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Paper Citation Record · LEDGER

Hot spots in domains of constant curvature

As of 23 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2508.13353.

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

pith.paper-citation-record.v1
2508.13353 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T19:08:29.234749Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T06:56:12.829350Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-23T06:57:40.400684Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact3
  • verified fuzzy13
  • unresolved12
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fba60982-3512-4ac7-92f7-18330032ac04 · outbound

This paper cites On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions.

Hot spots in domains of constant curvature On the first eigenvalue and eigenfunction of the Laplacian with mixed boundary conditions

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-05T19:08:31.294756Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.024846Z digest=sha256:420a947304b1d2ccca93edde4766d449c68b195eb49857d0d313916fc1b1b47a

Observation a53a23ab-5dbe-4b19-aafa-ef1e73abe2ba · outbound

This paper cites Atar and K.

Hot spots in domains of constant curvature Atar and K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:38.620297Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.184753Z digest=sha256:e38c09cefae97be2b8013202c25e1bbfad89df96787ee0b02417a027b26b3567

Observation 1106d4a1-e46c-417a-99ab-34a20fba8e92 · outbound

This paper cites Hot Spots.

Hot spots in domains of constant curvature Hot Spots

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:38.304749Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.304832Z digest=sha256:abd610aaafa9c4317ae87d488e4360edecc51e586617a6b7b68de26f2c2caa1e

Observation 258c70c0-0d76-4905-88fc-e41d6e803e41 · outbound

This paper cites Burdzy and W.

Hot spots in domains of constant curvature Burdzy and W

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:38.030534Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.454836Z digest=sha256:3955e0e9cd9d6059a73cfe6b68f828dbb61f26711570de2e3178ab90ba646bc4

Observation 5e612a16-c3cd-465d-8a64-f7a201274a6a · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:37.740702Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.634744Z digest=sha256:a78a46d428c3f5ee283e75f98e2e07890fe8e70c7673fbb881402005a01afedf

Observation adcba03e-d4e1-4ed3-a1a9-f8a712da1b6d · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 6

Resolution
verified exact
raw_fallback, observed 2026-08-05T19:08:30.904750Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.844752Z digest=sha256:4262b98d95169e4d7343b4836ec0a986726b8ca7743943052959fd4b599f0a77

Observation 556e3467-0e7a-4188-bdd4-788f59ca402c · outbound

This paper cites ``Eigenfunctions and nodal sets." Commentarii Mathematici Helvetici 51 (1976): 43-55.

Hot spots in domains of constant curvature ``Eigenfunctions and nodal sets." Commentarii Mathematici Helvetici 51 (1976): 43-55

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:37.403698Z

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.

source=arxiv_source observed=2026-08-05T19:08:25.944751Z digest=sha256:3619c2d64d13442d85209ed6b4d46b240f90bda4192d348ea323b016e3492011

Observation f6e97bc9-284c-43b7-8c7f-6c7ac326c673 · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:37.064750Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.116764Z digest=sha256:e7c83d6f0e7b542f165fed816d26d0b71d1f5a3b32944f389ca26d42f1cc7735

Observation 2752a896-35a2-4e67-a645-45959bb15b8f · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:36.724741Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.364754Z digest=sha256:b88af08b04332c7bbe9c149c1701e9d824a7c237012b471acff6383620b46596

Observation fae8bafa-9f99-4299-b2ac-e59ee345e336 · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:36.516379Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.474756Z digest=sha256:60a8d90f53e6079dbaf6a25c5d202aebb28d85792595850c00989fff3d0b7d14

Observation 0016d251-b993-4fea-b486-71ead8f6bff0 · outbound

This paper cites A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region.

Hot spots in domains of constant curvature A hot spots theorem for the mixed eigenvalue problem with small Dirichlet region

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-05T19:08:30.354753Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.664757Z digest=sha256:89e5aef151723053963ef2038023a48a2cb9531d6df289457da58b5e7428f51e

Observation ab580861-eeab-4753-b2d1-10e85607a06a · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:36.253349Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.796668Z digest=sha256:a01d3cf748e61fc510f4021269c75ccc9c666f78c748a02c13ec54c198a2dad7

Observation ac456ac8-fd0c-484c-b8e4-232a2014f005 · outbound

This paper cites Jerison and N.

Hot spots in domains of constant curvature Jerison and N

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:35.904751Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.904753Z digest=sha256:8bad512a02d2b5570209f60a6e16e6cc4e217a24bbcdb2c14474d229924837d2

Observation 2d434154-aeeb-44e1-8342-762d35d4a382 · outbound

This paper cites Judge and S.

Hot spots in domains of constant curvature Judge and S

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:35.526773Z

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.

source=arxiv_source observed=2026-08-05T19:08:26.995289Z digest=sha256:90672f608ec1e1c570ac0d5332fbc5ed89e4b49535e929a0f61044cd4efe70f4

Observation 55587f9f-d9a2-4ff9-8f20-43d191fcd201 · outbound

This paper cites Judge and S.

Hot spots in domains of constant curvature Judge and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:35.129642Z

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.

source=arxiv_source observed=2026-08-05T19:08:27.114753Z digest=sha256:3b18dc1b0860f10acd2cc69f9d23c44f543f3ce53a20557160153d1118aada81

Observation 858221f5-7c90-4d49-9427-e7e86eaf03de · outbound

This paper cites Judge and S.

Hot spots in domains of constant curvature Judge and S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:34.723794Z

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.

source=arxiv_source observed=2026-08-05T19:08:27.250317Z digest=sha256:0d6b772d9c07e57370e4d0a93b586ab48f5340e12e719d247a768e11f913b12c

Observation 0f6f1481-6645-4f32-a28b-ae466b8602a3 · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:34.347624Z

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.

source=arxiv_source observed=2026-08-05T19:08:27.353096Z digest=sha256:ca45d116541ef688f14f834b9bfec7d6228c6e02c6d337f0bcbf4ef3dea7867b

Observation 55679f03-a853-4695-8ef3-5f05256c4b22 · outbound

This paper cites On the hot spots conjecture in higher dimensions.

Hot spots in domains of constant curvature On the hot spots conjecture in higher dimensions

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-05T19:08:27.504837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T19:08:27.504837Z digest=sha256:97691cd4b70f419a297ade2b0fb09cc96d2a9d12acb216855a90239f78e16e67

Observation f83921e8-5ee5-4066-9bae-82d544fe1b6d · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:33.944753Z

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.

source=arxiv_source observed=2026-08-05T19:08:27.654846Z digest=sha256:2c9cd6c043195c892aa2d72b7620bb1459bf1cbcfa5f0a1df076351608d60c2e

Observation c915000e-d2d5-459e-be8f-a1febb75f58c · outbound

This paper cites Li and R.

Hot spots in domains of constant curvature Li and R

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-05T19:08:27.801768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T19:08:27.801768Z digest=sha256:a6f9c6b4725ebfd22a797eb9e059cbcee2e6d2751f8d78623005211e4770eb95

Observation 9270ff0c-515a-44b4-9342-843fa3d40bdd · outbound

This paper cites Eigenvalue inequalities for the Laplacian with mixed boundary conditions.

Hot spots in domains of constant curvature Eigenvalue inequalities for the Laplacian with mixed boundary conditions

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:33.530309Z

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.

source=arxiv_source observed=2026-08-05T19:08:27.984758Z digest=sha256:e34f8ebaa5a606a51c81cf0994a4f4d4f707ef831af1d9a5edecb004f4dee62e

Observation 76695bef-ccfa-4fc2-921b-5d3a8cfd3bc6 · outbound

This paper cites Miyamoto (2009).

Hot spots in domains of constant curvature Miyamoto (2009)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:33.164751Z

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.

source=arxiv_source observed=2026-08-05T19:08:28.134755Z digest=sha256:ca9da1736920c8ab48d0ccdb5589c0f7df873cabea3243bae22aaac3ccc1dff0

Observation aaae72fe-3ec5-454e-b99f-688269062225 · outbound

This paper cites Convex sets can have interior hot spots.

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.

source=arxiv_source observed=2026-08-05T19:08:28.294755Z digest=sha256:b2a7be22fa29eb1ca940fb3b8cc3c3691a02afab44ceaaba5c76676d46c8f9c8

Observation 18a50d8c-e908-42db-91c5-0ca5116a2b50 · outbound

This paper cites Rauch (1975).

Hot spots in domains of constant curvature Rauch (1975)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:32.658101Z

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.

source=arxiv_source observed=2026-08-05T19:08:28.465185Z digest=sha256:0113409a7c1915846a46764c3773eca71ec1b5705de4beb876de43af6a606ba0

Observation 8761c3bb-1b14-456a-8506-1f3c38fa47b6 · outbound

This paper cites Siudeja (2015).

Hot spots in domains of constant curvature Siudeja (2015)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:32.374836Z

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.

source=arxiv_source observed=2026-08-05T19:08:28.614908Z digest=sha256:094a305d47138c87121e79988f4bd144f3d64b81a3cec596056b7374a5ec0052

Observation 192bc429-700d-4886-a217-eac75a0a92de · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:32.044855Z

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.

source=arxiv_source observed=2026-08-05T19:08:28.864853Z digest=sha256:4b9f99013eb62b1d12a044102ff8b49878696b0806b728a5892375cc7cc4c1db

Observation 85da16b8-a7f2-49fc-be28-eafab889f021 · outbound

This paper cites an unresolved cited work.

Hot spots in domains of constant curvature Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T19:08:31.784772Z

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.

source=arxiv_source observed=2026-08-05T19:08:29.044751Z digest=sha256:9e05773eb8b425bffd1eaf5a9ad21d9185f5e038582d1944907b1004e524b917

Observation 24a28c8a-442f-48df-a931-9159d5c34a19 · outbound

This paper cites Thurston.

Hot spots in domains of constant curvature Thurston

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T19:08:31.484756Z

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.

source=arxiv_source observed=2026-08-05T19:08:29.234749Z digest=sha256:de375d6d5392f5e8842cf8d86781f9a5b1db00bb32dfe329b075bdc62497cc3b

Pith citing papers

Observation 7bf2809c-2d39-4783-ba57-76d5e9747086 · inbound

The hot spots conjecture on Gaussian spaces cites this paper.

The hot spots conjecture on Gaussian spaces Hot spots in domains of constant curvature

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T06:57:40.403060Z

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.

source=pdf_text observed=2026-05-23T06:56:12.829350Z digest=sha256:6287faa470b03c68dc345411a25558119d357972a57c0d231e050a7a3108f4f7