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Paper Citation Record · LEDGER

The logarithmic $p$-Laplacian on hyperbolic spaces

As of 21 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.01079.

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

pith.paper-citation-record.v1
2608.01079 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:21:17.809243Z

measured 18 of 18 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f1436e47-dae7-4885-b19d-a1864afa9c66 · outbound

This paper cites an unresolved cited work.

The logarithmic $p$-Laplacian on hyperbolic spaces Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:21:18.214063Z

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=2026-08-15T15:21:17.720015Z digest=sha256:64f57a8ae017374dc6c5b42ef921092d8affeb5d32b8a35fb8eb098b2a089d85

Observation 3ff8e64d-49d7-4480-83e3-040929f8d992 · outbound

This paper cites An extension problem related to the fractional L aplacian.

The logarithmic $p$-Laplacian on hyperbolic spaces An extension problem related to the fractional L aplacian

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.193214Z

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=2026-08-15T15:21:17.726126Z digest=sha256:f90cc564d2a8cee12a3630267a53a689c97b2b6d19508cdc1fea47eaace0c8e7

Observation cad4a0e0-38a8-45b3-a714-bec24d45a6d4 · outbound

This paper cites An extension problem for the logarithmic Laplacian.

The logarithmic $p$-Laplacian on hyperbolic spaces An extension problem for the logarithmic Laplacian

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-15T15:21:17.733321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:21:17.733321Z digest=sha256:e018a2acf9f6462d87dd45ec1b5acd258896f7f1e6fdd9ead7c63008ee3f265d

Observation 224e9c50-4f85-444c-959c-04ca5220944b · outbound

This paper cites The D irichlet problem for the logarithmic L aplacian.

The logarithmic $p$-Laplacian on hyperbolic spaces The D irichlet problem for the logarithmic L aplacian

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.170827Z

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=2026-08-15T15:21:17.738979Z digest=sha256:54a390b66dc7773467e77e1dd7b99fccc10459b664cc06b9b69dbb11853f12ee

Observation 4868a513-95f3-44b0-9bdc-87ba61397412 · outbound

This paper cites Logarithmic Laplacian on General Riemannian Manifolds.

The logarithmic $p$-Laplacian on hyperbolic spaces Logarithmic Laplacian on General Riemannian Manifolds

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-15T15:21:17.744860Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T15:21:17.744860Z digest=sha256:14a672aa49c404219826e68d0d4440beca2672cd830eec4c0fa48bcfa97b91e2

Observation d955dbe0-2fcf-4657-8d29-da8a9ca2c1c0 · outbound

This paper cites an unresolved cited work.

The logarithmic $p$-Laplacian on hyperbolic spaces Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:21:18.145820Z

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=2026-08-15T15:21:17.750262Z digest=sha256:d2b65eb722ac5223b8e73146f2904ab1132dbb91d1102b471b8af859b9e2611c

Observation 403f33ae-2a52-40bb-8738-24519ea8ff36 · outbound

This paper cites o., Jarohs, S., and Sk, F.

The logarithmic $p$-Laplacian on hyperbolic spaces o., Jarohs, S., and Sk, F

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.109202Z

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=2026-08-15T15:21:17.755743Z digest=sha256:0db2a482a2759cfca3f6e0a959edd8194f23560ecb53b60eed72c9a6203a6711

Observation 940eb4c2-4c1e-417b-b54b-1c9f19f48dfb · outbound

This paper cites Reverse F aber- K rahn inequality for the p - L aplacian in hyperbolic space.

The logarithmic $p$-Laplacian on hyperbolic spaces Reverse F aber- K rahn inequality for the p - L aplacian in hyperbolic space

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.083387Z

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=2026-08-15T15:21:17.760433Z digest=sha256:249f012291e7be9041eed83f8599eeb8aacdb68e84fff575ae118053fe148537

Observation d2b92797-7e74-4cf3-871e-e6ef5df17dca · outbound

This paper cites an unresolved cited work.

The logarithmic $p$-Laplacian on hyperbolic spaces Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:21:18.058944Z

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=2026-08-15T15:21:17.765137Z digest=sha256:80929ec26ad18466c5bdcc63cf36a44f19562bfc90a82b3b526b2bdb39592b42

Observation 64f52aac-c503-4d03-8114-e6f6f3e8d2d7 · outbound

This paper cites A fractional Y amabe flow and some applications.

The logarithmic $p$-Laplacian on hyperbolic spaces A fractional Y amabe flow and some applications

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.040423Z

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=2026-08-15T15:21:17.769964Z digest=sha256:12703b8f700401d34ce764910a4c1a3102613cf283eabe8d19660c966d68b73b

Observation ff019f46-332e-4610-8135-18668375e387 · outbound

This paper cites The fractional p - L aplacian on hyperbolic spaces.

The logarithmic $p$-Laplacian on hyperbolic spaces The fractional p - L aplacian on hyperbolic spaces

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:18.020266Z

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=2026-08-15T15:21:17.775003Z digest=sha256:28b87510564fa7dafd09482ac01a15ff821c54bc24af5b5bd917155c8cf8ec81

Observation 0176b8dd-7a94-4abe-a227-bbc821756e37 · outbound

This paper cites Ten equivalent definitions of the fractional L aplace operator.

The logarithmic $p$-Laplacian on hyperbolic spaces Ten equivalent definitions of the fractional L aplace operator

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.998833Z

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=2026-08-15T15:21:17.780192Z digest=sha256:e0dd193a6b4a1f169d44b2490540fab73e56fc0a0b3c93f17ec21ad6e0353cd8

Observation a87500fe-4cd8-4dce-a0de-e3779dec86f0 · outbound

This paper cites an unresolved cited work.

The logarithmic $p$-Laplacian on hyperbolic spaces Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-15T15:21:17.975427Z

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=2026-08-15T15:21:17.784727Z digest=sha256:7e18e4718979ebb308594381a15275707cf642cb6d8ba7ef05b4a302e66224d2

Observation ee3721a0-da20-4552-b896-cb220d5e63b1 · outbound

This paper cites Existence of the least energy sign-changing solutions for fractional B rezis- N irenberg problem.

The logarithmic $p$-Laplacian on hyperbolic spaces Existence of the least energy sign-changing solutions for fractional B rezis- N irenberg problem

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.955863Z

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=2026-08-15T15:21:17.789629Z digest=sha256:26141205ac109771e8e4b80f85ee0f0ac3154669fb907e47911b5aa85f172194

Observation c2bc2573-cd5a-4038-84be-5ac08599ba4c · outbound

This paper cites H\"older estimates for viscosity solutions of equations of fractional p - L aplace type.

The logarithmic $p$-Laplacian on hyperbolic spaces H\"older estimates for viscosity solutions of equations of fractional p - L aplace type

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.938350Z

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=2026-08-15T15:21:17.794522Z digest=sha256:8f718c167a0bcedf19063406c9d98fb5ddab64f7c7b26bc7de1675466ef3df5f

Observation e98283a4-768e-4a1c-8b21-9fc6815fd9a2 · outbound

This paper cites Anisotropic fractional perimeters.

The logarithmic $p$-Laplacian on hyperbolic spaces Anisotropic fractional perimeters

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.921425Z

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=2026-08-15T15:21:17.799243Z digest=sha256:7ebe3b44c3be3b295d11bccde6e8435654bfcb69a2f157ef89e9275cb3ac634d

Observation 3d596380-938d-4b35-89e5-80ba43fd4bc9 · outbound

This paper cites The D irichlet problem for the fractional L aplacian: regularity up to the boundary.

The logarithmic $p$-Laplacian on hyperbolic spaces The D irichlet problem for the fractional L aplacian: regularity up to the boundary

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.904579Z

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=2026-08-15T15:21:17.803926Z digest=sha256:f8d02e33e53a5fb76b87ef8186df516197a16b58632a852e939e65f68bd5df38

Observation 50d752ed-9e6a-4fbe-a411-174b6b8e48fb · outbound

This paper cites The B rezis- N irenberg result for the fractional L aplacian.

The logarithmic $p$-Laplacian on hyperbolic spaces The B rezis- N irenberg result for the fractional L aplacian

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:21:17.887177Z

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=2026-08-15T15:21:17.809243Z digest=sha256:0021204125529695ca183c8908f405e091cc44ad55e644dda94dc6edf2208872

Pith citing papers

No inbound Pith citation observations are available.