Paper Citation Record · LEDGER

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking

As of 14 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.05135.

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

pith.paper-citation-record.v1
2607.05135 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

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

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

42 of 42 outbound references displayed

verified exact0
verified fuzzy0
unresolved42
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2b522fca-36de-49f3-ace1-2b324aec5367 · outbound

This paper cites The spatial structure and statistical properties of homogeneous turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking The spatial structure and statistical properties of homogeneous turbulence,

Reference 1

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40aaebec-aed7-498d-b96b-de2a6730cad5 · outbound

This paper cites The structure of intense vorticity in isotropic turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking The structure of intense vorticity in isotropic turbulence,

Reference 2

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97ef96ed-4620-4223-91be-229359a831e0 · outbound

This paper cites SurlagéométriedifférentielledesgroupesdeLiededimensioninfinieetsesapplications à l’hydrodynamique des fluides parfaits,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking SurlagéométriedifférentielledesgroupesdeLiededimensioninfinieetsesapplications à l’hydrodynamique des fluides parfaits,

Reference 3

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b980b7c-63a2-4344-af45-d5cd73517587 · outbound

This paper cites Study of high-Reynolds number isotropic turbulence by direct numerical simulation,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Study of high-Reynolds number isotropic turbulence by direct numerical simulation,

Reference 4

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d25c5acd-ef15-459d-903a-b1bdb4c146e2 · outbound

This paper cites Beyond Vorticity: An Angular Momentum Perspective on Fluid Flow.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Beyond Vorticity: An Angular Momentum Perspective on Fluid Flow

Reference 5

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites A Statistical Field Theory for Isotropic Turbulence.

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.

Observation 302a0873-6394-4d62-b231-ad8e27ae9b52 · outbound

This paper cites Spatially developing turbulent boundary layer on a flat plate.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Spatially developing turbulent boundary layer on a flat plate

Reference 7

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3083c5f-0cd8-4a61-96b1-488b6ff0d2b9 · outbound

This paper cites E., and Weinstein, A.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking E., and Weinstein, A

Reference 8

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb616b11-ac64-420d-a6f0-0121cd60b944 · outbound

This paper cites an unresolved cited work.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Unresolved cited work

Reference 9

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46df9d99-1122-4607-926c-0d25705e6d35 · outbound

This paper cites an unresolved cited work.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Unresolved cited work

Reference 10

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b00786c4-1939-4bf4-804f-6f64450389a6 · outbound

This paper cites an unresolved cited work.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Unresolved cited work

Reference 11

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b74818c5-f21b-414d-ac10-c3be4f11131b · outbound

This paper cites K., and Ricca, R.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking K., and Ricca, R

Reference 12

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76ac13ab-d09a-4f88-bee9-9b0cacc7b7ec · outbound

This paper cites H., and He, Z.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking H., and He, Z

Reference 13

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31e0c72a-05e2-406a-9d42-9e93447d3556 · outbound

This paper cites P., and Polychronakos, A.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking P., and Polychronakos, A

Reference 14

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50ca9884-e463-4881-8e0a-5aa373fe3e99 · outbound

This paper cites D., Marsden, J.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking D., Marsden, J

Reference 15

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8021da6-db2b-4b21-a53a-bf5f72cb1710 · outbound

This paper cites Large-distance and long-time properties of a randomly stirred fluid,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Large-distance and long-time properties of a randomly stirred fluid,

Reference 16

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6da46a07-c72e-4e1a-99a9-e8b977230d6b · outbound

This paper cites Renormalization-group analysis of turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Renormalization-group analysis of turbulence,

Reference 17

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78365583-963a-4b1e-88c4-aa61f651616e · outbound

This paper cites The renormalization group method in statistical hydrodynamics,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking The renormalization group method in statistical hydrodynamics,

Reference 18

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32bca59c-5033-44b4-90eb-86763743e66e · outbound

This paper cites Two-field theory of incompressible-fluid turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Two-field theory of incompressible-fluid turbulence,

Reference 19

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e9cdc2b-2649-4cf6-8abe-da25577050c7 · outbound

This paper cites Turbulence: A Nonequilibrium Field Theory.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Turbulence: A Nonequilibrium Field Theory

Reference 20

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e360163c-eebb-45a7-80f6-2de8fb54e32e · outbound

This paper cites (2009).The geometry of infinite-dimensional groups.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking (2009).The geometry of infinite-dimensional groups

Reference 21

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c4cf482-a820-463a-98b2-ba25e4792a05 · outbound

This paper cites an unresolved cited work.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Unresolved cited work

Reference 22

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4d56a7af-065f-400b-a25a-550776002b28 · outbound

This paper cites Yang–Mills fluids and their symplectic structure,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Yang–Mills fluids and their symplectic structure,

Reference 23

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 081c115c-b0ce-48a8-afcd-ccb57d904e02 · outbound

This paper cites OddvariablesinclassicalmechanicsandinYang–Mills fluid dynamics,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking OddvariablesinclassicalmechanicsandinYang–Mills fluid dynamics,

Reference 24

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50bad6dd-b4ba-4f7f-b37f-6628f06160b6 · outbound

This paper cites Noncommuting gauge fields as a Lagrange fluid,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Noncommuting gauge fields as a Lagrange fluid,

Reference 25

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c70ef3ba-8798-4d4e-8f3c-c8a3aac6541d · outbound

This paper cites Gauge principle for flows of an ideal fluid,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Gauge principle for flows of an ideal fluid,

Reference 26

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d600307-78bf-46fe-ae14-a3f5f90aa9a8 · outbound

This paper cites Gauge principle and variational formulation for ideal fluids with reference to translation symmetry,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Gauge principle and variational formulation for ideal fluids with reference to translation symmetry,

Reference 27

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 50475a18-689c-4ead-8afa-8f02f4790aec · outbound

This paper cites Analogy between the electromagnetic and hydrodynamic equations: Application to turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Analogy between the electromagnetic and hydrodynamic equations: Application to turbulence,

Reference 28

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc1547b7-f613-4505-bfb1-55f5bd7b9926 · outbound

This paper cites Noncommutative metafluid dynamics,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Noncommutative metafluid dynamics,

Reference 29

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9ef740c-869f-4523-948d-22a0cdb1ff71 · outbound

This paper cites Continuum mechanics with torsion,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Continuum mechanics with torsion,

Reference 30

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25c1660c-7c60-4473-bdb5-7eb2e55689db · outbound

This paper cites Magnetic monopoles in unified gauge theories,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Magnetic monopoles in unified gauge theories,

Reference 31

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b7fa6f0-da3c-494e-b931-c43db9952038 · outbound

This paper cites Particle spectrum in quantum field theory,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Particle spectrum in quantum field theory,

Reference 32

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9af676e-21fd-4bfe-82e0-88add46f7b3d · outbound

This paper cites Stability of classical solutions,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Stability of classical solutions,

Reference 33

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b99b960-1eca-461d-8d32-0998666f05ee · outbound

This paper cites Exact classical solution for the ’t Hooft monopole and the Julia-Zee dyon,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Exact classical solution for the ’t Hooft monopole and the Julia-Zee dyon,

Reference 34

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f35b4ed-245c-45e5-ad7b-7a5441e8f7c0 · outbound

This paper cites On the Lamb vector divergence, evolution of pressure fields and Navier-Stokes regularity.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking On the Lamb vector divergence, evolution of pressure fields and Navier-Stokes regularity

Reference 35

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f76213bc-5c2b-4d45-89bb-d0d3c27290c0 · outbound

This paper cites an unresolved cited work.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Unresolved cited work

Reference 36

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc02007b-fefe-43f5-8701-bb44d802368a · outbound

This paper cites A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking A public turbulence database cluster and applications to study Lagrangian evolution of velocity increments,

Reference 37

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 698881bd-8d60-4ff3-b349-1879e0cd1ec6 · outbound

This paper cites Loop equation and area law in turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Loop equation and area law in turbulence,

Reference 38

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7177116f-818e-483a-a3cb-902c99748a46 · outbound

This paper cites On the velocity and dissipation signature of vortex tubes in isotropic turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking On the velocity and dissipation signature of vortex tubes in isotropic turbulence,

Reference 39

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cb33ad1-4eff-4057-aa1c-8055a2daf730 · outbound

This paper cites On the distribution of dissipation in turbulent flows,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking On the distribution of dissipation in turbulent flows,

Reference 40

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5064321-61b6-4afc-97ca-d8fc0c3702aa · outbound

This paper cites Geometry and clustering of intense structures in isotropic turbulence,.

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Geometry and clustering of intense structures in isotropic turbulence,

Reference 41

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1a8fd5d-6281-4c95-94d4-1c5fad86d4fc · outbound

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

An SO(3) Gauge Theory of Turbulence with Spontaneous Symmetry Breaking Frisch,Turbulence: The Legacy of A

Reference 42

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.