{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HIU2TC6I4YGN5PAYFSLLGYLUQ3","short_pith_number":"pith:HIU2TC6I","schema_version":"1.0","canonical_sha256":"3a29a98bc8e60cdebc182c96b3617486d190650953c979f0b90165fde7302a57","source":{"kind":"arxiv","id":"1902.03598","version":1},"attestation_state":"computed","paper":{"title":"Dynamics and control for multi-agent networked systems: a finite difference approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dongnam Ko, Enrique Zuazua, Umberto Biccari","submitted_at":"2019-02-10T13:31:07Z","abstract_excerpt":"We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations commonly derived as the mean-field limit, are subordinated to the first one. In other words, the solution of the non-local transport model can be obtained by a suitable averaging of the diffusive one.\n  We then address the control problem in the linear setting, linking the multi-agent model with the spatial semi-discretization of parabolic equations. This allows "},"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":"1902.03598","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-10T13:31:07Z","cross_cats_sorted":[],"title_canon_sha256":"176a23f5491b7830cb30b2b2650a56f1a01a6f1da1328b319ccdc79aa3f82b6e","abstract_canon_sha256":"59a6b3be9c0d6621e8955844ec1988374065c41ba382632606a71448105fdd30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:54:20.243920Z","signature_b64":"bnawE9kfjJm7hkhtXjsZTGECftWKWfGsXfqObzM+zTgUC0l5Ha9+Tfc7BFC4/vtMtbLeyBetNHoFHI72yvucDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a29a98bc8e60cdebc182c96b3617486d190650953c979f0b90165fde7302a57","last_reissued_at":"2026-05-17T23:54:20.242974Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:54:20.242974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dynamics and control for multi-agent networked systems: a finite difference approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Dongnam Ko, Enrique Zuazua, Umberto Biccari","submitted_at":"2019-02-10T13:31:07Z","abstract_excerpt":"We analyze the dynamics of multi-agent collective behavior models and their control theoretical properties. We first derive a large population limit to parabolic diffusive equations. We also show that the non-local transport equations commonly derived as the mean-field limit, are subordinated to the first one. In other words, the solution of the non-local transport model can be obtained by a suitable averaging of the diffusive one.\n  We then address the control problem in the linear setting, linking the multi-agent model with the spatial semi-discretization of parabolic equations. This allows "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03598","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":"1902.03598","created_at":"2026-05-17T23:54:20.243125+00:00"},{"alias_kind":"arxiv_version","alias_value":"1902.03598v1","created_at":"2026-05-17T23:54:20.243125+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03598","created_at":"2026-05-17T23:54:20.243125+00:00"},{"alias_kind":"pith_short_12","alias_value":"HIU2TC6I4YGN","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_16","alias_value":"HIU2TC6I4YGN5PAY","created_at":"2026-05-18T12:33:18.533446+00:00"},{"alias_kind":"pith_short_8","alias_value":"HIU2TC6I","created_at":"2026-05-18T12:33:18.533446+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/HIU2TC6I4YGN5PAYFSLLGYLUQ3","json":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3.json","graph_json":"https://pith.science/api/pith-number/HIU2TC6I4YGN5PAYFSLLGYLUQ3/graph.json","events_json":"https://pith.science/api/pith-number/HIU2TC6I4YGN5PAYFSLLGYLUQ3/events.json","paper":"https://pith.science/paper/HIU2TC6I"},"agent_actions":{"view_html":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3","download_json":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3.json","view_paper":"https://pith.science/paper/HIU2TC6I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1902.03598&json=true","fetch_graph":"https://pith.science/api/pith-number/HIU2TC6I4YGN5PAYFSLLGYLUQ3/graph.json","fetch_events":"https://pith.science/api/pith-number/HIU2TC6I4YGN5PAYFSLLGYLUQ3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3/action/storage_attestation","attest_author":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3/action/author_attestation","sign_citation":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3/action/citation_signature","submit_replication":"https://pith.science/pith/HIU2TC6I4YGN5PAYFSLLGYLUQ3/action/replication_record"}},"created_at":"2026-05-17T23:54:20.243125+00:00","updated_at":"2026-05-17T23:54:20.243125+00:00"}