{"as_of":"2026-08-14T13:24:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ee138766f5254a2f8aee35de44792f1a0b6823e751bca848b8d25d73dab03f15","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T12:23:42.724271Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"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":[],"links":{"evidence":"/evidence","html":"/paper/2608.11003/citation-record","integrity":"/paper/2608.11003/integrity","json":"/paper/2608.11003/citation-record.json","paper":"/paper/2608.11003"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"physics/0004057","last_updated":"2000-04-24T15:22:30Z","snapshot_observed_at":"2026-08-12T16:03:20.142135Z","submitted_at":"2000-04-24T15:22:30Z","title":"The information bottleneck method","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"physics/0004057","snapshot_observed_at":"2026-08-12T12:23:42.560698Z","title":"The information bottleneck method,","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.560698Z"},"links":{"cited_paper":"/paper/physics/0004057","citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:c2c55e6f5bedd5a2a4156cb413010322045b1758ade40eb0414497e3712b0a4e","observation_id":"42fa095c-9761-42cc-b9f2-a4b0772d76ff","resolution":{"observed_at":"2026-08-12T12:23:42.560698Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.429248Z","title":"The information bottleneck revisited or how to choose a good distortion measure,","venue":null,"work_id":"e3fd72c3-ec30-40d1-8f48-8be6749e7a93","year":2007},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.565816Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:b0e33ccf947b46db65ce64054daf4ef929efede997677c33d15de84548f1a117","observation_id":"e47cfdf8-cc8a-4d92-a6ff-a2f67d209b53","resolution":{"observed_at":"2026-08-12T12:23:43.435438Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.414631Z","title":"Bottleneck problems: An information and estimation-theoretic view,","venue":null,"work_id":"e3f1c36a-0230-4f0d-ba4b-db70709980fa","year":2020},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.569824Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:e526e92786f77427f0175bb17542994e51dbe4236a0f1f8b001d124adf187549","observation_id":"17e99a67-103b-4862-ad85-217c53a2d40f","resolution":{"observed_at":"2026-08-12T12:23:43.419497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.400331Z","title":"Privacy against statistical inference,","venue":null,"work_id":"d6b0daa3-c78d-4e40-9a65-cd1bffb7c462","year":2012},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.574143Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:fbac84f9e86af19eff0bf6536833c03cd128856234a6df3297b8f3f379ff83e8","observation_id":"d840b254-d657-44c3-b031-088d8225ded3","resolution":{"observed_at":"2026-08-12T12:23:43.405452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.388312Z","title":"Utility-privacy tradeoffs in databases: An information-theoretic approach,","venue":null,"work_id":"08b705e7-0cd9-473c-ae2e-bb694959d55f","year":2013},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.578928Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:133454ffe6b4a6fd16e638e8979899c0aa5bd4d1e64e77e8720e8e1810241d52","observation_id":"ba12046b-6175-461e-b7d6-44dd5a2235f7","resolution":{"observed_at":"2026-08-12T12:23:43.392246Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.375644Z","title":"Information extraction under privacy constraints,","venue":null,"work_id":"6b07cb8a-72e4-4d9d-ba99-13e9e485eef5","year":2016},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.583038Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:dfe98d4d5a72faef7e09bb22dbb2d0fe4e46c29bcd280e97f55c54f9947e3ce0","observation_id":"db361c9e-0771-4473-a20e-90273383eeaa","resolution":{"observed_at":"2026-08-12T12:23:43.379832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.587696Z","title":"From the information bottleneck to the privacy funnel,","venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.587696Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:d73fef2ea02e97a6cf757052fc5965f1e81e735176a1e91583a73e7fdc788b9f","observation_id":"5add173d-ac88-49ec-9fed-ac4e4b894610","resolution":{"observed_at":"2026-08-12T12:23:42.587696Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.357074Z","title":"Fundamental limits of perfect privacy,","venue":null,"work_id":"9f914929-6f12-4fa8-88e2-b2a4120535dd","year":2015},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.592028Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:f2fcd1f3da7119ee7a68dfc5128bdf937e41c0c1c953d83cc378fa855df03794","observation_id":"4a89c944-ef1b-4dfb-b111-fb6e9bff7f57","resolution":{"observed_at":"2026-08-12T12:23:43.360597Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.339474Z","title":"On perfect privacy,","venue":null,"work_id":"c9681f83-9a0e-4c60-9d3f-50864f1dd486","year":2021},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.596704Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:2d9781c84791a0ee7362925522e553ccefe772c3fc32e3b8aefa6aff4923cf5d","observation_id":"ca55fc69-821c-4703-afe1-031f4e6cd1bf","resolution":{"observed_at":"2026-08-12T12:23:43.343494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.327123Z","title":"Bottle- necks club: Unifying information-theoretic trade-offs among complexity, leakage, and utility,","venue":null,"work_id":"cefc9142-d469-43f0-8bb3-d871484ef084","year":2023},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.603149Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:5ec74c681e825f832ea8930f77b8261e1520333ce4892761bf8dbf6c23dcfb2b","observation_id":"fe86f830-dd00-4422-87f6-ecbee82e5858","resolution":{"observed_at":"2026-08-12T12:23:43.331315Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.308842Z","title":"Optimal privacy-utility trade-off under a rate constraint,","venue":null,"work_id":"8b0be298-2fdc-44d9-bd82-57646c27b9a0","year":2019},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.607550Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:425954876a82883b65ded2d74275aa92b840ba9cfebbdbe2a0ec3705e23e122c","observation_id":"b2891a07-9805-4c2f-93db-325fe2aa64e0","resolution":{"observed_at":"2026-08-12T12:23:43.316696Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.291181Z","title":"On the privacy-utility trade-off with and without direct access to the private data,","venue":null,"work_id":"f1533362-81c1-4ea8-88cc-3ced1944379c","year":2024},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.611368Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:6d93f9b46a00d343cd4b9698bd1251dba5319e847993eacc18ca2f0afdd4915d","observation_id":"af477dd9-4483-4a5a-b62b-233da23e0c8f","resolution":{"observed_at":"2026-08-12T12:23:43.296045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.277244Z","title":"On information theoretic fairness: From perfect to bounded demographic parity,","venue":null,"work_id":"08203e52-a0f1-4373-8a3f-bd9b15db8ae5","year":2026},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.614972Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:a007de5670129613669797508f89683500ff77d65d8526f17f72515c32e2adf6","observation_id":"092e7917-9059-4c1e-9c32-5a384bd01a56","resolution":{"observed_at":"2026-08-12T12:23:43.282053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.619050Z","title":"A dual algorithm for the solution of nonlinear variational problems via finite element approximation,","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.619050Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:c91858f86594f572e1d17d6f54b130021ea66d28c548a1c487403710f76673b5","observation_id":"2ffb3f3c-63d4-4807-af3a-3e6b7abce738","resolution":{"observed_at":"2026-08-12T12:23:42.619050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.263791Z","title":"Sur l’approximation, par ´el´ements finis d’ordre un, et la r ´esolution, par p ´enalisation-dualit´e d’une classe de probl`emes de dirichlet non lin´eaires,","venue":null,"work_id":"5ca73fc7-67d6-4543-a41e-2a089438d24d","year":1975},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.622686Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:6a623c79e834b864bd7985b0828684ec8b8b785ffbc29285b40f36fd1a819f60","observation_id":"fdbaf562-c9ed-4b97-96ad-bf13380fe254","resolution":{"observed_at":"2026-08-12T12:23:43.268449Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.252583Z","title":"Convergence analysis of alternating direction method of multipliers for a family of nonconvex problems,","venue":null,"work_id":"5b7eac48-d94d-45bf-845f-9b8ffd69c8fe","year":null},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.626540Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:589d930c7294d26591548b26505d30096a14f9e20c3016f1e29b582c36e79c83","observation_id":"e9003d17-774e-454d-a863-ba55b270b196","resolution":{"observed_at":"2026-08-12T12:23:43.256738Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.634316Z","title":"Global convergence of admm in nonconvex nonsmooth optimization,","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.634316Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:3f76889fed56880ca112130387befc699d9e78ed1cf804d54197d65161da8391","observation_id":"e4cbcd7b-e044-42b6-8800-b7b8c11a1bf4","resolution":{"observed_at":"2026-08-12T12:23:42.634316Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.240148Z","title":"Information bottleneck problem revisited,","venue":null,"work_id":"b6432eae-486e-4cf1-a10c-f9f4349bfaac","year":2019},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.637935Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:c86bb1e3c4d30342601822d8c6e1535e2d387c3a2cbdf46a0cd9f67aedbddde0","observation_id":"3757e279-b7f6-4555-997d-c1882544cb93","resolution":{"observed_at":"2026-08-12T12:23:43.244413Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.224622Z","title":"A provably convergent information bottleneck solution via admm,","venue":null,"work_id":"98122dcc-7e0b-4171-bb25-3595dbdf0a43","year":2021},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.641667Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:513e88d3acf3aa1bbce202d4c53d354496dcc0b8b862143cebf2e085a9d84042","observation_id":"bd35d298-3f53-4edc-ae72-0f3fbaaa75e2","resolution":{"observed_at":"2026-08-12T12:23:43.229139Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.211069Z","title":"A linearly convergent douglas-rachford splitting solver for markovian information-theoretic optimization problems,","venue":null,"work_id":"d4a2fc1d-26bb-4279-9f82-43a647cbc5bb","year":2023},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.645349Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:ebff9da45eab52e8bb6da71018da8b72e8d43dc3596a9efeb77103b9f7566958","observation_id":"86ee0f62-e3f2-4deb-8ad7-1e9c47b4c361","resolution":{"observed_at":"2026-08-12T12:23:43.215560Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/090770102","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.817108Z","title":"Multiuser optimization: Distributed algorithms and error analysis,","venue":null,"work_id":"87a1fd77-3238-462c-b4ee-06a30bc3d6bb","year":2011},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.649183Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:263bb0135499beffa17ebc19d89aea83128065547dbc28e926c609d7dce3a7aa","observation_id":"3c4a574f-7600-4325-8309-da92b9f0626c","resolution":{"observed_at":"2026-08-12T12:23:42.821614Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10107-019-01365-4","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.804594Z","title":"Perturbed proximal primal–dual algorithm for nonconvex nonsmooth optimization,","venue":null,"work_id":"ce14f33d-0b8a-44f0-a5a3-7f97b42848e5","year":2019},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.653931Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:0cb8ec91316234557a5f67ca8ff420392869af2e4b8ce43dd479abc5b26c6696","observation_id":"14060b2d-efe7-49d3-921c-50e4f5399df9","resolution":{"observed_at":"2026-08-12T12:23:42.809340Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.197953Z","title":"Online proximal-admm for time-varying constrained convex optimization,","venue":null,"work_id":"2a59d3fb-6d00-426d-b782-393711d77c84","year":2021},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.659099Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:7246dc12a84e2982bb1ab0175595aa46e5deb3cca2a04d95295a949c62879c5d","observation_id":"07430bd9-cc41-44e1-82fb-e6c279a1fd4f","resolution":{"observed_at":"2026-08-12T12:23:43.202430Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.185682Z","title":"Proximal admm for nonconvex and nonsmooth optimization,","venue":null,"work_id":"c16aa14f-a1c5-46c9-b866-9f78338e6f70","year":2022},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.664215Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:5c5c15eb2963de02d2237c64d28b35b664592284a6f512ab28427a11a1fda131","observation_id":"4df435d2-0180-4c6a-bdd8-30efcb43e5e3","resolution":{"observed_at":"2026-08-12T12:23:43.189669Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.172705Z","title":"Perturbed proximal gradient admm for nonconvex composite optimization,","venue":null,"work_id":"56dffd7b-ca0c-4c5d-9812-b323d4426c6f","year":2026},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.669692Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:c9d2b6d647d32e5eb26edead67bcba7cf9a0b5e1d815916b56a4481311b937e4","observation_id":"4ca2b600-de04-4b25-b079-4b0a68877dc1","resolution":{"observed_at":"2026-08-12T12:23:43.177152Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.674742Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.674742Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:031694be437d227351b06b33a1c1f3e89cd06eba3b4a188a699d4423b55116ba","observation_id":"4235af91-06b5-4506-a58b-ab9919f72289","resolution":{"observed_at":"2026-08-12T12:23:42.674742Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.679247Z","title":"Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward–backward splitting, and regularized gauss–seidel methods,","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.679247Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:ca5c4c19690476db49d82e2272ca49c02c39e6d66ff55cf8b867130224ccb95e","observation_id":"ea88245a-6e0b-446f-bd54-b4edc8f41a59","resolution":{"observed_at":"2026-08-12T12:23:42.679247Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.151093Z","title":"Learnability for the information bottleneck,","venue":null,"work_id":"b5a59de7-5800-471d-ad3e-6bfc572b2158","year":null},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.685213Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:7657311f471b750609302b7f4c03bbbafae1fee4c264a13cf75c209bd2b0d254","observation_id":"9c9fde17-11da-49f0-b7d6-eb0e4d695956","resolution":{"observed_at":"2026-08-12T12:23:43.155042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10957-014-0642-3","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.781296Z","title":"Splitting methods with variable metric for kurdyka–łojasiewicz functions and general convergence rates,","venue":null,"work_id":"765578b9-8cae-4deb-a08a-57be4f0d9986","year":2015},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.692157Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:3441c953fc488a3528a0ebf022696fed65d9192de786535bd05df0dda83e405b","observation_id":"9f5196c4-fddc-48b6-ada8-c3c2f6e591c7","resolution":{"observed_at":"2026-08-12T12:23:42.788362Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.695652Z","title":"Efficient projections onto the l1-ball for learning in high dimensions,","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.695652Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:a13162aaf454516bf9a65c0e51fa62f2636f881c038dce5a958c65595a944949","observation_id":"38625e99-3604-4234-851d-04d5e57256e0","resolution":{"observed_at":"2026-08-12T12:23:42.695652Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.699222Z","title":null,"venue":null,"work_id":null,"year":1997},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.699222Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:86165e8adecaff96c2fbbe0d0b356964ea3f92197493e7f5160fb4e1fa2789ba","observation_id":"bb92bbd6-7928-43ff-bfb7-8700ce970e73","resolution":{"observed_at":"2026-08-12T12:23:42.699222Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"stable/2152916","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.921001Z","title":"Model completeness results for expansions of the ordered field of real numbers by restricted pfaffian functions and the exponential function,","venue":null,"work_id":"adfe7bcc-973d-4fdd-bfdb-fe2f8da12d6d","year":1996},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.703410Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:317596b878f910a4c107de81b2c334f6aae9f75f6a76dfb3ab2d3287120e0360","observation_id":"2d8fa59f-0ab1-4280-9bb8-9c9ce45a138a","resolution":{"observed_at":"2026-08-12T12:23:42.928706Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.707436Z","title":"Clarke subgradients of stratifiable functions,","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.707436Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:529dc9a6a25f52dc50457c1d51d81cb7922f93ff6685b2a5fe061f1dec873425","observation_id":"1489b533-41d2-4179-aaf2-f119e08b112f","resolution":{"observed_at":"2026-08-12T12:23:42.707436Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:43.116529Z","title":"Multi-block nonconvex nonsmooth proximal admm: Convergence and rates under kurdyka–łojasiewicz property,","venue":null,"work_id":"b1b1b0ee-4ca5-48c5-bc76-2de90494ce89","year":null},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.712056Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:7c10d9df3a1476cb2321ca82e74c49278857fd822c7dae2c846d08e1047c3e64","observation_id":"8336323a-3558-411a-a0ad-7bc9e21b19a2","resolution":{"observed_at":"2026-08-12T12:23:43.122044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.102745Z","title":null,"venue":null,"work_id":"e33638f5-d005-41ab-9103-f153807a8806","year":1998},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.720376Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:f0bca790c362381f3edd31d402a44f98ec93fc1c816885f81e10ab35913f6364","observation_id":"8d867a97-e6d6-478b-a644-255752de2165","resolution":{"observed_at":"2026-08-12T12:23:43.107830Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.090641Z","title":"Geometric categories and o- minimal structures,","venue":null,"work_id":"9a99fc8e-835e-4962-b154-eb0a47bd0ea4","year":1996},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.724271Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:f83a34f08e996e3fbbece67271d59f2b14f44b404049d2a4f978ec01e762b8bf","observation_id":"f9de01b6-de89-4688-b6dd-6bbce10d740f","resolution":{"observed_at":"2026-08-12T12:23:43.094795Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-12T12:23:43.139218Z","title":"1050–1060","venue":null,"work_id":"aa6f5416-5c6b-4135-9e7d-51b6b02224b2","year":2020},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":115,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.688890Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:73ae3653efadf585658d27f17efee28f536bc8e224d4215d3360c2fecb8d21d6","observation_id":"4d73d305-0811-47d2-be5f-3d0d07acc262","resolution":{"observed_at":"2026-08-12T12:23:43.143411Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.630479Z","title":"Available: https://doi.org/10.1137/140990309","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.630479Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:57ff38f59e133b39f35505a5ebaaf1b1fac09a04164e10310601e91308858b14","observation_id":"5fb3890e-27a1-4dfc-9d70-e02105ebc053","resolution":{"observed_at":"2026-08-12T12:23:42.630479Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/s10957-021-01919-7","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T12:23:42.753282Z","title":"Available: https://doi.org/10.1007/s10957-021-01919-7","venue":null,"work_id":"de8c3c79-4240-438c-ac1b-471e10f166a6","year":null},"citing_paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-12T12:23:42.716603Z"},"links":{"citing_paper":"/paper/2608.11003"},"observation_digest":"sha256:aa0900ce9ae57fda7a377fbd4948fc80113aa394e670eb45179bcbc2dd009781","observation_id":"2b0b5f26-5763-4924-93bf-6f26849ffb5e","resolution":{"observed_at":"2026-08-12T12:23:42.758773Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.11003","last_updated":"2026-08-11T14:50:08Z","latest_version":1,"primary_category":"cs.IT","snapshot_observed_at":"2026-08-14T13:12:45.271869Z","submitted_at":"2026-08-11T14:50:08Z","title":"Information Bottleneck under Perfect Privacy"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":1,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":11,"verified_exact":5,"verified_fuzzy":22},"total_outbound_references":39},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.11003."}