{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:34WU5WGZ4JNIL3OPOKFDUQV6QH","short_pith_number":"pith:34WU5WGZ","schema_version":"1.0","canonical_sha256":"df2d4ed8d9e25a85edcf728a3a42be81d72db8d8e04eac4b4d0b5172f9910f3f","source":{"kind":"arxiv","id":"2502.09098","version":2},"attestation_state":"computed","paper":{"title":"Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"CaGE), Emmanuel Tr\\'elat (LJLL (UMR\\_7598), Stefano Rossi, Thierry Paul (LYSM)","submitted_at":"2025-02-13T09:14:29Z","abstract_excerpt":"We consider interacting multi-agent systems where the interaction is not only pairwise but involves simultaneous interactions among multiple agents (multiple-wise interaction). By passing through the mesoscopic and macroscopic limits with a fixed multiple-wise interaction of order $m$, we derive a macroscopic equation in the limit $m \\rightarrow \\infty$, capturing the dominant effects in large-size multiple-wise order."},"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":"2502.09098","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2025-02-13T09:14:29Z","cross_cats_sorted":[],"title_canon_sha256":"1782c1c0f274ad7ab2aa330783bfbc0ccf235da9340a0f0917a9bd3590db5118","abstract_canon_sha256":"5f89622d23b4a3a8be959960d5b6e620d8820dec889a73046c4e555af3c662d0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:36:36.096782Z","signature_b64":"rbsnH8PoJ4yEWFC2IzhRnHD8WO9EAacnXeEjsSZ2/Y8SIdIZMbR1ZNH4PM0qj5R3xcLQ6jqnzsN3nAL6OYXYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df2d4ed8d9e25a85edcf728a3a42be81d72db8d8e04eac4b4d0b5172f9910f3f","last_reissued_at":"2026-07-05T10:36:36.096098Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:36:36.096098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Multi-agent systems with multiple-wise interaction: Propagation of chaos and macroscopic limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"CaGE), Emmanuel Tr\\'elat (LJLL (UMR\\_7598), Stefano Rossi, Thierry Paul (LYSM)","submitted_at":"2025-02-13T09:14:29Z","abstract_excerpt":"We consider interacting multi-agent systems where the interaction is not only pairwise but involves simultaneous interactions among multiple agents (multiple-wise interaction). By passing through the mesoscopic and macroscopic limits with a fixed multiple-wise interaction of order $m$, we derive a macroscopic equation in the limit $m \\rightarrow \\infty$, capturing the dominant effects in large-size multiple-wise order."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2502.09098","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2502.09098/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":"2502.09098","created_at":"2026-07-05T10:36:36.096184+00:00"},{"alias_kind":"arxiv_version","alias_value":"2502.09098v2","created_at":"2026-07-05T10:36:36.096184+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2502.09098","created_at":"2026-07-05T10:36:36.096184+00:00"},{"alias_kind":"pith_short_12","alias_value":"34WU5WGZ4JNI","created_at":"2026-07-05T10:36:36.096184+00:00"},{"alias_kind":"pith_short_16","alias_value":"34WU5WGZ4JNIL3OP","created_at":"2026-07-05T10:36:36.096184+00:00"},{"alias_kind":"pith_short_8","alias_value":"34WU5WGZ","created_at":"2026-07-05T10:36:36.096184+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/34WU5WGZ4JNIL3OPOKFDUQV6QH","json":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH.json","graph_json":"https://pith.science/api/pith-number/34WU5WGZ4JNIL3OPOKFDUQV6QH/graph.json","events_json":"https://pith.science/api/pith-number/34WU5WGZ4JNIL3OPOKFDUQV6QH/events.json","paper":"https://pith.science/paper/34WU5WGZ"},"agent_actions":{"view_html":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH","download_json":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH.json","view_paper":"https://pith.science/paper/34WU5WGZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2502.09098&json=true","fetch_graph":"https://pith.science/api/pith-number/34WU5WGZ4JNIL3OPOKFDUQV6QH/graph.json","fetch_events":"https://pith.science/api/pith-number/34WU5WGZ4JNIL3OPOKFDUQV6QH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH/action/storage_attestation","attest_author":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH/action/author_attestation","sign_citation":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH/action/citation_signature","submit_replication":"https://pith.science/pith/34WU5WGZ4JNIL3OPOKFDUQV6QH/action/replication_record"}},"created_at":"2026-07-05T10:36:36.096184+00:00","updated_at":"2026-07-05T10:36:36.096184+00:00"}