Paper Citation Record · LEDGER

Noncommutative Regularity Structures

As of 21 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2509.07948.

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

pith.paper-citation-record.v1
2509.07948 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:35:42.137422Z

measured 16 of 16 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:32:10.732478Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact5
verified fuzzy2
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 70d0ebb5-490f-49e9-ac3a-f543eb3cc6c4 · outbound

This paper cites Grassmannian stochastic analysis and the stochastic quantization of Euclidean Fermions.

Noncommutative Regularity Structures Grassmannian stochastic analysis and the stochastic quantization of Euclidean Fermions

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:35:42.935019Z

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 e0b2ef45-8935-41c5-a687-b93a94b17cf7 · outbound

This paper cites Convergence of the two-dimensional dynamic Ising-Kac model to $\Phi^4_2$.

Noncommutative Regularity Structures Convergence of the two-dimensional dynamic Ising-Kac model to $\Phi^4_2$

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:35:42.399265Z

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 44760ac6-0c99-4a5e-96aa-928016a60637 · outbound

This paper cites Springer- Verlag, New York, second ed., 1987, xiv+505.

Noncommutative Regularity Structures Springer- Verlag, New York, second ed., 1987, xiv+505

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T21:35:41.302230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59f8c165-7adc-4667-9eab-d88b1f60998c · outbound

This paper cites TAKESAKI.

Noncommutative Regularity Structures TAKESAKI

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:35:43.177281Z

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 1d319377-a688-4ac3-b296-340b793cbc88 · outbound

This paper cites [Trè67] F.

Noncommutative Regularity Structures [Trè67] F

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-04T21:35:43.054364Z

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 eea4dd7e-f905-4e8c-baaf-c2ffbbe96d49 · outbound

This paper cites The $\Phi_3^4$ measure has sub-Gaussian tails.

Noncommutative Regularity Structures The $\Phi_3^4$ measure has sub-Gaussian tails

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T21:35:41.723793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2b1aa3d-2e6c-4eed-be72-765b82dd7eb7 · outbound

This paper cites Non-commutative $L^{p}$ spaces and Grassmann stochastic analysis.

Noncommutative Regularity Structures Non-commutative $L^{p}$ spaces and Grassmann stochastic analysis

Reference 65

Resolution: metadata mismatch; local_arxiv, observed 2026-08-04T21:35:42.820802Z

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 43712d2f-9204-4c4b-a7bb-1add5f9b8b0a · outbound

This paper cites Paracontrolled distributions and singular PDEs.

Noncommutative Regularity Structures Paracontrolled distributions and singular PDEs

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-04T21:35:41.513735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92435f27-32f8-49af-8a6b-9cc466521045 · outbound

This paper cites BRUNED, M.

Noncommutative Regularity Structures BRUNED, M

Reference 96

Resolution: unresolved; no resolver link, observed 2026-08-04T21:35:41.218021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2127e908-d1cd-410f-8051-7d47a7432143 · outbound

This paper cites GUIONNETand D.

Noncommutative Regularity Structures GUIONNETand D

Reference 140

Resolution: verified exact; doi, observed 2026-08-04T21:35:42.283710Z

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 80e5d901-b1c3-49b4-8728-8f1f50ce6976 · outbound

This paper cites HAIRERand R.

Noncommutative Regularity Structures HAIRERand R

Reference 323

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:35:43.427507Z

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 e5c5b36f-610c-4fc8-a56a-306ff8bfba66 · outbound

This paper cites an unresolved cited work.

Noncommutative Regularity Structures Unresolved cited work

Reference 548

Resolution: verified exact; arxiv_id, observed 2026-08-04T21:35:42.539567Z

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 9305eb6b-ff34-4610-870c-107e6dae9e86 · outbound

This paper cites PARISIand Y.

Noncommutative Regularity Structures PARISIand Y

Reference 2012

Resolution: unresolved; no resolver link, observed 2026-08-04T21:35:42.008306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c084b35-c4b6-4b9a-b35a-6dee05fcb3a6 · outbound

This paper cites an unresolved cited work.

Noncommutative Regularity Structures Unresolved cited work

Reference 2016

Resolution: unresolved; raw_fallback, observed 2026-08-04T21:35:43.283893Z

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 f2f51ece-b4b6-431b-870f-f6d565a0ea8d · outbound

This paper cites Feynman Diagrams and Wick Products Associated with $q$-Fock spaces.

Noncommutative Regularity Structures Feynman Diagrams and Wick Products Associated with $q$-Fock spaces

Reference 2162

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:35:42.700140Z

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 63335584-a277-4177-8e45-86906072c595 · inbound

A PDE approach to the 2D Yang-Mills measure cites this paper.

A PDE approach to the 2D Yang-Mills measure Noncommutative Regularity Structures

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T05:32:10.732478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.