{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:AH4CTK3UMWVY6EOXPILSMUKDIE","short_pith_number":"pith:AH4CTK3U","schema_version":"1.0","canonical_sha256":"01f829ab7465ab8f11d77a17265143412e62735686e0f84b8fb11f2cd77b2a2a","source":{"kind":"arxiv","id":"1005.0351","version":2},"attestation_state":"computed","paper":{"title":"Stability Margin Scaling Laws for Distributed Formation Control as a Function of Network Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"nlin.AO","authors_text":"He Hao, Prabir Barooah, Prashant G. Mehta","submitted_at":"2010-05-03T17:18:14Z","abstract_excerpt":"We consider the problem of distributed formation control of a large number of vehicles. An individual vehicle in the formation is assumed to be a fully actuated point mass. A distributed control law is examined: the control action on an individual vehicle depends on (i) its own velocity and (ii) the relative position measurements with a small subset of vehicles (neighbors) in the formation. The neighbors are defined according to an information graph.\n  In this paper we describe a methodology for modeling, analysis, and distributed control design of such vehicular formations whose information g"},"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":"1005.0351","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2010-05-03T17:18:14Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"483cc80c1cf9cd0d5ee6d77e27fc13fbcf4486b3858b0b75297b5f4a9b1a2cbf","abstract_canon_sha256":"dcc6fe27c88f9e3d2c65343e367740cb4ec526b536105e657c1215d06f4e5b9e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:58:19.579148Z","signature_b64":"sJ7+5eklqZbtCTQnQYwTAFhoo5J+x03HoXa/pQYBoBMzOOz8QNsM53+K1s7FDrQOzWLX00V5LDCyEySac7KhAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01f829ab7465ab8f11d77a17265143412e62735686e0f84b8fb11f2cd77b2a2a","last_reissued_at":"2026-05-18T00:58:19.578307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:58:19.578307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stability Margin Scaling Laws for Distributed Formation Control as a Function of Network Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"nlin.AO","authors_text":"He Hao, Prabir Barooah, Prashant G. Mehta","submitted_at":"2010-05-03T17:18:14Z","abstract_excerpt":"We consider the problem of distributed formation control of a large number of vehicles. An individual vehicle in the formation is assumed to be a fully actuated point mass. A distributed control law is examined: the control action on an individual vehicle depends on (i) its own velocity and (ii) the relative position measurements with a small subset of vehicles (neighbors) in the formation. The neighbors are defined according to an information graph.\n  In this paper we describe a methodology for modeling, analysis, and distributed control design of such vehicular formations whose information g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.0351","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":"1005.0351","created_at":"2026-05-18T00:58:19.578474+00:00"},{"alias_kind":"arxiv_version","alias_value":"1005.0351v2","created_at":"2026-05-18T00:58:19.578474+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.0351","created_at":"2026-05-18T00:58:19.578474+00:00"},{"alias_kind":"pith_short_12","alias_value":"AH4CTK3UMWVY","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"AH4CTK3UMWVY6EOX","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"AH4CTK3U","created_at":"2026-05-18T12:26:05.355336+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/AH4CTK3UMWVY6EOXPILSMUKDIE","json":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE.json","graph_json":"https://pith.science/api/pith-number/AH4CTK3UMWVY6EOXPILSMUKDIE/graph.json","events_json":"https://pith.science/api/pith-number/AH4CTK3UMWVY6EOXPILSMUKDIE/events.json","paper":"https://pith.science/paper/AH4CTK3U"},"agent_actions":{"view_html":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE","download_json":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE.json","view_paper":"https://pith.science/paper/AH4CTK3U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1005.0351&json=true","fetch_graph":"https://pith.science/api/pith-number/AH4CTK3UMWVY6EOXPILSMUKDIE/graph.json","fetch_events":"https://pith.science/api/pith-number/AH4CTK3UMWVY6EOXPILSMUKDIE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE/action/storage_attestation","attest_author":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE/action/author_attestation","sign_citation":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE/action/citation_signature","submit_replication":"https://pith.science/pith/AH4CTK3UMWVY6EOXPILSMUKDIE/action/replication_record"}},"created_at":"2026-05-18T00:58:19.578474+00:00","updated_at":"2026-05-18T00:58:19.578474+00:00"}