{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:L2J3I4GWDFAFNEYUXZBJ6FYLXX","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":"764d012258dc2984a1a2ce850c437694e7f85afe2a763614d46fbed044460f00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-09-18T10:36:45Z","title_canon_sha256":"7d4b9714c1e03acbae57470abcc8661dd54e99fba92f8a259e0413b00008e111"},"schema_version":"1.0","source":{"id":"1209.3904","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3904","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3904v1","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3904","created_at":"2026-05-18T03:45:22Z"},{"alias_kind":"pith_short_12","alias_value":"L2J3I4GWDFAF","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"L2J3I4GWDFAFNEYU","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"L2J3I4GW","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:82d835623bda991d78e7bd370b794a3c6c3723357b0487f0e0cdad0fc23b49d5","target":"graph","created_at":"2026-05-18T03:45:22Z","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":"In this work we consider the problem of gathering autonomous robots in the plane. In particular, we consider non-transparent unit-disc robots (i.e., fat) in an asynchronous setting. Vision is the only mean of coordination. Using a state-machine representation we formulate the gathering problem and develop a distributed algorithm that solves the problem for any number of robots.\n  The main idea behind our algorithm is for the robots to reach a configuration in which all the following hold: (a) The robots' centers form a convex hull in which all robots are on the convex, (b) Each robot can see a","authors_text":"Chrysovalandis Agathangelou, Chryssis Georgiou, Marios Mavronicolas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-09-18T10:36:45Z","title":"A Distributed Algorithm for Gathering Many Fat Mobile Robots in the Plane"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3904","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":"sha256:86a1820361d2f5a4b75b5c9568c2672c87d6c6a45bdc46a6439f10483a47bc08","target":"record","created_at":"2026-05-18T03:45:22Z","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":"764d012258dc2984a1a2ce850c437694e7f85afe2a763614d46fbed044460f00","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DC","submitted_at":"2012-09-18T10:36:45Z","title_canon_sha256":"7d4b9714c1e03acbae57470abcc8661dd54e99fba92f8a259e0413b00008e111"},"schema_version":"1.0","source":{"id":"1209.3904","kind":"arxiv","version":1}},"canonical_sha256":"5e93b470d61940569314be429f170bbdea7cadc2e016e2afd599e7e09be0a9d1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e93b470d61940569314be429f170bbdea7cadc2e016e2afd599e7e09be0a9d1","first_computed_at":"2026-05-18T03:45:22.282523Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:22.282523Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IeTfAhYsemAKdbQ6r8EasfuyMGObXAoZ2vZ5Ffvxcpo2wWVYLZQSjZ8TtzHnJ3nf66IqKdEfbnLmV9HP4ILIBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:22.283198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3904","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86a1820361d2f5a4b75b5c9568c2672c87d6c6a45bdc46a6439f10483a47bc08","sha256:82d835623bda991d78e7bd370b794a3c6c3723357b0487f0e0cdad0fc23b49d5"],"state_sha256":"a8cb17e81eef00817ba057ae0a389de3fb66bd2c0f7a8d9117564e258bc67852"}