{"as_of":"2026-08-08T03:10:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:ecacd59434a9dc03b922f2f357efdaf5e7bd1a238337d89fbeb5c27d762572c6","coverage":[{"denominator":27,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":27,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T12:04:15.649766Z","state":"measured"},{"denominator":27,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":27,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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/2506.00976/citation-record","integrity":"/paper/2506.00976/integrity","json":"/paper/2506.00976/citation-record.json","paper":"/paper/2506.00976"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:18.444048Z","title":"Lemma C.1.Let µ, νmeasures with set of admissible couplings Π(µ,ν) , the trivial coupling π⊗ , and ˜µand ˜νthe respective coarsened measures","venue":null,"work_id":"5cb00255-cd03-4f8e-a1d8-0e232082bc2d","year":2009},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.649766Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:2c9b7b988b1dc28cbf4bdf183e2fd1ac698cfd5aa0a0ebb81fe9311a4c7eca62","observation_id":"d56b77f1-423a-4e45-a795-796019a7a3f7","resolution":{"observed_at":"2026-08-07T12:04:18.573510Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:04:19.035286Z","title":"Negative-valued bounds are clipped to 0, evaluat- ing as 100% relative error","venue":null,"work_id":"0173dc71-475c-4f04-b0b7-64be4ec34cb4","year":2017},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.457925Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:12be39cab4ee3f897670d1dcb30002c6f179bd99163081fb643bf6272f2a3801","observation_id":"234fb8c6-1d34-4edc-b2d6-ac662e4fc690","resolution":{"observed_at":"2026-08-07T12:04:19.233604Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:04:18.728682Z","title":null,"venue":null,"work_id":"62575df4-26c1-4999-a749-67e8c4479c31","year":2024},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.580771Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:1f568d7e9d80f1e0fb4bd169b11eb32048d42de134a468c1e3f83dd3800495d0","observation_id":"084e1191-9aca-4d4f-97b0-50045c2d9150","resolution":{"observed_at":"2026-08-07T12:04:18.888904Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:13.665764Z","title":"doi:10.1111/j.1467-8659.2011.02032.x","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.665764Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:18b4df83dbf56b7636eade2b454add18014289e7dccdebcfb5781028dc029f63","observation_id":"cefd34f3-a90f-4ece-9729-1d406705ef7d","resolution":{"observed_at":"2026-08-07T12:04:13.665764Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:14.154990Z","title":"doi:10.1109/TCBB.2023.3327633","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.154990Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:46e85dea3591cfed478a2b8cdf1b24c0a8fc03a806ccef74c48c01ee8e21d7c5","observation_id":"b82a391d-0edb-442e-8197-384d923c07b1","resolution":{"observed_at":"2026-08-07T12:04:14.154990Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:14.286902Z","title":"doi:10.1016/j.cell.2019.01.006","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.286902Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:0f5445bc00751b106e5adbd2ae94ad6727a67507978fee1b0d421d8bf6cded72","observation_id":"c67a48f4-56dd-4794-a4b2-442cafdb561b","resolution":{"observed_at":"2026-08-07T12:04:14.286902Z","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":"2016.26390","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:17.373772Z","title":"doi:10.1109/ACCESS.2016.2639065","venue":null,"work_id":"967c6d6a-74fc-4549-b700-a7ffc1d20b64","year":2016},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.435167Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:c8e11c4e05e96a4fa8e309287f235a758c92a1087c762e52b2af9b9cda9d87dd","observation_id":"f99c805b-febd-42a2-b373-06f8acd42152","resolution":{"observed_at":"2026-08-07T12:04:17.537253Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2022.87093","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:16.686622Z","title":"doi:10.3389/fmicb.2022.870938","venue":null,"work_id":"c993fe70-3c0b-4c35-90c8-74c75c39e5a2","year":2022},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.962151Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:eac0a844867b5a207291d20400ef1ec1cd3612d293a00edf8d8a17c4bbfa3d6d","observation_id":"c64425ca-37ad-44cb-975c-6f8cd2f9a875","resolution":{"observed_at":"2026-08-07T12:04:16.780253Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/nar/gkad1019","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:15.781047Z","title":"doi:10.1093/nar/gkad1019","venue":null,"work_id":"6cce968d-f6d3-4e2c-ab36-c37c7879b42e","year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.333178Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:cce7d9f256aefa423b243285a0a86728b5b95d982abae177153c20ddee7afe64","observation_id":"ba2e1446-8e2d-4d78-83db-afd32d2bbb1c","resolution":{"observed_at":"2026-08-07T12:04:15.907978Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:13.451321Z","title":"URL https: //projecteuclid.org/journals/pacific-journal-of-mathematics/volume-21/ issue-2/Concerning-nonnegative-matrices-and-doubly-stochastic-matrices/ pjm/1102992505.full","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":1967,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.451321Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:73a1eb55b7d3918664f3fbcac70317fa7560a40703b0fd36b8c622d9c31c1d80","observation_id":"c8b1fa20-0069-4506-9143-7e1a5be9c36c","resolution":{"observed_at":"2026-08-07T12:04:13.451321Z","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":"2008.45876","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:17.053093Z","title":null,"venue":null,"work_id":"67e8d343-ea27-41b1-90ba-d0596a72b4e6","year":2008},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2008,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.515938Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:fb646e7f4c63b7e8f7762438f28e6a727941d6c6030edfc3b14bafebd86f306c","observation_id":"95fa6ad5-aee3-47d3-8f5c-be30c722b60f","resolution":{"observed_at":"2026-08-07T12:04:17.134522Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:15.165148Z","title":"doi:10.1007/978- 3-540-71050-9","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2009,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.165148Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:98ceada951c2272c9fabf341907a645167941486880cfaa03e712a783189a531","observation_id":"a37eaad1-45b3-4a3b-bc9c-26562a4985ac","resolution":{"observed_at":"2026-08-07T12:04:15.165148Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:12.781877Z","title":"doi:10.1145/2070781.2024192","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2011,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:12.781877Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:d32779cad321c545a122e8b5e1ec95e60b1e6f2cabddae84d111388c963a1541","observation_id":"786d3e22-c630-4c05-b1e8-9fd8c574b202","resolution":{"observed_at":"2026-08-07T12:04:12.781877Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/nsmb.2711","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:16.395380Z","title":"doi:10.1038/nsmb.2711","venue":null,"work_id":"3cee6419-a995-4193-8f52-b352da6b2e14","year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2013,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:12.675306Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:f87e17febb3050105a1e47725b8fae9cd8ebba2a08e16f0c4e1361fbbdd7926a","observation_id":"ae617d98-6afa-4010-8b69-408b60403a4b","resolution":{"observed_at":"2026-08-07T12:04:16.483941Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.7554/elife.03080","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:16.014722Z","title":"doi:10.7554/eLife.03080","venue":null,"work_id":"b90ca563-af3e-4a3e-90e5-fed07e7bca43","year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2014,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:15.258311Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:b37de7a6c17368aea271e3ec4e2b55eafd62390faf300b037ff18e490b5e44d1","observation_id":"c5554f29-381d-41f0-8ee1-773465d00121","resolution":{"observed_at":"2026-08-07T12:04:16.086153Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:14.799971Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2015,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.799971Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:4fb2e67796a8716ba79dda14fcb13f948f878627ea38a18fb1c2ec5fb7fbed04","observation_id":"174d11df-2f82-498e-b19e-47d78ca8f0e2","resolution":{"observed_at":"2026-08-07T12:04:14.799971Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/nature16940","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:16.201130Z","title":"doi:10.1038/nature16940","venue":null,"work_id":"2349585f-3f87-4600-b58c-ed9cee04f063","year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2016,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.841314Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:09b320686579669994d73bc8948b989a546658a7b64bcf33dbe939093fc32d58","observation_id":"c13fc91d-87ca-4b14-99e0-f15cc43863b9","resolution":{"observed_at":"2026-08-07T12:04:16.268643Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:13.103022Z","title":"doi:10.1109/TPAMI.2016.2615921","venue":null,"work_id":null,"year":1939},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2017,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.103022Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:31bed8b9d47970050858f1c4915311acd268edeeeceba95c191889c0feaab21b","observation_id":"5cc7f470-e566-4f67-ab88-29ac94c00f2d","resolution":{"observed_at":"2026-08-07T12:04:13.103022Z","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":"2026-08-07T12:04:19.795967Z","title":null,"venue":null,"work_id":"f06fd6f0-bf84-49cf-8803-bdd438c97f2b","year":2018},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2018,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.205268Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:32618d3d352ededcdd5c2207c17c4d5e4cf3810fbb6ae75d3de34cce95390c7e","observation_id":"9a42acd7-4267-40df-885a-aa65a8659aab","resolution":{"observed_at":"2026-08-07T12:04:19.917589Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:04:19.422971Z","title":null,"venue":null,"work_id":"8bac8864-41cc-4f6f-9178-926d35782d46","year":1935},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2019,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.952783Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:82c7492a89574f94a898752420c7647fe6b891a37c18d80fb0d65b123ed6fc7b","observation_id":"68c8738d-8bdb-4f05-8b14-f0504e434f6a","resolution":{"observed_at":"2026-08-07T12:04:19.590824Z","resolver_source":"raw_fallback","status":"parse_uncertain"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T12:04:20.012393Z","title":null,"venue":null,"work_id":"6006d8fd-f198-4efe-b1e5-317ca96261b8","year":2020},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2020,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:12.591435Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:6a862dea8e188820d86be65e0c53344d901ed302fe9dcba87ccec4ed054d0992","observation_id":"3a3da56b-8fb6-430c-af03-600c4ae0360c","resolution":{"observed_at":"2026-08-07T12:04:20.101165Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:13.324539Z","title":"doi:10.1007/s00041-021-09879-2","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2021,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.324539Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:ada3f4eab65fbe51d9d3828908d39820700647eea1f4de482a0651b48eb4389b","observation_id":"4cf41c3e-5418-476a-865d-4be7a9f1369e","resolution":{"observed_at":"2026-08-07T12:04:13.324539Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:12.933610Z","title":"ISBN 978-1-66546-946-3","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2022,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:12.933610Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:53ed587aca26dc71e03060cc861980f26d5934976e1efd528b3098570887cb7d","observation_id":"ce64ae95-c749-4b54-bea7-506ddf64b488","resolution":{"observed_at":"2026-08-07T12:04:12.933610Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:13.586865Z","title":"doi:10.1002/pro.4792","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2023,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.586865Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:a242eef8b4d3b8fdc84eb02dceb24e2c3a22437e9a8a53bf364116c34caefa96","observation_id":"2a743846-745c-481d-b150-ce9c10946175","resolution":{"observed_at":"2026-08-07T12:04:13.586865Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:14.654081Z","title":"doi:10.1017/S2633903X24000059","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2024,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.654081Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:c41e2784a43c97442f71393c7617528ea8b6b7dea9b728da67053a6e0e4c5afc","observation_id":"88a643f2-802d-4798-8521-24268520b156","resolution":{"observed_at":"2026-08-07T12:04:14.654081Z","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":"2024.34890","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:17.826307Z","title":"doi:10.1109/TPAMI.2024.3489030","venue":null,"work_id":"1709043c-cffa-4d46-bc83-7be441b82166","year":2024},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":2025,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:13.743971Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:07eb04468ce937ffcd68077bdd0124d744e9f6f2029b6449a5484713a3ccf1ab","observation_id":"fc1ca8f1-886c-48c0-96b7-94550c0b9974","resolution":{"observed_at":"2026-08-07T12:04:17.914802Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T12:04:14.074375Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric","version":1},"reference_index":8245,"source":"pdf_text","source_observed_at":"2026-08-07T12:04:14.074375Z"},"links":{"citing_paper":"/paper/2506.00976"},"observation_digest":"sha256:290275123c292cf317ab280cae49d8a72f49e6ded918e1e9e34679c92ee94279","observation_id":"12d1d87b-326a-4f76-993d-8af103974c17","resolution":{"observed_at":"2026-08-07T12:04:14.074375Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2506.00976","last_updated":"2025-06-01T12:06:31Z","latest_version":1,"primary_category":"cs.LG","snapshot_observed_at":"2026-08-07T11:51:24.024833Z","submitted_at":"2025-06-01T12:06:31Z","title":"Quantization-based Bounds on the Wasserstein Metric"},"reference_resolution":{"displayed":27,"state_counts":{"malformed_identifier":1,"metadata_mismatch":4,"parse_uncertain":1,"unresolved":15,"verified_exact":4,"verified_fuzzy":2},"total_outbound_references":27},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.00976."}