{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:ZM26WCIZWKIC4WNJ7GSAIPGXDP","short_pith_number":"pith:ZM26WCIZ","schema_version":"1.0","canonical_sha256":"cb35eb0919b2902e59a9f9a4043cd71bcb40417228f51e643ffb53b426406047","source":{"kind":"arxiv","id":"2503.10543","version":2},"attestation_state":"computed","paper":{"title":"A large multi-agent system with noise both in position and control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anderson Melchor Hernandez, Giuseppe D'Onofrio","submitted_at":"2025-03-13T16:57:05Z","abstract_excerpt":"In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent is associated with a probability measure, that assigns the label accounting for the population to which the agent belongs. We do not assume any prior knowledge of the label of a single agent, and we allow that it can change as a consequence of the interaction among the agents. Furthermore, the system is affected by noise both in the agent's position and label"},"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":"2503.10543","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2025-03-13T16:57:05Z","cross_cats_sorted":[],"title_canon_sha256":"4c4b8bd170bcc3c31e7d1b812c699c53df67fcbb2eb324929c42ac23cdf65e71","abstract_canon_sha256":"d55863beff234aaf4b899493ed906b25638f366271ccf7b6c33ca13ef97573e1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:41:40.132215Z","signature_b64":"qwI3TJYPKvDICAYpOCkPcDDVLGVfv5IGFJPPbkoJJ/KrBz5g0jfZfSF3j7hLPrCDXdZcIrQbAj9nyq58s1YSBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb35eb0919b2902e59a9f9a4043cd71bcb40417228f51e643ffb53b426406047","last_reissued_at":"2026-07-05T11:41:40.131702Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:41:40.131702Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A large multi-agent system with noise both in position and control","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Anderson Melchor Hernandez, Giuseppe D'Onofrio","submitted_at":"2025-03-13T16:57:05Z","abstract_excerpt":"In this work, we consider a multi-population system where the dynamics of each agent evolve according to a system of stochastic differential equations in a general functional setup, determined by the global state of the system. Each agent is associated with a probability measure, that assigns the label accounting for the population to which the agent belongs. We do not assume any prior knowledge of the label of a single agent, and we allow that it can change as a consequence of the interaction among the agents. Furthermore, the system is affected by noise both in the agent's position and label"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.10543","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/2503.10543/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":"2503.10543","created_at":"2026-07-05T11:41:40.131763+00:00"},{"alias_kind":"arxiv_version","alias_value":"2503.10543v2","created_at":"2026-07-05T11:41:40.131763+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.10543","created_at":"2026-07-05T11:41:40.131763+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZM26WCIZWKIC","created_at":"2026-07-05T11:41:40.131763+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZM26WCIZWKIC4WNJ","created_at":"2026-07-05T11:41:40.131763+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZM26WCIZ","created_at":"2026-07-05T11:41:40.131763+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.20029","citing_title":"A general perspective on CBO methods with stochastic rate of information","ref_index":19,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP","json":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP.json","graph_json":"https://pith.science/api/pith-number/ZM26WCIZWKIC4WNJ7GSAIPGXDP/graph.json","events_json":"https://pith.science/api/pith-number/ZM26WCIZWKIC4WNJ7GSAIPGXDP/events.json","paper":"https://pith.science/paper/ZM26WCIZ"},"agent_actions":{"view_html":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP","download_json":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP.json","view_paper":"https://pith.science/paper/ZM26WCIZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2503.10543&json=true","fetch_graph":"https://pith.science/api/pith-number/ZM26WCIZWKIC4WNJ7GSAIPGXDP/graph.json","fetch_events":"https://pith.science/api/pith-number/ZM26WCIZWKIC4WNJ7GSAIPGXDP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP/action/storage_attestation","attest_author":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP/action/author_attestation","sign_citation":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP/action/citation_signature","submit_replication":"https://pith.science/pith/ZM26WCIZWKIC4WNJ7GSAIPGXDP/action/replication_record"}},"created_at":"2026-07-05T11:41:40.131763+00:00","updated_at":"2026-07-05T11:41:40.131763+00:00"}