{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:RK7J7CFQ43BY7OSIN2AHPVOZEH","short_pith_number":"pith:RK7J7CFQ","canonical_record":{"source":{"id":"0810.4423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2008-10-24T09:44:03Z","cross_cats_sorted":["cs.DM","cs.DS"],"title_canon_sha256":"18519c9bce666454cd945a529a53b300ff8526b4eca796142adc2d8d5d04271e","abstract_canon_sha256":"5f7b3f2567bf7d745bf3894bab695cfdaa7faf050d311fdaf59d9cea8a82496b"},"schema_version":"1.0"},"canonical_sha256":"8abe9f88b0e6c38fba486e8077d5d921d0fdf65760e9855ea8493f2b37866697","source":{"kind":"arxiv","id":"0810.4423","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.4423","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"0810.4423v2","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.4423","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"RK7J7CFQ43BY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RK7J7CFQ43BY7OSI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RK7J7CFQ","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:RK7J7CFQ43BY7OSIN2AHPVOZEH","target":"record","payload":{"canonical_record":{"source":{"id":"0810.4423","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2008-10-24T09:44:03Z","cross_cats_sorted":["cs.DM","cs.DS"],"title_canon_sha256":"18519c9bce666454cd945a529a53b300ff8526b4eca796142adc2d8d5d04271e","abstract_canon_sha256":"5f7b3f2567bf7d745bf3894bab695cfdaa7faf050d311fdaf59d9cea8a82496b"},"schema_version":"1.0"},"canonical_sha256":"8abe9f88b0e6c38fba486e8077d5d921d0fdf65760e9855ea8493f2b37866697","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:37:29.260792Z","signature_b64":"IHd8/YQw57Lx+rIJfSm5BS0a26wvx9pk+P5kpSZN6OcPAeNtpmRUHutGewGN4UmPMfQhxHcUazYynuYsj53KCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8abe9f88b0e6c38fba486e8077d5d921d0fdf65760e9855ea8493f2b37866697","last_reissued_at":"2026-05-18T03:37:29.260211Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:37:29.260211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.4423","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gnp33oJJEJFNES0ZsdA49qnJow08AXHnh37UQwaa6UlY8BQwerDDbpSzZkTMbspeaxrAesUN8/TDR12uX0jdDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:58:26.410783Z"},"content_sha256":"459d4e1d9f9cc09d0155fa41ff4ea6875884a8efdec7c9f9d24008906473b136","schema_version":"1.0","event_id":"sha256:459d4e1d9f9cc09d0155fa41ff4ea6875884a8efdec7c9f9d24008906473b136"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:RK7J7CFQ43BY7OSIN2AHPVOZEH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Efficient Algorithmic Techniques for Several Multidimensional Geometric Data Management and Analysis Problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM","cs.DS"],"primary_cat":"cs.CG","authors_text":"Mugurel Ionut Andreica","submitted_at":"2008-10-24T09:44:03Z","abstract_excerpt":"In this paper I present several novel, efficient, algorithmic techniques for solving some multidimensional geometric data management and analysis problems. The techniques are based on several data structures from computational geometry (e.g. segment tree and range tree) and on the well-known sweep-line method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.4423","kind":"arxiv","version":2},"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":"2026-05-18T03:37:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DwQFGHp+5MqOU1SmhXHxDVNEBUHPDw5fGbErHDKk/SaRmHW0ZJb/q+SBUl5dljW2B2jfMD8t8a76Ggxigg76Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T04:58:26.411500Z"},"content_sha256":"47ead212dc15b3827bba8613a5c03745e38db4aa093405b723f24226f42c64b1","schema_version":"1.0","event_id":"sha256:47ead212dc15b3827bba8613a5c03745e38db4aa093405b723f24226f42c64b1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/bundle.json","state_url":"https://pith.science/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/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":"2026-06-08T04:58:26Z","links":{"resolver":"https://pith.science/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH","bundle":"https://pith.science/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/bundle.json","state":"https://pith.science/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RK7J7CFQ43BY7OSIN2AHPVOZEH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:RK7J7CFQ43BY7OSIN2AHPVOZEH","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":"5f7b3f2567bf7d745bf3894bab695cfdaa7faf050d311fdaf59d9cea8a82496b","cross_cats_sorted":["cs.DM","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2008-10-24T09:44:03Z","title_canon_sha256":"18519c9bce666454cd945a529a53b300ff8526b4eca796142adc2d8d5d04271e"},"schema_version":"1.0","source":{"id":"0810.4423","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.4423","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"arxiv_version","alias_value":"0810.4423v2","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.4423","created_at":"2026-05-18T03:37:29Z"},{"alias_kind":"pith_short_12","alias_value":"RK7J7CFQ43BY","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"RK7J7CFQ43BY7OSI","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"RK7J7CFQ","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:47ead212dc15b3827bba8613a5c03745e38db4aa093405b723f24226f42c64b1","target":"graph","created_at":"2026-05-18T03:37:29Z","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 paper I present several novel, efficient, algorithmic techniques for solving some multidimensional geometric data management and analysis problems. The techniques are based on several data structures from computational geometry (e.g. segment tree and range tree) and on the well-known sweep-line method.","authors_text":"Mugurel Ionut Andreica","cross_cats":["cs.DM","cs.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2008-10-24T09:44:03Z","title":"Efficient Algorithmic Techniques for Several Multidimensional Geometric Data Management and Analysis Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.4423","kind":"arxiv","version":2},"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":"sha256:459d4e1d9f9cc09d0155fa41ff4ea6875884a8efdec7c9f9d24008906473b136","target":"record","created_at":"2026-05-18T03:37:29Z","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":"5f7b3f2567bf7d745bf3894bab695cfdaa7faf050d311fdaf59d9cea8a82496b","cross_cats_sorted":["cs.DM","cs.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2008-10-24T09:44:03Z","title_canon_sha256":"18519c9bce666454cd945a529a53b300ff8526b4eca796142adc2d8d5d04271e"},"schema_version":"1.0","source":{"id":"0810.4423","kind":"arxiv","version":2}},"canonical_sha256":"8abe9f88b0e6c38fba486e8077d5d921d0fdf65760e9855ea8493f2b37866697","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8abe9f88b0e6c38fba486e8077d5d921d0fdf65760e9855ea8493f2b37866697","first_computed_at":"2026-05-18T03:37:29.260211Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:29.260211Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IHd8/YQw57Lx+rIJfSm5BS0a26wvx9pk+P5kpSZN6OcPAeNtpmRUHutGewGN4UmPMfQhxHcUazYynuYsj53KCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:29.260792Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.4423","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:459d4e1d9f9cc09d0155fa41ff4ea6875884a8efdec7c9f9d24008906473b136","sha256:47ead212dc15b3827bba8613a5c03745e38db4aa093405b723f24226f42c64b1"],"state_sha256":"d8de892bc2d103d2bbd51176ce691c6258ec41c7dab75113a03e0f723fbd11d3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6bz/RPpkPS2qboWRhv4gpY/hhruG/zeQ0w969cV/1KLOqJkr8aE0nStMnXlRppUmaCw+vHVAJsVSvD520zC4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T04:58:26.415158Z","bundle_sha256":"11349aed78c84e4309048ba819fc76a935a838e34adc8f26582a5d603cd0c6b5"}}