{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:7ESDYIZT2WY5OUE2SPMLJKHKIG","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":"5e2080e4309fde624f5308f7cb5afc59a1141487f42cc6517b699a5aba5415df","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-01-12T04:20:46Z","title_canon_sha256":"c5678dbedffeae3ae9709fb1068727d3ee1884521df28578d75279427e19b5d5"},"schema_version":"1.0","source":{"id":"1201.2474","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2474","created_at":"2026-05-18T04:04:44Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2474v1","created_at":"2026-05-18T04:04:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2474","created_at":"2026-05-18T04:04:44Z"},{"alias_kind":"pith_short_12","alias_value":"7ESDYIZT2WY5","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_16","alias_value":"7ESDYIZT2WY5OUE2","created_at":"2026-05-18T12:26:56Z"},{"alias_kind":"pith_short_8","alias_value":"7ESDYIZT","created_at":"2026-05-18T12:26:56Z"}],"graph_snapshots":[{"event_id":"sha256:c5f88f2bf66445e07e4e1398433ffe512c7b28d99e42106c70afa73e50a97184","target":"graph","created_at":"2026-05-18T04:04:44Z","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":"This paper attempts to answer a question: for a given traversal area, how to quantify the geometric impact of anchor placement on localization performance. We present a theoretical framework for quantifying the anchor placement impact. An experimental study, as well as the field test using a UWB ranging technology, is presented. These experimental results validate the theoretical analysis. As a byproduct, we propose a two-phase localization method (TPLM) and show that TPLM outperforms the least-square method in localization accuracy by a huge margin. TPLM performs much faster than the gradient","authors_text":"Richard Lau, Scott Alexander, Yibei Ling","cross_cats":["cs.CC","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-01-12T04:20:46Z","title":"On Quantification of Anchor Placement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2474","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:dfe4387f3605e8e900c67832d0220ae15403ea4c9ec132ce4089913e068a634b","target":"record","created_at":"2026-05-18T04:04:44Z","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":"5e2080e4309fde624f5308f7cb5afc59a1141487f42cc6517b699a5aba5415df","cross_cats_sorted":["cs.CC","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NI","submitted_at":"2012-01-12T04:20:46Z","title_canon_sha256":"c5678dbedffeae3ae9709fb1068727d3ee1884521df28578d75279427e19b5d5"},"schema_version":"1.0","source":{"id":"1201.2474","kind":"arxiv","version":1}},"canonical_sha256":"f9243c2333d5b1d7509a93d8b4a8ea41a3e5875735b0fb6e7b5622b65c506ae9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9243c2333d5b1d7509a93d8b4a8ea41a3e5875735b0fb6e7b5622b65c506ae9","first_computed_at":"2026-05-18T04:04:44.346434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:04:44.346434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RXRlKjMl6xVYQZAsm/q+91qbeZ67cIsx6YPlU3IRD5O46zYT5VP+/Ok6SwMUQPo0qtZJMkcX9mxNvE1BWq0eDw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:04:44.346889Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2474","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfe4387f3605e8e900c67832d0220ae15403ea4c9ec132ce4089913e068a634b","sha256:c5f88f2bf66445e07e4e1398433ffe512c7b28d99e42106c70afa73e50a97184"],"state_sha256":"5ede4b8436a1c6a5b03ea5529aa5fd1dd5b3a9270c7ad179e0839d1d159580a8"}