Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T12:34:41.716120Z
Paper Citation Record · LEDGER
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 4 inbound Pith citation observations for arXiv:2507.21779.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-28T07:11:55.856137Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
40 of 40 outbound references displayed
- verified exact3
- verified fuzzy22
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 3ef84960-366d-47a6-96b1-db526d629a39 · outbound
This paper cites Alzer, On some inequalities for the gamma and psi functions , Mathematics of computations, 66 (1997), pp.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Alzer, On some inequalities for the gamma and psi functions , Mathematics of computations, 66 (1997), pp
Reference 1
- Resolution
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- raw_fallback, observed 2026-08-06T12:34:42.986643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c379b1c0-7631-4e50-b6fa-32a094952025 · outbound
This paper cites Angeles and A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Angeles and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.954572Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eb8583f6-172c-434a-aeba-e401cf2f0d8b · outbound
This paper cites Arora, J.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Arora, J
Reference 3
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fe4a7588-3f4b-42d7-98b2-48193b7ff0eb · outbound
This paper cites Beckner, Sobolev inequalities, the Poisson semigroup, and analysis on the sphere sn., Proceedings of the National Academy of Sciences, 89 (1992), pp.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Beckner, Sobolev inequalities, the Poisson semigroup, and analysis on the sphere sn., Proceedings of the National Academy of Sciences, 89 (1992), pp
Reference 4
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- raw_fallback, observed 2026-08-06T12:34:42.920366Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 69385304-85de-4f07-b8cc-9d809f1d8525 · outbound
This paper cites 1897–1905.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces 1897–1905
Reference 5
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- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.892067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 55103a0a-cfdf-4e81-a3ed-39916b267f77 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.860650Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b997d600-d672-4c1d-9af2-d8b641c1c1d9 · outbound
This paper cites Brasco, D.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Brasco, D
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.833222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c3015175-03f8-4d2c-8b7a-c4e645b9682d · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.804727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f25f4e8a-eb6a-453b-be57-dd1b034bb163 · outbound
This paper cites Fractional $Q$-curvature on the sphere and optimal partitions.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Fractional $Q$-curvature on the sphere and optimal partitions
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T12:34:41.913019Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e16fc599-1233-406f-9b5e-29eca6343764 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.775434Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 31dd888a-b8d3-4986-a4db-15f4c45c7ed2 · outbound
This paper cites Chen, On m-order logarithmic Laplacians and the applications , Analysis and Applications, (2025), pp.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Chen, On m-order logarithmic Laplacians and the applications , Analysis and Applications, (2025), pp
Reference 11
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- raw_fallback, observed 2026-08-06T12:34:42.748583Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 27008a04-9a08-42d3-bac2-d425dac2b9d8 · outbound
This paper cites An extension problem for the logarithmic Laplacian.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces An extension problem for the logarithmic Laplacian
Reference 12
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- unresolved
- no resolver link, observed 2026-08-06T12:34:41.571078Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 100acb69-947b-4fd5-a4b7-1ac33e68c636 · outbound
This paper cites Chen and L.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Chen and L
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.726687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d7c5d3f6-877b-44b1-8e24-a0fd22b713ed · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 14
- Resolution
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- raw_fallback, observed 2026-08-06T12:34:42.705551Z
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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f761246e-e05d-473c-b4a9-e52367397d4b · outbound
This paper cites Chen and T.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Chen and T
Reference 15
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- raw_fallback, observed 2026-08-06T12:34:42.687151Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9b7be800-210f-4cf4-af0a-79a6d07221f5 · outbound
This paper cites On positive solutions of critical semilinear equations involving the Logarithmic Laplacian.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces On positive solutions of critical semilinear equations involving the Logarithmic Laplacian
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T12:34:41.852088Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e9f4d6b1-58d5-45bb-aadd-5e7e1be6d770 · outbound
This paper cites Logarithmic Laplacian on General Riemannian Manifolds.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Logarithmic Laplacian on General Riemannian Manifolds
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:34:41.604371Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a884bc1-d827-4013-aa1a-a1b660e4eb3b · outbound
This paper cites Clapp, J.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Clapp, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.665320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d6fd6dda-068f-46d9-86c7-ccc7646cd59c · outbound
This paper cites Clapp, A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Clapp, A
Reference 19
- Resolution
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- raw_fallback, observed 2026-08-06T12:34:42.643795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b3f6a533-52d8-445b-91e0-6adc495bf692 · outbound
This paper cites Correa and A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Correa and A
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.620355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 76401c3b-8acd-40e1-b224-3bcb92195a08 · outbound
This paper cites del Mar Gonz ´alez, Recent Progress on the Fractional Laplacian in Conformal Geometry , De Gruyter Open Poland, Warsaw, Poland, 2017, pp.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces del Mar Gonz ´alez, Recent Progress on the Fractional Laplacian in Conformal Geometry , De Gruyter Open Poland, Warsaw, Poland, 2017, pp
Reference 21
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- raw_fallback, observed 2026-08-06T12:34:42.584991Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 03d4ae3c-510b-420a-943a-cd28b41a45d3 · outbound
This paper cites The Dirichlet Problem For the Logarithmic p-Laplacian.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces The Dirichlet Problem For the Logarithmic p-Laplacian
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T12:34:41.777023Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation b578af5b-fa0c-430b-8ac2-170c4a2d7d3c · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.551715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 418b7d24-4b3d-478b-b825-298197af6d70 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.520827Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7bcbb825-5b19-471b-9fa2-e94d52a9e08e · outbound
This paper cites Frank, E.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Frank, E
Reference 25
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- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.499573Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 75f877a0-1ae0-4f2e-a665-3f21d4def557 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.470502Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 64289dac-7b2c-43fd-a2ea-a4883175f152 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.449234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5e86249b-b278-42b9-b1fd-915d00d585ca · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.422235Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4b4e27e0-7208-4314-9611-c4b71af732f4 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 29
- Resolution
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- raw_fallback, observed 2026-08-06T12:34:42.398725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ef3d5de2-1258-488a-bdad-79604310a7eb · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 30
- Resolution
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- raw_fallback, observed 2026-08-06T12:34:42.378850Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 40d6cb66-3d1b-426f-a7d8-b04cbb06b78f · outbound
This paper cites Hern ´andez-Santamar´ıa, S.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Hern ´andez-Santamar´ıa, S
Reference 31
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- raw_fallback, observed 2026-08-06T12:34:42.334485Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2a957991-19ec-498e-b156-c5b582ce854d · outbound
This paper cites Hern ´andez-Santamar´ıa, L.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Hern ´andez-Santamar´ıa, L
Reference 32
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- raw_fallback, observed 2026-08-06T12:34:42.304212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e1b2caf7-ebb9-4076-bb53-d0f077d6b145 · outbound
This paper cites Hern´andez Santamar´ıa and A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Hern´andez Santamar´ıa and A
Reference 33
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- raw_fallback, observed 2026-08-06T12:34:42.271993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 900f7a42-e31d-4dcf-a86e-4a510de7fa54 · outbound
This paper cites Jarohs, A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Jarohs, A
Reference 34
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- raw_fallback, observed 2026-08-06T12:34:42.249132Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation de19a7d1-db1f-4eeb-9542-1b9d0a5bb51f · outbound
This paper cites Jarohs, A.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Jarohs, A
Reference 35
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- raw_fallback, observed 2026-08-06T12:34:42.222504Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e6934e31-bd47-4c31-b55a-cb8d05b76736 · outbound
This paper cites Laptev and T.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Laptev and T
Reference 36
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- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.192865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a23a29a2-aad4-404e-a1d9-39650004fb6c · outbound
This paper cites Pollastro and N.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Pollastro and N
Reference 37
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- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.172314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9762d917-7959-4f08-82ad-a2bebb323052 · outbound
This paper cites an unresolved cited work.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T12:34:42.139075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation cdda28a0-c2c2-4b1e-8f30-7bfcb4ecdd3e · outbound
This paper cites Weiyue, On a conformally invariant elliptic equation on Rn, Commun.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Weiyue, On a conformally invariant elliptic equation on Rn, Commun
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.110529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c5e9e3cf-c294-4b2e-90bc-6ec5044e3333 · outbound
This paper cites Yafaev, Sharp constants in the Hardy–Rellich inequalities , Journal of Functional Analysis, 168 (1999), pp.
The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces Yafaev, Sharp constants in the Hardy–Rellich inequalities , Journal of Functional Analysis, 168 (1999), pp
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T12:34:42.088067Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 43345ffc-f0c7-416f-8ec6-ae0115c32de6 · inbound
The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues cites this paper.
The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-16T07:02:28.909877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7ec65f8c-0ede-4d24-a061-f5eb08b98fad · inbound
$s$-harmonic functions in the small order limit cites this paper.
$s$-harmonic functions in the small order limit The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-08T22:59:24.028044Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 338891bd-8f8e-4fc0-b381-629420b156f8 · inbound
Spectral Properties of the Logarithmic Laplacian with Indefinite Weights cites this paper.
Spectral Properties of the Logarithmic Laplacian with Indefinite Weights The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-14T18:07:33.719326Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fa4cc0eb-1cab-45c3-98c0-63b640891dcc · inbound
On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians cites this paper.
On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T07:06:44.084968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.