{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:IS5G7LUW3XWEP7RPGSMSNA64NN","short_pith_number":"pith:IS5G7LUW","schema_version":"1.0","canonical_sha256":"44ba6fae96ddec47fe2f34992683dc6b7897413c4eb0c11432c7fca3155cb17b","source":{"kind":"arxiv","id":"1404.4886","version":1},"attestation_state":"computed","paper":{"title":"Macroscopic models of collective motion with repulsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Giacomo Dimarco, Nan Wang, Pierre Degond, Thi Bich Ngoc Mac (IMT)","submitted_at":"2014-04-18T20:55:31Z","abstract_excerpt":"We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is continuously aligned to that of the neighbors, up to some noise. A continuum model is derived starting from a mean-field kinetic description of the particle system. It leads to a set of non conservative hydrodynamic equations. We provide a numerical validation of the continuum model by comparison with the particle model. We also provide comparisons with other self-"},"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":"1404.4886","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-04-18T20:55:31Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"326aa86b8532db5435fd08372545519453a2227466af142162355a981fdfe6be","abstract_canon_sha256":"89489f46af7c85fe675f71b69b15a1e2cc3d4bf9a81c5cc79001a802a6d35887"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:52.736877Z","signature_b64":"If3nwm0NpxK6fODZhZsDv744T/drZt2J3UWEa4U1Ww16MiS0/yWZvqDB07bcCdkZ44ItvA2NS+JPHiI/Pd86Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"44ba6fae96ddec47fe2f34992683dc6b7897413c4eb0c11432c7fca3155cb17b","last_reissued_at":"2026-05-18T02:53:52.736243Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:52.736243Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Macroscopic models of collective motion with repulsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Giacomo Dimarco, Nan Wang, Pierre Degond, Thi Bich Ngoc Mac (IMT)","submitted_at":"2014-04-18T20:55:31Z","abstract_excerpt":"We study a system of self-propelled particles which interact with their neighbors via alignment and repulsion. The particle velocities result from self-propulsion and repulsion by close neighbors. The direction of self-propulsion is continuously aligned to that of the neighbors, up to some noise. A continuum model is derived starting from a mean-field kinetic description of the particle system. It leads to a set of non conservative hydrodynamic equations. We provide a numerical validation of the continuum model by comparison with the particle model. We also provide comparisons with other self-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4886","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":"1404.4886","created_at":"2026-05-18T02:53:52.736351+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4886v1","created_at":"2026-05-18T02:53:52.736351+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4886","created_at":"2026-05-18T02:53:52.736351+00:00"},{"alias_kind":"pith_short_12","alias_value":"IS5G7LUW3XWE","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_16","alias_value":"IS5G7LUW3XWEP7RP","created_at":"2026-05-18T12:28:33.132498+00:00"},{"alias_kind":"pith_short_8","alias_value":"IS5G7LUW","created_at":"2026-05-18T12:28:33.132498+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/IS5G7LUW3XWEP7RPGSMSNA64NN","json":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN.json","graph_json":"https://pith.science/api/pith-number/IS5G7LUW3XWEP7RPGSMSNA64NN/graph.json","events_json":"https://pith.science/api/pith-number/IS5G7LUW3XWEP7RPGSMSNA64NN/events.json","paper":"https://pith.science/paper/IS5G7LUW"},"agent_actions":{"view_html":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN","download_json":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN.json","view_paper":"https://pith.science/paper/IS5G7LUW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4886&json=true","fetch_graph":"https://pith.science/api/pith-number/IS5G7LUW3XWEP7RPGSMSNA64NN/graph.json","fetch_events":"https://pith.science/api/pith-number/IS5G7LUW3XWEP7RPGSMSNA64NN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN/action/storage_attestation","attest_author":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN/action/author_attestation","sign_citation":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN/action/citation_signature","submit_replication":"https://pith.science/pith/IS5G7LUW3XWEP7RPGSMSNA64NN/action/replication_record"}},"created_at":"2026-05-18T02:53:52.736351+00:00","updated_at":"2026-05-18T02:53:52.736351+00:00"}