{"as_of":"2026-08-09T09:02:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1fcd22b3ab0fba5e7e8df72f286fdb311792af96002f8442abda7a0f350674e7","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":"2026-08-06T15:41:01.175517Z","state":"measured"},{"denominator":73,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":73,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-09T06:31:02.800959+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-06T11:43:29.596833Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T11:43:32.176442Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"cited_work":{"arxiv_id":"2507.15560","doi":null,"metadata_source":"pith","pith_arxiv_id":"2507.15560","snapshot_observed_at":"2026-08-06T11:43:32.176442Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","venue":"math.AP","work_id":"7cce3737-d130-4eaf-b547-6ff7ef659d72","year":2025},"citing_paper":{"arxiv_id":"2507.22723","last_updated":"2025-07-30T14:41:32Z","snapshot_observed_at":"2026-08-08T06:46:33.210893Z","submitted_at":"2025-07-30T14:41:32Z","title":"Inverse spectral problems with sparse data and applications to passive imaging on manifolds","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-06T11:43:29.596833Z"},"links":{"cited_paper":"/paper/2507.15560","citing_paper":"/paper/2507.22723"},"observation_digest":"sha256:2cbb7935cba7f9726a0f689b6ff7f403c012b744a3a8d39678eaa1bda37eb306","observation_id":"4e72a257-c860-43ff-b67b-55f72efda609","resolution":{"observed_at":"2026-08-06T11:43:32.231420Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2507.15560/citation-record","integrity":"/paper/2507.15560/integrity","json":"/paper/2507.15560/citation-record.json","paper":"/paper/2507.15560"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.225613Z","title":"Albano, On the stability of the cut locus, Nonlinear Anal","venue":null,"work_id":"cd4baa6b-3d66-409d-b8a1-417e4691419e","year":2016},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:53.559894Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:ce445d941f47a9ee73f6f88b2ddd90199510d96d4d9ffd241b7e06372129c8be","observation_id":"e9f1896a-a717-4123-a178-dedd08a9deb6","resolution":{"observed_at":"2026-08-06T15:41:08.232299Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.201281Z","title":"Alessandrini, J","venue":null,"work_id":"a1b9dd5c-53be-499e-b59a-b800364859e7","year":1990},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:53.621732Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:883ce9e5ad11edaeb9249bfced70a839201a9c36b609d020c50271f0752a6d92","observation_id":"080f6672-0119-48a6-853b-39758be930a6","resolution":{"observed_at":"2026-08-06T15:41:08.207969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1903.08539","last_updated":"2023-06-09T21:06:59Z","snapshot_observed_at":"2026-07-06T07:40:32.213798Z","submitted_at":"2019-03-20T15:05:02Z","title":"Alexandrov geometry: foundations","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1903.08539","snapshot_observed_at":"2026-08-06T15:40:53.698807Z","title":"Alexander, V","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:53.698807Z"},"links":{"cited_paper":"/paper/1903.08539","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:6618e2ee7a494938c5f813a891f14cbc2dd5d6653c63a92cac909a12ea188ce4","observation_id":"0d59f3c9-1b15-4fd2-a1a1-2c4bb30ad696","resolution":{"observed_at":"2026-08-06T15:40:53.698807Z","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":"2026-08-06T15:41:08.180031Z","title":"Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent","venue":null,"work_id":"586bb375-9323-4746-81f0-43fea3297157","year":1990},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:53.803004Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:21277507b2d8706c3e26214c7a4ed0338229d09ab8320b48c6c7eda12efa9be2","observation_id":"4b7694d8-27d8-4762-95b9-92051a68b727","resolution":{"observed_at":"2026-08-06T15:41:08.185320Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.159626Z","title":"Anderson, A","venue":null,"work_id":"991586db-59ed-4f61-8e4b-29302837f5c8","year":2004},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:53.894882Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:204cb3aa7b78a52aeacb617f4caea9a7723844e6952b51958d0b60a1a3fe52b1","observation_id":"4ccf815b-b6a8-42a6-b25a-71ba2295a30e","resolution":{"observed_at":"2026-08-06T15:41:08.166954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.140543Z","title":"Armstrong, R","venue":null,"work_id":"0ce4fe3d-fabe-46a4-9697-5ab52bd0b732","year":2025},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.001261Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a57dc3025113c98f02925421b3b1d248b1db3ca95d101631daaf599c0254d559","observation_id":"18cebcc8-6a23-4359-98d3-dc39edf7ffaa","resolution":{"observed_at":"2026-08-06T15:41:08.144979Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.114689Z","title":"Arnaiz, C","venue":null,"work_id":"cd861784-db4d-49c4-bee7-b5ce75ee094f","year":2023},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.096206Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:92eed2c751dfef31ea209e6b85f8122bb840d0aed24528cc6070fbca48047584","observation_id":"f91cd191-4a38-497d-8d8e-1893093bfca6","resolution":{"observed_at":"2026-08-06T15:41:08.124378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.094921Z","title":null,"venue":null,"work_id":"778bd8af-2fd5-45db-aacf-823a7af55ee1","year":2014},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.196652Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:4d3d175fe05b07815bc947764d64bebecf3a570a539d3b954bfbdaf2db6bb459","observation_id":"eecafc9d-78f0-4146-bd69-abc236d73637","resolution":{"observed_at":"2026-08-06T15:41:08.099943Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.074210Z","title":"Belishev, An approach to multidimensional inverse problems for the wave equation, Dokl","venue":null,"work_id":"c214d2d8-9c48-4e22-a413-7ed2dfe7fcbe","year":1987},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.282435Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:3cbc8114898d684a0010aecd98b7b4d39f6f0f07b7b9ab48e63725011a09291b","observation_id":"98571466-8363-498b-b0c2-175bf4384850","resolution":{"observed_at":"2026-08-06T15:41:08.080586Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.047943Z","title":"Belishev, Y","venue":null,"work_id":"5de26548-bc97-4596-b38b-56418e597880","year":1992},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.376480Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d4a46a1d82a7151dc91050392fe110b189b26d668fc2b39c57ffba93b060d784","observation_id":"11e8377f-48f2-4395-bfd4-437501f6c2ae","resolution":{"observed_at":"2026-08-06T15:41:08.054344Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.027289Z","title":"Belkin, P","venue":null,"work_id":"915ae929-900c-447e-b9f7-1977287925c4","year":2007},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.467653Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:2526f8258c9a28c8f106513757d58b2f4cc6fc29ae37400e0b976f0ac7105b0d","observation_id":"dce7c5d7-cb47-4389-a7fc-129cdb47d295","resolution":{"observed_at":"2026-08-06T15:41:08.033542Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:08.002120Z","title":"Bellassoued, D","venue":null,"work_id":"cbbc5ffd-0771-4a63-92d7-c9c487288b31","year":2010},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.575369Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a1be1911c51caa7431f79315d2987fd7d37fe4806a3f719a8b46bc294f7e156d","observation_id":"59dfabb7-4320-42e7-84f0-a344c472fc32","resolution":{"observed_at":"2026-08-06T15:41:08.009522Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.963089Z","title":"Bellassoued, D","venue":null,"work_id":"28bd1a36-b2ce-4570-a743-5116c2c0d4b0","year":2011},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.661651Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d496275752438fe9fef41b11c00861a3e76be84800486d81faa01b4e491a2ea1","observation_id":"6e839a8f-fd93-4a03-87fd-2426c1a79022","resolution":{"observed_at":"2026-08-06T15:41:07.969036Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.938014Z","title":null,"venue":null,"work_id":"82d8da05-3f33-447a-81a4-f81ff7c0b22d","year":1993},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.761815Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:2f022f3e1124480627a27c0f1e3b058c7bd08009d37f6473112f6a015be96b35","observation_id":"9cf9414a-fba1-46d3-b5a4-6b9354fc943b","resolution":{"observed_at":"2026-08-06T15:41:07.946799Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.19413","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:02.292322Z","title":"Bhowmick, J","venue":null,"work_id":"d6c01a57-5942-4067-a95e-fca95e6be595","year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:54.860611Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:f1da4fabd6bea0cc07dbd190b84e74ebfb3532b438bd22c06f37bc29666d2be9","observation_id":"06b6e7c5-1f68-4ae7-9da5-3b84edf80404","resolution":{"observed_at":"2026-08-06T15:41:02.447517Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.911874Z","title":null,"venue":null,"work_id":"9e06c7b8-25b2-4f0e-a424-90c37246abea","year":2018},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.019118Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:fbf999f1d561cb3c3942659868697694c2a018df21258a6661e8ac5e94aee2c2","observation_id":"ccf06965-c8bc-44b9-ae72-d5c6127b3fe8","resolution":{"observed_at":"2026-08-06T15:41:07.919458Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.889591Z","title":null,"venue":null,"work_id":"dd9ccfea-5c77-4a7c-85d9-a5dcf0b134b6","year":2016},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.120209Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:91bc2c4d173ecf4bf27914b70be57a9e472d0cedfe6335a8d32e4041d9c92216","observation_id":"14c27df4-ec66-4691-9f30-ffe1d0a7941d","resolution":{"observed_at":"2026-08-06T15:41:07.896811Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.859368Z","title":null,"venue":null,"work_id":"c6e70dc2-c2df-4d39-89df-9bd4414730c6","year":2022},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.195232Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:18173905beda93c3b57c1f6201300791f2a2dfb479a1f0fad617db445a376474","observation_id":"252ed6d4-c565-43fb-b9f3-88dc60bf82b7","resolution":{"observed_at":"2026-08-06T15:41:07.872172Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.823026Z","title":"Burago, Y","venue":null,"work_id":"2b89b6bb-b352-4d2a-a060-fc112734aece","year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.288360Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:45f0e133a8380b8b7e24d490ffcf3b3bc586f6e6320efd6f46e14bdd8381c1cd","observation_id":"ac56800f-49b8-411a-b1a9-9e5f0f07195a","resolution":{"observed_at":"2026-08-06T15:41:07.836095Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.796772Z","title":"Burago, S","venue":null,"work_id":"9b4ed527-4c2c-40dd-b92d-a32907613580","year":2014},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.422033Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a6eadec9ab3f7a4a03b24cd30421400e3a74d75ba0aa22e3bb2405bbc3a69cb0","observation_id":"9c964c74-f04e-4ba8-b5f1-2fc7e5465a35","resolution":{"observed_at":"2026-08-06T15:41:07.803969Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.761367Z","title":"Burago, S","venue":null,"work_id":"5fc8040b-27a1-4ce3-a73d-fd5c82ce4885","year":2019},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.580399Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:bafdb6dfc597b858983db67e89b4c9ba77eecf3e1096ee404243ef5a8ce12fb2","observation_id":"8fd3eb8c-0376-40d9-8e5b-75e899466ea8","resolution":{"observed_at":"2026-08-06T15:41:07.777303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.740536Z","title":"Burago, S","venue":null,"work_id":"44e4cd33-ae07-43a5-9f16-31c7cf2b7d16","year":2022},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.673438Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:2ddb361e9f645b0388e4ad7c978dc83bb1211fbcd1d75c5378d9d887fadf5065","observation_id":"4273305c-e058-407b-ae96-240de5227083","resolution":{"observed_at":"2026-08-06T15:41:07.746762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.713718Z","title":"Burago, S","venue":null,"work_id":"7d941b45-2836-4747-813a-f8a188a08101","year":2025},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.773646Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:ed1024b77671058087d56e9b9d52e9cd7cd537dfb1a43e11dc873edcf453f59e","observation_id":"7eb92333-fd6d-4c07-bc78-e9fd5fa61e45","resolution":{"observed_at":"2026-08-06T15:41:07.719148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2506.23559","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:02.050990Z","title":"Busch, M","venue":null,"work_id":"61c038de-9697-4c0e-abe0-68dbf2b8457f","year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.907364Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:6eefbfdd31ddff9fca5dd2c8a1ce55d7fc2d62c6f539dc8d4b7b08550b6557ec","observation_id":"639bf30e-6914-4dfe-9bdb-f082bf3dcb0a","resolution":{"observed_at":"2026-08-06T15:41:02.156773Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.689162Z","title":"Cheeger, Finiteness theorems for Riemannian manifolds, Amer","venue":null,"work_id":"d9c8229a-a2e3-457f-b403-faab2cbad4cf","year":1970},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:55.980925Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:af738f9ada1aacf4f73e6cc2548aff55c2231a504be2370c8f45ec41a9fff5db","observation_id":"9e20d590-2873-4136-ba95-7f251bb8eae1","resolution":{"observed_at":"2026-08-06T15:41:07.696044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.664279Z","title":null,"venue":null,"work_id":"5f98ef13-37e9-474f-ac71-8b85c8683e04","year":1997},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.087667Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a50ee88d380f45e66b0daff9dab91450bcdaf73b5252b5accab6c169e93d1102","observation_id":"f055f6aa-04c9-40a6-8114-265753eadcfa","resolution":{"observed_at":"2026-08-06T15:41:07.672459Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.639888Z","title":"Fefferman, S","venue":null,"work_id":"4b24e6ce-fbe3-48b4-a55a-6a28dc8bb21d","year":2020},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.219843Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:c69ebb66b95e8bd3a7a3b3606ef59688322400b3a5a3e9c3ad24d11f87574db6","observation_id":"dfbb9c71-001b-4db0-8c0c-878d3356c95d","resolution":{"observed_at":"2026-08-06T15:41:07.648326Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2111.14528","last_updated":"2025-05-29T10:01:28Z","snapshot_observed_at":"2026-07-06T12:13:06.745394Z","submitted_at":"2021-11-29T13:40:31Z","title":"Reconstruction and interpolation of manifolds II: Inverse problems with partial data for distances observations and for the heat kernel","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2111.14528","snapshot_observed_at":"2026-08-06T15:40:56.290573Z","title":"Fefferman, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.290573Z"},"links":{"cited_paper":"/paper/2111.14528","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:67d89425e48e44b883949002ad943788b4541f3b7de4fc33170ecb2035508408","observation_id":"83a46d72-a46d-4cda-83ed-e257e7257243","resolution":{"observed_at":"2026-08-06T15:40:56.290573Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2112.03480","last_updated":"2021-12-07T03:57:21Z","snapshot_observed_at":"2026-07-06T12:16:01.829426Z","submitted_at":"2021-12-07T03:57:21Z","title":"Fractional anisotropic Calder\\'on problem on closed Riemannian manifolds","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2112.03480","snapshot_observed_at":"2026-08-06T15:40:56.369781Z","title":"Feizmohammadi, T","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.369781Z"},"links":{"cited_paper":"/paper/2112.03480","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:fc954c73ffe18eae3364bba3c6d90d548dd8516d7d6041a1fddf162267409a8e","observation_id":"0a476d13-f25e-4006-89a1-8375f7b1bb4a","resolution":{"observed_at":"2026-08-06T15:40:56.369781Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13014","last_updated":"2025-03-10T15:06:17Z","snapshot_observed_at":"2026-08-08T09:28:45.665376Z","submitted_at":"2025-02-18T16:34:10Z","title":"On the stability of an inverse problem for waves via the Boundary Control method","version":2},"cited_work":{"arxiv_id":"2502.13014","doi":null,"metadata_source":"pith","pith_arxiv_id":"2502.13014","snapshot_observed_at":"2026-08-06T15:41:01.665430Z","title":"On the stability of an inverse problem for waves via the Boundary Control method","venue":"math.AP","work_id":"a99c9965-cef5-454e-bbae-6d2ad303faa2","year":2025},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.440899Z"},"links":{"cited_paper":"/paper/2502.13014","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:7cc5084c0ab14a4b41ab98e0e5adc4628934c43296f429f4978d832226aea9d5","observation_id":"b3aa0f7f-710d-4464-8ba0-4ad5bae575bb","resolution":{"observed_at":"2026-08-06T15:41:01.755192Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2502.13040","last_updated":"2025-03-10T15:13:38Z","snapshot_observed_at":"2026-08-07T18:07:48.659701Z","submitted_at":"2025-02-18T16:51:32Z","title":"On the blowup of quantitative unique continuation estimates for waves and applications to stability estimates","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2502.13040","snapshot_observed_at":"2026-08-06T15:40:56.546714Z","title":"Filippas, L","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.546714Z"},"links":{"cited_paper":"/paper/2502.13040","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:4b219891551c5821e8dcd31a817c6505955898f65108a63424f8892bb35d01cb","observation_id":"8e4be608-fb93-4d3e-b521-8bb1b093b93d","resolution":{"observed_at":"2026-08-06T15:40:56.546714Z","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":"2026-08-06T15:41:07.610270Z","title":"Fujiwara, Eigenvalues of Laplacians on a closed Riemannian manifold and its nets, Proc","venue":null,"work_id":"1e91215f-a0fa-4d0c-a65b-3698a205e585","year":1995},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.613935Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:ad125e0ce11cd38d436831216cbb8a2023d13ed744f2ead7e89e26f945a71a5c","observation_id":"54357f21-4ab5-47fe-a3a8-1d35eac2bc03","resolution":{"observed_at":"2026-08-06T15:41:07.619931Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.588706Z","title":"Garc ´ ıa Trillos, M","venue":null,"work_id":"e01c8b85-2a57-42f4-8891-76d761d0cf14","year":2020},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.706319Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:e735158f9fe8c6b88a4b245fe455f68b6092ef66079677ac2c6303602f3621ac","observation_id":"b142b69e-2000-4d68-a56c-f825ae46496c","resolution":{"observed_at":"2026-08-06T15:41:07.594870Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.563330Z","title":"Garc ´ ıa Trillos, P","venue":null,"work_id":"21854b51-aabb-4009-aed6-4312fbe70913","year":2023},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.803490Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:9e67e04917f5e76a63b9283d679f8cfeefcaf90fbc5f326b693b0636c3169f91","observation_id":"c5045522-0c68-4051-a0c6-33a4c251e265","resolution":{"observed_at":"2026-08-06T15:41:07.571182Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.543627Z","title":"Gel’fand, Some aspects of functional analysis and algebra, Proc","venue":null,"work_id":"c810257f-2d6e-414c-9443-76ded372ca17","year":1954},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.894065Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:158703528f136a2246f6e41182cb7bd52958556a1f63382eddaf7591fd1bba67","observation_id":"811f2afd-a51a-484d-96b1-ffe329a95d3b","resolution":{"observed_at":"2026-08-06T15:41:07.551091Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.517165Z","title":"Gilbarg, N","venue":null,"work_id":"4995f25e-2726-4da4-8f77-5b189c644e6a","year":2001},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:56.966138Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:5d924ef20a2b3bfc8ea4b6d6857c5b0b144f1bdc4f2406cb29036b80f341167f","observation_id":"2d58ec95-3358-4b11-b5bd-ff21241b2c44","resolution":{"observed_at":"2026-08-06T15:41:07.524561Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.487127Z","title":"Gromov, Structures m´ etriques pour les vari´ et´ es riemanniennes, Cedic/Fernand Nathan, Paris, 1981","venue":null,"work_id":"d9c92cd4-40b7-4ed8-9554-0dc9e0851b51","year":1981},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.039653Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:69590f49a6f5b7df372e96c71e5b6792622139e42ff5c5a7d78622c19b8fa5dd","observation_id":"e3cb6ad1-dd09-46bb-ab9c-b4ba3d9ce00c","resolution":{"observed_at":"2026-08-06T15:41:07.493051Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.462184Z","title":"Hebey, M","venue":null,"work_id":"3236ef95-a65f-4509-9b4a-38c94d9d4ad2","year":1997},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.131927Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a4660a3c03f100a394df1a64ea5b780986ef4b355cc9ea8d89b65c356051067c","observation_id":"60670232-4e0f-4851-a6f4-d69f611ac129","resolution":{"observed_at":"2026-08-06T15:41:07.469831Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.421485Z","title":"Hebey, M","venue":null,"work_id":"c2eecc53-7cda-4105-b8c2-079c238deeeb","year":1995},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.230468Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:33135d202a44ce84c9d9587edd6ae1e2d7ff0935ff08855a56831a2d4e7778b9","observation_id":"a21885c3-a133-40d6-ac77-1317b2c6fd95","resolution":{"observed_at":"2026-08-06T15:41:07.436048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.394376Z","title":"Helin, M","venue":null,"work_id":"ea569cbb-acb6-425c-90e7-72d397fbbcec","year":2018},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.322402Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:fef8b1d0a13c6f64550353f661be932fe1cb6d1d8c4e454661f5877fb50bdcab","observation_id":"8f485d78-98ba-4862-b72d-998210874071","resolution":{"observed_at":"2026-08-06T15:41:07.401147Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.372877Z","title":"Honda, Elliptic PDEs on compact Ricci limit spaces and applications, Mem","venue":null,"work_id":"5f877741-f068-496c-b4a9-bf882179ca59","year":2018},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.420596Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:bc599e0a7d143b108d8d874b307d909e41fcee516bfe20ed115e7d371d3629a8","observation_id":"8c7aba1b-3ab9-4acf-b544-ddc4029ba2bd","resolution":{"observed_at":"2026-08-06T15:41:07.379229Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.354902Z","title":"Honda, Spectral distances on RCD spaces, Math","venue":null,"work_id":"955d2f76-b942-46ae-abb5-104b7557c673","year":2024},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.494820Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:851c1a6a0a30cf345f167d3a95d7de3b934df204dedacbb8a701e33d95a54593","observation_id":"abbc287a-3af5-42a3-ba3f-c71a51efbee1","resolution":{"observed_at":"2026-08-06T15:41:07.360155Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.335023Z","title":"Isakov, Z","venue":null,"work_id":"2900faa6-86a6-454d-9a7c-f1d4f0cfac46","year":1992},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.583234Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d21ff01f4083f1acb7f44df14fb9a6d39208130632c7059d0cc695a2ffab57f9","observation_id":"84f848cf-c84a-4c4b-89c5-3d8730e9b82d","resolution":{"observed_at":"2026-08-06T15:41:07.342642Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.310025Z","title":"Ivanov, Distance difference representations of Riemannian manifolds, Geom","venue":null,"work_id":"c30f2fed-6b2e-4773-b7b7-c306aa534eee","year":2020},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.668425Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d4f31d1af9da4367755ca1f1525b78bda93a68e7b4dc01ca985dbfe60f774088","observation_id":"70fb8031-bb4a-48d3-a6c0-75005f25755f","resolution":{"observed_at":"2026-08-06T15:41:07.322253Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.287791Z","title":"Ivanov, Distance difference functions on non-convex boundaries of Riemannian manifolds, Algebra i Analiz 33 (2021), 81–92 (Russian); St","venue":null,"work_id":"79d05e71-5e17-47ad-b66f-a1d0df4cbbc8","year":2021},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.783597Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:430ca13ea16d4190b39d7f1ad20f4077ce8f1c046c36c87dfdedc0c62f1ec922","observation_id":"9f3ae227-9de5-4a95-aab8-1d0d73406827","resolution":{"observed_at":"2026-08-06T15:41:07.295114Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.264139Z","title":"Katsuda, Gromov’s convergence theorem and its application, Nagoya Math","venue":null,"work_id":"b11e9dec-1a21-4945-9d54-db59d022d356","year":1985},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:57.944685Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:a616af3815678632a94087f3b133a6e4f6ded05ff55681996cba19fa7756f9c4","observation_id":"25519166-65a2-4e72-8962-037ec9aba8a2","resolution":{"observed_at":"2026-08-06T15:41:07.273100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.243841Z","title":"Kasue, H","venue":null,"work_id":"d4229ec6-c15c-4181-93fe-78421868926a","year":1994},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.066623Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:eb330a0e522b6e11e3f84ddea9962f6bc10d01c2b0a60094acd6cfe9956e0914","observation_id":"6f0c4a46-f8c1-488a-9f6d-d5674c3147f4","resolution":{"observed_at":"2026-08-06T15:41:07.249314Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.225035Z","title":"Katchalov, Y","venue":null,"work_id":"815feaa9-493a-4611-b19c-56befbab51b8","year":2001},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.227495Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:ca7506dbbea17a25145d5dca4b9ee860861f7a7d52556682289306a9a88530c6","observation_id":"7d8e4696-ace6-4a68-b7cc-f4e83a26cf63","resolution":{"observed_at":"2026-08-06T15:41:07.231168Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:07.184681Z","title":"Katchalov, Y","venue":null,"work_id":"bf54b820-d418-4787-89d3-c1fba4f52628","year":2004},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.402149Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:3c157b5dbd4885618bf90e952a7d66ed3ff3a615507866458e99da8377b2034f","observation_id":"cf2dc2bc-88d3-47c8-ab8c-413fbaab5024","resolution":{"observed_at":"2026-08-06T15:41:07.202332Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:06.916735Z","title":"Katsuda, Y","venue":null,"work_id":"6a3abf19-abcf-4385-97b2-4caedfdeceab","year":2004},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.587455Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:8b876f0c06c422f9a53857ee49f85aaee20076e1f2c2b976f05460ebb6dd2ac1","observation_id":"cff3ba52-7354-4a63-8100-a03bef1c1dfb","resolution":{"observed_at":"2026-08-06T15:41:07.072876Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:06.736627Z","title":null,"venue":null,"work_id":"7166a757-8a63-4f40-a691-9420994b6abf","year":2021},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.746096Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:920bacffa9290b81c7a9ebcff1b23099ec8c5942feb971e6bd2bafce6179e8ec","observation_id":"97d725a7-f8ae-4ee1-a3fe-165a6b71134a","resolution":{"observed_at":"2026-08-06T15:41:06.773938Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:06.478046Z","title":"Krupchyk, Y","venue":null,"work_id":"99cc56ed-e03e-4cf4-b06b-8f9196e4e739","year":2008},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:58.876622Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:56e092e77b55d39a96efc1d8059cac6b67cf27b3baa6f5a457728ca44fbd9f0b","observation_id":"de23cf52-fbce-4a9e-bc96-606e007c9af1","resolution":{"observed_at":"2026-08-06T15:41:06.612200Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1209.5875","last_updated":"2024-04-23T07:06:16Z","snapshot_observed_at":"2026-08-06T12:14:31.237861Z","submitted_at":"2012-09-26T08:57:27Z","title":"Inverse Spectral Problems for Collapsing Manifolds I: Uniqueness and Stability","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1209.5875","snapshot_observed_at":"2026-08-06T15:40:59.026374Z","title":"Kurylev, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.026374Z"},"links":{"cited_paper":"/paper/1209.5875","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:c2ac06d16050e200ec9db9ade43aa80f027d33b615ab8339e9c53bdc11601d09","observation_id":"b79a273b-44ac-4a71-8a6d-81a29d3ef5b2","resolution":{"observed_at":"2026-08-06T15:40:59.026374Z","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":"2026-08-06T15:41:06.201944Z","title":"Lassas, Inverse problems for linear and non-linear hyperbolic equations, Proc","venue":null,"work_id":"6dc1c88a-e8a9-494d-ad2f-d7d28c41d61d","year":2018},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.152646Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:7e5d4bf816401e8714e969dcd8f73065ea3254033f82544a927cd3d92badcf87","observation_id":"cc906aa0-8c26-4cf8-bdd3-b556210e16b0","resolution":{"observed_at":"2026-08-06T15:41:06.308761Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.16448","last_updated":"2024-04-25T09:29:14Z","snapshot_observed_at":"2026-07-06T18:05:25.418545Z","submitted_at":"2024-04-25T09:29:14Z","title":"Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds","version":1},"cited_work":{"arxiv_id":"2404.16448","doi":null,"metadata_source":"pith","pith_arxiv_id":"2404.16448","snapshot_observed_at":"2026-08-06T15:41:01.348986Z","title":"Inverse Spectral Problems for Collapsing Manifolds II: Quantitative Stability of Reconstruction for Orbifolds","venue":"math.AP","work_id":"fc7d866e-6f60-41fc-83e7-219c3330fe33","year":2024},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.310233Z"},"links":{"cited_paper":"/paper/2404.16448","citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d6936bca40faa1c9cbb7ea6da4c3181e1d953deca95228e86c1b98bd0b17d2ca","observation_id":"2366f0b7-3c48-4731-a359-3dfe721c27a1","resolution":{"observed_at":"2026-08-06T15:41:01.447020Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:06.094822Z","title":"Laurent, M","venue":null,"work_id":"a13f464d-7af5-4dc4-ac17-2cd7c4501d8e","year":2019},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.440161Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:015d89b991ef2ca6a4b39c9b01a3e310e72e325ea574aefeaa8a52cf97b4f498","observation_id":"afe2e679-dde5-4ac9-8f65-0befabd591b3","resolution":{"observed_at":"2026-08-06T15:41:06.106190Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:05.931988Z","title":"Lu, Graph approximations to the Laplacian spectra, J","venue":null,"work_id":"2cea7658-43d7-4575-86c4-2a3f872db5a5","year":2022},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.595733Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:85c5736d601d9fc4f80314f5651fc2562746d259606f4b312b490d2a7e6c69a0","observation_id":"68891aad-0073-43cc-a874-c880a2357db6","resolution":{"observed_at":"2026-08-06T15:41:06.001302Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:05.699167Z","title":"Montalto, Stable determination of a simple metric, a covector field and a potential from the hyperbolic Dirichlet-to-Neumann map, Comm","venue":null,"work_id":"561cdc40-fc97-437d-a06d-71c9150bd613","year":2014},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.784641Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:f4158a9c99233b45b494824b84cdf5a8ec060fcbe83bb5138899ad0569a9a65c","observation_id":"c0aba877-9949-41ed-8157-cedd5e622ac1","resolution":{"observed_at":"2026-08-06T15:41:05.810054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:05.477777Z","title":"Nachman, J","venue":null,"work_id":"9fcf7ca2-0cf4-4519-a3f4-be5ad5941584","year":1988},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-06T15:40:59.966168Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:bf73e4405cbd26d9c3c09fe76f51a766ed76f2d8a4dbae3d4d200a71832627a7","observation_id":"07a1b826-8045-4389-b4f2-2a10e012c4a8","resolution":{"observed_at":"2026-08-06T15:41:05.576750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:05.328847Z","title":null,"venue":null,"work_id":"f03e46cc-5503-4807-8fb9-83a691a7aa34","year":1988},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.096973Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:df2dab1119be98030a6ff47f55fa499eca3d61e64901338671e14acbdc027a6c","observation_id":"cc9d6336-2c57-4f32-ae8b-d707443d266e","resolution":{"observed_at":"2026-08-06T15:41:05.391553Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:05.159228Z","title":null,"venue":null,"work_id":"474253f0-be72-4510-8758-dfe2f2cd58d5","year":1994},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.192873Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:5926a54573bff173ce139103d525a936f6a96250462bac322bc159c7fc723c94","observation_id":"eb771c26-1a1e-4eb1-a2a6-b314179ba9b6","resolution":{"observed_at":"2026-08-06T15:41:05.229328Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.998039Z","title":"Peters, Convergence of Riemannian manifolds, Compositio Math","venue":null,"work_id":"16ff94a4-43c1-4436-96e0-bb94eea7f7a5","year":1987},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.277210Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:8b5af698b6de8813126bc185ff9f65340cd48a0101fba5de53464b8732247394","observation_id":"fe004281-fcb1-43a4-b04f-fe2a404e3e9d","resolution":{"observed_at":"2026-08-06T15:41:05.071116Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.825786Z","title":"Petersen, Riemannian geometry, 2nd edition, Springer, 2006","venue":null,"work_id":"c830418d-2b46-437b-839c-7bb26bcb254a","year":2006},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.369370Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:48b451a0123f673da16e46a408cb3db4234f0ffea82bd83d35a649dce930c40e","observation_id":"1f4c0aa6-5118-4d2e-bd41-d8cf56ae0036","resolution":{"observed_at":"2026-08-06T15:41:04.908546Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.623884Z","title":"Symes, Uniqueness for an inverse problem for the wave equation, Comm","venue":null,"work_id":"dc016f10-c99f-4ae4-b245-60354e150b8b","year":1988},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.466908Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:ce586623d6f730516e219b4a28639f2612b0d9d14953daaaa427225ce6a242fb","observation_id":"6394e8da-d181-4b07-9643-8ae377ad3f9f","resolution":{"observed_at":"2026-08-06T15:41:04.723992Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.416675Z","title":"Stefanov, G","venue":null,"work_id":"f10b7138-6d34-4aee-8661-1309d41a096c","year":1998},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.550090Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:7d5d453a9f12fc15ac72415b378330a9b213a82c1dcf38c1b76ad5b61c6a1194","observation_id":"7e471632-0566-4bf5-82fb-fc70eeef8007","resolution":{"observed_at":"2026-08-06T15:41:04.505084Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.239135Z","title":"Stefanov, G","venue":null,"work_id":"da724254-f6d6-47e0-82ac-b5d22050ab47","year":2005},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.638612Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:d2d713129314feab2d64d0298d10a0c81e6f82b6b3f9404a09e2fc6fd7c6bef1","observation_id":"d151a16a-6617-4645-8ee1-181ea136737a","resolution":{"observed_at":"2026-08-06T15:41:04.314045Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:04.027216Z","title":"Stefanov, G","venue":null,"work_id":"a2562a2a-e78d-49ec-9647-858f5bed7e52","year":2016},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.728266Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:97cfe03a760e604afb2a3b16209a560be68300f333ae5330fdfdaa4fc8bf9632","observation_id":"672fb03f-ced2-43d6-90ca-59690d4b4adb","resolution":{"observed_at":"2026-08-06T15:41:04.156474Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:03.751083Z","title":"Stefanov, G","venue":null,"work_id":"6a63ddf2-1353-4968-952e-3a6e5bc094e7","year":2016},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.820060Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:5f3aaef5cfe7770ec739a7016ef1f1613d8a0e5ba8c6f81f3aa6431ea4ecac3a","observation_id":"87b8a0d6-b36a-4510-a4d1-83bb6c5d2ea2","resolution":{"observed_at":"2026-08-06T15:41:03.853730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:03.441129Z","title":"Sun, On continuous dependence for an inverse initial boundary value problem for the wave equation, J","venue":null,"work_id":"2e2a2cc5-1b88-406e-a685-091ba7dde5a7","year":1990},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:00.907327Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:bb59910be0f7acfa1ef929a559a3cbd1a591f12b9bb54a0e99822fc624774ac2","observation_id":"a24ad517-d5c1-4792-b1dc-ee5c7069425b","resolution":{"observed_at":"2026-08-06T15:41:03.573206Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:03.149802Z","title":"Sylvester, G","venue":null,"work_id":"e40b888e-a4db-4205-abf3-e2cdbd0810ac","year":1987},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:01.000427Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:6c3125b1ec6181cc48343e4b88f6551ebfc9d0066f515a95831f85238c513ac7","observation_id":"f3ab7e80-ef71-49e5-97a3-00c89d56aba6","resolution":{"observed_at":"2026-08-06T15:41:03.303794Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:02.863555Z","title":"Tataru, Unique continuation for solutions to PDE’s; between H¨ ormander’s theorems and Holmgren’s the- orem, Comm","venue":null,"work_id":"99092e8e-ea1b-43ad-b521-33df2258296a","year":1995},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:01.121628Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:6c97199cc8a02b6ad2f76607ed37c3db40f4fcd3b89fd6a688e5f6e7a8a6162f","observation_id":"977e8467-f135-4f5c-9251-d7efd390ab65","resolution":{"observed_at":"2026-08-06T15:41:02.971194Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-06T15:41:02.672892Z","title":"von Luxburg, A tutorial on spectral clustering, Stat","venue":null,"work_id":"08cf6f5b-53bc-461b-b7ea-e504015d41cb","year":2007},"citing_paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-06T15:41:01.175517Z"},"links":{"citing_paper":"/paper/2507.15560"},"observation_digest":"sha256:47d5e01ae140ee982a42ee1e01252aac33861218179509b3e9534cccc8177898","observation_id":"b5ca6d98-afa9-4f1e-84a1-d21c80f072ff","resolution":{"observed_at":"2026-08-06T15:41:02.758434Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2507.15560","last_updated":"2025-07-21T12:39:38Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-06T15:26:39.333754Z","submitted_at":"2025-07-21T12:39:38Z","title":"Stability of Gel'fand's inverse interior spectral problem for Schr\\\"odinger operators"},"reference_resolution":{"displayed":72,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":14,"verified_exact":4,"verified_fuzzy":54},"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":"2026-08-09T06:31:02.800959+00:00","source":"crossref"},{"observed_at":"2026-08-09T06:30:57.326959+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 1 inbound Pith citation observation for arXiv:2507.15560."}