Paper Citation Record · LEDGER

From Instability to Singularity Formation in Incompressible Fluids

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 14 inbound Pith citation observations for arXiv:2310.19780.

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

pith.paper-citation-record.v1
2310.19780 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 14 of 14 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 14 of 14 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:48:51.026807Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T04:06:35.630752Z

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 f3c3c553-7ed7-43c4-aedc-278609ec58bb · inbound

Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\epsilon}\cap L^2$ force cites this paper.

Finite-time singularity via multi-layer degenerate pendula for the 2D Boussinesq equation with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\epsilon}\cap L^2$ force From Instability to Singularity Formation in Incompressible Fluids

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:51.026807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53711aa1-5040-4b2a-ad38-da8a7db27e9a · inbound

Instabilities of internal gravity waves in the two-dimensional Boussinesq system cites this paper.

Instabilities of internal gravity waves in the two-dimensional Boussinesq system From Instability to Singularity Formation in Incompressible Fluids

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T17:41:53.272926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 134f9d5f-b5a0-400d-b799-094492644a33 · inbound

On putative self-similarity for incompressible 3D Euler cites this paper.

On putative self-similarity for incompressible 3D Euler From Instability to Singularity Formation in Incompressible Fluids

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T22:22:11.615299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 678340d8-bb1c-42ab-9aef-6f8ee5cc59b2 · inbound

Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold cites this paper.

Incompressible Euler Blowup at the $C^{1,\frac{1}{3}}$ Threshold From Instability to Singularity Formation in Incompressible Fluids

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:00:00.749069Z

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.

Observation beefce5b-e8bf-45bb-a65a-53eb86bbc67f · inbound

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$) cites this paper.

2D inviscid Boussinesq equations and 3D axisymmetric Euler equations: (1) A unification ($Em$), (2) Finite-time blow-up of two unified $(1+1)$D systems rigorously derived from ($Em$) From Instability to Singularity Formation in Incompressible Fluids

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:59:53.009487Z

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.

Observation 1ff3cfe3-be0e-4d08-b1fd-bc1135cecbfd · inbound

Incompressible Euler fluids on compact cohomogeneity one manifolds cites this paper.

Incompressible Euler fluids on compact cohomogeneity one manifolds From Instability to Singularity Formation in Incompressible Fluids

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:51:02.644736Z

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.

Observation 3771e642-e220-466b-84d5-6ab3a88f4280 · inbound

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior cites this paper.

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior From Instability to Singularity Formation in Incompressible Fluids

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-15T03:14:52.930221Z

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.

Observation df4fa5d2-178c-4c1d-be5b-531fa0916926 · inbound

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior cites this paper.

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-20T20:28:59.707489Z

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.

Observation 317d5420-3013-4e12-ad6c-ef9de9a7c2b4 · inbound

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles cites this paper.

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity I: $C^{\infty}$ 1D Limiting Profiles From Instability to Singularity Formation in Incompressible Fluids

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-15T03:03:57.719568Z

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.

Observation c6f915f7-8f41-42f6-a0db-ca0fa5e9d50c · inbound

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system cites this paper.

A unified Boussinesq--Euler formulation and finite-time blow-up for a Hou--Luo type boundary-jet system From Instability to Singularity Formation in Incompressible Fluids

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-05-21T00:44:18.205640Z

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.

Observation 15b38f2f-60b7-419d-9763-54524f1127bf · inbound

Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force cites this paper.

Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force From Instability to Singularity Formation in Incompressible Fluids

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-29T06:33:12.151880Z

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.

Observation 2c181fb2-600f-4860-9098-ec6822a83c11 · inbound

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl cites this paper.

A conditional Lagrangian clock barrier at the $C^{1,\frac{1}{3}}$ threshold for axisymmetric Euler without swirl From Instability to Singularity Formation in Incompressible Fluids

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T20:16:11.599397Z

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.

Observation 6c107449-7191-450e-9c98-04ab8536aaa8 · inbound

Global regularity of the 2D fractional Boussinesq equations with subcritical dissipation cites this paper.

Global regularity of the 2D fractional Boussinesq equations with subcritical dissipation From Instability to Singularity Formation in Incompressible Fluids

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-07-02T04:06:35.632262Z

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.

Observation be4a7ce9-4ecb-4f81-9fce-e639dd433572 · inbound

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity cites this paper.

Analytic finite-rank corrections for singularly weighted estimates in a computer-assisted proof of 3D Euler singularity From Instability to Singularity Formation in Incompressible Fluids

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T23:48:08.625611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.