Paper Citation Record · LEDGER

A stochastic heat equation with non-locally Lipschitz coefficients

As of 14 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2507.23637.

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

pith.paper-citation-record.v1
2507.23637 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:53:54.252716Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:22:06.485935Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T04:22:07.194941Z

Reference resolution

31 of 31 outbound references displayed

verified exact13
verified fuzzy6
unresolved7
parse uncertain0
malformed identifier5
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bb58b0ca-3716-4f76-b418-aabc7c7e33a4 · outbound

This paper cites 1, 62–93, https://www.sciencedirect.com/science/article/pii/0003491676900579.

A stochastic heat equation with non-locally Lipschitz coefficients 1, 62–93, https://www.sciencedirect.com/science/article/pii/0003491676900579

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:50.870354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 132fb638-d66d-4e4d-b49a-15d327ce7e0b · outbound

This paper cites Global solution for superlinear stochastic heat equation on $\mathbb{R}^d$ under Osgood-type conditions.

A stochastic heat equation with non-locally Lipschitz coefficients Global solution for superlinear stochastic heat equation on $\mathbb{R}^d$ under Osgood-type conditions

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:53:57.688539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d4e14dc9-4780-4384-b231-b0d5efa7bf8c · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-06T10:53:56.747446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6531b800-8018-47ac-a96b-32b665dc6333 · outbound

This paper cites Parabolic Anderson model with colored noise on torus.

A stochastic heat equation with non-locally Lipschitz coefficients Parabolic Anderson model with colored noise on torus

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:53:57.402727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a8754c6e-ab23-446b-ac9d-f1099fc17dbf · outbound

This paper cites 1962, Springer-Verlag, Berlin,.

A stochastic heat equation with non-locally Lipschitz coefficients 1962, Springer-Verlag, Berlin,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:54:00.718335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5d855d3d-58cc-4303-93ae-13d172c22038 · outbound

This paper cites Dalang, Davar Khoshnevisan, and Tusheng Zhang, Global solutions to stochastic reaction- diffusion equations with super-linear drift and multiplicative noise , Ann.

A stochastic heat equation with non-locally Lipschitz coefficients Dalang, Davar Khoshnevisan, and Tusheng Zhang, Global solutions to stochastic reaction- diffusion equations with super-linear drift and multiplicative noise , Ann

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:51.558279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3cbaa088-e34a-4825-b19d-94a222b1ac79 · outbound

This paper cites D 238 (2009), no.

A stochastic heat equation with non-locally Lipschitz coefficients D 238 (2009), no

Reference 7

Resolution: malformed identifier; no resolver link, observed 2026-08-06T10:53:51.651475Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 73639568-2422-4df1-8c96-253262505e33 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T10:54:00.107859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d360b2a3-6ad2-4b46-896f-7b3caa73f233 · outbound

This paper cites 1, 295–311, https://doi.org/10.3150/20-BEJ1240.

A stochastic heat equation with non-locally Lipschitz coefficients 1, 295–311, https://doi.org/10.3150/20-BEJ1240

Reference 9

Resolution: verified exact; doi, observed 2026-08-06T10:53:56.522560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b75f8275-b6c4-44dc-9dca-f5a05ddab598 · outbound

This paper cites Galaktionov and Juan L.

A stochastic heat equation with non-locally Lipschitz coefficients Galaktionov and Juan L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:53:59.815037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ba380eca-5454-4658-a467-ad5ceb32c548 · outbound

This paper cites On the support of solutions to nonlinear stochastic heat equations.

A stochastic heat equation with non-locally Lipschitz coefficients On the support of solutions to nonlinear stochastic heat equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:53:57.110433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 398aef80-7c21-436c-85ae-9114b478a074 · outbound

This paper cites Kavin and Ananta K.

A stochastic heat equation with non-locally Lipschitz coefficients Kavin and Ananta K

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T10:53:56.318752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation edac32c7-5e6a-4c38-b73e-86152419b54c · outbound

This paper cites 119, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2014.

A stochastic heat equation with non-locally Lipschitz coefficients 119, Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical Society, Providence, RI, 2014

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:53:59.478848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3b810ff9-cb08-46ce-93c5-b4604e474286 · outbound

This paper cites Theory Related Fields 93 (1992), no.

A stochastic heat equation with non-locally Lipschitz coefficients Theory Related Fields 93 (1992), no

Reference 14

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T10:53:59.207345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c30175ab-048d-4b84-8e8d-95eb9c53c050 · outbound

This paper cites 24, Cambridge University Press, Cambridge, 1990.

A stochastic heat equation with non-locally Lipschitz coefficients 24, Cambridge University Press, Cambridge, 1990

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:53:58.904300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 59e81390-3cf9-4085-9fb1-e85811cee894 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T10:53:56.070424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 160ec62d-fdf8-4097-8ef6-d32eefb97945 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:52.805421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04a67b15-a066-4932-906c-47d0238378e5 · outbound

This paper cites Theory Related Fields 110 (1998), no.

A stochastic heat equation with non-locally Lipschitz coefficients Theory Related Fields 110 (1998), no

Reference 18

Resolution: verified exact; doi, observed 2026-08-06T10:53:55.727015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9b7f44f4-f3bf-43b2-a7df-0c3e44903649 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:52.998288Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 136c1af2-7367-4b63-a9c6-7d545fa31f6f · outbound

This paper cites Theory Related Fields 97 (1993), no.

A stochastic heat equation with non-locally Lipschitz coefficients Theory Related Fields 97 (1993), no

Reference 20

Resolution: verified exact; doi, observed 2026-08-06T10:53:55.457329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 257b6080-c440-4131-99df-37715d8cffd4 · outbound

This paper cites Theory Related Fields 149 (2011), no.

A stochastic heat equation with non-locally Lipschitz coefficients Theory Related Fields 149 (2011), no

Reference 21

Resolution: verified exact; doi, observed 2026-08-06T10:53:55.168008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7f240306-b438-43ff-8688-af8ba20d77a6 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-06T10:53:54.970047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8f6ba4f0-d10b-4ebc-9620-aaf717181dd2 · outbound

This paper cites 62 (2025), no.

A stochastic heat equation with non-locally Lipschitz coefficients 62 (2025), no

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T10:53:58.607277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7ea42770-9117-4840-ab88-2d453b5cc20c · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-06T10:53:54.772302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5fab216f-5541-4b19-b2ab-3e5f5fd40aed · outbound

This paper cites Salins, Existence and uniqueness for the mild solution of the stochastic heat equation with non- Lipschitz drift on an unbounded spatial domain , Stoch.

A stochastic heat equation with non-locally Lipschitz coefficients Salins, Existence and uniqueness for the mild solution of the stochastic heat equation with non- Lipschitz drift on an unbounded spatial domain , Stoch

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:53.684303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca09b9a6-95c8-4d84-8204-d81ccec1e366 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:53.808433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb3ff0d8-01f5-42c4-a2e3-889c348785bf · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T10:53:53.972790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29b8a4e6-2634-4093-81da-80056ff13dd4 · outbound

This paper cites an unresolved cited work.

A stochastic heat equation with non-locally Lipschitz coefficients Unresolved cited work

Reference 28

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T10:53:58.311458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e3fb6b68-b6dc-47ea-8a61-061db3f15e2b · outbound

This paper cites Differential Equations 313 (2022), 85–121, https://doi.org/10.1016/j.jde.2021.12.033.

A stochastic heat equation with non-locally Lipschitz coefficients Differential Equations 313 (2022), 85–121, https://doi.org/10.1016/j.jde.2021.12.033

Reference 29

Resolution: verified exact; doi, observed 2026-08-06T10:53:54.515875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 3707e9e7-0987-4e07-9b26-30fd66def274 · outbound

This paper cites Walsh, An introduction to stochastic partial differential equations , ´Ecole d’´ et´ e de probabilit´ es de Saint-Flour, XIV—1984, 1986, pp.

A stochastic heat equation with non-locally Lipschitz coefficients Walsh, An introduction to stochastic partial differential equations , ´Ecole d’´ et´ e de probabilit´ es de Saint-Flour, XIV—1984, 1986, pp

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:53:58.012953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 51bd7ded-38c2-49b1-a4bd-abe43d85acfb · outbound

This paper cites MR1500166.

A stochastic heat equation with non-locally Lipschitz coefficients MR1500166

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:54:00.366852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation e3c2776f-5f5f-4c85-8e77-0ac61a371922 · inbound

Three-dimensional stochastic wave equation with non-Lipschitz coefficients cites this paper.

Three-dimensional stochastic wave equation with non-Lipschitz coefficients A stochastic heat equation with non-locally Lipschitz coefficients

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-10T04:22:07.198348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.