{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:X4QG2B5OQGE36RVDIMIB7LCTTO","short_pith_number":"pith:X4QG2B5O","schema_version":"1.0","canonical_sha256":"bf206d07ae8189bf46a343101fac539ba5eedb6982e0b00289ba3cd1a15b9597","source":{"kind":"arxiv","id":"1811.06856","version":2},"attestation_state":"computed","paper":{"title":"Estimation from Quantized Gaussian Measurements: When and How to Use Dither","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"stat.AP","authors_text":"Joshua Rapp, Robin M. A. Dawson, Vivek K Goyal","submitted_at":"2018-11-16T15:28:41Z","abstract_excerpt":"Subtractive dither is a powerful method for removing the signal dependence of quantization noise for coarsely-quantized signals. However, estimation from dithered measurements often naively applies the sample mean or midrange, even when the total noise is not well described with a Gaussian or uniform distribution. We show that the generalized Gaussian distribution approximately describes subtractively-dithered, quantized samples of a Gaussian signal. Furthermore, a generalized Gaussian fit leads to simple estimators based on order statistics that match the performance of more complicated maxim"},"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":"1811.06856","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.AP","submitted_at":"2018-11-16T15:28:41Z","cross_cats_sorted":["eess.SP"],"title_canon_sha256":"97b5978222ed206c5fc8d70ea9cb76acdc89a889b8615f356485a551f2dead3b","abstract_canon_sha256":"f9259b03da83eaf39e972e53ed5f7b3d22a49344f45dd47bd65a1da8b7714f6e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:26.440592Z","signature_b64":"Qi5/h+LCmw45WImn3zTawa5eb7Ipaihao0ey9ErmBe9hIPCipD+zjfoYJkvlUvd1CDAr3z72fcPsEnDTrakxCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bf206d07ae8189bf46a343101fac539ba5eedb6982e0b00289ba3cd1a15b9597","last_reissued_at":"2026-05-17T23:42:26.439835Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:26.439835Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Estimation from Quantized Gaussian Measurements: When and How to Use Dither","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["eess.SP"],"primary_cat":"stat.AP","authors_text":"Joshua Rapp, Robin M. A. Dawson, Vivek K Goyal","submitted_at":"2018-11-16T15:28:41Z","abstract_excerpt":"Subtractive dither is a powerful method for removing the signal dependence of quantization noise for coarsely-quantized signals. However, estimation from dithered measurements often naively applies the sample mean or midrange, even when the total noise is not well described with a Gaussian or uniform distribution. We show that the generalized Gaussian distribution approximately describes subtractively-dithered, quantized samples of a Gaussian signal. Furthermore, a generalized Gaussian fit leads to simple estimators based on order statistics that match the performance of more complicated maxim"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.06856","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1811.06856","created_at":"2026-05-17T23:42:26.439969+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.06856v2","created_at":"2026-05-17T23:42:26.439969+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.06856","created_at":"2026-05-17T23:42:26.439969+00:00"},{"alias_kind":"pith_short_12","alias_value":"X4QG2B5OQGE3","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_16","alias_value":"X4QG2B5OQGE36RVD","created_at":"2026-05-18T12:33:01.666342+00:00"},{"alias_kind":"pith_short_8","alias_value":"X4QG2B5O","created_at":"2026-05-18T12:33:01.666342+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/X4QG2B5OQGE36RVDIMIB7LCTTO","json":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO.json","graph_json":"https://pith.science/api/pith-number/X4QG2B5OQGE36RVDIMIB7LCTTO/graph.json","events_json":"https://pith.science/api/pith-number/X4QG2B5OQGE36RVDIMIB7LCTTO/events.json","paper":"https://pith.science/paper/X4QG2B5O"},"agent_actions":{"view_html":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO","download_json":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO.json","view_paper":"https://pith.science/paper/X4QG2B5O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.06856&json=true","fetch_graph":"https://pith.science/api/pith-number/X4QG2B5OQGE36RVDIMIB7LCTTO/graph.json","fetch_events":"https://pith.science/api/pith-number/X4QG2B5OQGE36RVDIMIB7LCTTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO/action/storage_attestation","attest_author":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO/action/author_attestation","sign_citation":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO/action/citation_signature","submit_replication":"https://pith.science/pith/X4QG2B5OQGE36RVDIMIB7LCTTO/action/replication_record"}},"created_at":"2026-05-17T23:42:26.439969+00:00","updated_at":"2026-05-17T23:42:26.439969+00:00"}