{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:FVUD4E2RA6TBFR6ZRVDXDFJ5RL","short_pith_number":"pith:FVUD4E2R","canonical_record":{"source":{"id":"2411.05432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-11-08T09:28:53Z","cross_cats_sorted":[],"title_canon_sha256":"b972164088136e9bd1973675e261acf4ff886f573efa301832981eb743cb383a","abstract_canon_sha256":"114412a093fd428fa872a3c71c5debd5689570921d8cfddb8839ab4e3472f05c"},"schema_version":"1.0"},"canonical_sha256":"2d683e135107a612c7d98d4771953d8af07f4b8c034b5c1ce10e42a3f4345a6e","source":{"kind":"arxiv","id":"2411.05432","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05432","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05432v1","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05432","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"FVUD4E2RA6TB","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_16","alias_value":"FVUD4E2RA6TBFR6Z","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_8","alias_value":"FVUD4E2R","created_at":"2026-07-05T09:33:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:FVUD4E2RA6TBFR6ZRVDXDFJ5RL","target":"record","payload":{"canonical_record":{"source":{"id":"2411.05432","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-11-08T09:28:53Z","cross_cats_sorted":[],"title_canon_sha256":"b972164088136e9bd1973675e261acf4ff886f573efa301832981eb743cb383a","abstract_canon_sha256":"114412a093fd428fa872a3c71c5debd5689570921d8cfddb8839ab4e3472f05c"},"schema_version":"1.0"},"canonical_sha256":"2d683e135107a612c7d98d4771953d8af07f4b8c034b5c1ce10e42a3f4345a6e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:33:00.853846Z","signature_b64":"lUfInAnApLvgqyw4uVaRqJ+8n7i+StvM/2/hHcKUeiDjsHsK9z4utD5KWZzafq++ovqWB2ATvPpe1gKmbw/hAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d683e135107a612c7d98d4771953d8af07f4b8c034b5c1ce10e42a3f4345a6e","last_reissued_at":"2026-07-05T09:33:00.853371Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:33:00.853371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.05432","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":"2026-07-05T09:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"U7rmA57qY1mbUVjA/7soqDiV75NHft8LZobBMFGI4MXW0Rvs47maCVFNvXfolYJp3QRyejM4gmSxOVjqBn74Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:56:08.328544Z"},"content_sha256":"f9adb46a7971cf0e1d708672ba3e50b9cfaee56e81cda01f661c102706261219","schema_version":"1.0","event_id":"sha256:f9adb46a7971cf0e1d708672ba3e50b9cfaee56e81cda01f661c102706261219"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:FVUD4E2RA6TBFR6ZRVDXDFJ5RL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Near-Optimal Dimension Reduction for Facility Location","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.DS","authors_text":"Di Yue, Lingxiao Huang, Robert Krauthgamer, Shaofeng H.-C. Jiang","submitted_at":"2024-11-08T09:28:53Z","abstract_excerpt":"Oblivious dimension reduction, \\`{a} la the Johnson-Lindenstrauss (JL) Lemma, is a fundamental approach for processing high-dimensional data. We study this approach for Uniform Facility Location (UFL) on a Euclidean input $X\\subset\\mathbb{R}^d$, where facilities can lie in the ambient space (not restricted to $X$). Our main result is that target dimension $m=\\tilde{O}(\\epsilon^{-2}\\mathrm{ddim})$ suffices to $(1+\\epsilon)$-approximate the optimal value of UFL on inputs whose doubling dimension is bounded by $\\mathrm{ddim}$. It significantly improves over previous results, that could only achie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05432","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/2411.05432/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":"2026-07-05T09:33:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VX2uhU4Y/A8rXXpM7Fex2Yzq9fLfTwMRzcna7+tiJpqm10Rxhj+mx4h8VEkfUPZ2FQgCAUEXlsyLTID/Q5mGCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T03:56:08.329458Z"},"content_sha256":"a89e939e3518fd98d5141a95001275a49838ea82ca8e40dcdbbe988698cec5f8","schema_version":"1.0","event_id":"sha256:a89e939e3518fd98d5141a95001275a49838ea82ca8e40dcdbbe988698cec5f8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/bundle.json","state_url":"https://pith.science/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/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":"2026-08-10T03:56:08Z","links":{"resolver":"https://pith.science/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL","bundle":"https://pith.science/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/bundle.json","state":"https://pith.science/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FVUD4E2RA6TBFR6ZRVDXDFJ5RL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:FVUD4E2RA6TBFR6ZRVDXDFJ5RL","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":"114412a093fd428fa872a3c71c5debd5689570921d8cfddb8839ab4e3472f05c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-11-08T09:28:53Z","title_canon_sha256":"b972164088136e9bd1973675e261acf4ff886f573efa301832981eb743cb383a"},"schema_version":"1.0","source":{"id":"2411.05432","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.05432","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"arxiv_version","alias_value":"2411.05432v1","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.05432","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_12","alias_value":"FVUD4E2RA6TB","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_16","alias_value":"FVUD4E2RA6TBFR6Z","created_at":"2026-07-05T09:33:00Z"},{"alias_kind":"pith_short_8","alias_value":"FVUD4E2R","created_at":"2026-07-05T09:33:00Z"}],"graph_snapshots":[{"event_id":"sha256:a89e939e3518fd98d5141a95001275a49838ea82ca8e40dcdbbe988698cec5f8","target":"graph","created_at":"2026-07-05T09:33:00Z","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/2411.05432/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Oblivious dimension reduction, \\`{a} la the Johnson-Lindenstrauss (JL) Lemma, is a fundamental approach for processing high-dimensional data. We study this approach for Uniform Facility Location (UFL) on a Euclidean input $X\\subset\\mathbb{R}^d$, where facilities can lie in the ambient space (not restricted to $X$). Our main result is that target dimension $m=\\tilde{O}(\\epsilon^{-2}\\mathrm{ddim})$ suffices to $(1+\\epsilon)$-approximate the optimal value of UFL on inputs whose doubling dimension is bounded by $\\mathrm{ddim}$. It significantly improves over previous results, that could only achie","authors_text":"Di Yue, Lingxiao Huang, Robert Krauthgamer, Shaofeng H.-C. Jiang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-11-08T09:28:53Z","title":"Near-Optimal Dimension Reduction for Facility Location"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.05432","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:f9adb46a7971cf0e1d708672ba3e50b9cfaee56e81cda01f661c102706261219","target":"record","created_at":"2026-07-05T09:33:00Z","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":"114412a093fd428fa872a3c71c5debd5689570921d8cfddb8839ab4e3472f05c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2024-11-08T09:28:53Z","title_canon_sha256":"b972164088136e9bd1973675e261acf4ff886f573efa301832981eb743cb383a"},"schema_version":"1.0","source":{"id":"2411.05432","kind":"arxiv","version":1}},"canonical_sha256":"2d683e135107a612c7d98d4771953d8af07f4b8c034b5c1ce10e42a3f4345a6e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2d683e135107a612c7d98d4771953d8af07f4b8c034b5c1ce10e42a3f4345a6e","first_computed_at":"2026-07-05T09:33:00.853371Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:33:00.853371Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lUfInAnApLvgqyw4uVaRqJ+8n7i+StvM/2/hHcKUeiDjsHsK9z4utD5KWZzafq++ovqWB2ATvPpe1gKmbw/hAw==","signature_status":"signed_v1","signed_at":"2026-07-05T09:33:00.853846Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.05432","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f9adb46a7971cf0e1d708672ba3e50b9cfaee56e81cda01f661c102706261219","sha256:a89e939e3518fd98d5141a95001275a49838ea82ca8e40dcdbbe988698cec5f8"],"state_sha256":"3b78d8e44662f1c233b6b1f72ec6bb1909bbaa1e3a1271bf625adaa546f46d9c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vD30bUl1eddCzu0gCBamxYKRZvaQpj8ZhcAct8IRSvQuMq8yCSyqNE72BWiVh1fUcWKEcKJ0akWlIxrezAXwDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T03:56:08.334495Z","bundle_sha256":"257c8b86f56d1ec44c2ce7ed40802f1a37b25f705c9232ab888be3d75a98a319"}}