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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=sha256:5a4b1c7fb1e4bf6b89b8075e46b1c4f066b9c972e8eb8ac6344d1e2740c8cbfe

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=sha256:0a41cdca62aefb3fb4e7a367a8d44fcbd62365b88fb317e8db275dcb3391c5a8

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

source=arxiv_source observed=2026-08-15T15:21:17.738979Z digest=sha256:28f9a4e57960a30bc519608b20b7234e9ee5344114769874c300e17407c173e8

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

source=arxiv_source observed=2026-08-15T15:21:17.750262Z digest=sha256:8c22d2f6b9b88973811204436966a977636ac9b8dcde66dac534f1d0306aed88

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=sha256:8b3752f60e6cc7cc2b59fd04af51ab179ae9515b3ea71fd4581c4cf07f686764

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=sha256:8086d32822c4f974d134566b07e5a1509e7dc4fbbb092770e528daaa32b21758

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=sha256:7f3de0e4701c7966d741422a47a920c2e5eefc7b7acb4d2e176c77edec168033

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=sha256:992c0755cecc4646af221979760718370c533c7c4863029a78cf8fe14323f48c

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:ba9bdc428165429f877f450ba0f5ee97ba7651378031f2ec1f4c0d7589305d3d

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=sha256:7c13414844aa52af7f278e43657ec775f557a304bd644eb83a86f251fc5abf9a

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:d4793ff98fe8a924ea9e94959027c40505e9a48fd21fca7aef4965b945433576

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:ff3ed1b8029cd1e542bfac9caf87aee8fab3c9a6c78528f68e7dbd0f3d815f59

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:fe55b9627f824efde5613c2b0ef0a763acd1ef453771f3e5a6ed7b7547e5cb02

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:ff5c03cc2db506e0310bea9548f1d9224abfbf43d3b9e7cbc0339675a23c267a

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:c79d43f66a225248b0199e9d1482552e6f3522036ba33f2efc6a7cdee8ff2c54

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:cbdf935b4983e521463ebc54f0b0b6c9a64180a2a5b15a9e1261b635cbec9c17

Pith citing papers

No inbound Pith citation observations are available.