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Paper Citation Record · LEDGER

A Statistical Field Theory for Isotropic Turbulence

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:0f789514de23fef97eec2c954cf5528371dc67130962383fcdcd078a61dfead3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:c0f748d12c6da31197e8f62b56b075229648a8215efa0516a5d83baaec9bbba6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:cef8a18d5bbac91e9c848ec5b187bba195b128fb5a4ce4339e713278035dc3e5

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:8add8bc9070649b4f7687b7d2100951e0de75c10eb6b19f4187edbb37f1a53c0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:1c9910f2f8e142a588865d1e081794f67663bca0b1c62d05dc506ae283f327b1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:37b55d0b60c991f81d4b2a7c299960081b1afc74ffe3e35a251016ea4e334169

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:aafdde2b258235a50bb2308703c8e4a81a5ff67978a2f1a76ff3c8c254094533

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:e4d8242bfe31b9e13006fc1bbbee9cdf496d39bc163189dfd9f3667dbed20ad1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:8af44fdb6d11872053ed8400dda46a8279f06362ad039bc8de0a0a55b3eee2cb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:d1d9cc3410fd55be1ff8d1c7ed75c0d815d9c2aa5d4c977d2e40557e448a1c41

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:38f8602640da49338109ba0d40c0d64d2d83030682d8ee1102d374426202f436

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:03451686e0fc84a4779935c4c4f4b5bc34e9b34ee6fcbbf89289853b2e6ffef7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-10T01:32:47.271569Z digest=sha256:01b4a3b23c083abab4fabfbc6aefbbbd0140cd53c3a2f86fdeaa4d61c0ebe464

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:ba4d1dabcf7cd4493263ebfaef01bb04275256fbc01bd766060472585244f23a