{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:5FSUMD37PCF6I4OGT3L3W5RYA7","short_pith_number":"pith:5FSUMD37","canonical_record":{"source":{"id":"1907.04420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-07-09T21:30:21Z","cross_cats_sorted":[],"title_canon_sha256":"a355809bc1fea036e71d2d5ee850a781843e65bab5665d9a93eb94f694a0cd40","abstract_canon_sha256":"064232b745070b6d77ea93929a4a296266653adf984a734e9147877c20787759"},"schema_version":"1.0"},"canonical_sha256":"e965460f7f788be471c69ed7bb763807faad293fa96f38aa8564696eed4e9f59","source":{"kind":"arxiv","id":"1907.04420","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04420","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04420v2","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04420","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"5FSUMD37PCF6","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5FSUMD37PCF6I4OG","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5FSUMD37","created_at":"2026-05-18T12:33:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:5FSUMD37PCF6I4OGT3L3W5RYA7","target":"record","payload":{"canonical_record":{"source":{"id":"1907.04420","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-07-09T21:30:21Z","cross_cats_sorted":[],"title_canon_sha256":"a355809bc1fea036e71d2d5ee850a781843e65bab5665d9a93eb94f694a0cd40","abstract_canon_sha256":"064232b745070b6d77ea93929a4a296266653adf984a734e9147877c20787759"},"schema_version":"1.0"},"canonical_sha256":"e965460f7f788be471c69ed7bb763807faad293fa96f38aa8564696eed4e9f59","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:48.540419Z","signature_b64":"aEF7t0RViVI1saUwZyOUzp9MV1n7UtmJT4gfrRPFvddHgbDQOoIgaohIAkMguJamUaC8WgYv4ZD3X2kb5G1YDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e965460f7f788be471c69ed7bb763807faad293fa96f38aa8564696eed4e9f59","last_reissued_at":"2026-05-17T23:40:48.539730Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:48.539730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.04420","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":"2026-05-17T23:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FeD8ofkidl50hjbE1P3wFWdw41Ro0Aj7YcAFCdKRPwibqcPKOD7UsciOrR05nLxc1WS2ZILhbxE1yHP/Vk2bBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:52:15.855336Z"},"content_sha256":"905e7e9fa1ea9641410094a2d3f6dd741479a25c64fa0a92275669ac66b138f5","schema_version":"1.0","event_id":"sha256:905e7e9fa1ea9641410094a2d3f6dd741479a25c64fa0a92275669ac66b138f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:5FSUMD37PCF6I4OGT3L3W5RYA7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sublinear data structures for short Fr\\'echet queries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.CG","authors_text":"Anne Driemel, Ioannis Psarros, Melanie Schmidt","submitted_at":"2019-07-09T21:30:21Z","abstract_excerpt":"We study metric data structures for curves in doubling spaces, such as trajectories of moving objects in Euclidean $\\mathbb{R}^d$, where the distance between two curves is measured using the discrete Fr\\'echet distance. We design data structures in an \\emph{asymmetric} setting where the input is a curve (or a set of $n$ curves) each of complexity $m$ and the queries are with curves of complexity $k\\ll m$. We show that there exist approximate data structures that are independent of the input size $N = d \\cdot n \\cdot m$ and we study how to maintain them dynamically if the input is given in the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04420","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":"2026-05-17T23:40:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VDjpc2tibJki1Jm4EvGcc8OnjTlbt+HYYdQAoR3JBiy+IX1k//Io5Wk+ylnakd8wLT359SfpgHdNdz98YO+nCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:52:15.855910Z"},"content_sha256":"5efeb7c7ccae1e00205a700abbf239d3ca4fe9a870d479392303974844395458","schema_version":"1.0","event_id":"sha256:5efeb7c7ccae1e00205a700abbf239d3ca4fe9a870d479392303974844395458"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/bundle.json","state_url":"https://pith.science/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/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":"2026-05-25T19:52:15Z","links":{"resolver":"https://pith.science/pith/5FSUMD37PCF6I4OGT3L3W5RYA7","bundle":"https://pith.science/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/bundle.json","state":"https://pith.science/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5FSUMD37PCF6I4OGT3L3W5RYA7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:5FSUMD37PCF6I4OGT3L3W5RYA7","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":"064232b745070b6d77ea93929a4a296266653adf984a734e9147877c20787759","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-07-09T21:30:21Z","title_canon_sha256":"a355809bc1fea036e71d2d5ee850a781843e65bab5665d9a93eb94f694a0cd40"},"schema_version":"1.0","source":{"id":"1907.04420","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.04420","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"arxiv_version","alias_value":"1907.04420v2","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.04420","created_at":"2026-05-17T23:40:48Z"},{"alias_kind":"pith_short_12","alias_value":"5FSUMD37PCF6","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_16","alias_value":"5FSUMD37PCF6I4OG","created_at":"2026-05-18T12:33:10Z"},{"alias_kind":"pith_short_8","alias_value":"5FSUMD37","created_at":"2026-05-18T12:33:10Z"}],"graph_snapshots":[{"event_id":"sha256:5efeb7c7ccae1e00205a700abbf239d3ca4fe9a870d479392303974844395458","target":"graph","created_at":"2026-05-17T23:40:48Z","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":"We study metric data structures for curves in doubling spaces, such as trajectories of moving objects in Euclidean $\\mathbb{R}^d$, where the distance between two curves is measured using the discrete Fr\\'echet distance. We design data structures in an \\emph{asymmetric} setting where the input is a curve (or a set of $n$ curves) each of complexity $m$ and the queries are with curves of complexity $k\\ll m$. We show that there exist approximate data structures that are independent of the input size $N = d \\cdot n \\cdot m$ and we study how to maintain them dynamically if the input is given in the ","authors_text":"Anne Driemel, Ioannis Psarros, Melanie Schmidt","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-07-09T21:30:21Z","title":"Sublinear data structures for short Fr\\'echet queries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.04420","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":"sha256:905e7e9fa1ea9641410094a2d3f6dd741479a25c64fa0a92275669ac66b138f5","target":"record","created_at":"2026-05-17T23:40:48Z","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":"064232b745070b6d77ea93929a4a296266653adf984a734e9147877c20787759","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CG","submitted_at":"2019-07-09T21:30:21Z","title_canon_sha256":"a355809bc1fea036e71d2d5ee850a781843e65bab5665d9a93eb94f694a0cd40"},"schema_version":"1.0","source":{"id":"1907.04420","kind":"arxiv","version":2}},"canonical_sha256":"e965460f7f788be471c69ed7bb763807faad293fa96f38aa8564696eed4e9f59","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e965460f7f788be471c69ed7bb763807faad293fa96f38aa8564696eed4e9f59","first_computed_at":"2026-05-17T23:40:48.539730Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:48.539730Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aEF7t0RViVI1saUwZyOUzp9MV1n7UtmJT4gfrRPFvddHgbDQOoIgaohIAkMguJamUaC8WgYv4ZD3X2kb5G1YDA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:48.540419Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.04420","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:905e7e9fa1ea9641410094a2d3f6dd741479a25c64fa0a92275669ac66b138f5","sha256:5efeb7c7ccae1e00205a700abbf239d3ca4fe9a870d479392303974844395458"],"state_sha256":"ad57bcb0b5529d60a28d21be9397ee616be31b6f534b46a5c697ca0ffc5785f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/KIih7bTYP1yhmu/WBAMWaiOabeehAqhgnOb2jFo+KLih3zXc3TY1AQuZtQplGsx5i1PPAJBbPLJpN1gGsDhBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:52:15.859148Z","bundle_sha256":"cb15e196074f056e37a56dc736d60d8e50060ef6d7bbad14601c3cc2c3c5a5ee"}}