Paper Citation Record · LEDGER

Stochastic heat flow is a black noise

As of 21 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 6 inbound Pith citation observations for arXiv:2506.16484.

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

pith.paper-citation-record.v1
2506.16484 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:44:56.158839Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:50.691955Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T03:27:01.144189Z

Reference resolution

29 of 29 outbound references displayed

verified exact0
verified fuzzy15
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6fccc386-52b9-459c-8b42-f60f379af805 · outbound

This paper cites Solvable models in quantum mechanics.

Stochastic heat flow is a black noise Solvable models in quantum mechanics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.771812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80d15490-3151-4897-b862-7213e4717b98 · outbound

This paper cites The two-dimensional stochastic heat equation: renormalizing a multiplicative noise.

Stochastic heat flow is a black noise The two-dimensional stochastic heat equation: renormalizing a multiplicative noise

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.754913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f712664d-ae62-4272-a48d-8c97ff81a714 · outbound

This paper cites Noise sensitivity of B oolean functions and applications to percolation.

Stochastic heat flow is a black noise Noise sensitivity of B oolean functions and applications to percolation

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.740180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1941ecd8-1f98-4ee8-b41e-c160a12d8257 · outbound

This paper cites Delta- B ose gas from the viewpoint of the two-dimensional stochastic heat equation.

Stochastic heat flow is a black noise Delta- B ose gas from the viewpoint of the two-dimensional stochastic heat equation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.725319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 94cc9e41-f1b3-4933-bc68-406249224453 · outbound

This paper cites Martingale problem of the two-dimensional stochastic heat equation at criticality.

Stochastic heat flow is a black noise Martingale problem of the two-dimensional stochastic heat equation at criticality

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.049972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 356aa28c-84e8-49ea-a40b-57b4c4f3a036 · outbound

This paper cites Continuum polymer measures corresponding to the critical 2d stochastic heat flow.

Stochastic heat flow is a black noise Continuum polymer measures corresponding to the critical 2d stochastic heat flow

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.054375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7851eaf-8fb3-4430-b6c3-327462ffb248 · outbound

This paper cites On the moments of the (2+1) -dimensional directed polymer and stochastic heat equation in the critical window.

Stochastic heat flow is a black noise On the moments of the (2+1) -dimensional directed polymer and stochastic heat equation in the critical window

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.710597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0d5df1ba-7bed-4bc2-8c9a-9dc715cd57cc · outbound

This paper cites The critical 2d stochastic heat flow.

Stochastic heat flow is a black noise The critical 2d stochastic heat flow

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.696451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82b1b08d-30a9-4a83-bcb5-016e9445dbf0 · outbound

This paper cites The critical 2d stochastic heat flow is not a gaussian multiplicative chaos.

Stochastic heat flow is a black noise The critical 2d stochastic heat flow is not a gaussian multiplicative chaos

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.068255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 163f61cc-1d54-45b5-afcb-bbbcbc0dec4f · outbound

This paper cites Singularity and regularity of the critical 2D Stochastic Heat Flow.

Stochastic heat flow is a black noise Singularity and regularity of the critical 2D Stochastic Heat Flow

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.072635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 693c4107-5aed-437a-90aa-9f5c0b3907ac · outbound

This paper cites H amiltonians for systems of N particles interacting through point interactions.

Stochastic heat flow is a black noise H amiltonians for systems of N particles interacting through point interactions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.077144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2826481b-789f-4d9c-8828-3d26f2af340e · outbound

This paper cites On L^2 modulus of continuity of B rownian local times and R iesz potentials.

Stochastic heat flow is a black noise On L^2 modulus of continuity of B rownian local times and R iesz potentials

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.662851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 611e4ed3-a6b9-40b3-974f-49a610956dbe · outbound

This paper cites Multi-particle S chr \"o dinger operators with point interactions in the plane.

Stochastic heat flow is a black noise Multi-particle S chr \"o dinger operators with point interactions in the plane

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.086012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ee83e91-9064-422a-af0f-41981170e0d0 · outbound

This paper cites Feldheim.

Stochastic heat flow is a black noise Feldheim

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.636557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f0bded6e-6cd6-46bb-8d89-3566f4997e85 · outbound

This paper cites Noise sensitivity for stochastic heat and Schr\"odinger equation.

Stochastic heat flow is a black noise Noise sensitivity for stochastic heat and Schr\"odinger equation

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.094775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87e329b4-14b8-4154-8575-0e90c98ec00e · outbound

This paper cites Moments of the 2 D SHE at criticality.

Stochastic heat flow is a black noise Moments of the 2 D SHE at criticality

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.621519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b090288e-e1e5-4a16-be1c-b9f6682c6fb7 · outbound

This paper cites an unresolved cited work.

Stochastic heat flow is a black noise Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:44:56.607387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f7f32652-2d12-4dbd-a007-d928953aa842 · outbound

This paper cites Stochastic integral representation of the L^2 modulus of Brownian local time and a central limit theorem.

Stochastic heat flow is a black noise Stochastic integral representation of the L^2 modulus of Brownian local time and a central limit theorem

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.592149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dea2f49b-c649-4c87-90bb-d32c13a0555d · outbound

This paper cites The directed landscape is a black noise.

Stochastic heat flow is a black noise The directed landscape is a black noise

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.113494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ac649d1-99f0-4e47-a1eb-cba7f462af4c · outbound

This paper cites Sticky flows on the circle and their noises.

Stochastic heat flow is a black noise Sticky flows on the circle and their noises

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.576535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 442872b4-5d76-4efd-b4cc-2f41fbadf6aa · outbound

This paper cites On the moments of the mass of shrinking balls under the critical 2 d stochastic heat flow.

Stochastic heat flow is a black noise On the moments of the mass of shrinking balls under the critical 2 d stochastic heat flow

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.123240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57cb5dde-30e9-42cc-9682-6a46e9f21051 · outbound

This paper cites Martingale measure associated with the critical $2d$ stochastic heat flow.

Stochastic heat flow is a black noise Martingale measure associated with the critical $2d$ stochastic heat flow

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.127613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9412965-e9ad-4477-b34e-fa902dd5721a · outbound

This paper cites A Condensation of Interacting Bosons in Two Dimensional Space.

Stochastic heat flow is a black noise A Condensation of Interacting Bosons in Two Dimensional Space

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.132656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84154d17-e346-477e-849c-19e953ebca57 · outbound

This paper cites Real and complex analysis.

Stochastic heat flow is a black noise Real and complex analysis

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.137550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a80c23ab-9046-4ba0-a351-f2fddd95a37c · outbound

This paper cites On the scaling limits of planar percolation.

Stochastic heat flow is a black noise On the scaling limits of planar percolation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.550645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 260b059f-c8eb-4ff9-bbba-ab7989c2fb18 · outbound

This paper cites Stochastic heat flow by moments.

Stochastic heat flow is a black noise Stochastic heat flow by moments

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T19:44:56.145748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4dba6c4-bbc6-409c-80c6-bd62cc61b319 · outbound

This paper cites Nonclassical stochastic flows and continuous products.

Stochastic heat flow is a black noise Nonclassical stochastic flows and continuous products

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.533611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c7e17e0c-ec38-472c-a5f4-5ecbc8404555 · outbound

This paper cites Scaling limit, noise, stability.

Stochastic heat flow is a black noise Scaling limit, noise, stability

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.518132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d60aeef3-b988-4c7c-82b1-e556c157683c · outbound

This paper cites Examples of nonlinear continuous tensor products of measure spaces and non- F ock factorizations.

Stochastic heat flow is a black noise Examples of nonlinear continuous tensor products of measure spaces and non- F ock factorizations

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:44:56.501200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 2b542a0b-8bc3-409e-92d4-a35062ca387d · inbound

Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow cites this paper.

Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow Stochastic heat flow is a black noise

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:43:24.230708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d81df579-e1e0-4d57-a54f-66f0391e77b7 · inbound

An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow cites this paper.

An upper bound of the lower tail of the mass of balls under the critical $2d$ stochastic heat flow Stochastic heat flow is a black noise

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-05-19T03:27:01.147468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 26dbac1d-78a0-4863-ac68-8490c3471b24 · inbound

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers cites this paper.

Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers Stochastic heat flow is a black noise

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-19T01:06:57.267443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f96a2d61-1909-4a90-8027-8990565562a5 · inbound

Temperature chaos in directed polymers cites this paper.

Temperature chaos in directed polymers Stochastic heat flow is a black noise

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-01T15:50:46.750600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d1fcfe6-40fd-4951-a0f1-5d6a903079ff · inbound

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ cites this paper.

A submartingale for the probability of avoiding the origin in one-point interaction ground-state diffusion: $d \in \{2,3\}$ Stochastic heat flow is a black noise

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-12T04:45:13.127960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aec2c634-2285-4162-acbd-260cf0ef111b · inbound

Continuous-time directed polymers to the Critical SHF via moments cites this paper.

Continuous-time directed polymers to the Critical SHF via moments Stochastic heat flow is a black noise

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-16T00:39:50.691955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.