Paper Citation Record · LEDGER

Superexponential dissipation enhancement on $\mathbb{T}^d$

As of 19 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2509.02081.

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

pith.paper-citation-record.v1
2509.02081 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:17:31.199092Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T18:48:24.771370Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T04:29:34.446983Z

Reference resolution

37 of 37 outbound references displayed

verified exact4
verified fuzzy26
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 66c3d70b-b0a8-4683-8250-0c77a26193e6 · outbound

This paper cites Enhanced dissipation and H\"ormander 's hypoellipticity.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Enhanced dissipation and H\"ormander 's hypoellipticity

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.653875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5e1e5d3e-a29e-4d68-8f39-8c292cfee3b9 · outbound

This paper cites Exponential self-similar mixing by incompressible flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Exponential self-similar mixing by incompressible flows

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.645213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b3120dae-280f-4748-9519-f53b7c078282 · outbound

This paper cites Anomalous diffusion by fractal homogenization.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Anomalous diffusion by fractal homogenization

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.637700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 047c708c-c6b4-42ac-9479-891560e85d64 · outbound

This paper cites Small-scale variation of convected quantities like temperature in turbulent fluid.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Small-scale variation of convected quantities like temperature in turbulent fluid

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.630036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 60d20ec3-bad2-4a1c-8fbb-953cc76d91c7 · outbound

This paper cites Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier – Stokes.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Almost-sure enhanced dissipation and uniform-in-diffusivity exponential mixing for advection–diffusion by stochastic Navier – Stokes

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.622582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b650ad2e-f28d-45be-9bf3-c5da4ae4ba29 · outbound

This paper cites Almost-sure exponential mixing of passive scalars by the stochastic Navier – Stokes equations.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Almost-sure exponential mixing of passive scalars by the stochastic Navier – Stokes equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.614641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 753c5372-aaf7-4ce9-af98-570d869c022c · outbound

This paper cites Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Enhanced dissipation, hypoellipticity, and anomalous small noise inviscid limits in shear flows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.607075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 542e782d-c2d2-43ba-8a21-26d3198e9ef7 · outbound

This paper cites On the norm equivalence of L yapunov exponents for regularizing linear evolution equations.

Superexponential dissipation enhancement on $\mathbb{T}^d$ On the norm equivalence of L yapunov exponents for regularizing linear evolution equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.599220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c8e60fd2-0897-4c67-9500-4a69a0548955 · outbound

This paper cites Anomalous dissipation and Euler flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Anomalous dissipation and Euler flows

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:31.124121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73ed218f-1e5b-43c3-a1f3-0ed9856d3242 · outbound

This paper cites an unresolved cited work.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:17:31.590606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6928944c-1558-46a1-a695-9a981e68d80c · outbound

This paper cites Anomalous dissipation and lack of selection in the Obukhov – Corrsin theory of scalar turbulence.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Anomalous dissipation and lack of selection in the Obukhov – Corrsin theory of scalar turbulence

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.582229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fd45d2cf-933a-4710-ab0c-21db34a391b7 · outbound

This paper cites Exponentially mixing flows with slow enhanced dissipation.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Exponentially mixing flows with slow enhanced dissipation

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:17:31.399974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6232ff3a-457b-4399-9cb0-b2cae6573060 · outbound

This paper cites Diffusion and mixing in fluid flow.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Diffusion and mixing in fluid flow

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.573589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cc9d886a-b375-40c1-b02c-b6b0c86a6f08 · outbound

This paper cites Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Exponential scalar mixing for the 2D Navier-Stokes equations with degenerate stochastic forcing

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:31.137765Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1134929-b074-442a-b9f2-da59d7921e65 · outbound

This paper cites an unresolved cited work.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:17:31.565255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4f7cd4b0-1be3-48c1-8f91-1d37c0ff3f14 · outbound

This paper cites Delgadino, and Tarek M.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Delgadino, and Tarek M

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.557197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 23204cb3-0a69-4097-9e89-ce03b756dc8c · outbound

This paper cites Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Enhanced dissipation and Taylor dispersion in higher-dimensional parallel shear flows

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.548865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3edfbe9-5646-48c4-b0d8-14cc193c5e5e · outbound

This paper cites A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise.

Superexponential dissipation enhancement on $\mathbb{T}^d$ A Stochastic RAGE Theorem and Enhanced Dissipation for Transport Noise

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:17:31.377594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b458112c-b314-4a3f-93d9-5f2eabb0a497 · outbound

This paper cites Drivas and Gregory L.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Drivas and Gregory L

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.540465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0f15d40e-275f-4dbf-b676-692e38c8493d · outbound

This paper cites Elgindi and Kyle Liss.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Elgindi and Kyle Liss

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.532143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 65487d82-042f-456f-9074-23b5c6baff9c · outbound

This paper cites Elgindi, Kyle Liss, and Jonathan C.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Elgindi, Kyle Liss, and Jonathan C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.523793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 34d048b6-0c13-4e36-a3de-4246c0288665 · outbound

This paper cites Elgindi and Andrej Zlatoš.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Elgindi and Andrej Zlatoš

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.515433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f717412-dbc9-4883-8849-6d794c7a0e19 · outbound

This paper cites Particles and fields in fluid turbulence.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Particles and fields in fluid turbulence

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.507801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c387930f-91d0-47d5-bf84-79c8f3710b08 · outbound

This paper cites Dissipation enhancement by mixing.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Dissipation enhancement by mixing

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.499305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 70a5ff3f-a186-4c6b-9ce1-92c2a46cf074 · outbound

This paper cites Turbulent and intermittent phenomena in a universal total anomalous dissipator.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Turbulent and intermittent phenomena in a universal total anomalous dissipator

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:31.167157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 099d8adb-2487-4103-a7f4-0a0a50db05cf · outbound

This paper cites Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Lower bounds on the top Lyapunov exponent for linear PDEs driven by the 2D stochastic Navier-Stokes equations

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:17:31.355670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9e71ca70-c76f-4cc2-9a0a-fa45fbc8c4b7 · outbound

This paper cites Anomalous dissipation via spontaneous stochasticity with a two-dimensional autonomous velocity field, 2024.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Anomalous dissipation via spontaneous stochasticity with a two-dimensional autonomous velocity field, 2024

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-05T12:17:31.172929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec87ef7f-0035-40d4-b831-0ca7f8fcd59a · outbound

This paper cites Miles and Charles R.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Miles and Charles R

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.491389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 88755197-9ad3-4adc-b372-9ccb4c751ed5 · outbound

This paper cites an unresolved cited work.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-05T12:17:31.483301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 144b5e01-a22e-4398-8e8c-f35b80d9b025 · outbound

This paper cites Exponential mixing by random cellular flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Exponential mixing by random cellular flows

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-05T12:17:31.229918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05cbd510-8e2c-4b66-8c68-7c2698297953 · outbound

This paper cites Lower bounds on mixing norms for the advection diffusion equation in R ^d.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Lower bounds on mixing norms for the advection diffusion equation in R ^d

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.475019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e72fcfca-8f88-4a84-b93f-1d2ef9cc6eff · outbound

This paper cites Tracer microstructure in the large-eddy dominated regime.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Tracer microstructure in the large-eddy dominated regime

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.466314Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fa8f2f06-e605-4075-bcbb-f60cb0224746 · outbound

This paper cites Unique continuation for parabolic equations.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Unique continuation for parabolic equations

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.455534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 87b8b69b-c9ae-4d4c-8f5f-d089b2aa0a80 · outbound

This paper cites On anomalous diffusion in the K raichnan model and correlated-in-time variants.

Superexponential dissipation enhancement on $\mathbb{T}^d$ On anomalous diffusion in the K raichnan model and correlated-in-time variants

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.446191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 73a68816-525a-44b9-afd8-689e756625c8 · outbound

This paper cites Bounds on the rate of enhanced dissipation.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Bounds on the rate of enhanced dissipation

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.437317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 71fff9c9-380a-4c5d-b050-99564a785415 · outbound

This paper cites Enhanced dissipation via the M alliavin calculus.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Enhanced dissipation via the M alliavin calculus

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.427806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 87f5765a-c32d-4fe6-8992-0bd1f993058e · outbound

This paper cites Mixing and un-mixing by incompressible flows.

Superexponential dissipation enhancement on $\mathbb{T}^d$ Mixing and un-mixing by incompressible flows

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T12:17:31.418826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 3ad4b90c-b55a-4231-9f20-c9905d7fee71 · inbound

Mixing at the Batchelor Scale for White-In-Time Flows cites this paper.

Mixing at the Batchelor Scale for White-In-Time Flows Superexponential dissipation enhancement on $\mathbb{T}^d$

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T18:48:24.771370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07c59919-0262-4e8a-869c-a27930b4c244 · inbound

Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs cites this paper.

Lower Bounds for Advection-Diffusion Equations: An Exploration with AI-Generated Proofs Superexponential dissipation enhancement on $\mathbb{T}^d$

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-21T04:29:34.448481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.