Paper Citation Record · LEDGER

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

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2412.03868.

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

pith.paper-citation-record.v1
2412.03868 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:12:33.971814Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:38:14.845331Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T13:38:14.931274Z

Reference resolution

23 of 23 outbound references displayed

verified exact0
verified fuzzy19
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 976c4973-3b27-4e31-acee-754747d13131 · outbound

This paper cites On Instability Properties of the Fractional Calder\'{o}n Problem.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation On Instability Properties of the Fractional Calder\'{o}n Problem

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T22:12:33.886321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae75fa79-2cfd-410a-be6a-99ecbe72bf3d · outbound

This paper cites Generalized surface quasi-geostrophic equations with singular velocities.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Generalized surface quasi-geostrophic equations with singular velocities

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.281488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 37684fce-4c91-4b70-a04b-2205857f777f · outbound

This paper cites The higher order fractional Calder´ on problem for linear local operators: Uniqueness.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation The higher order fractional Calder´ on problem for linear local operators: Uniqueness

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.269409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b9f747e1-0693-4028-8ccf-faeb5b850494 · outbound

This paper cites Partial differential equations , volume 19.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Partial differential equations , volume 19

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.256253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3c34f60c-b7b7-42ed-a731-1f42b07b12a0 · outbound

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

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Calder\'{o}n problem for fractional Schr\"{o}dinger operators on closed Riemannian manifolds

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T22:12:33.903591Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2679828-22fd-4b00-8b0a-5bd444101e20 · outbound

This paper cites An inverse problem for a semi-linear elliptic equation in riemannian geometries.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation An inverse problem for a semi-linear elliptic equation in riemannian geometries

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.244175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 38b0a199-614c-4497-9a3f-9a95e6cd2333 · outbound

This paper cites Ill/well-posedness of non-diffusive active scalar equations with physical applications.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Ill/well-posedness of non-diffusive active scalar equations with physical applications

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.231595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 53c80787-4ece-4d82-8596-4f6640f02f34 · outbound

This paper cites Uniqueness and reconstruction for the fractional Calder´ on problem with a single measurement.Journal of Functional Analysis , page 108505, 2020.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Uniqueness and reconstruction for the fractional Calder´ on problem with a single measurement.Journal of Functional Analysis , page 108505, 2020

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.217407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4d1d5d32-6dc3-4b99-b3b5-9bf1fa990251 · outbound

This paper cites The Calder´ on problem for the fractional Schr¨ odinger equation.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation The Calder´ on problem for the fractional Schr¨ odinger equation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.204464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae3c347c-eb2a-4984-abb3-39910bb46f59 · outbound

This paper cites A remark on partial data inverse problems for semilinear elliptic equa- tions.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation A remark on partial data inverse problems for semilinear elliptic equa- tions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.193151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 69c5653d-8be0-4d08-aad7-7b60a12258f3 · outbound

This paper cites Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Global Sobolev persistence for the fractional Boussinesq equations with zero diffusivity

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.181413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9f10d180-6ec3-485b-b5c1-0f7b03c6b40c · outbound

This paper cites Inverse problems for lorentzian manifolds and non-linear hyperbolic equations.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Inverse problems for lorentzian manifolds and non-linear hyperbolic equations

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.169531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0773cc3e-6213-4b06-81b2-1c6dd4ac1e67 · outbound

This paper cites Inverse problems for fractional semilinear elliptic equations.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Inverse problems for fractional semilinear elliptic equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.156836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation adb0665a-43c3-4f73-a2e4-59cdf178e669 · outbound

This paper cites Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Inverse boundary value problem for the Stokes and the Navier-Stokes equations in the plane

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.145795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 35951d18-fe7d-49a4-9dbd-2e1ce9c83f6c · outbound

This paper cites An inverse problem for the non-linear fractional magnetic Schr¨ odinger equation.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation An inverse problem for the non-linear fractional magnetic Schr¨ odinger equation

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.134006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a54869b6-b7ea-4f4f-a19d-504638934d06 · outbound

This paper cites On inverse problems arising in fractional elasticity.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation On inverse problems arising in fractional elasticity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.121376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation db2926c9-5688-4388-a68d-1c65d1093c5c · outbound

This paper cites An inverse problem for the fractionally damped wave equation.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation An inverse problem for the fractionally damped wave equation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T22:12:33.949632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77edacaf-0a82-41a5-a29b-5b5aae7bbed9 · outbound

This paper cites an unresolved cited work.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T22:12:34.109185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b00ba534-962b-4da5-9df2-1708abd33ab2 · outbound

This paper cites Unique continuation for fractional Schr¨ odinger equations with rough potentials.Communica- tions in Partial Differential Equations , 40(1):77–114, 2015.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Unique continuation for fractional Schr¨ odinger equations with rough potentials.Communica- tions in Partial Differential Equations , 40(1):77–114, 2015

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.096262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 660161e7-a8c1-451f-9859-78d2c2ff68f9 · outbound

This paper cites Quantitative approximation properties for the fractional heat equation.Math- ematical Control & Related Fields , 10(1):1–26, 2020.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Quantitative approximation properties for the fractional heat equation.Math- ematical Control & Related Fields , 10(1):1–26, 2020

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.083176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1e553b1b-961c-4c29-a748-cd4303504e41 · outbound

This paper cites Singular integrals and differentiability properties of functions.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Singular integrals and differentiability properties of functions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.070146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fcacdc7c-8dad-4417-b9df-e380b7c243e4 · outbound

This paper cites Stein and Guido Weiss.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation Stein and Guido Weiss

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.057726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a14cf1a-6e08-42b2-b37d-2bcc286ac60f · outbound

This paper cites On an inverse boundary value problem for a nonlinear elastic wave equation.

A Calder\'on type inverse problem for the active scalar equations with fractional dissipation On an inverse boundary value problem for a nonlinear elastic wave equation

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T22:12:34.044577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

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

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

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 2026-08-19T06:32:44.657259+00:00.