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Paper Citation Record · LEDGER

Hot spots in domains of constant curvature

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.024846Z digest=sha256:701c5520aeea3594db58a913e1ec67b8c8ba5cdf380b38905f37410db18d2cd7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.184753Z digest=sha256:ee4145819d4c24fb0c1dea08046977a63c7f34232a03d211b57d0479c154b1da

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.304832Z digest=sha256:9812a352d2156add2aa9ff014b054164887c39489539926f7cbf8d8b5c2b5e18

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.454836Z digest=sha256:bdc1a80cf14ced2d032014a527972edf8862780a57b327bcb6f2fb29e9082e59

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.634744Z digest=sha256:7c42d36f2f5e280e2d50d2fc90ba886084246777960deb8e633dc188ab0ce73b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.844752Z digest=sha256:81858c0480fe9aae184975908d06e3420a9591e62d06bc3418a2f72eadbf0022

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:25.944751Z digest=sha256:9a8aee23b7a5ecb845f99b792f9a34f21c67a72f26468d8f209e90876ea446cd

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.116764Z digest=sha256:7fa2578e86a56b603302f0b4c3b6868ff7a15db3647c6ecc53691077fea46db7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.364754Z digest=sha256:aa944f69b5f652f8eab587dcb1098113bf05d4f8063d57190c0bed0d931635c6

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.474756Z digest=sha256:8ae80c85c45ed79c0d8c4f05c3cca580ccca438bcf312b69b6d648591ee7d4da

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.664757Z digest=sha256:ef0519be1b21372d7a6bebe62e7f93b79be249add0d31f3d0837970f6bf77d6a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.796668Z digest=sha256:e9abe79f61d5fad927ebddd7e7dd9db290701a42f5892527a1205d886401ce5f

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.904753Z digest=sha256:0df01f8f083bbad6af871752d67b9ef583b6a49e0adb25a59d0742d886accc14

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:26.995289Z digest=sha256:e1794f0a51d1268fae9ca5bf047b7f7edecbc2576851048e5bba0f9cd9125447

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.114753Z digest=sha256:73ca906fda72a43bee43e35b1ce05d657df58e732e5cd82ae3221bfc234fe531

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.250317Z digest=sha256:d7311869c541d1386e0f27ce87b45b3947d9ac2797b5a029dac50e9ebd524cf8

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.353096Z digest=sha256:f9ee917dcaa4b6ff956f7a947af9a6b12ad3f18bd5adc88e20673bb67dbdd0bc

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.654846Z digest=sha256:84a2a9f9da8d1f1074f1ed7b6e764d9c1b0ea4aa6dcbdfe8531f5bd3f724a007

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:27.984758Z digest=sha256:0ae85306c02747fedcd6ed5cd8956e01ac5f7ce21ef282b288df6690f08aa707

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.134755Z digest=sha256:0aedbe5a57ac9bb94901d93691ff17c9b20c3abe7e6e693d8651b2d647f617e7

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.465185Z digest=sha256:14cda21db9b8e91f9f5ca9067d6ee6583293c5f46d2b836c936eec2f13ed9cfc

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.614908Z digest=sha256:a92ea3fbb6753a901d4313ecc00a25dc25231039d712d9b34f21fd8c14abee7a

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:28.864853Z digest=sha256:ec2b81e3c7347d288979c65579befeed7075d9bd6065bbbce37381c2c3163b11

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:29.044751Z digest=sha256:28fb55c0bcc0ca9d4f19ac09d4e7a44392ae91e40c72066909448ca4d7a5643b

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T19:08:29.234749Z digest=sha256:1d6fa3044b5169feed3153d56822d37998294f3e508031ca7609d508e1004a7b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-23T06:56:12.829350Z digest=sha256:b1fe5cc7496299b7a190a8d7a908043fb9cae0a731d5b4dea220f9dacaac51d5