Paper Citation Record · LEDGER

Solver-in-the-loop approach to closure of shell models of turbulence

As of 22 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2411.13194.

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

pith.paper-citation-record.v1
2411.13194 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:48:33.584549Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

43 of 43 outbound references displayed

verified exact4
verified fuzzy15
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 099b21ce-2099-4f86-9d8d-6d3de2ac32b1 · outbound

This paper cites Frisch, Turbulence: The legacy of A.

Solver-in-the-loop approach to closure of shell models of turbulence Frisch, Turbulence: The legacy of A

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:32.869597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0863de8c-c3b2-4ab7-8dc1-aa6be0e7b922 · outbound

This paper cites Alexakis and L.

Solver-in-the-loop approach to closure of shell models of turbulence Alexakis and L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:32.947751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2a74846-b51f-4a50-a67d-9bc6945ca1ba · outbound

This paper cites Meneveau and J.

Solver-in-the-loop approach to closure of shell models of turbulence Meneveau and J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:32.982580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 706c5305-6382-4f3a-8a82-312030abce44 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.602562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5df54345-b2ee-419d-9fed-f945314ea33a · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.509730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e043504e-e70f-4e2f-982d-0e71f54d076c · outbound

This paper cites Sagaut, Large Eddy Simulation for Incompressible Flows: An Introduction (Springer, 2006).

Solver-in-the-loop approach to closure of shell models of turbulence Sagaut, Large Eddy Simulation for Incompressible Flows: An Introduction (Springer, 2006)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.468347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b565256-ed3d-40bb-b676-fcf5ce82ba2f · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.451933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c87e78bb-6e4e-4338-9508-331ab2aec170 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.433542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1953e42d-6011-40db-be5a-0349bda1d1d3 · outbound

This paper cites Maulik, O.

Solver-in-the-loop approach to closure of shell models of turbulence Maulik, O

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.018355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a187358d-1d34-4968-8540-e851c7ec93f7 · outbound

This paper cites Maulik, O.

Solver-in-the-loop approach to closure of shell models of turbulence Maulik, O

Reference 10

Resolution: verified exact; doi, observed 2026-08-12T16:48:33.968433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1fa18f3d-a7f3-413a-a30f-f6de0bb3e5c1 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 11

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T16:48:34.297938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e03674a1-2547-41d2-b335-8f8aa604e2eb · outbound

This paper cites Frezat, G.

Solver-in-the-loop approach to closure of shell models of turbulence Frezat, G

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.033391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7384aeb3-cef4-4d01-862e-485fd4e4b4ea · outbound

This paper cites Novati, H.

Solver-in-the-loop approach to closure of shell models of turbulence Novati, H

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.039361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f8fd7f3-46f7-4904-9f38-1150b374dd3e · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.043769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1efa8b07-61d4-48d2-a091-242f8e85e504 · outbound

This paper cites Biferale, Shell models of energy cascade in turbulence, Annual Review of Fluid Mechanics 35, 441 (2003).

Solver-in-the-loop approach to closure of shell models of turbulence Biferale, Shell models of energy cascade in turbulence, Annual Review of Fluid Mechanics 35, 441 (2003)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.415494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f501d929-b59a-486c-b8e2-b2aac973f67c · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.379400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 18fcac97-d7ce-468f-a6cd-e138e1e4da69 · outbound

This paper cites Hattori, R.

Solver-in-the-loop approach to closure of shell models of turbulence Hattori, R

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.256483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 911782c0-5c5b-45d8-896c-39c64ecf8ccf · outbound

This paper cites Mingshun and L.

Solver-in-the-loop approach to closure of shell models of turbulence Mingshun and L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.206956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f086548f-2898-4fde-b933-d6fe1c78d82d · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.191521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d5bea15-f190-45a4-96ae-13ae435556c8 · outbound

This paper cites Plunian, R.

Solver-in-the-loop approach to closure of shell models of turbulence Plunian, R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.173722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1a1bc337-c486-44e0-9e6b-e06d92008f17 · outbound

This paper cites Benzi, L.

Solver-in-the-loop approach to closure of shell models of turbulence Benzi, L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:35.133349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d6662067-b105-4ec1-8f2a-ba567aa5eff5 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:35.006643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93d51bfb-f599-4160-860a-0e89e3da5af6 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.236699Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76fe001c-671a-4279-adf6-74d507eb452a · outbound

This paper cites Bandak, A.

Solver-in-the-loop approach to closure of shell models of turbulence Bandak, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.972153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0fbb089d-e681-4b14-a3f2-ae59b2d9813f · outbound

This paper cites Constantin, B.

Solver-in-the-loop approach to closure of shell models of turbulence Constantin, B

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.954531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8064bcdb-db8e-4852-8582-0742327a799f · outbound

This paper cites Daumont, T.

Solver-in-the-loop approach to closure of shell models of turbulence Daumont, T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.889286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ffb72d38-0d1f-4085-9453-d7dcb4c6c559 · outbound

This paper cites Vinuesa and S.

Solver-in-the-loop approach to closure of shell models of turbulence Vinuesa and S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.804372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9314e87-97dc-4edf-9fc1-1076fffc833c · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:34.789418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fcb7a9e3-2466-474c-ba2f-ffd0f1e62e6f · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.486485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c409f29f-2f9d-40a0-a453-22d1cfc76902 · outbound

This paper cites Biferale, A.

Solver-in-the-loop approach to closure of shell models of turbulence Biferale, A

Reference 30

Resolution: verified exact; doi, observed 2026-08-12T16:48:33.922011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 701e0264-e41b-44ea-a753-357320b4e514 · outbound

This paper cites Ortali, A.

Solver-in-the-loop approach to closure of shell models of turbulence Ortali, A

Reference 31

Resolution: verified exact; doi, observed 2026-08-12T16:48:33.902384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 06cf8b6a-4200-43a4-a4d8-f3681e4a9c45 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-08-12T16:48:33.809929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4885531-524b-4b1d-a089-d03d9fe5cf4d · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:34.776750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d745104-6994-497d-a12b-c8da02bdaa6d · outbound

This paper cites Differentiability in Unrolled Training of Neural Physics Simulators on Transient Dynamics.

Solver-in-the-loop approach to closure of shell models of turbulence Differentiability in Unrolled Training of Neural Physics Simulators on Transient Dynamics

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.514846Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9e63276-6d39-47c9-b85b-3836198e5860 · outbound

This paper cites Fukushima, Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position, Biological Cybernetics36, 193–202 (1980).

Solver-in-the-loop approach to closure of shell models of turbulence Fukushima, Neocognitron: A self-organizing neural network model for a mechanism of pattern recognition unaffected by shift in position, Biological Cybernetics36, 193–202 (1980)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.761501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ec576809-549f-4ef5-b924-59b13b0e99bc · outbound

This paper cites Sirignano, J.

Solver-in-the-loop approach to closure of shell models of turbulence Sirignano, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.705710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dcd8cdb0-252c-4fdd-9aa5-0e16801c177c · outbound

This paper cites Shankar, V.

Solver-in-the-loop approach to closure of shell models of turbulence Shankar, V

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.577249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 285a71b4-a42e-4962-bdb6-490e0d6eecad · outbound

This paper cites Differentiable Turbulence: Closure as a partial differential equation constrained optimization.

Solver-in-the-loop approach to closure of shell models of turbulence Differentiable Turbulence: Closure as a partial differential equation constrained optimization

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.537531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 086c5f64-34ac-4d8d-81bc-48eeee424e66 · outbound

This paper cites Cheng and D.

Solver-in-the-loop approach to closure of shell models of turbulence Cheng and D

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-12T16:48:33.541669Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6495d54-abaa-4589-b86b-8311a8689136 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:34.540662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b2c22aae-7c04-4108-b5ab-3a62eadcb774 · outbound

This paper cites She and E.

Solver-in-the-loop approach to closure of shell models of turbulence She and E

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.505853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 794eb9bc-577c-49a5-9e3e-513a28feefbd · outbound

This paper cites Hochreiter and J.

Solver-in-the-loop approach to closure of shell models of turbulence Hochreiter and J

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T16:48:34.463494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 16382818-d91a-4134-a564-e572c043a786 · outbound

This paper cites an unresolved cited work.

Solver-in-the-loop approach to closure of shell models of turbulence Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-12T16:48:34.422983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.