Paper Citation Record · LEDGER

Entanglement principle for the fractional Laplacian with applications to inverse problems

As of 19 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 3 inbound Pith citation observations for arXiv:2412.13118.

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

pith.paper-citation-record.v1
2412.13118 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:38:14.865099Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:16:33.673931Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T14:27:04.268995Z

Reference resolution

16 of 16 outbound references displayed

verified exact2
verified fuzzy4
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 037f60ed-03b5-47fb-85b7-38ba32e531df · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems The fractional anisotropic Calder\'{o}n problem for a nonlocal parabolic equation on closed Riemannian manifolds

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.825026Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75c9ad4f-d0f1-424d-a8c3-00c214decd23 · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems The Calder\'{o}n problem for nonlocal parabolic operators

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.835504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e716f89-efc0-483b-9cdf-e16a9a2246db · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems The Calder\'{o}n problem for nonlocal parabolic operators: A new reduction from the nonlocal to the local

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.840285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef0e4224-34c9-42e3-b3d7-6c07dfd19c58 · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems Approximation and uniqueness results for the nonlocal diffuse optical tomography problem

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.850175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a01295c5-2ae2-4e55-b752-fee228d02b24 · outbound

This paper cites 30 Years of Calder´ on’s Problem.

Entanglement principle for the fractional Laplacian with applications to inverse problems 30 Years of Calder´ on’s Problem

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:15.207617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e8224169-461a-4ffa-a4c6-57edd0f9a509 · outbound

This paper cites [Pil05] Jonathan Pila.

Entanglement principle for the fractional Laplacian with applications to inverse problems [Pil05] Jonathan Pila

Reference 1997

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:15.222809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 9b778ded-dfcd-4402-9f82-398bde754fe3 · outbound

This paper cites A Calder\'on type inverse problem for the active scalar equations with fractional dissipation.

Entanglement principle for the fractional Laplacian with applications to inverse problems A Calder\'on type inverse problem for the active scalar equations with fractional dissipation

Reference 2001

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:38:14.938597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ddfea8ec-e85a-45a7-88f8-d0ec1d6da021 · 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.

Entanglement principle for the fractional Laplacian with applications to inverse problems A Reduction of the Fractional Calder\'on Problem to the Local Calder\'on Problem by Means of the Caffarelli-Silvestre Extension

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.789719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68f60eac-8e1f-4325-a723-4a2d8bd55964 · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems Revisiting the Anisotropic Fractional Calder\'on Problem Using the Caffarelli-Silvestre Extension

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.860394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7cfc11a3-b6bf-41f9-b7c3-4dfaf34e281e · outbound

This paper cites An inverse problem for the space-time fractional Schr\"odinger equation on closed manifolds.

Entanglement principle for the fractional Laplacian with applications to inverse problems An inverse problem for the space-time fractional Schr\"odinger equation on closed manifolds

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.820194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76a4bec7-fe79-4e88-b3fa-9b6f24b1b92d · outbound

This paper cites On the fractional Sch\"odinger equation with variable coefficients.

Entanglement principle for the fractional Laplacian with applications to inverse problems On the fractional Sch\"odinger equation with variable coefficients

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.815230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6081806-a5d4-4e17-a07f-eff8b2b18533 · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems The Calder\'{o}n problem for nonlocal operators

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.810406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 578d624f-9047-45c9-a52d-25ad7560adf5 · outbound

This paper cites The Calder´ on pr oblem for variable coeﬃcients nonlocal elliptic operators.

Entanglement principle for the fractional Laplacian with applications to inverse problems The Calder´ on pr oblem for variable coeﬃcients nonlocal elliptic operators

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:15.238011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 432e2f33-66b9-4b7c-9afe-e9f510232532 · outbound

This paper cites Strong uniqueness principle for fractional polyharmonic operators and applications to inverse problems.

Entanglement principle for the fractional Laplacian with applications to inverse problems Strong uniqueness principle for fractional polyharmonic operators and applications to inverse problems

Reference 2023

Resolution: verified exact; local_arxiv, observed 2026-08-11T13:38:15.103324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e2a6935f-80d7-40dc-adab-0107b75db083 · outbound

This paper cites A non-local inverse problem with boundary res ponse.

Entanglement principle for the fractional Laplacian with applications to inverse problems A non-local inverse problem with boundary res ponse

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:38:15.252152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c04a6901-c5e7-487b-8c4f-b9bf8062da0a · outbound

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

Entanglement principle for the fractional Laplacian with applications to inverse problems Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-11T13:38:14.795813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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

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

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

Reference 6

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3b176b4-8d78-4678-9c04-3f1a7020c9fe · inbound

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

Fractional anisotropic Calder\'on problem with external data Entanglement principle for the fractional Laplacian with applications to inverse problems

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-09T18:04:14.989615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c972efc8-be61-46a0-b67f-2cf448968c84 · inbound

Recovering stable kernels from exterior measurements cites this paper.

Recovering stable kernels from exterior measurements Entanglement principle for the fractional Laplacian with applications to inverse problems

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-02T14:27:04.270691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.