{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:KOSWSBVGCHIKKTEKX3AXIINVL6","short_pith_number":"pith:KOSWSBVG","canonical_record":{"source":{"id":"1203.1042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2012-03-05T21:01:02Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"f7388a2a235b325dca95bed7b58570a66cdbed723ab8b66dba4942015f70bcf5","abstract_canon_sha256":"4290479346fdac4a8e1e7b5cb4f912b66137c3b75205b7b3d2192791826cf481"},"schema_version":"1.0"},"canonical_sha256":"53a56906a611d0a54c8abec17421b55f86713f76697f08ede453f481a9f3e92f","source":{"kind":"arxiv","id":"1203.1042","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1042","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1042v1","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1042","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"pith_short_12","alias_value":"KOSWSBVGCHIK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KOSWSBVGCHIKKTEK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KOSWSBVG","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:KOSWSBVGCHIKKTEKX3AXIINVL6","target":"record","payload":{"canonical_record":{"source":{"id":"1203.1042","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2012-03-05T21:01:02Z","cross_cats_sorted":["cs.CC"],"title_canon_sha256":"f7388a2a235b325dca95bed7b58570a66cdbed723ab8b66dba4942015f70bcf5","abstract_canon_sha256":"4290479346fdac4a8e1e7b5cb4f912b66137c3b75205b7b3d2192791826cf481"},"schema_version":"1.0"},"canonical_sha256":"53a56906a611d0a54c8abec17421b55f86713f76697f08ede453f481a9f3e92f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:00:48.868897Z","signature_b64":"qUCNO6tQJD/4BCzqj2XdMiUlcghwgPHrx3IEKwJoenx37kg203KFPpHJT6zZQkFasxHLvhEYDPCvRaowsT5yDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53a56906a611d0a54c8abec17421b55f86713f76697f08ede453f481a9f3e92f","last_reissued_at":"2026-05-18T04:00:48.868470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:00:48.868470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.1042","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:00:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dLOfV4u3RN5v14leP5zj5GlgqEiXKof6GYaxs1J7awX1aNLB2ZJkdW12FB3zh8k8AAO+WiXl0jME7fFSZ/TODw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:09:06.179878Z"},"content_sha256":"12ced37d2664d7a1506d371e3712eaf242331d944cbd02ae1aa3ae38cb932ab8","schema_version":"1.0","event_id":"sha256:12ced37d2664d7a1506d371e3712eaf242331d944cbd02ae1aa3ae38cb932ab8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:KOSWSBVGCHIKKTEKX3AXIINVL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lower bounds for Arrangement-based Range-Free Localization in Sensor Networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.CC"],"primary_cat":"cs.CG","authors_text":"Chinya Ravishankar, Sandeep Gupta","submitted_at":"2012-03-05T21:01:02Z","abstract_excerpt":"Colander are location aware entities that collaborate to determine approximate location of mobile or static objects when beacons from an object are received by all colanders that are within its distance $R$. This model, referred to as arrangement-based localization, does not require distance estimation between entities, which has been shown to be highly erroneous in practice. Colander are applicable in localization in sensor networks and tracking of mobile objects.\n  A set $S \\subset {\\mathbb R}^2$ is an $(R,\\epsilon)$-colander if by placing receivers at the points of $S$, a wireless device wi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1042","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:00:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNdghgWCYFAtRV7rHqF4up+lNrJBDrdMgkcEoS5SqPPqDFkhKJgVqsqRajrK9614AUo7XwOsx1MUegfVD0GPCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T20:09:06.180450Z"},"content_sha256":"57f5abd643968d44da79d7f9fb5e3ed2ac67e677f34a612c6fc7900323fe08b5","schema_version":"1.0","event_id":"sha256:57f5abd643968d44da79d7f9fb5e3ed2ac67e677f34a612c6fc7900323fe08b5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/bundle.json","state_url":"https://pith.science/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T20:09:06Z","links":{"resolver":"https://pith.science/pith/KOSWSBVGCHIKKTEKX3AXIINVL6","bundle":"https://pith.science/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/bundle.json","state":"https://pith.science/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KOSWSBVGCHIKKTEKX3AXIINVL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:KOSWSBVGCHIKKTEKX3AXIINVL6","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":"4290479346fdac4a8e1e7b5cb4f912b66137c3b75205b7b3d2192791826cf481","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2012-03-05T21:01:02Z","title_canon_sha256":"f7388a2a235b325dca95bed7b58570a66cdbed723ab8b66dba4942015f70bcf5"},"schema_version":"1.0","source":{"id":"1203.1042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.1042","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"arxiv_version","alias_value":"1203.1042v1","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.1042","created_at":"2026-05-18T04:00:48Z"},{"alias_kind":"pith_short_12","alias_value":"KOSWSBVGCHIK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"KOSWSBVGCHIKKTEK","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"KOSWSBVG","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:57f5abd643968d44da79d7f9fb5e3ed2ac67e677f34a612c6fc7900323fe08b5","target":"graph","created_at":"2026-05-18T04:00:48Z","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":"Colander are location aware entities that collaborate to determine approximate location of mobile or static objects when beacons from an object are received by all colanders that are within its distance $R$. This model, referred to as arrangement-based localization, does not require distance estimation between entities, which has been shown to be highly erroneous in practice. Colander are applicable in localization in sensor networks and tracking of mobile objects.\n  A set $S \\subset {\\mathbb R}^2$ is an $(R,\\epsilon)$-colander if by placing receivers at the points of $S$, a wireless device wi","authors_text":"Chinya Ravishankar, Sandeep Gupta","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2012-03-05T21:01:02Z","title":"Lower bounds for Arrangement-based Range-Free Localization in Sensor Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.1042","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":"sha256:12ced37d2664d7a1506d371e3712eaf242331d944cbd02ae1aa3ae38cb932ab8","target":"record","created_at":"2026-05-18T04:00:48Z","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":"4290479346fdac4a8e1e7b5cb4f912b66137c3b75205b7b3d2192791826cf481","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2012-03-05T21:01:02Z","title_canon_sha256":"f7388a2a235b325dca95bed7b58570a66cdbed723ab8b66dba4942015f70bcf5"},"schema_version":"1.0","source":{"id":"1203.1042","kind":"arxiv","version":1}},"canonical_sha256":"53a56906a611d0a54c8abec17421b55f86713f76697f08ede453f481a9f3e92f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53a56906a611d0a54c8abec17421b55f86713f76697f08ede453f481a9f3e92f","first_computed_at":"2026-05-18T04:00:48.868470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:00:48.868470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qUCNO6tQJD/4BCzqj2XdMiUlcghwgPHrx3IEKwJoenx37kg203KFPpHJT6zZQkFasxHLvhEYDPCvRaowsT5yDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:00:48.868897Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.1042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:12ced37d2664d7a1506d371e3712eaf242331d944cbd02ae1aa3ae38cb932ab8","sha256:57f5abd643968d44da79d7f9fb5e3ed2ac67e677f34a612c6fc7900323fe08b5"],"state_sha256":"7ee5bdf56f14196803528a4793bb0b883382922b605ea631cdb21818ce1c6392"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rPwvPtDbcz0oZToEF7/eIr5AxsVq8IAntjU/hJyRZUQ/i/QVGwYDNqSWGgsWplZQngwH2NyRRCpM8T4hdnB5Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T20:09:06.184257Z","bundle_sha256":"6e5d72798fb575d08660a71531d32cb0c2c11ad119bc5c0a52cbcfce05f8e498"}}