Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T17:40:03.330133Z
Paper Citation Record · LEDGER
Sharp bounds on the failure of the hot spots conjecture
As of 14 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2508.16321.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-23T06:56:12.829350Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T06:57:40.382227Z
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy25
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f798b148-54a8-49d8-94aa-3d84e7e4c6af · outbound
This paper cites On N eumann eigenfunctions in lip domains.
Sharp bounds on the failure of the hot spots conjecture On N eumann eigenfunctions in lip domains
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:10.105272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de516be9-7c04-453e-90eb-417cb758dc77 · outbound
This paper cites On the hot spots conjecture of J.
Sharp bounds on the failure of the hot spots conjecture On the hot spots conjecture of J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.910094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e9a679f3-4ec8-4f6f-ae2f-2e96e5aaab9f · outbound
This paper cites The principal eigenvalue and maximum principle for second-order elliptic operators in general domains.
Sharp bounds on the failure of the hot spots conjecture The principal eigenvalue and maximum principle for second-order elliptic operators in general domains
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.764297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e900aba-ee27-4a95-b8c7-ab7520d730b6 · outbound
This paper cites Sharp stability of some spectral inequalities.
Sharp bounds on the failure of the hot spots conjecture Sharp stability of some spectral inequalities
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.588723Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 461ffe03-479e-48dc-a7b1-3e69d518923c · outbound
This paper cites The hot spots problem in planar domains with one hole.
Sharp bounds on the failure of the hot spots conjecture The hot spots problem in planar domains with one hole
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.404356Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 27098fb8-bd1d-4825-88bc-f338d07e629a · outbound
This paper cites A counterexample to the `` H ot spots" conjecture.
Sharp bounds on the failure of the hot spots conjecture A counterexample to the `` H ot spots" conjecture
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.215784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 813e9665-4aff-47f9-8f3b-ea42dc424dba · outbound
This paper cites Monotone properties of the eigenfunction of N eumann problems.
Sharp bounds on the failure of the hot spots conjecture Monotone properties of the eigenfunction of N eumann problems
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:09.051469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 7b44b3d6-27dd-44b1-ab7c-6b8793723fea · outbound
This paper cites Le probleme de la passoire de N eumann.
Sharp bounds on the failure of the hot spots conjecture Le probleme de la passoire de N eumann
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:08.835237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 8db2d7d2-489a-4850-9fca-c892c9f7c96e · outbound
This paper cites Convex sets can have interior hot spots.
Sharp bounds on the failure of the hot spots conjecture Convex sets can have interior hot spots
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T17:40:01.173972Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bcc9b72c-bac0-4915-964b-7cc84e0ebfd9 · outbound
This paper cites Del Vecchio.
Sharp bounds on the failure of the hot spots conjecture Del Vecchio
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:08.510309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f833e159-c20c-4a35-bf03-1a33ee62eca7 · outbound
This paper cites The nodal surface of the second eigenfunction of the L aplacian in R ^D can be closed.
Sharp bounds on the failure of the hot spots conjecture The nodal surface of the second eigenfunction of the L aplacian in R ^D can be closed
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:08.214988Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b2efa0c3-e87c-4dff-a66c-897a62485bfe · outbound
This paper cites Hoffmann-Ostenhof, T.
Sharp bounds on the failure of the hot spots conjecture Hoffmann-Ostenhof, T
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:07.998881Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6a71f38d-f09a-47ba-ad1b-0acda4712f91 · outbound
This paper cites Euclidean triangles have no hot spots.
Sharp bounds on the failure of the hot spots conjecture Euclidean triangles have no hot spots
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:07.694577Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1e4c7b84-ed85-49c2-939e-2c8f7b1950bb · outbound
This paper cites Erratum: E uclidean triangles have no hot spots.
Sharp bounds on the failure of the hot spots conjecture Erratum: E uclidean triangles have no hot spots
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:07.407945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation adbcd0c5-1c45-4330-9e71-4cdda4f9db75 · outbound
This paper cites hot spots.
Sharp bounds on the failure of the hot spots conjecture hot spots
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:07.056141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 62314038-7eb0-4386-86aa-dd54649f53a4 · outbound
This paper cites Rearrangements and C onvexity of L evel S ets in PDE , volume 1150 of Lecture Notes in Mathematics.
Sharp bounds on the failure of the hot spots conjecture Rearrangements and C onvexity of L evel S ets in PDE , volume 1150 of Lecture Notes in Mathematics
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:06.716621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 957f5c04-98bb-471d-874c-044bf28ad20c · outbound
This paper cites an unresolved cited work.
Sharp bounds on the failure of the hot spots conjecture Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T17:40:06.481893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation f4f367f6-4b3b-4064-b9ad-1e840e5a666b · outbound
This paper cites The N eumann sieve problem revisited.
Sharp bounds on the failure of the hot spots conjecture The N eumann sieve problem revisited
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:06.208024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation abd7dbf9-2fcd-44cc-960b-1fa2d32ca112 · outbound
This paper cites The hot spots conjecture can be false: S ome numerical examples.
Sharp bounds on the failure of the hot spots conjecture The hot spots conjecture can be false: S ome numerical examples
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:05.935612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 65f6c2f2-6ac1-4a14-86d1-5f36ee096317 · outbound
This paper cites On the hot spots conjecture in higher dimensions.
Sharp bounds on the failure of the hot spots conjecture On the hot spots conjecture in higher dimensions
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T17:40:02.390583Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fa26011-8f36-4ee8-9488-07090439a846 · outbound
This paper cites Location of hot spots in thin curved strips.
Sharp bounds on the failure of the hot spots conjecture Location of hot spots in thin curved strips
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:05.603616Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 12548a49-ea5e-4218-9b78-ad0cf91f48a0 · outbound
This paper cites Improved upper bounds for the H ot S pots constant of L ipschitz domains.
Sharp bounds on the failure of the hot spots conjecture Improved upper bounds for the H ot S pots constant of L ipschitz domains
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:05.280228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1312e66d-0c75-4ab4-bf06-00b390bf259c · outbound
This paper cites The second boundary value problem in regions with a complex boundary.
Sharp bounds on the failure of the hot spots conjecture The second boundary value problem in regions with a complex boundary
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:04.974133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 468eb31f-eb94-4146-92fd-5141d5a65aa8 · outbound
This paper cites Scaling coupling of reflecting B rownian motions and the hot spots problem.
Sharp bounds on the failure of the hot spots conjecture Scaling coupling of reflecting B rownian motions and the hot spots problem
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:04.716179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 67b0f902-8f6c-496f-85ac-da2b8c4a5e0f · outbound
This paper cites Lecture \#1.
Sharp bounds on the failure of the hot spots conjecture Lecture \#1
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:04.417409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 51543ed7-9cfb-4a33-bd79-8c4a3633e666 · outbound
This paper cites An upper bound on the hot spots constant.
Sharp bounds on the failure of the hot spots conjecture An upper bound on the hot spots constant
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:04.052206Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 79a5d7d0-2c66-4523-9bf1-771d8f52a812 · outbound
This paper cites High-dimensional probability: A n introduction with applications in data science , volume 47.
Sharp bounds on the failure of the hot spots conjecture High-dimensional probability: A n introduction with applications in data science , volume 47
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:03.799714Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1a8e0bf3-967d-4069-b274-5749b3f92724 · outbound
This paper cites The hot spots conjecture on a class of domains in R ^n with n 3.
Sharp bounds on the failure of the hot spots conjecture The hot spots conjecture on a class of domains in R ^n with n 3
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T17:40:03.508154Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
Observation 5bbd2b30-2702-47da-8a06-f934fa3300b1 · inbound
The hot spots conjecture on Gaussian spaces cites this paper.
The hot spots conjecture on Gaussian spaces Sharp bounds on the failure of the hot spots conjecture
Reference 37
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T06:57:40.384706Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.