{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QCRDLQDLLSBHY2RQVFPUQUCOZR","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":"c216dfc3d6f4c05db16f9842f2734b1b14eb5c4729811d4a19fd552da6290e58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-25T19:40:49Z","title_canon_sha256":"944ba76e6fb0e5b5a6267d03d5d9ca989f1ebcd89ee707305bc764e01bd7d88d"},"schema_version":"1.0","source":{"id":"1812.10162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.10162","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"arxiv_version","alias_value":"1812.10162v1","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.10162","created_at":"2026-05-17T23:57:24Z"},{"alias_kind":"pith_short_12","alias_value":"QCRDLQDLLSBH","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QCRDLQDLLSBHY2RQ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QCRDLQDL","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:b37f5219a2f7d3350c43e27bb45c7f7ddb3780e4d67f4085167b9b409834e7e5","target":"graph","created_at":"2026-05-17T23:57:24Z","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":"Consider $k$ robots initially located at a point inside a region $T$. Each robot can move anywhere in $T$ independently of other robots with maximum speed one. The goal of the robots is to \\emph{evacuate} $T$ through an exit at an unknown location on the boundary of $T$. The objective is to minimize the \\emph{evacuation time}, which is defined as the time the \\emph{last} robot reaches the exit. We consider the \\emph{face-to-face} communication model for the robots: a robot can communicate with another robot only when they meet in $T$.\n  In this paper, we give upper and lower bounds for the fac","authors_text":"Huda Chuangpishit, Jaroslav Opatrny, Lata Narayanan, Saeed Mehrabi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-25T19:40:49Z","title":"Evacuating Equilateral Triangles and Squares in the Face-to-Face Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.10162","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:ebe590c2304360f8203092ebca666806f5cdccb5b0422b8a25144d8f170f4c68","target":"record","created_at":"2026-05-17T23:57:24Z","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":"c216dfc3d6f4c05db16f9842f2734b1b14eb5c4729811d4a19fd552da6290e58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2018-12-25T19:40:49Z","title_canon_sha256":"944ba76e6fb0e5b5a6267d03d5d9ca989f1ebcd89ee707305bc764e01bd7d88d"},"schema_version":"1.0","source":{"id":"1812.10162","kind":"arxiv","version":1}},"canonical_sha256":"80a235c06b5c827c6a30a95f48504ecc5f89c4154755141fc2889045243be97b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80a235c06b5c827c6a30a95f48504ecc5f89c4154755141fc2889045243be97b","first_computed_at":"2026-05-17T23:57:24.916174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:24.916174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CQMmjp8+bb/y5wIDi04zjyLOTuABsm0cBNif7k9aVaWbWiZnU5FDeQLgF6Nz4A+/bqSpXiE+sy6aurrpG2Y3Dg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:24.916825Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.10162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebe590c2304360f8203092ebca666806f5cdccb5b0422b8a25144d8f170f4c68","sha256:b37f5219a2f7d3350c43e27bb45c7f7ddb3780e4d67f4085167b9b409834e7e5"],"state_sha256":"2fe2f36de9e3e0db69b5bb4057b71a459fd66ef95f3c858633ed688245bd87a3"}