Paper Citation Record · LEDGER

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms

As of 22 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2607.17882.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.17882 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:48:13.002781Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy26
unresolved13
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External citation measurements

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Outbound references

Observation 9eb660b7-a616-4b1d-9829-223963007284 · outbound

This paper cites Ashbaugh, H.A.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Ashbaugh, H.A

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.495886Z

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 ee821a3f-245e-4f92-8388-de9ba89fc914 · outbound

This paper cites Atar, K.Burdzy, On Neumann eigenfunctions in lip domains, J.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Atar, K.Burdzy, On Neumann eigenfunctions in lip domains, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.482896Z

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 9c5050ca-cf6f-4f53-915a-549d5d7c9dd9 · outbound

This paper cites Baginski, Upper and lower bounds for eigenvalues of the Laplacian on a spherical cap, Quart.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Baginski, Upper and lower bounds for eigenvalues of the Laplacian on a spherical cap, Quart

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.469909Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 11f1523b-73fa-45ec-aeed-35e844fc5535 · outbound

This paper cites hot spots.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms hot spots

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.457097Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 04185ae9-ff7c-4011-b895-023798d8fe78 · outbound

This paper cites hot spots.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms hot spots

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.442586Z

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 a6fced99-62fa-4e71-ba0a-15fd9cc2945d · outbound

This paper cites Burdzy, The hot spots problem in planar domains with one hole, Duke Math.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Burdzy, The hot spots problem in planar domains with one hole, Duke Math

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.430361Z

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 daaf0998-d9d1-41d8-acb6-53950028d0fe · outbound

This paper cites Chavel, Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics, 115.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Chavel, Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics, 115

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.417789Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bfb72d57-5a26-4298-966b-fb417290845e · outbound

This paper cites Chen, C.F.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Chen, C.F

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.881556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bae85d3d-31d9-4020-a332-67f323b911b5 · outbound

This paper cites an unresolved cited work.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:48:13.396196Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a43cc7a6-a2ca-43b6-bdc0-bc23d6c22ce5 · outbound

This paper cites an unresolved cited work.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:48:13.380549Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 188760c0-bd9e-4eb5-8823-3bc61910d0eb · outbound

This paper cites Cheng, Eigenfunctions and nodal sets, Comment.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Cheng, Eigenfunctions and nodal sets, Comment

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.365027Z

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 37fac4ba-ee81-4d51-9c0a-567306699540 · outbound

This paper cites Convex sets can have interior hot spots.

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

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Unavailable: canonical work link unavailable.

Observation a2bc778c-a7cd-4ee3-a2ea-4e56b0d400c1 · outbound

This paper cites Sharp bounds on the failure of the hot spots conjecture.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Sharp bounds on the failure of the hot spots conjecture

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.897905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7b3e4a8-545f-4fd9-ab6d-765c1326e532 · outbound

This paper cites an unresolved cited work.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:48:13.352069Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 24b485e8-7acc-4b18-8af5-334889ebdc9c · outbound

This paper cites Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.907390Z

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Unavailable: canonical work link unavailable.

Observation eec19adc-0c83-4fb9-8c5c-6dff5f922231 · outbound

This paper cites Hartman, A.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Hartman, A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.340491Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e379a589-bf5e-428e-95cd-0ee58cfaf0a2 · outbound

This paper cites Hot spots in convex hyperbolic planar domains with small eigenvalues.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Hot spots in convex hyperbolic planar domains with small eigenvalues

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:48:13.052980Z

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 459bbf9f-7b96-4d87-ab3f-f4db6fe848b7 · outbound

This paper cites Hatcher, The hot spots conjecture for some non-convex polygons, SIAM J.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Hatcher, The hot spots conjecture for some non-convex polygons, SIAM J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.329481Z

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 937fba13-3d56-47d8-b031-036c90d77227 · outbound

This paper cites Hatcher, First mixed Laplace eigenfunctions with no hot spots, Proc.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Hatcher, First mixed Laplace eigenfunctions with no hot spots, Proc

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.924964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 797b9c24-d4f6-4403-be7f-53d049a45ba1 · outbound

This paper cites hot spots.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms hot spots

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.311801Z

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 4d025934-2a2e-4862-a947-6d27d95441f0 · outbound

This paper cites Judge, S.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Judge, S

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.933577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be2fd52d-edff-45bd-a200-e060f4836d2e · outbound

This paper cites Judge, S.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Judge, S

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.937235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b6de0c5-9e76-43c8-8e7b-afab96ea845a · outbound

This paper cites Judge, S.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Judge, S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.285595Z

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 e1f683a5-649c-438b-b0bc-84a70615f9cd · outbound

This paper cites Judge, S.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Judge, S

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.274568Z

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 801fa4b1-8a9c-461f-90a8-db96c7fbec65 · outbound

This paper cites Kawohl, Rearrangements and Convexity of Level Set in PDE, Lecture Notes in Mathe- matics, vol.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Kawohl, Rearrangements and Convexity of Level Set in PDE, Lecture Notes in Mathe- matics, vol

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.261878Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9844f621-46d7-4ed0-a645-ee2ad0d7998f · outbound

This paper cites Kennedy, J.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Kennedy, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.250177Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 78906414-1ac2-4e39-b348-9319e486a652 · outbound

This paper cites Kleefeld, The hot spots conjecture can be false: some numerical examples, Adv.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Kleefeld, The hot spots conjecture can be false: some numerical examples, Adv

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.239393Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5aa73cf1-b0f5-4c38-a89e-322359a5efde · outbound

This paper cites Langford, R.S.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Langford, R.S

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.229493Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18bfc1e4-2342-426f-b3a8-3d948f621773 · outbound

This paper cites Laugesen, B.A.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Laugesen, B.A

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.219198Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e558fe1c-7dd1-485f-9b7b-a1799ca02aff · outbound

This paper cites Mariano,H.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Mariano,H

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.206810Z

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 d13eec7d-7986-4ad4-abcb-58e94346ed9d · outbound

This paper cites Mazzeo, Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues, Internat.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Mazzeo, Remarks on a paper of Friedlander concerning inequalities between Neumann and Dirichlet eigenvalues, Internat

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.195123Z

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 6e791f08-5d5a-4269-ac4d-8357f519ccce · outbound

This paper cites hot spots.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms hot spots

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.183956Z

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 25969fea-572d-49fa-8592-49e0cfc3fa94 · outbound

This paper cites an unresolved cited work.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:48:13.172502Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41c5f0e4-0a4a-4583-a5f9-f82886f6d025 · outbound

This paper cites https://polymathprojects.org/2013/08/09/polymath7-research- thread-5-the-hot-spots-conjecture/.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms https://polymathprojects.org/2013/08/09/polymath7-research- thread-5-the-hot-spots-conjecture/

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.159878Z

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 e593d82d-5f4c-4245-8101-8d45c91a52f2 · outbound

This paper cites an unresolved cited work.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:48:13.147885Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fb9bc75a-7b2b-4334-a917-5a0996600fc2 · outbound

This paper cites A new approach to the hot spots conjecture.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms A new approach to the hot spots conjecture

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T15:48:12.988624Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97e5a18d-bad7-4adf-b3f4-7c8ff8d6bf36 · outbound

This paper cites Rohleder, A note on hot-spots free subregions of convex domains, Complex Anal.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Rohleder, A note on hot-spots free subregions of convex domains, Complex Anal

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.137305Z

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 cb0433cb-d08f-4296-9f73-05bdf157db12 · outbound

This paper cites Siudeja, Hot spots conjecture for a class of acute triangles, Math.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Siudeja, Hot spots conjecture for a class of acute triangles, Math

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.127299Z

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 9741bb91-7f86-4c11-8064-b08f7d934ddc · outbound

This paper cites Steinerberger, Hot spots in convex domains are in the tips (up to an inradius), Comm.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Steinerberger, Hot spots in convex domains are in the tips (up to an inradius), Comm

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.115261Z

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 eab6d57d-2fb8-4bbc-8a57-288ff5eed612 · outbound

This paper cites Steinerberger, An upper bound on the hot spots constant, Rev.

Critical points of second Neumann eigenfunctions on some convex domains in two-dimensional space forms Steinerberger, An upper bound on the hot spots constant, Rev

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:48:13.101641Z

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.

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