Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:32:13.058791Z
Paper Citation Record · LEDGER
Conditional GMC within the stochastic heat flow
As of 20 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 9 inbound Pith citation observations for arXiv:2507.16056.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:39:50.616082Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T02:19:22.981783Z
Reference resolution
25 of 25 outbound references displayed
- verified exact2
- verified fuzzy17
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0071e3aa-418e-41d1-ad92-727b6cbe850e · outbound
This paper cites The intermediate disorder regime for directed polymers in dimension 1+1.
Conditional GMC within the stochastic heat flow The intermediate disorder regime for directed polymers in dimension 1+1
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.284723Z
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 a3195326-f8b5-4ea3-8246-a7f52c9d3789 · outbound
This paper cites Handbook of mathematical functions: with formulas, graphs, and mathematical tables , volume 55.
Conditional GMC within the stochastic heat flow Handbook of mathematical functions: with formulas, graphs, and mathematical tables , volume 55
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.004279Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 15dd8ea0-74be-4395-a8bc-f5245f794f1a · outbound
This paper cites Bogachev.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.275051Z
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 64338b8c-06cf-4da8-808c-1e04b04b8fc9 · outbound
This paper cites Continuum models of directed polymers on disordered diamond fractals in the critical case.
Conditional GMC within the stochastic heat flow Continuum models of directed polymers on disordered diamond fractals in the critical case
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.269402Z
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 ebcd7b5e-3555-486d-87b9-5ae7a21e3745 · outbound
This paper cites The conditional G aussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal.
Conditional GMC within the stochastic heat flow The conditional G aussian multiplicative chaos structure underlying a critical continuum random polymer model on a diamond fractal
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.263206Z
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 f7cd5f4f-6daf-4b92-9c7e-b57177b88c7e · outbound
This paper cites On planar Brownian motion singularly tilted through a point potential.
Conditional GMC within the stochastic heat flow On planar Brownian motion singularly tilted through a point potential
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:32:13.177074Z
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 936f8282-375b-40b9-822a-fccd96885499 · outbound
This paper cites Continuum polymer measures corresponding to the critical 2d stochastic heat flow.
Conditional GMC within the stochastic heat flow Continuum polymer measures corresponding to the critical 2d stochastic heat flow
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.016730Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aae1da84-e0d6-4eee-bb7e-22cd82d87d62 · outbound
This paper cites The critical 2d stochastic heat flow.
Conditional GMC within the stochastic heat flow The critical 2d stochastic heat flow
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.257094Z
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 7f47daf0-0e14-4031-bcbf-70d2b91b654a · outbound
This paper cites The critical 2d stochastic heat flow is not a gaussian multiplicative chaos.
Conditional GMC within the stochastic heat flow The critical 2d stochastic heat flow is not a gaussian multiplicative chaos
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.251452Z
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 efe8f63c-91e6-4bde-8d5f-bb962a740121 · outbound
This paper cites The Critical 2d Stochastic Heat Flow and Related Models.
Conditional GMC within the stochastic heat flow The Critical 2d Stochastic Heat Flow and Related Models
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.023610Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a28e66f-13ac-4402-9618-b635cd3dd28e · outbound
This paper cites Singularity and regularity of the critical 2D Stochastic Heat Flow.
Conditional GMC within the stochastic heat flow Singularity and regularity of the critical 2D Stochastic Heat Flow
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.026289Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1643b5d-dee1-4a71-844e-c312904fd816 · outbound
This paper cites H amiltonians for systems of N particles interacting through point interactions.
Conditional GMC within the stochastic heat flow H amiltonians for systems of N particles interacting through point interactions
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.245969Z
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 836b2ab6-208b-40c9-9e62-7d355f69be00 · outbound
This paper cites Multi-particle S chr \"o dinger operators with point interactions in the plane.
Conditional GMC within the stochastic heat flow Multi-particle S chr \"o dinger operators with point interactions in the plane
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.240046Z
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 02f4c2d9-26ac-4f61-8eea-08eea75bc9b4 · outbound
This paper cites Moments of the 2d SHE at criticality.
Conditional GMC within the stochastic heat flow Moments of the 2d SHE at criticality
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.233747Z
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 a99564b6-4a97-4266-9779-0d62cb972fd4 · outbound
This paper cites Sur le chaos multiplicatif.
Conditional GMC within the stochastic heat flow Sur le chaos multiplicatif
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.227902Z
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 21aca7fc-0335-47d8-bd9b-dde7951f0e6b · outbound
This paper cites Foundations of modern probability , volume 99 of Probability Theory and Stochastic Modelling.
Conditional GMC within the stochastic heat flow Foundations of modern probability , volume 99 of Probability Theory and Stochastic Modelling
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.222105Z
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 2ed7c553-05a6-4255-8b39-0cbe4f359e99 · outbound
This paper cites Moreno Flores.
Conditional GMC within the stochastic heat flow Moreno Flores
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.216232Z
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 80858083-4922-433d-93b9-f4793ae8e5b9 · outbound
This paper cites On the support of solutions to the heat equation with noise.
Conditional GMC within the stochastic heat flow On the support of solutions to the heat equation with noise
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.209970Z
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 1f950b51-98d0-48f5-8643-573b690cea37 · outbound
This paper cites KPZ fluctuations in the planar stochastic heat equation.
Conditional GMC within the stochastic heat flow KPZ fluctuations in the planar stochastic heat equation
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:32:13.151513Z
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 8485a794-1308-491b-aad4-9b53fa7483a3 · outbound
This paper cites A Condensation of Interacting Bosons in Two Dimensional Space.
Conditional GMC within the stochastic heat flow A Condensation of Interacting Bosons in Two Dimensional Space
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.047596Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270c0003-1629-4881-a3bc-a4adefbbc3aa · outbound
This paper cites Methods of modern mathematical physics.
Conditional GMC within the stochastic heat flow Methods of modern mathematical physics
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.203967Z
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 997d98b3-6c31-48bc-a1c6-4256f9ca4ee3 · outbound
This paper cites Gaussian multiplicative chaos and applications: a review.
Conditional GMC within the stochastic heat flow Gaussian multiplicative chaos and applications: a review
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.197552Z
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 dd6368ed-3062-4719-8964-5df8f1ba049c · outbound
This paper cites On G aussian multiplicative chaos.
Conditional GMC within the stochastic heat flow On G aussian multiplicative chaos
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.190803Z
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 97c94b1a-b1e9-4fff-bfa3-8c7121342a3e · outbound
This paper cites Two dimensional delta- B ose gas in a weighted space.
Conditional GMC within the stochastic heat flow Two dimensional delta- B ose gas in a weighted space
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:32:13.183895Z
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 7f7e924d-8391-4b35-9a2a-cdc43a7e53e8 · outbound
This paper cites Stochastic heat flow by moments.
Conditional GMC within the stochastic heat flow Stochastic heat flow by moments
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:32:13.058791Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation a39be014-4faf-46b7-ab3b-3fd5aea9c8d4 · inbound
Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow cites this paper.
Enhanced noise sensitivity, 2D directed polymers and Stochastic Heat Flow Conditional GMC within the stochastic heat flow
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T17:43:23.410140Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f9c3b4a-e5b3-4f87-ab71-a5ccc2bb1cf5 · 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 Conditional GMC within the stochastic heat flow
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T03:27:01.134474Z
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 a0735195-b8dc-468e-95c2-a38b04dd7d8d · inbound
Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow cites this paper.
Sharp moment and upper tail asymptotics for the critical $2d$ Stochastic Heat Flow Conditional GMC within the stochastic heat flow
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T12:18:53.797484Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0b47156-3f17-476a-801d-1ad942506743 · inbound
Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers cites this paper.
Strong Disorder for Stochastic Heat Flow and 2D Directed Polymers Conditional GMC within the stochastic heat flow
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T01:06:57.241585Z
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 0db1c7fb-808a-4228-997f-fb61758ec54a · inbound
McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data cites this paper.
McKean-Vlasov limits of scaling-critical reaction-diffusion equations with random initial data Conditional GMC within the stochastic heat flow
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-04T23:59:13.350794Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 53d5c8f8-856d-4a8c-9a25-9e07733c1af6 · inbound
Extrema of cooling branching Brownian motion and related Gaussian fields cites this paper.
Extrema of cooling branching Brownian motion and related Gaussian fields Conditional GMC within the stochastic heat flow
Reference 1
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-04T02:19:22.983697Z
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 3816aba3-cc14-4dc6-b43d-55fea4dcd6dd · inbound
Extrema of cooling branching Brownian motion and related Gaussian fields cites this paper.
Extrema of cooling branching Brownian motion and related Gaussian fields Conditional GMC within the stochastic heat flow
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T11:06:54.471726Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4f2ab34-77eb-4742-835d-ce6be0843894 · 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: $d \in \{2,3\}$ Conditional GMC within the stochastic heat flow
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T04:45:13.097800Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dc40c19c-ce5a-46d6-b075-ee20b916827c · inbound
Continuous-time directed polymers to the Critical SHF via moments cites this paper.
Continuous-time directed polymers to the Critical SHF via moments Conditional GMC within the stochastic heat flow
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T00:39:50.616082Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.