Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:57:46.147587Z
Paper Citation Record · LEDGER
Convex sets can have interior hot spots
As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 5 inbound Pith citation observations for arXiv:2412.06344.
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 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:52:13.650464Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T06:57:40.386619Z
Reference resolution
22 of 22 outbound references displayed
- verified exact0
- verified fuzzy17
- unresolved5
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation fce77517-5fd7-4415-a892-1cfe4e0aeb76 · outbound
This paper cites On neumann eigenfunctions in lip domains.
Convex sets can have interior hot spots On neumann eigenfunctions in lip domains
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.530273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation a3385d54-1961-4ccb-b36b-f349b7bf67ff · outbound
This paper cites On the hot spots conjecture of J.
Convex sets can have interior hot spots On the hot spots conjecture of J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.513856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4b92684f-82ec-496a-ba6c-e44eb98ac47a · outbound
This paper cites The hot spots problem in planar domains with one hole.
Convex sets can have interior hot spots The hot spots problem in planar domains with one hole
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T19:57:46.039414Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61e15acb-f89d-4072-b49f-31faec3a7fb9 · outbound
This paper cites A counterexample to the `` H ot spots" conjecture.
Convex sets can have interior hot spots A counterexample to the `` H ot spots" conjecture
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.486580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4b6bc89f-663c-4693-a646-a01e09d53fba · outbound
This paper cites Monotone properties of the eigenfunction of neumann problems.
Convex sets can have interior hot spots Monotone properties of the eigenfunction of neumann problems
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.469935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation de828f00-de56-4762-87d5-857e0f161ee0 · outbound
This paper cites Parabolic theory as a high-dimensional limit of elliptic theory.
Convex sets can have interior hot spots Parabolic theory as a high-dimensional limit of elliptic theory
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.452735Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d0a79823-2972-45be-8004-1332a4e744fd · outbound
This paper cites The two hyperplane conjecture.
Convex sets can have interior hot spots The two hyperplane conjecture
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.435718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 3d419ce1-df1d-47dc-9a5c-8b0c9bae089f · outbound
This paper cites Euclidean triangles have no hot spots.
Convex sets can have interior hot spots Euclidean triangles have no hot spots
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T19:57:46.072681Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ac3083b-128d-43a2-adad-beffe6844957 · outbound
This paper cites Erratum: Euclidean triangles have no hot spots.
Convex sets can have interior hot spots Erratum: Euclidean triangles have no hot spots
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.408086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0441c658-f20f-404d-89ce-261d7d2fc90d · outbound
This paper cites hot spots.
Convex sets can have interior hot spots hot spots
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T19:57:46.084549Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e8f913a-26ae-46a1-aabe-a55d75daa2fe · outbound
This paper cites Rearrangements and Convexity of Level Sets in PDE , volume 1150 of Lecture Notes in Mathematics.
Convex sets can have interior hot spots Rearrangements and Convexity of Level Sets in PDE , volume 1150 of Lecture Notes in Mathematics
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.378273Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 162ca08d-7538-40e4-beaf-bb7e0cc88555 · outbound
This paper cites Kennedy and Jonathan Rohleder.
Convex sets can have interior hot spots Kennedy and Jonathan Rohleder
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.360911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 4737851b-ba39-4e57-a0bc-a13580bfd89a · outbound
This paper cites On the parabolic kernel of the schrödinger operator.
Convex sets can have interior hot spots On the parabolic kernel of the schrödinger operator
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.341580Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation dae37516-b2cc-4f7c-a847-7e6925ad091e · outbound
This paper cites Improved upper bounds for the hot spots constant of lipschitz domains.
Convex sets can have interior hot spots Improved upper bounds for the hot spots constant of lipschitz domains
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.324050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation db6dcf56-aa05-499d-ba67-d2c681bee12c · outbound
This paper cites Consistent inference for diffusions from low frequency measurements.
Convex sets can have interior hot spots Consistent inference for diffusions from low frequency measurements
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.306334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d8952f43-5088-4711-afa1-92a1d3b3701e · outbound
This paper cites Scaling coupling of reflecting brownian motions and the hot spots problem.
Convex sets can have interior hot spots Scaling coupling of reflecting brownian motions and the hot spots problem
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.289728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c2c5690d-f803-44bf-85bb-a117e02e8c2b · outbound
This paper cites The entropy formula for the Ricci flow and its geometric applications.
Convex sets can have interior hot spots The entropy formula for the Ricci flow and its geometric applications
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T19:57:46.120338Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4fb7c884-83eb-4fd4-929b-37c55d055051 · outbound
This paper cites Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds.
Convex sets can have interior hot spots Supercontractivity and ultracontractivity for (nonsymmetric) diffusion semigroups on manifolds
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.272437Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 24d4fe04-3d7c-4c84-b96b-96fccb01d675 · outbound
This paper cites An upper bound on the hot spots constant.
Convex sets can have interior hot spots An upper bound on the hot spots constant
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T19:57:46.131777Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41d87d54-6c2f-4c38-91e7-bfb66bfa49b6 · outbound
This paper cites Stochastic differential equations with reflecting.
Convex sets can have interior hot spots Stochastic differential equations with reflecting
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.242372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e3b79427-b6a8-4aad-a14b-c5b4c8cf5f7f · outbound
This paper cites Dimension-free harnack inequality and its applications.
Convex sets can have interior hot spots Dimension-free harnack inequality and its applications
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.222171Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5bd2507f-d21e-4071-a7a4-be997b3df6d5 · outbound
This paper cites The hot spots conjecture on a class of domains in R^n with n 3.
Convex sets can have interior hot spots The hot spots conjecture on a class of domains in R^n with n 3
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T19:57:46.205175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
Observation aedd17c7-a8f3-43ad-88a4-39fe759b7365 · inbound
The hot spots conjecture on Gaussian spaces cites this paper.
The hot spots conjecture on Gaussian spaces Convex sets can have interior hot spots
Reference 36
- Resolution
- verified exact
- arxiv_id, observed 2026-05-23T06:57:40.388710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 8f4b73c9-3b6d-4df5-b084-8a20f3284223 · inbound
Potential Theory and the Boundary of Combinatorial Graphs cites this paper.
Potential Theory and the Boundary of Combinatorial Graphs Convex sets can have interior hot spots
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:52:13.650464Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aaae72fe-3ec5-454e-b99f-688269062225 · inbound
Hot spots in domains of constant curvature cites this paper.
Hot spots in domains of constant curvature Convex sets can have interior hot spots
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T19:08:28.294755Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8db2d7d2-489a-4850-9fca-c892c9f7c96e · inbound
Sharp bounds on the failure of the hot spots conjecture cites this paper.
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 37fac4ba-ee81-4d51-9c0a-567306699540 · inbound
Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms cites this paper.
Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Convex sets can have interior hot spots
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T15:48:12.894368Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.