Paper Citation Record · LEDGER

Time-dependent averages of a critical long-range stochastic heat equation

As of 15 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2411.09058.

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

pith.paper-citation-record.v1
2411.09058 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:17:57.954454Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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

23 of 23 outbound references displayed

verified exact0
verified fuzzy16
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5992c64b-288c-492c-b80e-21bd600d5096 · outbound

This paper cites Averaging 2d stochastic wave equation.

Time-dependent averages of a critical long-range stochastic heat equation Averaging 2d stochastic wave equation

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.349384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f620acf9-bbaa-4045-81a8-1a1fa0f2e2e2 · outbound

This paper cites Central limit theorems for spatial averages of the stochastic heat equation via M alliavin- S tein's method.

Time-dependent averages of a critical long-range stochastic heat equation Central limit theorems for spatial averages of the stochastic heat equation via M alliavin- S tein's method

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.330873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e3252826-3023-4fe8-b171-d18de1934167 · outbound

This paper cites Universality in marginally relevant disordered systems.

Time-dependent averages of a critical long-range stochastic heat equation Universality in marginally relevant disordered systems

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.314529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b8465e41-93f7-4e35-af4a-6629ac1bae51 · outbound

This paper cites The critical 2d stochastic heat flow.

Time-dependent averages of a critical long-range stochastic heat equation The critical 2d stochastic heat flow

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.298391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation fb25e30c-7da4-4428-91e0-e3ea5ba94c1c · outbound

This paper cites an unresolved cited work.

Time-dependent averages of a critical long-range stochastic heat equation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:17:58.281345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86c4fa4a-a17b-4567-a79b-06236afab351 · outbound

This paper cites Flow equation approach to singular stochastic PDEs.

Time-dependent averages of a critical long-range stochastic heat equation Flow equation approach to singular stochastic PDEs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-12T21:17:57.870967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ceaad64-4f65-48d5-82d5-c57ba42848e5 · outbound

This paper cites A Central Limit Theorem for the stochastic wave equation with fractional noise.

Time-dependent averages of a critical long-range stochastic heat equation A Central Limit Theorem for the stochastic wave equation with fractional noise

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.265896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8a298717-ee55-43e4-9546-c8a552c8b705 · outbound

This paper cites Fluctuations of stochastic PDEs with long-range correlations.

Time-dependent averages of a critical long-range stochastic heat equation Fluctuations of stochastic PDEs with long-range correlations

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-12T21:17:57.882597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 010d1fe6-50f7-4a45-91c4-3320c19fabbf · outbound

This paper cites Paracontrolled distributions and singular PDE s.

Time-dependent averages of a critical long-range stochastic heat equation Paracontrolled distributions and singular PDE s

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-12T21:17:57.887634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c56eea84-1782-4d5f-87c2-b6905008be4d · outbound

This paper cites Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher.

Time-dependent averages of a critical long-range stochastic heat equation Fluctuations of a nonlinear stochastic heat equation in dimensions three and higher

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.239655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 15c296ea-f0db-47c0-bce5-7b0297aad604 · outbound

This paper cites urgen G\.

Time-dependent averages of a critical long-range stochastic heat equation urgen G\

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.222800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c83c3603-e9e1-4d5d-9238-88978ac7aa6e · outbound

This paper cites A theory of regularity structures.

Time-dependent averages of a critical long-range stochastic heat equation A theory of regularity structures

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T21:17:57.902525Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91dd284c-8c25-4e07-99de-72602da6d750 · outbound

This paper cites A central limit theorem for the stochastic heat equation.

Time-dependent averages of a critical long-range stochastic heat equation A central limit theorem for the stochastic heat equation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.197051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b3e66154-d869-494f-b934-2701029017bd · outbound

This paper cites Gaussian fluctuations for the stochastic heat equation with colored noise.

Time-dependent averages of a critical long-range stochastic heat equation Gaussian fluctuations for the stochastic heat equation with colored noise

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.180608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 7ebfca34-cfea-4c65-a546-5b2b6d3cdeaf · outbound

This paper cites Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces , volume 47 of CBMS-NSF Regional Conference Series in Applied Mathematics.

Time-dependent averages of a critical long-range stochastic heat equation Foundations of Stochastic Differential Equations in Infinite Dimensional Spaces , volume 47 of CBMS-NSF Regional Conference Series in Applied Mathematics

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.164799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 08766887-e309-4cac-8ab6-8c49961cb8a7 · outbound

This paper cites Limit theorems for time-dependent averages of nonlinear stochastic heat equations.

Time-dependent averages of a critical long-range stochastic heat equation Limit theorems for time-dependent averages of nonlinear stochastic heat equations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.149149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b8625a96-2f09-4eae-b457-30390d331b77 · outbound

This paper cites an unresolved cited work.

Time-dependent averages of a critical long-range stochastic heat equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:17:58.132497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc175f06-2c03-4aa8-96db-672dff6d8bbe · outbound

This paper cites A singular parabolic A nderson model.

Time-dependent averages of a critical long-range stochastic heat equation A singular parabolic A nderson model

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.114488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d5e9844d-74b1-41ff-ba73-7b1ee0578f31 · outbound

This paper cites Spatial averages for the parabolic A nderson model driven by rough noise.

Time-dependent averages of a critical long-range stochastic heat equation Spatial averages for the parabolic A nderson model driven by rough noise

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.098093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eee71f00-928c-4728-995a-c4e56775c730 · outbound

This paper cites The M alliavin calculus and related topics.

Time-dependent averages of a critical long-range stochastic heat equation The M alliavin calculus and related topics

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.082037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3981d785-e49d-46c4-a302-b124f4fd7233 · outbound

This paper cites Quantitative central limit theorems for the parabolic A nderson model driven by colored noises.

Time-dependent averages of a critical long-range stochastic heat equation Quantitative central limit theorems for the parabolic A nderson model driven by colored noises

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.066725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63d0ed8e-3044-4a5b-bb00-24630c9cc4e3 · outbound

This paper cites Averaging G aussian functionals.

Time-dependent averages of a critical long-range stochastic heat equation Averaging G aussian functionals

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:17:58.048552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3f134c4e-0dca-48ca-85c5-899e2f265c3f · outbound

This paper cites A priori bounds for quasi-linear SPDEs in the full sub-critical regime.

Time-dependent averages of a critical long-range stochastic heat equation A priori bounds for quasi-linear SPDEs in the full sub-critical regime

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T21:17:57.954454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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