{"as_of":"2026-08-08T07:19:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:b00d654c5c5afecc317313de4991b3602ad0ba4aef3a12623d48414a590c1345","coverage":[{"denominator":72,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":72,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T22:11:29.778687Z","state":"measured"},{"denominator":72,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":72,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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/2506.22792/citation-record","integrity":"/paper/2506.22792/integrity","json":"/paper/2506.22792/citation-record.json","paper":"/paper/2506.22792"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T22:11:43.771112Z","title":"Anker, E","venue":null,"work_id":"4937bdce-4571-44f0-9691-66abaca7e3a0","year":1997},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:23.750018Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:e44e5e23766ef6913b5958f569a5c90740809cd02db737935f745f260eb3bb2e","observation_id":"683fda12-92e4-498e-843f-a8fd34797369","resolution":{"observed_at":"2026-08-06T22:11:43.930088Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:43.439396Z","title":null,"venue":null,"work_id":"49396d29-09e1-4d03-bee2-c93e823e96df","year":1990},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:23.831188Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:716d5f36658edba9d25cab50fb84b28e8b4887ada7570f85d409b8d01a29d71a","observation_id":"cb3b78f2-eb6b-4831-b3c2-c728cb169503","resolution":{"observed_at":"2026-08-06T22:11:43.589282Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:43.151034Z","title":null,"venue":null,"work_id":"0b1c101c-1011-4e40-98ff-e55b6d50d276","year":1992},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:23.903554Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:ef0264541675e85027ac2ca001f43f5369c2b31478671e0d610d00c2e7f05806","observation_id":"0bac084e-7d44-45b0-900a-7c8dd0bc21a9","resolution":{"observed_at":"2026-08-06T22:11:43.262339Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:42.822280Z","title":null,"venue":null,"work_id":"02965e70-9c32-4a34-a750-77c1268d9b84","year":1905},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.009948Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:3aa39da10c22940e03b85d0969430aca0346142a0a880389c7f68c07e2d77fcc","observation_id":"7976cc2a-086d-48e9-a5f9-86c4123af90d","resolution":{"observed_at":"2026-08-06T22:11:42.973674Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:42.505634Z","title":null,"venue":null,"work_id":"f6bf5ac2-61ce-4fd7-9ae6-3e6aae840e64","year":2008},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.114874Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:2f84aeecb4924fc9ea9b034bf9f3fe97e34f9242a2ec9521781cc4a0f17a6da0","observation_id":"5b273344-79a7-4461-b446-d032d9132db2","resolution":{"observed_at":"2026-08-06T22:11:42.645713Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:42.261351Z","title":null,"venue":null,"work_id":"83c71da2-dd9f-4ef0-abbb-25ae53e5c858","year":2012},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.254956Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:156371c5a80a7fff8186a941d519e20969ae5c7c87b3ea45e74811beb79a33ad","observation_id":"186fb797-1c86-443b-8a13-aa8ab8230a71","resolution":{"observed_at":"2026-08-06T22:11:42.378356Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:42.031139Z","title":null,"venue":null,"work_id":"80015f5c-6706-4678-9442-02470967aebf","year":2003},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.393175Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:35e3ace70cadd75c20f70904e62b0a24d3364e88e6e739fb8bad284279e964c0","observation_id":"1639a776-622c-4476-8ff9-cf80e3d62d35","resolution":{"observed_at":"2026-08-06T22:11:42.140807Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:41.721568Z","title":"Benedek and R","venue":null,"work_id":"b2fdc24a-c42a-4154-8333-96280b1e6df7","year":1961},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.494741Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:41b8b3c401339f838beca3842dd1584058e05345a1d83b3beb1d583e9952e4eb","observation_id":"7e604269-4a4b-433c-8336-10df2113f0ea","resolution":{"observed_at":"2026-08-06T22:11:41.922659Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:41.349237Z","title":"Bhowmik and S","venue":null,"work_id":"2d391fc7-021b-4725-9b9d-8bbbfdcb707b","year":2022},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.593259Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:14a52f805f2f394788c90df9795a6759ff403fb48182b365f4192876d577e79b","observation_id":"9c000555-df79-4be5-ade9-137982f4a7cf","resolution":{"observed_at":"2026-08-06T22:11:41.520909Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:41.005422Z","title":"Bhowmik, S","venue":null,"work_id":"8a8333e5-8534-467b-b951-337a4f307fb1","year":2020},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.702777Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:b1b84a4866edcd875a156e3530b49b1bdc65be16d02bae557af55c6006cf3ccb","observation_id":"16e8b3fc-2b7e-4eba-8434-015f4f56ec56","resolution":{"observed_at":"2026-08-06T22:11:41.159645Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:40.700776Z","title":"Bhowmik, S","venue":null,"work_id":"89baafa6-64b9-4f7b-8a62-7856a6c14658","year":2023},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.836655Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:1c3ff3f3da9d1ad9394443e3a4498f90d158671f00c8ac90439f20b10dca65eb","observation_id":"cd4ac372-2be2-48fb-b308-d8663e2c7063","resolution":{"observed_at":"2026-08-06T22:11:40.801062Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:40.619244Z","title":null,"venue":null,"work_id":"4a6aae63-ede1-4123-9f52-3e30efe6e3ba","year":1978},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:24.974910Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:40336021fdf986a3761cf41fac2ee5b7d8268208fbc957050d3f2a60415a0608","observation_id":"7023af3d-dffe-48f2-9eaf-b21850262e34","resolution":{"observed_at":"2026-08-06T22:11:40.689059Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2408.16324","last_updated":"2024-08-29T07:59:18Z","snapshot_observed_at":"2026-07-06T19:07:28.779905Z","submitted_at":"2024-08-29T07:59:18Z","title":"Uncertainty Principles on Harmonic Manifolds of Rank One","version":1},"cited_work":{"arxiv_id":"2408.16324","doi":null,"metadata_source":"pith","pith_arxiv_id":"2408.16324","snapshot_observed_at":"2026-08-06T22:11:30.419894Z","title":"Uncertainty Principles on Harmonic Manifolds of Rank One","venue":"math.DG","work_id":"83f810cd-f01c-40d0-ad00-b38cebf86602","year":2024},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.048738Z"},"links":{"cited_paper":"/paper/2408.16324","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:0dd0480837af20acbfa7ad765574258afdde36ef83ae2e10e79602b55075f49b","observation_id":"9df9c152-75c9-4351-ace0-eedcaba8d68d","resolution":{"observed_at":"2026-08-06T22:11:30.504961Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:40.443358Z","title":"Ciatti, M","venue":null,"work_id":"5dfe4b3c-e680-4f58-a91e-3d8686fc5869","year":2015},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.149878Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:f57c5a2c266c22b79187abe0eb5f23b751ed2a6ced6b031b95112c1ca4803bd9","observation_id":"9a5662dc-210b-4b6b-9826-7d9e0cc9f649","resolution":{"observed_at":"2026-08-06T22:11:40.538871Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:40.236112Z","title":"Cowling, S","venue":null,"work_id":"c4fa1256-495a-4351-bfa2-1efa04e20cc3","year":1993},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.217739Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:6264d8d1775309a5d142a5179a21d6dcf34a6166f940dd72dc1c4f996769aab5","observation_id":"7315934c-49bb-4417-997e-4a55fe6b04bb","resolution":{"observed_at":"2026-08-06T22:11:40.327949Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:40.030814Z","title":null,"venue":null,"work_id":"3c420617-522e-4c83-aa5d-3c3dc304bb2f","year":1984},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.300567Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:3404ec94c34feb23e0095af202072876f09ee68f5518bb530c2a636eab55495c","observation_id":"8c805091-52d7-4762-8eb4-b82f948edec8","resolution":{"observed_at":"2026-08-06T22:11:40.122239Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.882887Z","title":"Ciatti, F","venue":null,"work_id":"f59ef537-ba4a-4b08-b964-fe4f8e23d348","year":2005},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.349958Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:e60bc5b8148a12ef71d19d93e53723971c719d078d40907324b739102b6220e3","observation_id":"23f77524-eb9e-4a67-b41a-0637e0220243","resolution":{"observed_at":"2026-08-06T22:11:39.960331Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.785119Z","title":"Ciatti, F","venue":null,"work_id":"bc2ef75b-7b7d-4389-8e3c-6f1826dce5b7","year":2007},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.409367Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:661c8c732cb162b961b82096d44da8e07e60bab5e0dbf9f238a38c98fe854cd7","observation_id":"ecd45f3d-a5e0-4a0f-9765-ba20d866016b","resolution":{"observed_at":"2026-08-06T22:11:39.830454Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.672115Z","title":"De Carli","venue":null,"work_id":"6721e470-429c-47ad-95c3-e646875b085e","year":2008},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.466197Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:beffaed4d5a9b1a6ccb4a57216a538c85a06d18006dbc156e924dc9be3290013","observation_id":"f1127ec7-3137-4567-a557-64cc6425684b","resolution":{"observed_at":"2026-08-06T22:11:39.718845Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.500609Z","title":"De Carli, D","venue":null,"work_id":"4b531532-3ce6-4b34-b68e-6f84882e1ef5","year":2017},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.534904Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:5974d5509e05be9febb23bbf0e5da6a7b24253043fdb1501f68d696ea8b0e0ac","observation_id":"3c14bee5-aa10-483c-971b-b3d5fe4f411a","resolution":{"observed_at":"2026-08-06T22:11:39.592489Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.342712Z","title":"Debernardi","venue":null,"work_id":"6f21580f-f1bd-41fd-a98d-b99407fb75c5","year":2020},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.597320Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:b142f1b89428bc96343ae3a1f37d3cfe5fa184a44e987875eaa9063115a56b1f","observation_id":"b4099bd2-5d0f-40ea-a386-42d517cc5136","resolution":{"observed_at":"2026-08-06T22:11:39.425958Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:39.158611Z","title":null,"venue":null,"work_id":"ac99b656-e359-4d2a-8db7-5707463dd2d0","year":2025},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.667964Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:18040306b49b5653dcde569bd7c7c2f316af33a6a8885a4cbe6df707b43eed71","observation_id":"204db9d1-d90b-44ce-aa46-e6653e518ab6","resolution":{"observed_at":"2026-08-06T22:11:39.244130Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.978243Z","title":null,"venue":null,"work_id":"a8b32ec0-411c-4819-9379-1b7c5943bba8","year":2015},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.751469Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:ada8389cf227a5538d13ff781f1e1c389a1233767ff38d01f0a2c013d471b9a2","observation_id":"60413c16-effe-4f54-b321-4f49348c590a","resolution":{"observed_at":"2026-08-06T22:11:39.054894Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.790697Z","title":"Flensted-Jensen and T","venue":null,"work_id":"250e9b86-4186-496f-8343-1649b90becf5","year":1973},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.823339Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:0dfa0208631c8c12ba82cb998b3d54633146e0abbdf99853f936df123c3fb703","observation_id":"b35082b5-728a-4dc5-b6ec-7935d8a3aff7","resolution":{"observed_at":"2026-08-06T22:11:38.873800Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.613520Z","title":null,"venue":null,"work_id":"722ec749-525b-4659-ac15-445bf8a464c3","year":1997},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:25.920625Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:e3ce5fbd38299f951f92975263859f9d0fa22500eddd1bc4867eea1d2c08535a","observation_id":"073b4263-5d16-4d89-b081-2e1b5b396126","resolution":{"observed_at":"2026-08-06T22:11:38.691628Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.501831Z","title":"Fu and J","venue":null,"work_id":"5bdacb95-5343-48f7-9e0d-cecdf7216762","year":2023},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.000576Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:d8bbc23d98480e0f97a2f131a1da20adf4bed75cdaa8083cb5fa1704a9204bf4","observation_id":"86e8b3a0-5bf2-4abe-8320-b7658f6b1a11","resolution":{"observed_at":"2026-08-06T22:11:38.545469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.333650Z","title":null,"venue":null,"work_id":"1c9bd9d6-685d-4ab5-9685-16a4b0b98bfe","year":2016},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.071555Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:0407aa0fd6f4d34bf9b64b1f3afaea906972e7746fa16669c70342423229272f","observation_id":"0c9a5d1b-a4bf-4020-9027-3b79a636fd91","resolution":{"observed_at":"2026-08-06T22:11:38.410979Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.193258Z","title":"Gorbachev, E","venue":null,"work_id":"898e9e83-01b0-4ef7-a51e-ea63f274c1e0","year":1949},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.161060Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:eecf4ac36dd8ac15be73a803f46f0c00e9e901279adc63c2ed493e17b5cb31db","observation_id":"e2ece111-ae37-4bec-aaf2-46d60258cb6a","resolution":{"observed_at":"2026-08-06T22:11:38.250051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:38.032115Z","title":"Ganguly, R","venue":null,"work_id":"d605907f-1dfc-4f7b-a69b-7c3b130f8f16","year":2022},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.253806Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:3d31165f5a27c1e7a7b9ef537f387d2b6fc29cea39ab287f8ff86df8bc12fb5d","observation_id":"2b89d179-9c96-48b6-a1e8-61e236c6631c","resolution":{"observed_at":"2026-08-06T22:11:38.101305Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:37.873430Z","title":"Ganguly and J","venue":null,"work_id":"fa16d505-f487-478a-9ddb-d49362759504","year":2025},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.335349Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:5bb2d40948b263dfe23caa1c2cfa301a85097225748fe6f80f89bc7c5af6c5b4","observation_id":"4c110bb4-c6e8-4831-8bd9-0c93911da05a","resolution":{"observed_at":"2026-08-06T22:11:37.951386Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:37.706737Z","title":"Ganguly and S","venue":null,"work_id":"1dd7f538-e759-4236-a0cd-4916120c7f96","year":2022},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.377899Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:007e18b31e361d18d1559ec736ebfea352b6eaf2d2912d57a11fdf8c8d4022fb","observation_id":"648937aa-7cbe-4ad9-b421-3bac349180ec","resolution":{"observed_at":"2026-08-06T22:11:37.791228Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:37.478057Z","title":"Gangolli and V","venue":null,"work_id":"ccaf1c40-330b-48d7-aaeb-2c475e391c97","year":1988},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.465750Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:60ab0dc3d1e1533381395f17bc96e03b22581e40cf858a5468901844588114f9","observation_id":"d81a50d1-2ed8-4e3e-a4e8-929f0cef6b14","resolution":{"observed_at":"2026-08-06T22:11:37.595282Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:37.277117Z","title":"Spherical functions on a semisimple L ie group","venue":null,"work_id":"a3ea57c7-28b4-4d29-9b5b-c5a7ce4a29e3","year":1958},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.556883Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:da72841c2c70e747757b1745f8fac2cdfc079e3109bd41da40aaac8167e30af5","observation_id":"bc464bb4-9b08-400d-80e6-f431e8b2223b","resolution":{"observed_at":"2026-08-06T22:11:37.372408Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:37.057770Z","title":"Heisenberg","venue":null,"work_id":"39ccc3ea-bd9f-465e-a70a-c056cd757115","year":1927},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.641144Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:f26c66796a7e728adbd789ea50886c5f45ca2aa8939ebc81f2de28728060c18a","observation_id":"fbae3980-5455-4a9c-aa31-51612b4ac767","resolution":{"observed_at":"2026-08-06T22:11:37.153076Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:36.848577Z","title":null,"venue":null,"work_id":"ef61d12c-ce4c-406d-8c6d-bb69ceacf716","year":1984},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.729723Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:59dc6ace56d46095a2480215d285eeda17798111b2ef7b408ded7997f0923293","observation_id":"76d8d9e1-ccc5-4557-b178-0d8d138a594d","resolution":{"observed_at":"2026-08-06T22:11:36.978185Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:36.545926Z","title":"Helgason","venue":null,"work_id":"2134ad0b-56d1-4cb9-8d67-bed38f0eb265","year":2000},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.814937Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:a8fdd6ac07305c155babc841f48bca9860e0ad7b0abebf98e6a91dc327bae631","observation_id":"eb3ae881-7b89-4d9b-a577-8576e6e3435e","resolution":{"observed_at":"2026-08-06T22:11:36.708231Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:36.306892Z","title":"Helgason","venue":null,"work_id":"194c9aba-7a60-4cfb-b52d-814c479dcbef","year":2008},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":37,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.899701Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:a33a0b0ad5b79ea5266377a855598ef3f841dbcc745470a20691154c66a16d0f","observation_id":"b0a34435-870a-484b-bccf-e70d68df907d","resolution":{"observed_at":"2026-08-06T22:11:36.426321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:36.020404Z","title":"H \\\" o rmander","venue":null,"work_id":"d9a07ec1-2d8b-4e2c-8fa9-44a0471b0d59","year":1960},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":38,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:26.977063Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:b55fa0a1dc0ffce9119eb80ebb3f28829fc814fd077ec169289996fbc5150835","observation_id":"6790652d-a68e-4ae7-aac6-60f12c3aa8ec","resolution":{"observed_at":"2026-08-06T22:11:36.169931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:35.760376Z","title":null,"venue":null,"work_id":"f766ad7e-a77c-4411-a321-308e3ab1bcb6","year":2002},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":39,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.019558Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:2041d5e1a7f2d7a42e40ef743bd4e46e7b65424bf31a2c138a1e94c0abc0277d","observation_id":"1e45c1b0-b078-4d8a-92ab-a1993e319fde","resolution":{"observed_at":"2026-08-06T22:11:35.885255Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:35.524439Z","title":null,"venue":null,"work_id":"8964b064-0289-4df5-bd1c-126fb8ced6f3","year":2003},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":40,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.069099Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:0b63159d358522006a1a8f57576f8da40793090d5b1adfa9e796e26afc96cb8d","observation_id":"650709d8-1271-422a-bcba-1bb816b622e5","resolution":{"observed_at":"2026-08-06T22:11:35.607995Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:35.259479Z","title":null,"venue":null,"work_id":"cfda6e79-1147-4dae-8735-b30cf5957fd3","year":2016},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":41,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.149856Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:cffeb40cd07a166aac2c646a01521e879d9294319b86f485ca1aeed3e36dbe3e","observation_id":"006505be-9125-4da1-9a2c-f3a1c26a2752","resolution":{"observed_at":"2026-08-06T22:11:35.413593Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:34.941206Z","title":null,"venue":null,"work_id":"5d9d0ef4-cc7d-40d2-80a3-4cc29137d2bf","year":1984},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.241703Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:738490492823a6f9bacee47c27a463d7eb411d08a64b08978397a2de78e576a6","observation_id":"babc4412-faea-4496-abbe-5e51c980548c","resolution":{"observed_at":"2026-08-06T22:11:35.092753Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:34.628705Z","title":"Jodeit, Jr","venue":null,"work_id":"6ee47883-b6fd-49cb-87e9-f5764d632a58","year":1970},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":43,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.364371Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:82b4b593114731678331e3abaf45842e7b6125063586c0cd341288691ee31571","observation_id":"d0c24958-6b98-46be-ae89-6f8a7389dcee","resolution":{"observed_at":"2026-08-06T22:11:34.772548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:34.335907Z","title":null,"venue":null,"work_id":"3231a146-9176-4058-b81b-4458221c3611","year":1927},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":44,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.421845Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:41e4938277297ce755d77faa6bbe4456c7708c3cc8f8d6c49be88a2c42106215","observation_id":"7477df87-1ffd-4016-bf89-a1dc14eee37d","resolution":{"observed_at":"2026-08-06T22:11:34.455987Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:34.187716Z","title":"Kassymov, V","venue":null,"work_id":"f9dbd61f-ce38-42b7-a742-814c98608f08","year":2024},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":45,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.474902Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:935ae52cbfe4b7795f2cb617489cbac62ce2ec72eca593e8e9393c07801da0bf","observation_id":"fe7442ca-8df9-499c-bd97-2f5d6afb0bd0","resolution":{"observed_at":"2026-08-06T22:11:34.253742Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:34.041293Z","title":"Kolmogoroff","venue":null,"work_id":"d7411dc9-469a-4598-b533-e0b3abf610f3","year":1939},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":46,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.587898Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:68b8122a6714f57dc9ba986812e7045988ab09579fb3353576b851c655cc7532","observation_id":"f36fc2de-0b51-4912-8d91-c463907be71b","resolution":{"observed_at":"2026-08-06T22:11:34.096304Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.901818Z","title":"Koornwinder","venue":null,"work_id":"de42fde4-786d-4ef3-b161-2f2967bab33c","year":1975},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":47,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.685866Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:dae3d3cd96b2e14ca5ea20033870bc598016d52df724973f8f303db8f8c2fa62","observation_id":"866ccd0d-882e-4f50-a069-e84ff0bf154f","resolution":{"observed_at":"2026-08-06T22:11:33.960425Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.780531Z","title":null,"venue":null,"work_id":"6537fd88-16b3-4685-9209-3121c00f40a1","year":1984},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":48,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.785272Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:64a4e81e546cd837be6790b14f4b79f4750b703217cfe68565df4bfc7ae95aff","observation_id":"1036ec1e-3a95-4e1b-afb0-e9a0b8353f8e","resolution":{"observed_at":"2026-08-06T22:11:33.838046Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2406.06268","last_updated":"2024-06-10T13:51:24Z","snapshot_observed_at":"2026-07-06T18:28:07.721412Z","submitted_at":"2024-06-10T13:51:24Z","title":"Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type","version":1},"cited_work":{"arxiv_id":"2406.06268","doi":null,"metadata_source":"pith","pith_arxiv_id":"2406.06268","snapshot_observed_at":"2026-08-06T22:11:30.275816Z","title":"Weighted Fourier inequalities and application of restriction theorems on rank one Riemannian symmetric spaces of noncompact type","venue":"math.CA","work_id":"22bf4e7f-be04-46c0-a58a-7bc15d45575c","year":2024},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":49,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.855973Z"},"links":{"cited_paper":"/paper/2406.06268","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:5a143d8d04d4bf10feb21e81b4c9fd0eb9bba5f92c2e7f7472695a0d2f1ef6a0","observation_id":"b0d6cb37-3052-439b-a0b8-bf278925540c","resolution":{"observed_at":"2026-08-06T22:11:30.332658Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2310.19412","last_updated":"2023-10-31T10:32:53Z","snapshot_observed_at":"2026-07-06T16:40:24.456170Z","submitted_at":"2023-10-30T10:23:16Z","title":"Stein-Weiss inequality on non-compact symmetric spaces","version":2},"cited_work":{"arxiv_id":"2310.19412","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.19412","snapshot_observed_at":"2026-08-06T22:11:30.106828Z","title":"Stein-Weiss inequality on non-compact symmetric spaces","venue":"math.AP","work_id":"d2c40536-d122-4ec0-9cf8-7732cf2c07e2","year":2023},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":50,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:27.963318Z"},"links":{"cited_paper":"/paper/2310.19412","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:7a141d0f10f8518f3d14ff701856ab5a7b208086c2d0e6ed9cd0aed515f2673d","observation_id":"b9e675dd-8793-4c00-b73f-6afd47bffac1","resolution":{"observed_at":"2026-08-06T22:11:30.170781Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.665971Z","title":"Liflyand and S","venue":null,"work_id":"7da8b9fb-f0e4-45a6-b081-c1e6085189f4","year":2012},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":51,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.058930Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:8e1c5907c39d1e91fd5ffad2e5c04c656fda5da8fbcf012b5c292fd60749a0cf","observation_id":"1ca887f5-02d5-4569-a75a-3914af54fb59","resolution":{"observed_at":"2026-08-06T22:11:33.721625Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.517755Z","title":null,"venue":null,"work_id":"17d07695-dc26-4262-9edd-163c9ec9727f","year":2010},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":52,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.146437Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:6b1a10bed7ac481f5daa52261763170292596e289dc93f2956682bf67492da12","observation_id":"6245a410-e8ed-462b-b373-875d56f7c971","resolution":{"observed_at":"2026-08-06T22:11:33.591446Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.396930Z","title":"Muckenhoupt","venue":null,"work_id":"1aaead38-dbab-42fe-9059-cdb0742ba88b","year":1983},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":53,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.190735Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:905e6081be3773f016b0dd0d992b3bb1171ff762cd770f86faea3c34a8777e2c","observation_id":"fd335c8d-71e0-4632-94d5-c84fe3bfa44e","resolution":{"observed_at":"2026-08-06T22:11:33.456817Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.263825Z","title":null,"venue":null,"work_id":"ffc54f5a-46a7-4175-b428-1722f992cc23","year":1937},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":54,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.268231Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:c9752991c6bab77a7d490c4ff1db5f7cc90097bf7ae29c406bc81258a39a240f","observation_id":"e995db45-5ee9-48b2-bb4f-5ef0e6d0da73","resolution":{"observed_at":"2026-08-06T22:11:33.301047Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:33.114484Z","title":"Pasquale and M","venue":null,"work_id":"ba80df91-89a2-4372-90ba-a04c09657156","year":2012},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":55,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.358858Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:194645d92d1195a689c3ff5c7ca673e4b173a22ff0be16caeb4614fce4ffaf53","observation_id":"9fa53fd6-ebea-4864-b228-c1fd3c17a289","resolution":{"observed_at":"2026-08-06T22:11:33.170814Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2409.17969","last_updated":"2024-11-06T14:20:28Z","snapshot_observed_at":"2026-07-06T19:22:50.028253Z","submitted_at":"2024-09-26T15:45:24Z","title":"$L^p$-$L^q$ Fourier multipliers and Hausdorff-Young-Paley inequalities on Riemannian symmetric spaces of noncompact type","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2409.17969","snapshot_observed_at":"2026-08-06T22:11:28.457779Z","title":"Rana and M","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":56,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.457779Z"},"links":{"cited_paper":"/paper/2409.17969","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:376d1bdb3694b27608ef0a8637b38162c444c8eaa2b771f86186e2fd487b898c","observation_id":"018ef159-226d-4efa-8a1f-182f03fd3202","resolution":{"observed_at":"2026-08-06T22:11:28.457779Z","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":"2026-08-06T22:11:32.952081Z","title":null,"venue":null,"work_id":"3d4801ae-7b8a-48a4-be6f-7d9bdf4bd68f","year":2009},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":57,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.516596Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:fa794c5539179652fb95d33c287beee7b9c06e5545b7a0d94459dcf6601772d0","observation_id":"10a9767b-50ce-4836-9f94-7e13bd5776a4","resolution":{"observed_at":"2026-08-06T22:11:33.028652Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:32.770790Z","title":"Ruzhansky and D","venue":null,"work_id":"361e0e48-8c6c-4927-bee2-5fabaa488c7a","year":2017},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":58,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.606826Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:6782137166ae854cbc63373609f59c3a9833cef14db4666b927cb864e0a93920","observation_id":"acebd1d1-fb00-442d-a510-989e4400ab66","resolution":{"observed_at":"2026-08-06T22:11:32.829001Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:32.608237Z","title":"Ruzhansky and D","venue":null,"work_id":"f81f4f36-ca80-4bc1-9f37-cede97096436","year":2017},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":59,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.722047Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:7137da87cf8756f536b547cfacf17bfeb5d1d01c9d380c8705046de8a95dbaec","observation_id":"43effcb0-9c6f-4f09-b06f-002dc68ccb84","resolution":{"observed_at":"2026-08-06T22:11:32.670802Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:32.463441Z","title":"Ruzhansky and D","venue":null,"work_id":"5d2ca1d3-be32-49f9-956d-527276bb8e26","year":2019},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":60,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.836248Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:3b6888817a8609c67833ccf68c97196809e6bdc3f560bf3680cd3ae5bb6524cd","observation_id":"182bf010-aa7c-4ec6-94db-f38c38166ab0","resolution":{"observed_at":"2026-08-06T22:11:32.526279Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:32.294209Z","title":null,"venue":null,"work_id":"962e9b72-030b-4b2f-a36b-37cd182d971b","year":1979},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":61,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.902526Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:088b49b2f50dc4007814d1519dd16d29044c692e7f467223fec08146c3dfd1ed","observation_id":"568fd96c-5fb2-490b-bb89-db4ed66e693f","resolution":{"observed_at":"2026-08-06T22:11:32.347070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:32.124686Z","title":null,"venue":null,"work_id":"0f6562bb-c5c0-4b9b-945b-2056043c53f2","year":2025},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":62,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:28.995204Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:50e8bc90c6e2b964cabd01567e7405f9ef9100219b3ef4d1fb5d90014dfa8409","observation_id":"4b053394-1571-40d4-89ce-1df83ae8dd30","resolution":{"observed_at":"2026-08-06T22:11:32.212448Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.910845Z","title":"Sengupta","venue":null,"work_id":"f2f6287f-3fe0-4028-bfc1-0c29bad3cf63","year":2002},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":63,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.071874Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:7d2c2da534936ba659a91be97725da2e208eb444e8d48598f2c96f6eae6b581e","observation_id":"288d003f-8f26-4039-afee-b9a39be25079","resolution":{"observed_at":"2026-08-06T22:11:32.018548Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.755839Z","title":null,"venue":null,"work_id":"09697042-cbc8-4714-a0fe-79b2547d1729","year":2008},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":64,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.151865Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:c21be21be3525659bace59c63f0265a04250c40c2b17aaa974705720877e0a6c","observation_id":"c4213c8d-54a5-44a7-a561-4b98af7da77b","resolution":{"observed_at":"2026-08-06T22:11:31.807377Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.582654Z","title":"Sitaram, M","venue":null,"work_id":"255a2ebb-c6b2-4b54-9e09-ec616b2d3337","year":1995},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":65,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.220525Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:bc07fee418ff431a04a8a893634cae243863ad57a9ca9934492027dd627c269a","observation_id":"d6e25431-519f-4617-97cd-9bbd0a9a8ea9","resolution":{"observed_at":"2026-08-06T22:11:31.641790Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.17505","last_updated":"2025-01-29T09:22:57Z","snapshot_observed_at":"2026-08-04T19:44:27.344868Z","submitted_at":"2025-01-29T09:22:57Z","title":"The Fourier transform is an extremizer of a class of bounded operators","version":1},"cited_work":{"arxiv_id":"2501.17505","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.17505","snapshot_observed_at":"2026-08-06T22:11:29.909608Z","title":"The Fourier transform is an extremizer of a class of bounded operators","venue":"math.CA","work_id":"b2097a97-5964-4184-9ce8-e4b016457431","year":2025},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":66,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.304961Z"},"links":{"cited_paper":"/paper/2501.17505","citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:7f1395add8c5f9c0c97dbb508086ee70e78e9505fdd26079406c07d523f6e908","observation_id":"3deafb84-d421-4e49-9bd7-bc8141d7db44","resolution":{"observed_at":"2026-08-06T22:11:29.981462Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.444830Z","title":null,"venue":null,"work_id":"58af99db-4cc2-4860-b422-55553a9a2234","year":1956},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":67,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.389739Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:da6e6d0bde134d04156d4dd202a77b17c39d96065419c9bc553feccf3ec36d52","observation_id":"fbea514f-2f62-48c0-a736-10a7b3d3b532","resolution":{"observed_at":"2026-08-06T22:11:31.512940Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.313281Z","title":null,"venue":null,"work_id":"e1859d18-c99b-4a84-bf96-37f7f810e353","year":1970},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":68,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.486325Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:2123705cb61ab87fe32313ad05575d8e0ca333fc37f04d2b418c2babe9a39c7c","observation_id":"e3d3e725-c06a-4f90-82f3-fa90f58e7869","resolution":{"observed_at":"2026-08-06T22:11:31.361302Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:31.152341Z","title":"Steinerberger","venue":null,"work_id":"05ece907-5ce5-46e5-90fe-0bf0bc91b033","year":2021},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":69,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.555679Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:8f44e06d996ff51bbd066e9f908f8e83cd456e55598424b47a8aeb10beb5fbe3","observation_id":"1dcc292e-102a-43ad-aa01-1410bbeba2fa","resolution":{"observed_at":"2026-08-06T22:11:31.254676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:30.982940Z","title":"Thangavelu","venue":null,"work_id":"3332cfc0-5614-4afc-ba1f-0185f77d6fdf","year":1990},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":70,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.633151Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:6e96593dd5ae345021865f452de4fe6142f0e509d5f37b6ffe45b617f7b1851d","observation_id":"559f7647-4181-40fc-94b8-f225b40e400b","resolution":{"observed_at":"2026-08-06T22:11:31.033635Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:30.766651Z","title":null,"venue":null,"work_id":"e8339ee6-667e-4453-b07b-ba29e3d60d58","year":1927},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":71,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.718205Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:c4ab12a93ed4131ca7653a74c711fdd0304da8778437ef1895184fe5869fe6e6","observation_id":"7d79d3a4-00f5-4dc8-9b5b-7b7171ca5e93","resolution":{"observed_at":"2026-08-06T22:11:30.872022Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-06T22:11:30.597364Z","title":"Xiao and J","venue":null,"work_id":"d8ca47bc-7e9e-4e84-b1e1-817704835db0","year":2012},"citing_paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type","version":1},"reference_index":72,"source":"arxiv_source","source_observed_at":"2026-08-06T22:11:29.778687Z"},"links":{"citing_paper":"/paper/2506.22792"},"observation_digest":"sha256:0c8301c802ec259be256f4bab40dd94bfc54a591f00cbf78fff282d42d640db6","observation_id":"a7e1ce2a-a42b-49f9-a421-8f3ef2186721","resolution":{"observed_at":"2026-08-06T22:11:30.651885Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.22792","last_updated":"2025-06-28T07:26:35Z","latest_version":1,"primary_category":"math.FA","snapshot_observed_at":"2026-08-06T21:55:19.022025Z","submitted_at":"2025-06-28T07:26:35Z","title":"Shifted Pitt and uncertainty inequalities on Riemannian symmetric spaces of noncompact type"},"reference_resolution":{"displayed":72,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":29,"verified_exact":4,"verified_fuzzy":39},"total_outbound_references":72},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2506.22792."}