{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SO5SVFWUFWZGY2BFW3VDW6LJP4","short_pith_number":"pith:SO5SVFWU","canonical_record":{"source":{"id":"2403.05041","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T04:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"c83ed4d0575946b347759e1ba00203ace363970f1d5c358ade78f55ac0dfe8b0","abstract_canon_sha256":"a86349753ee786dd5588e7272e6824381ab10f0e5571076bc3ccb0a0dbc780ef"},"schema_version":"1.0"},"canonical_sha256":"93bb2a96d42db26c6825b6ea3b79697f0d1fd1fca3e5eb14debbbbeaa422133e","source":{"kind":"arxiv","id":"2403.05041","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.05041","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"arxiv_version","alias_value":"2403.05041v1","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.05041","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_12","alias_value":"SO5SVFWUFWZG","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_16","alias_value":"SO5SVFWUFWZGY2BF","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_8","alias_value":"SO5SVFWU","created_at":"2026-07-05T07:53:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SO5SVFWUFWZGY2BFW3VDW6LJP4","target":"record","payload":{"canonical_record":{"source":{"id":"2403.05041","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T04:35:55Z","cross_cats_sorted":[],"title_canon_sha256":"c83ed4d0575946b347759e1ba00203ace363970f1d5c358ade78f55ac0dfe8b0","abstract_canon_sha256":"a86349753ee786dd5588e7272e6824381ab10f0e5571076bc3ccb0a0dbc780ef"},"schema_version":"1.0"},"canonical_sha256":"93bb2a96d42db26c6825b6ea3b79697f0d1fd1fca3e5eb14debbbbeaa422133e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:53:37.578089Z","signature_b64":"vBfhRF4bxz1CUpk5NOjn4Gc1m49EhonRaoPhfxfk4fc8LnepA3obChjQ7Emsnde0V6Kh9TYydAb49GFlIkGtDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93bb2a96d42db26c6825b6ea3b79697f0d1fd1fca3e5eb14debbbbeaa422133e","last_reissued_at":"2026-07-05T07:53:37.577740Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:53:37.577740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.05041","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":"2026-07-05T07:53:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C7Y8Q6cgo+PwGYIZtdrEGU2jDLIm3j0rGlVuBJsj2d1z34OXYvyHv7h01knzvV+iCXne852JNAm0A1KTPfnPDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T09:46:40.042546Z"},"content_sha256":"9be79caf4ed6a2830fc4b810c821200379570db48a2a2793648d2b18d4794f4b","schema_version":"1.0","event_id":"sha256:9be79caf4ed6a2830fc4b810c821200379570db48a2a2793648d2b18d4794f4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SO5SVFWUFWZGY2BFW3VDW6LJP4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-Dependent LSH for the Earth Mover's Distance","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Erik Waingarten, Rajesh Jayaram, Tian Zhang","submitted_at":"2024-03-08T04:35:55Z","abstract_excerpt":"We give new data-dependent locality sensitive hashing schemes (LSH) for the Earth Mover's Distance ($\\mathsf{EMD}$), and as a result, improve the best approximation for nearest neighbor search under $\\mathsf{EMD}$ by a quadratic factor. Here, the metric $\\mathsf{EMD}_s(\\mathbb{R}^d,\\ell_p)$ consists of sets of $s$ vectors in $\\mathbb{R}^d$, and for any two sets $x,y$ of $s$ vectors the distance $\\mathsf{EMD}(x,y)$ is the minimum cost of a perfect matching between $x,y$, where the cost of matching two vectors is their $\\ell_p$ distance. Previously, Andoni, Indyk, and Krauthgamer gave a (data-in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.05041","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2403.05041/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T07:53:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WdEbKqgrPcyBdkN0xT0RGBg1IleREzY0C37+nOcCI3ibp1kvZBhu1+HLCp8m2AkCzg4ufW2WQebx1Nns+c/CDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T09:46:40.043087Z"},"content_sha256":"05fff11dbbe495d70afa52c180c38efebc227ad0629e2d8d8f7c85e3d93092f9","schema_version":"1.0","event_id":"sha256:05fff11dbbe495d70afa52c180c38efebc227ad0629e2d8d8f7c85e3d93092f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/bundle.json","state_url":"https://pith.science/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/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":"2026-08-11T09:46:40Z","links":{"resolver":"https://pith.science/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4","bundle":"https://pith.science/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/bundle.json","state":"https://pith.science/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SO5SVFWUFWZGY2BFW3VDW6LJP4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SO5SVFWUFWZGY2BFW3VDW6LJP4","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":"a86349753ee786dd5588e7272e6824381ab10f0e5571076bc3ccb0a0dbc780ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T04:35:55Z","title_canon_sha256":"c83ed4d0575946b347759e1ba00203ace363970f1d5c358ade78f55ac0dfe8b0"},"schema_version":"1.0","source":{"id":"2403.05041","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.05041","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"arxiv_version","alias_value":"2403.05041v1","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.05041","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_12","alias_value":"SO5SVFWUFWZG","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_16","alias_value":"SO5SVFWUFWZGY2BF","created_at":"2026-07-05T07:53:37Z"},{"alias_kind":"pith_short_8","alias_value":"SO5SVFWU","created_at":"2026-07-05T07:53:37Z"}],"graph_snapshots":[{"event_id":"sha256:05fff11dbbe495d70afa52c180c38efebc227ad0629e2d8d8f7c85e3d93092f9","target":"graph","created_at":"2026-07-05T07:53:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2403.05041/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give new data-dependent locality sensitive hashing schemes (LSH) for the Earth Mover's Distance ($\\mathsf{EMD}$), and as a result, improve the best approximation for nearest neighbor search under $\\mathsf{EMD}$ by a quadratic factor. Here, the metric $\\mathsf{EMD}_s(\\mathbb{R}^d,\\ell_p)$ consists of sets of $s$ vectors in $\\mathbb{R}^d$, and for any two sets $x,y$ of $s$ vectors the distance $\\mathsf{EMD}(x,y)$ is the minimum cost of a perfect matching between $x,y$, where the cost of matching two vectors is their $\\ell_p$ distance. Previously, Andoni, Indyk, and Krauthgamer gave a (data-in","authors_text":"Erik Waingarten, Rajesh Jayaram, Tian Zhang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T04:35:55Z","title":"Data-Dependent LSH for the Earth Mover's Distance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.05041","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":"sha256:9be79caf4ed6a2830fc4b810c821200379570db48a2a2793648d2b18d4794f4b","target":"record","created_at":"2026-07-05T07:53:37Z","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":"a86349753ee786dd5588e7272e6824381ab10f0e5571076bc3ccb0a0dbc780ef","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2024-03-08T04:35:55Z","title_canon_sha256":"c83ed4d0575946b347759e1ba00203ace363970f1d5c358ade78f55ac0dfe8b0"},"schema_version":"1.0","source":{"id":"2403.05041","kind":"arxiv","version":1}},"canonical_sha256":"93bb2a96d42db26c6825b6ea3b79697f0d1fd1fca3e5eb14debbbbeaa422133e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93bb2a96d42db26c6825b6ea3b79697f0d1fd1fca3e5eb14debbbbeaa422133e","first_computed_at":"2026-07-05T07:53:37.577740Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:53:37.577740Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vBfhRF4bxz1CUpk5NOjn4Gc1m49EhonRaoPhfxfk4fc8LnepA3obChjQ7Emsnde0V6Kh9TYydAb49GFlIkGtDg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:53:37.578089Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.05041","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9be79caf4ed6a2830fc4b810c821200379570db48a2a2793648d2b18d4794f4b","sha256:05fff11dbbe495d70afa52c180c38efebc227ad0629e2d8d8f7c85e3d93092f9"],"state_sha256":"fa5869c462dd18a93780b4194dc6733accd41f3f781e30c80115ebea9795fff5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p7RZjTZrD0cgtwUEENZ1bIgd/b2Ls5nx2LnG8XAgKDPku62c1/w6KCqbXFSbUGGQyujnII7zMtk4qZge9W6uAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T09:46:40.054864Z","bundle_sha256":"159c80885d046c023e4f1a8ad0c55181670d3e80e489a3ee905d37c60956bcb0"}}