{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5DJHP7YOEOBNKHY2RO3XGZ3UPH","short_pith_number":"pith:5DJHP7YO","schema_version":"1.0","canonical_sha256":"e8d277ff0e2382d51f1a8bb773677479ff6d26bfaf56c989ae2c39303507bd28","source":{"kind":"arxiv","id":"1404.4807","version":2},"attestation_state":"computed","paper":{"title":"Tailoring the interactions between self-propelled bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Denis Bartolo, Jean-Baptiste Caussin","submitted_at":"2014-04-18T15:02:42Z","abstract_excerpt":"We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation makes it possible to rationalize most of the models introduced so far within a common framework. We distinguish between three classes of physical interactions: (i) potential forces, (ii) inelastic collisions and (iii) non-reciprocal interactions involving polar or nematic alignment with an induced field. This framework provides simple design rules for the model"},"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":"1404.4807","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.soft","submitted_at":"2014-04-18T15:02:42Z","cross_cats_sorted":[],"title_canon_sha256":"3c6df2ed6f91156cd1c755665b71e93e62661e5dfd595876c7066d3e64660048","abstract_canon_sha256":"8e80400dc5ceb0479c2292fb18a972e6fb9c1e05195ec5b2dd8c5ec5835c76a0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:28.420466Z","signature_b64":"Jf8GAt/wVu6CjeftSlf4qE4Z7lxigJLcGmgIq8PAqNvUpjRh3Su1Kz0kzIQcDe1SkKncMARMhmwdqGQ/nFR9DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e8d277ff0e2382d51f1a8bb773677479ff6d26bfaf56c989ae2c39303507bd28","last_reissued_at":"2026-05-18T02:53:28.419652Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:28.419652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Tailoring the interactions between self-propelled bodies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Denis Bartolo, Jean-Baptiste Caussin","submitted_at":"2014-04-18T15:02:42Z","abstract_excerpt":"We classify the interactions between self-propelled particles moving at a constant speed from symmetry considerations. We establish a systematic expansion for the two-body forces in the spirit of a multipolar expansion. This formulation makes it possible to rationalize most of the models introduced so far within a common framework. We distinguish between three classes of physical interactions: (i) potential forces, (ii) inelastic collisions and (iii) non-reciprocal interactions involving polar or nematic alignment with an induced field. This framework provides simple design rules for the model"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4807","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":"1404.4807","created_at":"2026-05-18T02:53:28.419785+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4807v2","created_at":"2026-05-18T02:53:28.419785+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4807","created_at":"2026-05-18T02:53:28.419785+00:00"},{"alias_kind":"pith_short_12","alias_value":"5DJHP7YOEOBN","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5DJHP7YOEOBNKHY2","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5DJHP7YO","created_at":"2026-05-18T12:28:14.216126+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/5DJHP7YOEOBNKHY2RO3XGZ3UPH","json":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH.json","graph_json":"https://pith.science/api/pith-number/5DJHP7YOEOBNKHY2RO3XGZ3UPH/graph.json","events_json":"https://pith.science/api/pith-number/5DJHP7YOEOBNKHY2RO3XGZ3UPH/events.json","paper":"https://pith.science/paper/5DJHP7YO"},"agent_actions":{"view_html":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH","download_json":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH.json","view_paper":"https://pith.science/paper/5DJHP7YO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4807&json=true","fetch_graph":"https://pith.science/api/pith-number/5DJHP7YOEOBNKHY2RO3XGZ3UPH/graph.json","fetch_events":"https://pith.science/api/pith-number/5DJHP7YOEOBNKHY2RO3XGZ3UPH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH/action/storage_attestation","attest_author":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH/action/author_attestation","sign_citation":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH/action/citation_signature","submit_replication":"https://pith.science/pith/5DJHP7YOEOBNKHY2RO3XGZ3UPH/action/replication_record"}},"created_at":"2026-05-18T02:53:28.419785+00:00","updated_at":"2026-05-18T02:53:28.419785+00:00"}