{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:UUEQOIXGDPVOSG7I6N6NLR5AP2","short_pith_number":"pith:UUEQOIXG","schema_version":"1.0","canonical_sha256":"a5090722e61beae91be8f37cd5c7a07ea23921b3443a442b0be4742b4ff112ad","source":{"kind":"arxiv","id":"1607.00816","version":3},"attestation_state":"computed","paper":{"title":"Time for dithering: fast and quantized random embeddings via the restricted isometry property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Laurent Jacques, Valerio Cambareri","submitted_at":"2016-07-04T10:49:33Z","abstract_excerpt":"Recently, many works have focused on the characterization of non-linear dimensionality reduction methods obtained by quantizing linear embeddings, e.g., to reach fast processing time, efficient data compression procedures, novel geometry-preserving embeddings or to estimate the information/bits stored in this reduced data representation. In this work, we prove that many linear maps known to respect the restricted isometry property (RIP) can induce a quantized random embedding with controllable multiplicative and additive distortions with respect to the pairwise distances of the data points bei"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1607.00816","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2016-07-04T10:49:33Z","cross_cats_sorted":["math.IT"],"title_canon_sha256":"6cd847c151488d58e32ae64e79db11bca993a832d4dd2ccdfcab381e588d7db3","abstract_canon_sha256":"2510aa61265e8c252e98b627d52366b8ebf90c6527004e76728ecd63108a8d93"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:50.848947Z","signature_b64":"aqv8i10bOVwVL53ELy5Upd+WopIYzevLDHsaOEAwfWaIHfYMAC3AwmhbMHxy99BgO+NwUmeIT83efmH7ozsqCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5090722e61beae91be8f37cd5c7a07ea23921b3443a442b0be4742b4ff112ad","last_reissued_at":"2026-05-18T00:53:50.848533Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:50.848533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Time for dithering: fast and quantized random embeddings via the restricted isometry property","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.IT"],"primary_cat":"cs.IT","authors_text":"Laurent Jacques, Valerio Cambareri","submitted_at":"2016-07-04T10:49:33Z","abstract_excerpt":"Recently, many works have focused on the characterization of non-linear dimensionality reduction methods obtained by quantizing linear embeddings, e.g., to reach fast processing time, efficient data compression procedures, novel geometry-preserving embeddings or to estimate the information/bits stored in this reduced data representation. In this work, we prove that many linear maps known to respect the restricted isometry property (RIP) can induce a quantized random embedding with controllable multiplicative and additive distortions with respect to the pairwise distances of the data points bei"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.00816","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1607.00816","created_at":"2026-05-18T00:53:50.848594+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.00816v3","created_at":"2026-05-18T00:53:50.848594+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.00816","created_at":"2026-05-18T00:53:50.848594+00:00"},{"alias_kind":"pith_short_12","alias_value":"UUEQOIXGDPVO","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_16","alias_value":"UUEQOIXGDPVOSG7I","created_at":"2026-05-18T12:30:46.583412+00:00"},{"alias_kind":"pith_short_8","alias_value":"UUEQOIXG","created_at":"2026-05-18T12:30:46.583412+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2","json":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2.json","graph_json":"https://pith.science/api/pith-number/UUEQOIXGDPVOSG7I6N6NLR5AP2/graph.json","events_json":"https://pith.science/api/pith-number/UUEQOIXGDPVOSG7I6N6NLR5AP2/events.json","paper":"https://pith.science/paper/UUEQOIXG"},"agent_actions":{"view_html":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2","download_json":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2.json","view_paper":"https://pith.science/paper/UUEQOIXG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.00816&json=true","fetch_graph":"https://pith.science/api/pith-number/UUEQOIXGDPVOSG7I6N6NLR5AP2/graph.json","fetch_events":"https://pith.science/api/pith-number/UUEQOIXGDPVOSG7I6N6NLR5AP2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2/action/storage_attestation","attest_author":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2/action/author_attestation","sign_citation":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2/action/citation_signature","submit_replication":"https://pith.science/pith/UUEQOIXGDPVOSG7I6N6NLR5AP2/action/replication_record"}},"created_at":"2026-05-18T00:53:50.848594+00:00","updated_at":"2026-05-18T00:53:50.848594+00:00"}