Paper Citation Record · LEDGER

An extension problem for the logarithmic Laplacian

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2312.15689.

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

pith.paper-citation-record.v1
2312.15689 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:21:17.733321Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-16T07:02:28.912024Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1ac80ebc-c579-41ec-be6c-1a2e91da326b · inbound

The Dirichlet Problem For the Logarithmic p-Laplacian cites this paper.

The Dirichlet Problem For the Logarithmic p-Laplacian An extension problem for the logarithmic Laplacian

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-12T19:02:19.134595Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93329a31-c4d5-41d5-b2f2-568c8ab12455 · inbound

The Calder\'on problem for the logarithmic Schr\"odinger equation cites this paper.

The Calder\'on problem for the logarithmic Schr\"odinger equation An extension problem for the logarithmic Laplacian

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-11T05:16:33.652068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f4dc301-755d-49a2-9190-3bc5ea6838df · inbound

Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$ cites this paper.

Anisotropic Calder\'{o}n problem of a nearly Laplace-Beltrami operator of order $2+$ An extension problem for the logarithmic Laplacian

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T00:57:58.542666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1728fe1-635b-422a-8de3-1ee92c0daf17 · inbound

Logarithmic Laplacian on General Riemannian Manifolds cites this paper.

Logarithmic Laplacian on General Riemannian Manifolds An extension problem for the logarithmic Laplacian

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T23:14:11.885782Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47938c02-f4f5-4b4e-a825-774383534fba · inbound

The Logarithmic Laplacian on General Graphs cites this paper.

The Logarithmic Laplacian on General Graphs An extension problem for the logarithmic Laplacian

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T19:32:12.699558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27008a04-9a08-42d3-bac2-d425dac2b9d8 · inbound

The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces cites this paper.

The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces An extension problem for the logarithmic Laplacian

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T12:34:41.571078Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a3140e4e-00fe-4545-bb9a-632b7d49f70b · inbound

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues cites this paper.

The Fractional-Logarithmic Laplacian:Fundamental Properties and Eigenvalues An extension problem for the logarithmic Laplacian

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-16T07:02:28.914905Z

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.

Observation 01520bf6-0421-4c7f-9ff5-8aa6bbb10f3c · inbound

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators cites this paper.

Extension theorems for logarithmic Schr\"odinger and discrete Laplacian operators An extension problem for the logarithmic Laplacian

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T12:43:29.044156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2709fbd5-51e1-4dba-8e68-194ad87df662 · inbound

$s$-harmonic functions in the small order limit cites this paper.

$s$-harmonic functions in the small order limit An extension problem for the logarithmic Laplacian

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-11T21:01:12.448713Z

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.

Observation 509891ea-8bac-47d7-83a7-8138d4b783d3 · inbound

On the fractional logarithmic $p$-Laplacian cites this paper.

On the fractional logarithmic $p$-Laplacian An extension problem for the logarithmic Laplacian

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-13T04:57:17.841700Z

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.

Observation 3c0c38c6-7fdc-4164-b681-8358a4954a93 · inbound

Spectral Properties of the Logarithmic Laplacian with Indefinite Weights cites this paper.

Spectral Properties of the Logarithmic Laplacian with Indefinite Weights An extension problem for the logarithmic Laplacian

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-14T18:07:33.713208Z

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.

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

The logarithmic $p$-Laplacian on hyperbolic spaces cites this paper.

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.