Paper Citation Record · LEDGER

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows

As of 10 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2605.26416.

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

pith.paper-citation-record.v1
2605.26416 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T17:05:35.899781Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

31 of 31 outbound references displayed

verified exact4
verified fuzzy20
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50ffcd4d-a8fb-4b36-a30d-128bcf742522 · outbound

This paper cites Balajewicz, Earl H.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Balajewicz, Earl H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.369960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4339ab1e-be4b-4368-8c2c-10908c9b0477 · outbound

This paper cites Benner, S.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Benner, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.386746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bbe8e43c-5a63-4c73-ac8b-923a80591399 · outbound

This paper cites Bergmann.Optimisation A ´erodynamique par R ´eduction de Mod `ele POD et Contr ˆole Optimal: Application au Sillage Laminaire d’un Cylindre Circulaire.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Bergmann.Optimisation A ´erodynamique par R ´eduction de Mod `ele POD et Contr ˆole Optimal: Application au Sillage Laminaire d’un Cylindre Circulaire

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.398183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c2352da1-3417-4c2c-8cf0-0488515ce154 · outbound

This paper cites The proper orthogonal decomposition in the analysis of turbulent flows.Annual review of fluid mechanics, 25(1):539–575.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows The proper orthogonal decomposition in the analysis of turbulent flows.Annual review of fluid mechanics, 25(1):539–575

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.395998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a85f429b-5f87-4aed-8070-1af56f143531 · outbound

This paper cites Bourguet, M.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Bourguet, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.400442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b3948531-0af3-41a0-82ba-9de9791d9b46 · outbound

This paper cites On the role of nonlinear correlations in reduced-order modeling.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows On the role of nonlinear correlations in reduced-order modeling

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-01T17:05:50.225642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d2e82515-94b0-439d-9339-a9b09c4c2057 · outbound

This paper cites Mohan, Datta V.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Mohan, Datta V

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.406148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a2f97f21-a780-4eef-9317-95439b6ca6b6 · outbound

This paper cites Chinesta, A.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Chinesta, A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.407790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 793b3280-ee8e-4ce4-9ca0-8ae049a20bb7 · outbound

This paper cites Cordier, B.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Cordier, B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.411130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 966f3097-f49e-4122-b7d4-6b8d03bfd2ee · outbound

This paper cites Couplet, C.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Couplet, C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.416017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation e6c12ce2-6397-4e98-9884-0571dd087b8b · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.393543Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f6447abd-c10b-43c5-bd24-0759341f978b · outbound

This paper cites Deshmukh, J.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Deshmukh, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.391872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ef1593ae-d640-42d5-b5ae-ec345134f755 · outbound

This paper cites McNamara, Zongxian Liang, J.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows McNamara, Zongxian Liang, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.402195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3656e7db-89b8-4458-a2e1-fbc8e71bcc6c · outbound

This paper cites Gad-el Hak.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Gad-el Hak

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.404246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ae45141f-bcd2-4abf-8760-efce324fbcc1 · outbound

This paper cites Hochreiter and J.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Hochreiter and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.409512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 70b727ac-e517-412c-b776-384d21b0afde · outbound

This paper cites Holmes, J.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Holmes, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.412689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8bc671ad-ad26-4d93-8987-4eb89f997c0b · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.414204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 984b2866-c639-4637-ad0f-2177d0247d28 · outbound

This paper cites Kalashnikova, B.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Kalashnikova, B

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.379241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a3210b6c-d369-439a-82ff-af08ea1be7cf · outbound

This paper cites Lorenzi, A.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Lorenzi, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.380881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8243f9a5-e983-4bb4-95ff-1762447c9ab9 · outbound

This paper cites Physics-informed time- integrated deeponet: Temporal tangent space operator learning for high-accuracy inference.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Physics-informed time- integrated deeponet: Temporal tangent space operator learning for high-accuracy inference

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.368115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 4dd8b8db-b402-4b73-8718-437cdd9d47e7 · outbound

This paper cites Mittal, H.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Mittal, H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.384838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7fa1fede-318f-48dd-ab03-f2df6f760066 · outbound

This paper cites Compressed Convolutional LSTM: An Efficient Deep Learning framework to Model High Fidelity 3D Turbulence.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Compressed Convolutional LSTM: An Efficient Deep Learning framework to Model High Fidelity 3D Turbulence

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-07-01T17:05:50.227021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation caa7c59e-702a-4a0a-990a-4e243813b20a · outbound

This paper cites A Deep Learning based Approach to Reduced Order Modeling for Turbulent Flow Control using LSTM Neural Networks.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows A Deep Learning based Approach to Reduced Order Modeling for Turbulent Flow Control using LSTM Neural Networks

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-07-01T17:05:50.216980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3fa041ef-344b-4f29-ba07-50635187441e · outbound

This paper cites Learning Stable Galerkin Models of Turbulence with Differentiable Programming.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Learning Stable Galerkin Models of Turbulence with Differentiable Programming

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-01T17:05:50.220161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation b7c1c620-77de-4873-a203-5edecf80f2da · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.388395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation bc456210-d3cd-4e8a-b305-3fd409d20785 · outbound

This paper cites Noack, P.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Noack, P

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.372029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 75441bb0-0446-429d-bd57-d7c9eed33fc0 · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.375457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ffb62d71-4f2b-4042-8b85-9c5ac6e11d22 · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.377485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation fb09106d-0565-428a-9854-b7bc3a0c6414 · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.373832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 29c7e053-e66d-40bf-9656-36432c092211 · outbound

This paper cites an unresolved cited work.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-07-06T10:22:19.390119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 8b8ea33b-a61a-4953-a915-23cff0728465 · outbound

This paper cites Turbulence and the dynamics of coherent structures.

A Differentiable Programming Framework for Accurate and Stable Reduced-Order Modeling of Chaotic Flows Turbulence and the dynamics of coherent structures

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T10:22:19.382919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.