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Paper Citation Record · LEDGER

A Statistical Field Theory for Isotropic Turbulence

As of 6 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2604.19458.

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

pith.paper-citation-record.v1
2604.19458 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T01:32:47.271569Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T08:17:05.101131Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14d3b243-1313-4b2f-a352-b164d89c4bfb · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.852639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:d43bfb6c05b0f2c7004a4751e0c3535fc7bb52bc572202e18573315425a7fa60

Observation 374b7a20-347e-4d66-a1be-7661e0ba119c · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.856079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:4a9bb8239a5f6e627dfd503343c07c953288f03a279f3fd21476400f9883e729

Observation efc61c3c-223b-495d-bef0-e4af90ff8634 · outbound

This paper cites Bradsha w,Compressible turbulent shear layers, Annual Review of Fluid Mechanics, 9 (1977), pp.

A Statistical Field Theory for Isotropic Turbulence Bradsha w,Compressible turbulent shear layers, Annual Review of Fluid Mechanics, 9 (1977), pp

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.838053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:7c280f50dd5d372720c35ff30469be16e219a8618bd791e6aea32bbea8449a43

Observation 55ef080c-593f-4de7-a468-3223ecb08cd1 · outbound

This paper cites F arooq,Beyond vorticity: An angular momentum perspective on fluid flow, To be submitted to HAL.SCIENCE, (2026).

A Statistical Field Theory for Isotropic Turbulence F arooq,Beyond vorticity: An angular momentum perspective on fluid flow, To be submitted to HAL.SCIENCE, (2026)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.834025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:bcd65574254d29477c305153b753c00d7506a5771a3a8a6fa175f7a1e9656941

Observation d2c4c845-0bd5-4dc5-b74e-00d16bfd96a7 · outbound

This paper cites Gottlieb and S.

A Statistical Field Theory for Isotropic Turbulence Gottlieb and S

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.841735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:6adb941c05487b4e7e6beacee174a640b2802c71d4ef70d7baebcc48ab4522d4

Observation 7607ee17-cf36-46ca-9996-82bebdbd8394 · outbound

This paper cites Jeong and F.

A Statistical Field Theory for Isotropic Turbulence Jeong and F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.845371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:3ac55f445f80391c50c1c5874cca7653b0ffce4d1b7d5740f10e45ed1a5ce2e8

Observation 86a816ae-d8b2-4105-a55f-2aa276b44a3f · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.848995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:98e7c08e5d809c88e506d8191ee063ca61090baba34b564df3991bb784052266

Observation 140c0644-2326-46aa-b139-b8e24c21793a · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.859599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:2d0debf8efbf0bae882539c6b90dee352e79d94285caa7d48de3c212b61a9360

Observation 84f8bd54-07dd-462a-bfec-195df44a79b1 · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.863175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:09564983d0ba25f8ef66581ffb9bff86346f84e606f012e9d4faa8b1e50b5d05

Observation b48f6cd6-2100-4691-afcb-4f7a265310ac · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.826635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:b071b1889327faf485c188970a2e9a473dc9feb64c9f6f34c6e092f199c6f0f2

Observation 002d0b56-b5f4-4805-8f3f-b0002aa00ee4 · outbound

This paper cites an unresolved cited work.

A Statistical Field Theory for Isotropic Turbulence Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-23T09:22:48.823017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:cdeffd2d8b924b1280261323194639c97e7452b236c5b793c7024fe7975b06e3

Observation 40aa1ee2-9baa-46cf-a263-c66a8e17f294 · outbound

This paper cites Smagorinsky,General circulation experiments with the primitive equations: I.

A Statistical Field Theory for Isotropic Turbulence Smagorinsky,General circulation experiments with the primitive equations: I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.819047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:3af2f14e0900aa8afa015464cb51014b31c3aeb709665be12d561bc76ad1f27b

Observation 49f33c65-03ca-45c0-9427-fe7e9b78c008 · outbound

This paper cites Vincent and M.

A Statistical Field Theory for Isotropic Turbulence Vincent and M

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T09:22:48.830236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:7dd028a136ebe87b4579f1bd523a08d5cece176a0680865a8f2678dc88b55daa

Pith citing papers

Observation 72543e65-2c22-432a-ad61-2e0da7d6b3ab · inbound

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking cites this paper.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking A Statistical Field Theory for Isotropic Turbulence

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-11T08:17:05.101131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T08:17:05.101131Z digest=sha256:6557c24da43e6f11da3157890225468d067f67f9755a9406d1a2b71495f324e7