Paper Citation Record · LEDGER

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis

As of 23 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2507.15159.

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

pith.paper-citation-record.v1
2507.15159 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:51:33.738532Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T06:03:19.344176Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T06:07:07.577587Z

Reference resolution

35 of 35 outbound references displayed

verified exact0
verified fuzzy32
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e957f59-aefa-4fc5-b659-5a90f4fe4c45 · outbound

This paper cites To see this, note first that the integral over the 8 inner regime q⊥ ≪ 1/ξlin ⊥ , qx ≪ 1/ξlin ∥ , ω ≪ 1/τ lin corr con- verges.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis To see this, note first that the integral over the 8 inner regime q⊥ ≪ 1/ξlin ⊥ , qx ≪ 1/ξlin ∥ , ω ≪ 1/τ lin corr con- verges

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.495886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f67dfd70-0405-42c8-bb0d-849751763504 · outbound

This paper cites Dropping these terms and setting t = 0 leaves us with C(r, 0) = Z ddq dω (2π)d+1 2Dxq4 ⊥ eiq·r ω2q4 ⊥ + µ⊥ q4 ⊥ + wq2x 2.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Dropping these terms and setting t = 0 leaves us with C(r, 0) = Z ddq dω (2π)d+1 2Dxq4 ⊥ eiq·r ω2q4 ⊥ + µ⊥ q4 ⊥ + wq2x 2

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.471178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d7266f64-be79-4adf-9a10-244f2b538707 · outbound

This paper cites an unresolved cited work.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:51:34.442509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b1df8282-875f-4a39-9196-89a0b2e3e84f · outbound

This paper cites roughness.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis roughness

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.405286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 54b1c7ac-bbf5-48d7-b86f-3899bd5ee138 · outbound

This paper cites fast” and “slow.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis fast” and “slow

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.382689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 71de0ade-3b37-412f-8629-f76dd3238d51 · outbound

This paper cites This can be done using the dynamic RG [18].

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis This can be done using the dynamic RG [18]

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.356989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a41a3b20-897a-478b-8b5d-a4f94952479b · outbound

This paper cites dynamical.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis dynamical

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.336337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 956c6b94-7ee5-476c-b994-455668074533 · outbound

This paper cites For a detailed description of how this is done, see [18].

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis For a detailed description of how this is done, see [18]

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.317342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 169df6c1-df83-4ab2-884a-9437960fb20a · outbound

This paper cites This implies that the effects of the non-linearity will vanish at large length scales for these higher spatial dimensions.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis This implies that the effects of the non-linearity will vanish at large length scales for these higher spatial dimensions

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.302379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 998e0be0-c535-4221-81df-398402d8f41c · outbound

This paper cites Gaussian.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Gaussian

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.280820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b0ba30c3-c965-47bb-96ae-fc4583c2e6ff · outbound

This paper cites thermal eigenvalue.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis thermal eigenvalue

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.264547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation ccd961e9-ed42-42b3-a1a4-e64c50d25ebb · outbound

This paper cites Novel Type of Phase Transition in a System of Self-Driven Particles,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Novel Type of Phase Transition in a System of Self-Driven Particles,

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.247927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c7500fb2-f7ef-492d-a1a3-851d8ded2a18 · outbound

This paper cites Hydrodynamics and phases of flocks,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Hydrodynamics and phases of flocks,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.227952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0a57a453-7be6-4886-9cd1-46628aae03f0 · outbound

This paper cites Hydrodynamics of soft active matter,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Hydrodynamics of soft active matter,

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.206644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5b3eab8c-40e9-4e50-b650-b4aec96f636b · outbound

This paper cites Long-Range Or- der in a Two-Dimensional Dynamical XY Model: How Birds Fly Together,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Long-Range Or- der in a Two-Dimensional Dynamical XY Model: How Birds Fly Together,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.186756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b0cbecd-2627-448f-8a6a-5890bc802ebd · outbound

This paper cites Flocks, herds, and schools: A quantitative theory of flocking,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Flocks, herds, and schools: A quantitative theory of flocking,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.166163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 967096d9-b23c-434e-84db-bac7af9310e8 · outbound

This paper cites Emergence of macroscopic directed motion in populations of motile colloids,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Emergence of macroscopic directed motion in populations of motile colloids,

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.142395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d6ca4602-7f8b-47f1-9249-53278e0219ea · outbound

This paper cites Migra- tion of tumor cells in 3D matrices is governed by matrix stiffness along with cell-matrix adhesion and proteolysis,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Migra- tion of tumor cells in 3D matrices is governed by matrix stiffness along with cell-matrix adhesion and proteolysis,

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.118163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 07a3cff1-3cc6-4320-a543-b36d9927466a · outbound

This paper cites Phase transitions in stationary nonequi- librium states of model lattice systems,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Phase transitions in stationary nonequi- librium states of model lattice systems,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.093967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1cf13085-6a5c-412b-b028-5da6f6c61e17 · outbound

This paper cites Field the- ory of critical behaviour in driven diffusive systems,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Field the- ory of critical behaviour in driven diffusive systems,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.072412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b94b1df0-6d6d-4b5b-83a2-19f60f6cff97 · outbound

This paper cites Field theory of critical behavior in a driven diffusive system,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Field theory of critical behavior in a driven diffusive system,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.049930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2ebe4056-d10e-4538-8067-8747078c7d5c · outbound

This paper cites Critical Behavior of Magnets with Dipolar Interactions. V. Uniaxial Magnets in d Dimensions,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Critical Behavior of Magnets with Dipolar Interactions. V. Uniaxial Magnets in d Dimensions,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.029556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f38a5a80-59c4-4b5c-9f51-4eb12cb602dc · outbound

This paper cites Critical behavior of uniaxial systems with strong dipolar interactions,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Critical behavior of uniaxial systems with strong dipolar interactions,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:34.002473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1f0eab9d-2eb0-4be2-9215-06c4540ec157 · outbound

This paper cites Critical dy- namics and statics of uniaxial dipolar magnets,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Critical dy- namics and statics of uniaxial dipolar magnets,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.986940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0881042f-1c3d-4b82-9525-437737db9700 · outbound

This paper cites an unresolved cited work.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:51:33.972266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 81d8153d-8f60-4470-99c5-cd3952fbbae2 · outbound

This paper cites an unresolved cited work.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Unresolved cited work

Reference 26

Resolution: malformed identifier; no resolver link, observed 2026-08-06T15:51:33.136910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5ce4b05-7c32-46b5-9395-e5cd5a6ad943 · outbound

This paper cites Fiuctuation-dissipation the- orems for classical processes,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Fiuctuation-dissipation the- orems for classical processes,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.956957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4052b1cc-c114-439b-8d0a-1ba1cea5cecc · outbound

This paper cites Critical Exponents in 3.99 Dimensions,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Critical Exponents in 3.99 Dimensions,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.938683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3ccc57c1-1b40-4ed9-a492-2c68366b2d76 · outbound

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

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Large- distance and long-time properties of a randomly stirred fluid,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.920959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation af9baf59-f82f-4e66-b314-e6784f269aee · outbound

This paper cites Crossover scaling functions and renormalization-group trajectory integrals,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Crossover scaling functions and renormalization-group trajectory integrals,

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.902031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bdde2944-cd6b-4481-8a53-74b42529b17a · outbound

This paper cites Map- ping two-dimensional polar active fluids to two- dimensional soap and one-dimensional sandblasting,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Map- ping two-dimensional polar active fluids to two- dimensional soap and one-dimensional sandblasting,

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.882878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b934b9f0-e8dd-46be-a283-125570f5aede · outbound

This paper cites Squeezed in three dimensions, moving in two: Hy- drodynamic theory of three-dimensional in- compressible easy-plane polar active fluids,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Squeezed in three dimensions, moving in two: Hy- drodynamic theory of three-dimensional in- compressible easy-plane polar active fluids,

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.857252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e533ace4-ac6c-4925-9d9b-e4a121f54468 · outbound

This paper cites Birth, Death, and Flight: A Theory of Malthusian Flocks,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Birth, Death, and Flight: A Theory of Malthusian Flocks,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.835946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1f84da88-7ca4-477f-87c8-5d247acb4ca1 · outbound

This paper cites Crit- ical phenomenon of the order-disorder tran- sition in incompressible active fluids,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Crit- ical phenomenon of the order-disorder tran- sition in incompressible active fluids,

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.819109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1385bbfa-a405-40f9-863d-d63eefe1a883 · outbound

This paper cites Incompressible polar active fluids in the moving phase in dimensions d >2,.

The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis Incompressible polar active fluids in the moving phase in dimensions d >2,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:51:33.800931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 9cd2305a-6523-4086-9961-00be1b9cafc3 · inbound

Liquid-Gas Criticality of Hyperuniform Fluids cites this paper.

Liquid-Gas Criticality of Hyperuniform Fluids The Order-disorder Transition in Incompressible Polar Active Fluids with an Easy Axis

Reference 143

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:07:07.579443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.