract_excerpt":"Collective motion in self-propelled particle systems has been widely studied using the Vicsek model, which relies on pairwise alignment interactions. We introduce a generalized Vicsek model that incorporates higher-order (triadic) alignment interactions. Using agent-based simulations and mean-field theory, we demonstrate that pure triadic alignment induces a discontinuous phase transition, evidenced by hysteresis, a double-well free-energy landscape, and a Binder cumulant minimum that deepens with system size, whereas the standard pairwise model exhibits a continuous transition at the same sys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.10844","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2608.10844/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2608.10844","created_at":"2026-08-12T01:23:29.727017+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.10844v1","created_at":"2026-08-12T01:23:29.727017+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.10844","created_at":"2026-08-12T01:23:29.727017+00:00"},{"alias_kind":"pith_short_12","alias_value":"WBVZ7M7DYPUH","created_at":"2026-08-12T01:23:29.727017+00:00"},{"alias_kind":"pith_short_16","alias_value":"WBVZ7M7DYPUHNDER","created_at":"2026-08-12T01:23:29.727017+00:00"},{"alias_kind":"pith_short_8","alias_value":"WBVZ7M7D","created_at":"2026-08-12T01:23:29.727017+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/WBVZ7M7DYPUHNDERC2JMDD4AZY","json":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY.json","graph_json":"https://pith.science/api/pith-number/WBVZ7M7DYPUHNDERC2JMDD4AZY/graph.json","events_json":"https://pith.science/api/pith-number/WBVZ7M7DYPUHNDERC2JMDD4AZY/events.json","paper":"https://pith.science/paper/WBVZ7M7D"},"agent_actions":{"view_html":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY","download_json":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY.json","view_paper":"https://pith.science/paper/WBVZ7M7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.10844&json=true","fetch_graph":"https://pith.science/api/pith-number/WBVZ7M7DYPUHNDERC2JMDD4AZY/graph.json","fetch_events":"https://pith.science/api/pith-number/WBVZ7M7DYPUHNDERC2JMDD4AZY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY/action/storage_attestation","attest_author":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY/action/author_attestation","sign_citation":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY/action/citation_signature","submit_replication":"https://pith.science/pith/WBVZ7M7DYPUHNDERC2JMDD4AZY/action/replication_record"}},"created_at":"2026-08-12T01:23:29.727017+00:00","updated_at":"2026-08-12T01:23:29.727017+00:00"}