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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 2026-08-20T06:33:59.587034+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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.720015Z digest=sha256:c640d7ca743455484053b950c22cb6351b70fc962c69826f2dca9c48e9d9a204

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.726126Z digest=sha256:4d5aac990784e667fbd75bca35dc2655a59da5ff70f17ce5f0d340c6388f8af2

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=sha256:0df3b2bafa309b907d99ff0c2f7c86c99acafdc7788b5023f632d645f90a3c3c

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.738979Z digest=sha256:b7157b1559ee32bf27abb589c5d3b70168b987be8175b4bdb883b64a5868dd25

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=sha256:97210c71fd8246738d2d50699bcf56a94d752737a45b81b95b5760de879cd588

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.750262Z digest=sha256:cf0302e5c80f8b4bf6718d9e481b38fa23a030a9d60a16d959b3347d97d13558

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.755743Z digest=sha256:129b1ad194b9f1d87019917a919730d9fb71b878587baba1e01868116d531686

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.760433Z digest=sha256:349a88c68db0aa00620d75ded4077aa3ec696cb7cbe1b4a1bbc40bf6bb76f1f9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.765137Z digest=sha256:a66b6ad8df2e7aa7c68bd0d1d9d926b947dc990c23a540536cd131965e7de280

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.769964Z digest=sha256:3dbb3bb4e276a119698e1a7f0df4f3ad01057fea2ae098a6e667e22de069d3c9

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.775003Z digest=sha256:4c63d5639757d63e17e4a2a8727767b9df040148202eb3c4cc528d4cbbfeb67b

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.780192Z digest=sha256:bbe11ce9590e8b24ca9c64d4209dafab9912a41673ab71e4e68ef8ab445efee2

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.784727Z digest=sha256:0612754264412f9b7685ae5d2b60d63c03b2f75593ddeaabf97938dc1a4f412f

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.789629Z digest=sha256:fc830afc6882ea8404936452c344ba167b4454377a619561940d0d02626d4b89

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.794522Z digest=sha256:0d3fc2bde4224e006351f6ab9295c7a78790380d29e059d67d40798aa66f83d8

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.799243Z digest=sha256:b38f652e4daffb18910ad76a8ebe516a5093f65882f3ad8e28a4c6d2b8964a11

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.803926Z digest=sha256:24a8f6894aae95c449f994e52fb3fdeefc7c73638f0d0ef2041fa27a00d50409

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-15T15:21:17.809243Z digest=sha256:9434d180a9066bd2caf4cdfeaa7e342a498d33a425f7d1709f60ba2a815bcdb2

Pith citing papers

No inbound Pith citation observations are available.