{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:CENS7AXCQWGMKNOUZC2BIZI2F5","short_pith_number":"pith:CENS7AXC","schema_version":"1.0","canonical_sha256":"111b2f82e2858cc535d4c8b414651a2f5638f1aa37cd0993f71bf4d33b1c2a2f","source":{"kind":"arxiv","id":"0705.0233","version":1},"attestation_state":"computed","paper":{"title":"Coordination for a Group of Autonomous Mobile Agents with Multiple Leaders","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jiangping Hu, Yiguang Hong","submitted_at":"2007-05-02T09:16:19Z","abstract_excerpt":"In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of fixed interconnection topology. Then a sufficient condition is proposed when the interconnection topology is switched. With a simple first-order dynamics model by using the neighborhood rule, both results show that the group behavior of the agents will converge to the polytope formed by the leaders."},"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":"0705.0233","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2007-05-02T09:16:19Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"1bbad3ee4cb761f33a19304bc648a80586c72a10d7e6ee1b9e096087e73126be","abstract_canon_sha256":"5f96c87e97a05dc673a8e80c52b1aa18c161efa91c0d304644c8ec0e5dce9dee"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:01:10.202661Z","signature_b64":"nh7r1ThLvNXX2MHmJoiCEj1nEphuH/qZzKUvJy5KUI5JqcSTpFlp0Py7zfvqQ7S/w+eCDQjXng4Itwa5oQH6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"111b2f82e2858cc535d4c8b414651a2f5638f1aa37cd0993f71bf4d33b1c2a2f","last_reissued_at":"2026-07-04T15:01:10.202312Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:01:10.202312Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coordination for a Group of Autonomous Mobile Agents with Multiple Leaders","license":"","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Jiangping Hu, Yiguang Hong","submitted_at":"2007-05-02T09:16:19Z","abstract_excerpt":"In this paper, we consider the coordination control of a group of autonomous mobile agents with multiple leaders. Different interconnection topologies are investigated. At first, a necessary and sufficient condition is proved in the case of fixed interconnection topology. Then a sufficient condition is proposed when the interconnection topology is switched. With a simple first-order dynamics model by using the neighborhood rule, both results show that the group behavior of the agents will converge to the polytope formed by the leaders."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0705.0233","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/0705.0233/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":"0705.0233","created_at":"2026-07-04T15:01:10.202381+00:00"},{"alias_kind":"arxiv_version","alias_value":"0705.0233v1","created_at":"2026-07-04T15:01:10.202381+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0705.0233","created_at":"2026-07-04T15:01:10.202381+00:00"},{"alias_kind":"pith_short_12","alias_value":"CENS7AXCQWGM","created_at":"2026-07-04T15:01:10.202381+00:00"},{"alias_kind":"pith_short_16","alias_value":"CENS7AXCQWGMKNOU","created_at":"2026-07-04T15:01:10.202381+00:00"},{"alias_kind":"pith_short_8","alias_value":"CENS7AXC","created_at":"2026-07-04T15:01:10.202381+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/CENS7AXCQWGMKNOUZC2BIZI2F5","json":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5.json","graph_json":"https://pith.science/api/pith-number/CENS7AXCQWGMKNOUZC2BIZI2F5/graph.json","events_json":"https://pith.science/api/pith-number/CENS7AXCQWGMKNOUZC2BIZI2F5/events.json","paper":"https://pith.science/paper/CENS7AXC"},"agent_actions":{"view_html":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5","download_json":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5.json","view_paper":"https://pith.science/paper/CENS7AXC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0705.0233&json=true","fetch_graph":"https://pith.science/api/pith-number/CENS7AXCQWGMKNOUZC2BIZI2F5/graph.json","fetch_events":"https://pith.science/api/pith-number/CENS7AXCQWGMKNOUZC2BIZI2F5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5/action/storage_attestation","attest_author":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5/action/author_attestation","sign_citation":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5/action/citation_signature","submit_replication":"https://pith.science/pith/CENS7AXCQWGMKNOUZC2BIZI2F5/action/replication_record"}},"created_at":"2026-07-04T15:01:10.202381+00:00","updated_at":"2026-07-04T15:01:10.202381+00:00"}