Paper Citation Record · LEDGER

On the two-dimensional Navier-Stokes equations with horizontal viscosity

As of 13 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2507.02775.

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

pith.paper-citation-record.v1
2507.02775 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:37:13.403445Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy6
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b8536a2c-cb99-4658-bf49-b6ae9092e01e · outbound

This paper cites Albritton, E.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Albritton, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:14.665962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3d25144b-8c89-4cf5-84fc-a497874a62b9 · outbound

This paper cites Albritton and M.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Albritton and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:14.495007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50ec42e7-823b-4aa6-a9d1-79cdd323c995 · outbound

This paper cites Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L^1_t C_x^{1,\epsilon}\cap L^{\infty}_{t}L_{x}^2$.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Finite time blow-up for the hypodissipative Navier Stokes equations with a force in $L^1_t C_x^{1,\epsilon}\cap L^{\infty}_{t}L_{x}^2$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T20:37:12.831388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f6e5a03-b687-4c4f-b476-cbae63810a35 · outbound

This paper cites an unresolved cited work.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:37:14.339284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f6adeddc-da10-4a59-91a7-5b81827a6b1c · outbound

This paper cites Elgindi, Finite-time singularity formation for C 1,α solutions to the incompressible Euler equations on R3, Ann.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Elgindi, Finite-time singularity formation for C 1,α solutions to the incompressible Euler equations on R3, Ann

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:14.142461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f590bc1c-2aad-4e71-8898-ce4486b0621c · outbound

This paper cites Grafakos, Classical Fourier analysis, Second edition, Graduate Texts in Mathematics 249, Springer, New York, 2008.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Grafakos, Classical Fourier analysis, Second edition, Graduate Texts in Mathematics 249, Springer, New York, 2008

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:14.023981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 508ac965-03c5-40c8-8610-2e1eede292c9 · outbound

This paper cites Kiselev and V.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Kiselev and V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:13.899240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 39aa6b4f-5adb-42c9-a7f8-0ef707837922 · outbound

This paper cites Liang, P.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Liang, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:37:13.756981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 07de7818-ae16-4632-ab14-be8b8c8cafab · outbound

This paper cites an unresolved cited work.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:37:13.574923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4b50d9f8-b33d-4e3b-bdc9-b8d19be15c25 · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T20:37:13.343326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39252c44-0efc-4376-9c5d-f619f136d44e · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II.

On the two-dimensional Navier-Stokes equations with horizontal viscosity Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T20:37:13.403445Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.