Paper Citation Record · LEDGER

Data-driven discovery of the equations of turbulent convection

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2505.10109.

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

pith.paper-citation-record.v1
2505.10109 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:22:33.008494Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy32
unresolved6
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d82ffd30-40f6-4314-aedd-83bff7f8241c · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Data-driven discovery of the equations of turbulent convection , " * write output.state after.block = add.period write newline

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.763807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aa0722ae-5190-4cca-8f2d-95ea04961675 · outbound

This paper cites write newline.

Data-driven discovery of the equations of turbulent convection write newline

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.748226Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f670d464-1dd0-4dcc-bc8b-b8c03be07998 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of the equations of turbulent convection Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:22:33.732553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0477bd29-cfa1-4e37-9894-ff81fd6a96f5 · outbound

This paper cites and Spiteri R.J., Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations.

Data-driven discovery of the equations of turbulent convection and Spiteri R.J., Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.715605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0aa33ac1-951e-43a6-9a86-d3e2cdd6b93a · outbound

This paper cites 2023, Nonlinear Dynamics, 111, 6585–6604.

Data-driven discovery of the equations of turbulent convection 2023, Nonlinear Dynamics, 111, 6585–6604

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.700757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1ee9d12e-60da-456d-b491-239236078885 · outbound

This paper cites 2016, The Annals of Statistics, 44 (2), 813-852.

Data-driven discovery of the equations of turbulent convection 2016, The Annals of Statistics, 44 (2), 813-852

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.685999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1184df62-558b-4182-b84e-5a968fe61891 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of the equations of turbulent convection Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:22:33.670878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e5b5a3f5-7168-4c5f-b08c-31ea9a464602 · outbound

This paper cites Chapter 2 - Weak form-based data-driven modeling: Computationally efficient and noise robust equation learning and parameter inference, in Handbook of Numerical Analysis, vol.

Data-driven discovery of the equations of turbulent convection Chapter 2 - Weak form-based data-driven modeling: Computationally efficient and noise robust equation learning and parameter inference, in Handbook of Numerical Analysis, vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.654908Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c48a2d0-76a4-4bd1-8b1e-ac7ff591aaf3 · outbound

This paper cites and Kutz, J.N., Discovering governing equations from data by sparse identification of nonlinear dynamical systems.

Data-driven discovery of the equations of turbulent convection and Kutz, J.N., Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.639336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f909bddc-f428-4cbd-8e8e-909f739b33c9 · outbound

This paper cites Machine Learning for Partial Differential Equations.

Data-driven discovery of the equations of turbulent convection Machine Learning for Partial Differential Equations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T21:22:32.869847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec441712-d18a-480e-980f-b5ce59eb3536 · outbound

This paper cites and Brown, B.P., Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods.

Data-driven discovery of the equations of turbulent convection and Brown, B.P., Dedalus: A Flexible Framework for Numerical Simulations with Spectral Methods

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.624395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9a53a5cc-3da6-47e7-990f-fff276b2f249 · outbound

This paper cites 2019, Proceedings of the National Academy of Sciences, 116 (45), 22445-22451.

Data-driven discovery of the equations of turbulent convection 2019, Proceedings of the National Academy of Sciences, 116 (45), 22445-22451

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.609498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3268aa86-607d-483e-9f68-3493b9d0541a · outbound

This paper cites 2002, Physica D, 166, 239-257.

Data-driven discovery of the equations of turbulent convection 2002, Physica D, 166, 239-257

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.594529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d81ebdd-7be8-4f20-b119-6d6d27b3cbc6 · outbound

This paper cites 2008, Princeton University Press, ISBN:978-0-691-11836-9.

Data-driven discovery of the equations of turbulent convection 2008, Princeton University Press, ISBN:978-0-691-11836-9

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.580339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 90a7f3fc-9c0a-4c53-8c6a-b27a1c3fc0e0 · outbound

This paper cites 2022, Journal of Computational Physics, 448, 110733.

Data-driven discovery of the equations of turbulent convection 2022, Journal of Computational Physics, 448, 110733

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.565734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3022dc24-67b7-4d48-b634-576f0b959a99 · outbound

This paper cites Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy data.

Data-driven discovery of the equations of turbulent convection Rapid Bayesian identification of sparse nonlinear dynamics from scarce and noisy data

Reference 16

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T21:22:33.086825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 77d5e642-dc1b-4c74-9107-1328f770b825 · outbound

This paper cites and Stellmach, S., A model of the entropy flux and Reynolds stress in turbulence convection.

Data-driven discovery of the equations of turbulent convection and Stellmach, S., A model of the entropy flux and Reynolds stress in turbulence convection

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.551213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16e92ff5-d1c8-4a2e-af62-347b93892ea8 · outbound

This paper cites 2024, Proc.

Data-driven discovery of the equations of turbulent convection 2024, Proc

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.536707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ed9791b2-5b7f-4ca7-b33c-31f299de470e · outbound

This paper cites and Fernandez-Nieves, A., Physically informed data-driven modeling of active nematics.

Data-driven discovery of the equations of turbulent convection and Fernandez-Nieves, A., Physically informed data-driven modeling of active nematics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.521943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1d839bb-3ee1-4a3a-9485-d75fa48011ad · outbound

This paper cites Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight.

Data-driven discovery of the equations of turbulent convection Scalable Sparse Regression for Model Discovery: The Fast Lane to Insight

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T21:22:32.917809Z

Source-reported events for the cited work

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Observation fef6e566-4232-40f8-a178-2dbbbcca05c9 · outbound

This paper cites and Grigoriev, R.O., Robust and optimal sparse regression for nonlinear PDE models.

Data-driven discovery of the equations of turbulent convection and Grigoriev, R.O., Robust and optimal sparse regression for nonlinear PDE models

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.506534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6435db4e-aee4-4f42-80d2-1b80ec0c7065 · outbound

This paper cites and Grigoriev, R.O., Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER).

Data-driven discovery of the equations of turbulent convection and Grigoriev, R.O., Learning fluid physics from highly turbulent data using sparse physics-informed discovery of empirical relations (SPIDER)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.492283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 16a747c2-4828-4211-8a4a-5f533d5842e1 · outbound

This paper cites and Hassanzadeh, P., Learning closed-form equations for subgrid-scale closures from high-fidelity data: promises and challenges.

Data-driven discovery of the equations of turbulent convection and Hassanzadeh, P., Learning closed-form equations for subgrid-scale closures from high-fidelity data: promises and challenges

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.477394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c0564317-73ac-47ce-8a56-189a00f77f65 · outbound

This paper cites 2020, Proc.

Data-driven discovery of the equations of turbulent convection 2020, Proc

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.461866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2d3bc344-6d66-4da1-a27c-9ee09ad1692e · outbound

This paper cites 2021, Phys.

Data-driven discovery of the equations of turbulent convection 2021, Phys

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.446608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2d0405a4-3ad7-47de-9e74-4de6b0e4f808 · outbound

This paper cites Benchmarking sparse system identification with low-dimensional chaos.

Data-driven discovery of the equations of turbulent convection Benchmarking sparse system identification with low-dimensional chaos

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.432439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 81049232-f185-4e51-b7b7-34657ce25547 · outbound

This paper cites and Tobias, S.M.

Data-driven discovery of the equations of turbulent convection and Tobias, S.M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.417050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e2040844-b06b-4ab2-a6d1-95c5dc123067 · outbound

This paper cites and Bortz, D.M., Weak SINDy for Partial Differential Equations.

Data-driven discovery of the equations of turbulent convection and Bortz, D.M., Weak SINDy for Partial Differential Equations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.290593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6fcf56ca-c376-4939-9c16-1baf46d4fd49 · outbound

This paper cites and Yalla, G.R., Statistical Properties of Subgrid-Scale Turbulence Models.

Data-driven discovery of the equations of turbulent convection and Yalla, G.R., Statistical Properties of Subgrid-Scale Turbulence Models

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.275421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fd29329e-7c62-4e77-a4c8-6f020c2c4de1 · outbound

This paper cites and Grigoriev, R.O., Data-driven discovery of partial differential equation models with latent variables.

Data-driven discovery of the equations of turbulent convection and Grigoriev, R.O., Data-driven discovery of partial differential equation models with latent variables

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.255300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 527b3b9e-a53c-4ac2-b230-53b1a858ea57 · outbound

This paper cites and Grigoriev, R.O., Using noisy or incomplete data to discover models of spatiotemporal dynamics.

Data-driven discovery of the equations of turbulent convection and Grigoriev, R.O., Using noisy or incomplete data to discover models of spatiotemporal dynamics

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.239375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ce4b2373-4d15-4cb6-a180-da933bcbc1e3 · outbound

This paper cites and Grigoriev, R.O., Robust learning from noisy, incomplete, high-dimensional experimental data via physically constrained symbolic regression.

Data-driven discovery of the equations of turbulent convection and Grigoriev, R.O., Robust learning from noisy, incomplete, high-dimensional experimental data via physically constrained symbolic regression

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.222503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b163f4ea-8806-4232-abd7-c9008eb0e82e · outbound

This paper cites and Kutz, J.N.

Data-driven discovery of the equations of turbulent convection and Kutz, J.N

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.206055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e5f9fafd-13bc-461e-aaeb-d68d99b87f13 · outbound

This paper cites an unresolved cited work.

Data-driven discovery of the equations of turbulent convection Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:22:33.189012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8ba47c31-bbd7-4af5-97d7-3120744e4045 · outbound

This paper cites and Ward, R., Extracting Sparse High-Dimensional Dynamics from Limited Data.

Data-driven discovery of the equations of turbulent convection and Ward, R., Extracting Sparse High-Dimensional Dynamics from Limited Data

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.171088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f7ee61d-d50c-4780-86b0-c5206d4c2987 · outbound

This paper cites 2020, Journal of Open Source Software, 5(49), 2104.

Data-driven discovery of the equations of turbulent convection 2020, Journal of Open Source Software, 5(49), 2104

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.153869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a01b0357-a1c2-4e8e-8ec5-5675a522ac5c · outbound

This paper cites an unresolved cited work.

Data-driven discovery of the equations of turbulent convection Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T21:22:33.138204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3426c250-68ca-4507-9719-2f647c5e9283 · outbound

This paper cites 2020, Geophysical Research Letters, 47, e2020GL088376.

Data-driven discovery of the equations of turbulent convection 2020, Geophysical Research Letters, 47, e2020GL088376

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.120102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 93d18a5d-656d-4ed6-9955-dd972b29b4b8 · outbound

This paper cites 2018, PRL, 120, 144502.

Data-driven discovery of the equations of turbulent convection 2018, PRL, 120, 144502

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T21:22:33.103191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.