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Paper Citation Record · LEDGER

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

As of 21 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 2 inbound Pith citation observations for arXiv:2412.17775.

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

pith.paper-citation-record.v1
2412.17775 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:16:33.728694Z

measured 16 of 16 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T18:04:15.035271Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:57:58.817417Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact3
  • verified fuzzy1
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54aaa674-8999-4ad4-8ad5-6c6f89b1673c · outbound

This paper cites Fractional anisotropic Calder\'on problem on closed Riemannian manifolds.

The Calder\'on problem for the logarithmic Schr\"odinger equation Fractional anisotropic Calder\'on problem on closed Riemannian manifolds

Reference 4

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no resolver link, observed 2026-08-11T05:16:33.658336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.658336Z digest=sha256:61fee35d46c05136688afb3d217c956619189b15b428c3c949183d8f22ce3a54

Observation fee4f47b-11cf-4270-a2fa-a541343a4294 · outbound

This paper cites Entanglement principle for the fractional Laplacian with applications to inverse problems.

The Calder\'on problem for the logarithmic Schr\"odinger equation Entanglement principle for the fractional Laplacian with applications to inverse problems

Reference 6

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no resolver link, observed 2026-08-11T05:16:33.673931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.673931Z digest=sha256:2900983bf1fe67ae6d0c2d4962866771d247b476155898446f32d192ba7e2b54

Observation 26c58b63-4ecd-4492-bae5-31e0b8025ea7 · outbound

This paper cites The Cald er´ on problem for vari- able coefficients nonlocal elliptic operators.

The Calder\'on problem for the logarithmic Schr\"odinger equation The Cald er´ on problem for vari- able coefficients nonlocal elliptic operators

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:16:34.120083Z

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=pdf_text observed=2026-08-11T05:16:33.681326Z digest=sha256:4cd877f25ea80d0c213d482a8f43a7530de2b47e773cb56e7a0286ae6ceb3dc6

Observation d3b71393-e7e8-483b-b6b3-40acd253f0a9 · outbound

This paper cites The fractional anisotropic Calder\'{o}n problem for a nonlocal parabolic equation on closed Riemannian manifolds.

The Calder\'on problem for the logarithmic Schr\"odinger equation The fractional anisotropic Calder\'{o}n problem for a nonlocal parabolic equation on closed Riemannian manifolds

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:16:33.930814Z

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=pdf_text observed=2026-08-11T05:16:33.694825Z digest=sha256:f39a4b80fc71a74097505863ba6da5f04b1f65593a0de08137e0dd00d85b5b98

Observation f0e6ab89-8722-4347-be30-b49eb4231baa · outbound

This paper cites The Calder\'{o}n problem for nonlocal parabolic operators.

The Calder\'on problem for the logarithmic Schr\"odinger equation The Calder\'{o}n problem for nonlocal parabolic operators

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:16:33.899835Z

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=pdf_text observed=2026-08-11T05:16:33.703388Z digest=sha256:a90d2c2fe2824269d6b4aadaa59dd646b697a1a0febeb82acfae5d4748d74096

Observation e9cd9036-8b7f-440d-a691-aeb81b110a07 · outbound

This paper cites The Calder\'{o}n problem for nonlocal parabolic operators: A new reduction from the nonlocal to the local.

The Calder\'on problem for the logarithmic Schr\"odinger equation The Calder\'{o}n problem for nonlocal parabolic operators: A new reduction from the nonlocal to the local

Reference 11

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unresolved
no resolver link, observed 2026-08-11T05:16:33.708908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.708908Z digest=sha256:41c4576b3aa49912748b4d6516e4d17e528d1684ddda84d561c6a9dfcdc8c9c4

Observation 8329f4fa-d232-4415-939e-0331b437cee9 · outbound

This paper cites Approximation and uniqueness results for the nonlocal diffuse optical tomography problem.

The Calder\'on problem for the logarithmic Schr\"odinger equation Approximation and uniqueness results for the nonlocal diffuse optical tomography problem

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T05:16:33.721276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.721276Z digest=sha256:4cd9d6768c5b4b224181051c485ff871eff6c7c7deaa0bd7e545264a6139ee5a

Observation ab3f84ea-ea4a-4c33-b8b5-037bcb3b4903 · outbound

This paper cites Revisiting the Anisotropic Fractional Calder\'on Problem Using the Caffarelli-Silvestre Extension.

The Calder\'on problem for the logarithmic Schr\"odinger equation Revisiting the Anisotropic Fractional Calder\'on Problem Using the Caffarelli-Silvestre Extension

Reference 14

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unresolved
no resolver link, observed 2026-08-11T05:16:33.728694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.728694Z digest=sha256:caaf3aed67583076be8da8e9c2dc87a80e4ed4b2b5cda345a15f60936ed183f7

Observation 1aa1a224-6061-4f6d-8671-1e92343af7e6 · outbound

This paper cites Geometrical optics for the fractional Helmholtz equation and applications to inverse problems.

The Calder\'on problem for the logarithmic Schr\"odinger equation Geometrical optics for the fractional Helmholtz equation and applications to inverse problems

Reference 1980

Resolution
unresolved
no resolver link, observed 2026-08-11T05:16:33.638027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.638027Z digest=sha256:9ee3c099bc44c3a15a3fa5a34ac929eb5df97e8cd4295de2f712538d400a5e2e

Observation 3c308274-6fdf-4ce9-8f82-8f20d0e1ad17 · outbound

This paper cites The Calder\'{o}n problem for nonlocal operators.

The Calder\'on problem for the logarithmic Schr\"odinger equation The Calder\'{o}n problem for nonlocal operators

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-11T05:16:33.688254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.688254Z digest=sha256:72ece486236302b9db7c9a141688c76f2f286c989599a4df8ac1265a9f52172d

Observation 9039f006-f8ad-4666-b500-f950be57e742 · outbound

This paper cites Unique determination of coefficients and kernel in nonlocal porous medium equations with absorption term.

The Calder\'on problem for the logarithmic Schr\"odinger equation Unique determination of coefficients and kernel in nonlocal porous medium equations with absorption term

Reference 2021

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:16:33.845889Z

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=pdf_text observed=2026-08-11T05:16:33.714376Z digest=sha256:aa5e6289b4d09afe6121a204e12df565e3d3b86c0ffdcd5f2aef8ffb8e6c9289

Observation bee86222-d789-433d-b5fe-3c020c333438 · outbound

This paper cites Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds.

The Calder\'on problem for the logarithmic Schr\"odinger equation Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-11T05:16:33.665381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.665381Z digest=sha256:152d7a0b3a334f585d787744dc7c303732de58cdc04757f14dc3dadd26dfc7c2

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

This paper cites An extension problem for the logarithmic Laplacian.

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.

source=pdf_text observed=2026-08-11T05:16:33.652068Z digest=sha256:c322ed6d8e23ad1d5fc751dbd776ba893473fce2595f01f6d562fda47999eb3c

Observation cf5e9e96-6177-4d56-b5f0-934be57c40cb · outbound

This paper cites A Reduction of the Fractional Calder\'on Problem to the Local Calder\'on Problem by Means of the Caffarelli-Silvestre Extension.

The Calder\'on problem for the logarithmic Schr\"odinger equation A Reduction of the Fractional Calder\'on Problem to the Local Calder\'on Problem by Means of the Caffarelli-Silvestre Extension

Reference 2024

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unresolved
no resolver link, observed 2026-08-11T05:16:33.646516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:16:33.646516Z digest=sha256:b98ffa035cdd651d18aedc36b199275ac9b5ba417a653b16cc961ae41f010eb8

Pith citing papers

Observation 4d588091-45ad-4aac-83d8-c613a1890759 · inbound

Fractional anisotropic Calder\'on problem with external data cites this paper.

Fractional anisotropic Calder\'on problem with external data The Calder\'on problem for the logarithmic Schr\"odinger equation

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-09T18:04:15.035271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T18:04:15.035271Z digest=sha256:19f808c696ef79218116870a43a34ac68c629f1e3c61cfc515170ca0b62b51a7

Observation c244220f-c405-4643-8cf2-897e175f9126 · 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 $2+$ The Calder\'on problem for the logarithmic Schr\"odinger equation

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:57:58.822820Z

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=pdf_text observed=2026-08-07T00:57:58.652071Z digest=sha256:073ff53b9abb5bc92ff47f82f18308ba64018989e7755b2440a45ad0e44a5f76