Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2505.20988.

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

pith.paper-citation-record.v1
2505.20988 v3

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:48:52.954228Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy27
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3cd9bec4-5ec2-432d-a445-f83fdbc83e0d · outbound

This paper cites Bedrossian, R.

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 Bedrossian, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:04.044572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 283d169f-3c9e-44b8-bebd-87e1fd8bb336 · outbound

This paper cites Bianchini, L.E.

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 Bianchini, L.E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:01.364969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 511841fb-22b4-4631-9f87-52439a8208ed · outbound

This paper cites Boussinesq.

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 Boussinesq

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:00.789307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b7c91174-d3b6-44e1-8954-3cec83dfd579 · outbound

This paper cites Chae and P.

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 Chae and P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:00.567439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f77dfc41-4c01-4abf-b861-3d6f4a2d4134 · outbound

This paper cites Chae and H.-S.

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 Chae and H.-S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:00.369276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 956a3b03-6301-4d70-803a-9523f58d9ce9 · outbound

This paper cites Chae, S-K.

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 Chae, S-K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:49:00.180149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ddcc2ff-ed21-4a6c-b923-f77d694f1cd3 · outbound

This paper cites Chae and J.

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 Chae and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:59.935420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e830ce23-4d78-4334-8340-82161f61d635 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:59.683755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5c83b933-c4f8-494d-8173-b81e037f096e · outbound

This paper cites Chen and T.

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 Chen and T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:59.387050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 224c5335-efcb-427e-8a0e-1936813e7445 · outbound

This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.

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 Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:49.012164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62e7e903-72b9-4a3d-b017-c8398146e796 · outbound

This paper cites Chen and T.

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 Chen and T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:59.170254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1bb51080-84d0-4e0b-ba78-3491c084b1c4 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:58.956584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 67746bdf-1b68-4fc4-9345-82670c1736cb · outbound

This paper cites Constantin.

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 Constantin

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:58.749402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b2de64bb-5385-4da4-93b1-1e9420732421 · outbound

This paper cites C´ ordoba, A.

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 C´ ordoba, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:58.533395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 35792aec-14fb-4ad5-8b84-1a21ca9eecbe · outbound

This paper cites Blow-up for the incompressible 3D-Euler equations with uniform $C^{1,\frac{1}{2}-\epsilon}\cap L^2$ force.

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 Blow-up for the incompressible 3D-Euler equations with uniform $C^{1,\frac{1}{2}-\epsilon}\cap L^2$ force

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:49.771594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdbc1c8e-4b6c-45be-9a77-a99d930c8267 · outbound

This paper cites C´ ordoba, L.

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 C´ ordoba, L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:58.318279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9377b846-5bbf-43e3-8ee3-d7342c56103a · outbound

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

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 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 17

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:49.954792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcedbb12-dcd4-4dd7-bb61-1f4fabbd7e49 · outbound

This paper cites Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source.

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 Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:50.074200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b33fb309-5876-48a5-a0e1-3a11b0872f72 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:58.100575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f8783334-af4e-4be5-86cb-b110e0b5b8c0 · outbound

This paper cites E and C.-W.

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 E and C.-W

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:57.904327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5ff71b79-aade-49e6-829a-f08e7dc57411 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:57.690611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b4fde1e8-df53-4180-a105-82358a2b6a73 · outbound

This paper cites Elgindi, T.-E.

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 Elgindi, T.-E

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:57.447672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4cc4ff40-b2c6-433f-8ef8-a2b56002bf1c · outbound

This paper cites Elgindi and I.-J.

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 Elgindi and I.-J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:57.251485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b290188d-9719-4542-989b-199e3175ce39 · outbound

This paper cites Elgindi and I.-J.

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 Elgindi and I.-J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:57.023889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f3c3c553-7ed7-43c4-aedc-278609ec58bb · outbound

This paper cites From Instability to Singularity Formation in Incompressible Fluids.

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 ab939021-ae3a-4f1c-bc6c-1725ed34e637 · outbound

This paper cites Elgindi and F.

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 Elgindi and F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:56.774046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 03bea8cb-afef-4e7f-9bc9-ad56dc3f4f37 · outbound

This paper cites Elgindi and K.

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 Elgindi and K

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:56.564841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 66284465-dd92-43d5-adf3-6b034a475433 · outbound

This paper cites Huang, X.

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 Huang, X

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:56.326041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7d59d8c4-4f46-454b-baed-9bdb30210011 · outbound

This paper cites Kiselev, J.

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 Kiselev, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:56.132025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24aa84dd-5cac-43bb-89a9-3a8d05474c8f · outbound

This paper cites Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation.

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 Long-time stability of a stably stratified rest state in the inviscid 2D Boussinesq equation

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T13:48:51.586776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96a810ff-c02c-404a-b3d4-1ee52dad38a4 · outbound

This paper cites Luo and T.

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 Luo and T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:55.889309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2a30e508-1451-4fab-b981-45244b04cce2 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:55.652655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 68db79b6-7c70-4759-92a5-0b7d3747f54c · outbound

This paper cites Majda and A.L.

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 Majda and A.L

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:55.348168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9473884a-9a27-4d3a-a3ac-838960e12b0d · outbound

This paper cites Masmoudi, B.

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 Masmoudi, B

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:55.074220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e325745f-71e3-4ea6-81c9-e3554340d92c · outbound

This paper cites Oberbeck.

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 Oberbeck

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:54.738013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 763c53a1-f8b3-4436-8630-b7944bbca8c9 · outbound

This paper cites Pumir and E.D.

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 Pumir and E.D

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:54.377667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 167cdcad-5cb7-452e-8c61-ae9b99bcde58 · outbound

This paper cites Rieutord.

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 Rieutord

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:54.136827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36af2fe3-14af-4394-9f2b-28b1484bacd7 · outbound

This paper cites Sarria and J.

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 Sarria and J

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:48:53.823625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51355357-81d1-4bcb-97f2-3c440cb8b084 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:53.582690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1cd21123-376d-4adc-bdea-0c4351d2d3e8 · outbound

This paper cites an unresolved cited work.

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 Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:48:53.336418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.