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Paper Citation Record · LEDGER

Hot spots in domains of constant curvature

As of 14 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.024846Z digest=sha256:752039a21dbd474c37287c8fdb30509fa1dafa754df75361dc95b853473e5e66

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.184753Z digest=sha256:d1d0eee1f55c4cbe07c011f7751089bcf5d1a5d7f09c1d89223d1aed29869a7d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.304832Z digest=sha256:4e9d6f18b88e3d078e1253658e1488aef789f03699ad0f9e6ec1162845b2626a

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.454836Z digest=sha256:6e940c92657e0cc7976b307fb782a371e4d79a5daf340ebc02f44e42c450768c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.634744Z digest=sha256:165140c29915498b1e41e36b3edfb67683cd7e126d03b28ed7c73e99529b30e9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.844752Z digest=sha256:c8eb7a276591b37fda2d3837ee416de30ddc28822fc76d8896cbe0c1523b04d9

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.944751Z digest=sha256:fa2196fad3472a3489f22269dd5833209814da49aa70d9f6664944ad71fbfe98

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.116764Z digest=sha256:e4cb7de2a0001c4f7008c850ae0df23814a589d99f829b0f1d3277b490a1f392

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.364754Z digest=sha256:ea9d5313d12d3be09b05e6110819678bc7941527fc56e0661079546554dadf54

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.474756Z digest=sha256:ff223f16a9072384efd48ab6ac788c85980fa38a99fb039a65ffcf63e6ba4b90

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.664757Z digest=sha256:91b31939f269d4a63888ee80f4c61f6087804308a26e89c659aa41014fd09808

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.796668Z digest=sha256:6dec80a170bf80db161ace1892caecd5b32d713f3b5415e2fe5cc6baea5b4542

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.904753Z digest=sha256:a6eb8340a21fc5446377706387ba2ad58ce90fb240d0cc427d7b801599ecd798

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.995289Z digest=sha256:a11eb4f770761140f2cf93fb03d2cfa056f361b0ae48f618fa4d66787ad5424e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.114753Z digest=sha256:c75064c9c02784d9a9e43efe359cb84f2d9c4ec79d56a5ac255969b7e0a57902

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.250317Z digest=sha256:fa663da5f82421390547ff06b0a9388b33a618cf0e79c8c81c4dceb4c258dd9d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.353096Z digest=sha256:e35e09b6afed389ca09e07c4e9b2ce47f20bf125db844dc799cb26c425fa8a9b

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=sha256:43f72abe13ce7b5c228e212dd64e19313f122246e3214aa42b45a3926643d35e

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.654846Z digest=sha256:ce83b1982b257f4a40bd0ca6bec8f59ff2a804fd43a59325169995018043d224

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:f8aeeb15a3de44bb20df85c74704d3f340a4119dcf34259207e860bd44bd671c

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.984758Z digest=sha256:7f719f7ade308089c8b21701e3461bd15a1e7c1ee7e6884fc59297471a2556ad

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.134755Z digest=sha256:20f4601aaceceae4e97202925cc8cdf3d5ceec81655dd82c47f4731dd826bb93

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=sha256:928bcf6005e52c8eff00e9bac2c9b7ecb3f19097844625966ac343f185c02c16

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.465185Z digest=sha256:84c035660a1c4b0fbe2039978168b96a5108efd457fc90552e1995b4bfeb5e27

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.614908Z digest=sha256:0d4c29ec5073d728df94ac77d55a3befc4073ff2d7f2c1a41458f0669bd68d6d

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.864853Z digest=sha256:31a853bea6046f9331746dd0a6e58f2f0a7caef6deef379baa36e45965ee1bea

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:29.044751Z digest=sha256:7a95a6cb3671113045a7b72cd62ae98bdc251c7838a671eaeddde52982c901e4

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 2026-08-14T06:32:32.682623+00:00.

source=arxiv_source observed=2026-08-05T19:08:29.234749Z digest=sha256:8aa652ac2cd15040f63884ff6a99d7f9585b1a3b5329366153c88b139d609490

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-23T06:56:12.829350Z digest=sha256:a197ab2477597ed416ab31953f600d5a9da8fa1828682c94a09fe2b0482bf7ef