Pith. sign in

Paper Citation Record · LEDGER

An extension problem for the logarithmic Laplacian

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 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 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:57:58.542666Z

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 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.

source=pdf_text observed=2026-08-07T00:57:58.542666Z digest=sha256:35040594ff6fa420e6a131468ef9e25d14d7a539278215d37ec6528ab9a2d091

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.

source=pdf_text observed=2026-08-06T23:14:11.885782Z digest=sha256:6c7f5c4c89c216231c81df0aada0944d7ad478f3090ad2b0e238d0d0ecad777c

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.

source=pdf_text observed=2026-08-06T19:32:12.699558Z digest=sha256:de65766cb5221e6510d7911e8d41f3597839973740d051a3a5f21f59e83a6dd1

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.

source=pdf_text observed=2026-08-06T12:34:41.571078Z digest=sha256:279d890e193638baef6107acf5c5c8c2d4164e4e21b5fd8e67eaa26b38792d2b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-16T07:02:22.122426Z digest=sha256:d734ebd2d15785eceac32ff3f83ae6ed11da4afdbae3b4406c2830c7f48fec27

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.

source=arxiv_source observed=2026-07-13T12:43:29.044156Z digest=sha256:aba224b1112a3dace2807618daeb67c8e5580b095094000811859f4a85505c09

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T07:21:57.500531Z digest=sha256:3c07ac4773847adcf8f2cc9a1f51fa5fa3453097d731aadba94a2dac7de2b8e4

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-13T04:44:34.203908Z digest=sha256:80cf5055e8e447fa92dc9844d02a53a426174d0a1ed4f2c4015d7cf496710e48

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-14T18:05:21.472364Z digest=sha256:cf56b1d4bc6cc8ba3560c7a3c8fb98585b6f871f4a6b2dfd843c266c7183a19b