{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:HIU2TC6I4YGN5PAYFSLLGYLUQ3","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"59a6b3be9c0d6621e8955844ec1988374065c41ba382632606a71448105fdd30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-10T13:31:07Z","title_canon_sha256":"176a23f5491b7830cb30b2b2650a56f1a01a6f1da1328b319ccdc79aa3f82b6e"},"schema_version":"1.0","source":{"id":"1902.03598","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.03598","created_at":"2026-05-17T23:54:20Z"},{"alias_kind":"arxiv_version","alias_value":"1902.03598v1","created_at":"2026-05-17T23:54:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.03598","created_at":"2026-05-17T23:54:20Z"},{"alias_kind":"pith_short_12","alias_value":"HIU2TC6I4YGN","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_16","alias_value":"HIU2TC6I4YGN5PAY","created_at":"2026-05-18T12:33:18Z"},{"alias_kind":"pith_short_8","alias_value":"HIU2TC6I","created_at":"2026-05-18T12:33:18Z"}],"graph_snapshots":[{"event_id":"sha256:d79182827339d8da2e33e66aa8818194721a08bc14c4b9a852d0c3da28182742","target":"graph","created_at":"2026-05-17T23:54:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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 ","authors_text":"Dongnam Ko, Enrique Zuazua, Umberto Biccari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-10T13:31:07Z","title":"Dynamics and control for multi-agent networked systems: a finite difference approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.03598","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:092ea2a35245fa5e96f641fb0d61c0324b6db6ba5eb7a971a3496d8c1e284a3e","target":"record","created_at":"2026-05-17T23:54:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"59a6b3be9c0d6621e8955844ec1988374065c41ba382632606a71448105fdd30","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2019-02-10T13:31:07Z","title_canon_sha256":"176a23f5491b7830cb30b2b2650a56f1a01a6f1da1328b319ccdc79aa3f82b6e"},"schema_version":"1.0","source":{"id":"1902.03598","kind":"arxiv","version":1}},"canonical_sha256":"3a29a98bc8e60cdebc182c96b3617486d190650953c979f0b90165fde7302a57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a29a98bc8e60cdebc182c96b3617486d190650953c979f0b90165fde7302a57","first_computed_at":"2026-05-17T23:54:20.242974Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:20.242974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bnawE9kfjJm7hkhtXjsZTGECftWKWfGsXfqObzM+zTgUC0l5Ha9+Tfc7BFC4/vtMtbLeyBetNHoFHI72yvucDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:20.243920Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.03598","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:092ea2a35245fa5e96f641fb0d61c0324b6db6ba5eb7a971a3496d8c1e284a3e","sha256:d79182827339d8da2e33e66aa8818194721a08bc14c4b9a852d0c3da28182742"],"state_sha256":"01d09938ab73d487f9739774c67954145e0c2f640b51a07185e6552abeaa0888"}