{"as_of":"2026-08-09T22:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:32dcd92f4ba68823ecf12cdbe58a9925ca2cb5afd529413180f490443166e892","coverage":[{"denominator":7,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":7,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-25T06:46:55.673388Z","state":"measured"},{"denominator":10,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":10,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-04T05:19:07.105686Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.07796","snapshot_observed_at":"2026-07-12T06:18:24.488338Z","title":"arXiv preprint arXiv:2604.07796 , year=","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2607.02896","last_updated":"2026-07-03T02:47:11Z","snapshot_observed_at":"2026-08-04T00:48:59.414172Z","submitted_at":"2026-07-03T02:47:11Z","title":"Open Problem: Is Interaction Necessary for Order-Optimal 1-bit Mean Estimation?","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-07-12T06:18:24.488338Z"},"links":{"cited_paper":"/paper/2604.07796","citing_paper":"/paper/2607.02896"},"observation_digest":"sha256:c28799f86f1985f8a68c24e0444b2ffaab0a444993871890bdb7e03b813ff74c","observation_id":"22fb393b-3743-4a93-a039-532790e67b25","resolution":{"observed_at":"2026-07-12T06:18:24.488338Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.07796","snapshot_observed_at":"2026-07-31T17:22:50.266836Z","title":"Order-optimal sequential 1-bit mean estimation in general tail regimes","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.24358","last_updated":"2026-07-27T12:35:21Z","snapshot_observed_at":"2026-08-07T01:05:35.783676Z","submitted_at":"2026-07-27T12:35:21Z","title":"Universal Refinement without Interaction: Order-Optimal 1-Bit Mean Estimation","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-07-31T17:22:50.266836Z"},"links":{"cited_paper":"/paper/2604.07796","citing_paper":"/paper/2607.24358"},"observation_digest":"sha256:b2c4197a86bb2b41e60211991b0fec5443292fc7c21325dc0f92a41bdcb666a1","observation_id":"4cf2d10b-e08e-4528-b13a-710cf04c6969","resolution":{"observed_at":"2026-07-31T17:22:50.266836Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.07796","snapshot_observed_at":"2026-08-04T05:19:07.105686Z","title":"and Scarlett, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.02538","last_updated":"2026-08-03T17:28:12Z","snapshot_observed_at":"2026-08-09T15:21:58.103219Z","submitted_at":"2026-08-03T17:28:12Z","title":"Interaction Is Not Necessary for Order-Optimal 1-Bit Mean Estimation","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-04T05:19:07.105686Z"},"links":{"cited_paper":"/paper/2604.07796","citing_paper":"/paper/2608.02538"},"observation_digest":"sha256:a66d872cc9bb60c3e4a920d27744a92d394448b1e38348f881e524f4cb95612f","observation_id":"ea603eed-741b-417d-b9e8-b5614df95eb1","resolution":{"observed_at":"2026-08-04T05:19:07.105686Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.07796/citation-record","integrity":"/paper/2604.07796/integrity","json":"/paper/2604.07796/citation-record.json","paper":"/paper/2604.07796"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2204.10373","last_updated":"2022-04-21T19:04:50Z","snapshot_observed_at":"2026-07-06T13:02:38.535183Z","submitted_at":"2022-04-21T19:04:50Z","title":"Distributed Nonparametric Estimation under Communication Constraints","version":1},"cited_work":{"arxiv_id":"2204.10373","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2204.10373","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"F X pL`σq ą0.49. 8For ease of analysis, we assume thatλis an integer multiple ofσ. 19 On the other hand, by the “k-moment","venue":null,"work_id":"29f3b5a7-7687-4f8e-a66d-35a52ce94eb1","year":2023},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"cited_paper":"/paper/2204.10373","citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:35b0ae9a6b5811178468ef53dddc1c3a6c6bc3d8662793aab9f15fd6d1f84c21","observation_id":"a01e1f14-ed20-43ec-9c6d-61efd3b8fd66","resolution":{"observed_at":"2026-05-25T06:50:28.514810Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"IsX i,j ěa i?","venue":null,"work_id":"afe37422-df25-46c5-81fc-93abe953e6b9","year":null},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:da054709bee0e749d0dd7e2f0c7a462ebe3e74ace751b8ca140c8cc639126dc5","observation_id":"c1f8cb74-5dcd-489f-8bf5-d3fdd172874d","resolution":{"observed_at":"2026-05-25T06:50:30.305081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"8c629891-211a-40b3-a78f-4ac59b6e3e90","year":null},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:8f41e269681b13b17c3e0910e4f00ca80e2f416b53919e14d631f812b8b98c4e","observation_id":"74107b21-acd4-4933-a586-d449784315ba","resolution":{"observed_at":"2026-05-25T06:50:30.301494Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"IsX i,j ěT i,j?","venue":null,"work_id":"d93e9ff6-ac6e-4964-8841-96970679e3f6","year":null},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:889eabce24d12853d46f0731312b1ff62d50b8912592fb4f54d0d5199ed256e4","observation_id":"85c2086a-fe46-4cdb-a684-74bc25ebd529","resolution":{"observed_at":"2026-05-25T06:50:30.293137Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"IsX i,j ďb i?","venue":null,"work_id":"7fbf4be8-ee2c-42b0-b5a1-26ea950f8c2a","year":2020},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:8774136c7dcade69586851c2ea675949569ba1c4626cfbeed330223e0169474d","observation_id":"800206df-fe80-45fc-8e56-384f2e628f87","resolution":{"observed_at":"2026-05-25T06:50:30.297394Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"“IsXP rα t, βts?","venue":null,"work_id":"3b607d42-6f56-40f7-be23-5e1ad9af894b","year":null},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:f729aa7610405889ec6433ceb0abf0627c545a7c39d13fa0eb7e757de1540f80","observation_id":"2475ef20-e43e-41c8-8c89-25f8d0f2e7c3","resolution":{"observed_at":"2026-05-25T06:50:30.289370Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"1 ĎDpλ, σqconstructed in the proof of Theorem 9, whereN“λ{σ´1. We will again establish a lower bound for this “hard subset","venue":null,"work_id":"f8dce041-2235-46cd-abae-aca16bd00165","year":2020},"citing_paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-25T06:46:55.673388Z"},"links":{"citing_paper":"/paper/2604.07796"},"observation_digest":"sha256:3e939c5438afb78b5bbedd45e8575641c6b8570d43214409020cbbb50a52f30d","observation_id":"34821ef1-8f4c-458a-86b4-ba0058f8e71a","resolution":{"observed_at":"2026-05-25T06:50:30.285458Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.07796","last_updated":"2026-05-22T05:47:06Z","latest_version":2,"primary_category":"stat.ML","snapshot_observed_at":"2026-08-02T14:05:57.955418Z","submitted_at":"2026-04-09T04:49:21Z","title":"Order-Optimal Sequential 1-Bit Mean Estimation in General Tail Regimes"},"reference_resolution":{"displayed":7,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":1,"verified_fuzzy":5},"total_outbound_references":7},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 3 inbound Pith citation observations for arXiv:2604.07796."}