Paper Citation Record · LEDGER

Critical threshold for weakly interacting log-correlated focusing Gibbs measures

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2412.09790.

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

pith.paper-citation-record.v1
2412.09790 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:52:48.714827Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:39:31.306847Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:39:35.807878Z

Reference resolution

25 of 25 outbound references displayed

verified exact1
verified fuzzy13
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 39024013-c409-4084-b1f7-fd5d2562ad43 · outbound

This paper cites Barashkov, M.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Barashkov, M

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.632019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 511a7368-a5a0-431b-943d-41cc7e415afe · outbound

This paper cites Bou´ e, P.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Bou´ e, P

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.636028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e06aae6c-bd2b-4599-879b-76267eb16f13 · outbound

This paper cites Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant me asures, Comm.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant me asures, Comm

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.639748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 188b8e67-e08b-44fe-bbdc-67949ca80036 · outbound

This paper cites Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation , Comm.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation , Comm

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:49.044372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72f98da3-3b6d-4956-8d24-077decd50e7e · outbound

This paper cites Brydges, G.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Brydges, G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:49.032071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d6e6e24-9c45-44cc-8264-9a822f461995 · outbound

This paper cites Carlen, J.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Carlen, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:49.019641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2549d6ad-53e2-4f56-9ad1-2469e1250abf · outbound

This paper cites Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Deep-water and shallow-water limits of statistical equilibria for the intermediate long wave equation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.653762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1289f93a-5590-4892-8d17-0998fe398f9c · outbound

This paper cites Gubinelli, H.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Gubinelli, H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:49.008325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ebb8820f-c109-4035-91d0-78a9d13ff57d · outbound

This paper cites Hardy, J.E.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Hardy, J.E

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.996922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 246025ac-a1cb-4aa7-aa25-24a439d88d29 · outbound

This paper cites Kuo, Introduction to stochastic integration, Universitext.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Kuo, Introduction to stochastic integration, Universitext

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.985841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5260f962-dee0-4c14-ad34-80b848b70253 · outbound

This paper cites Lebowitz, H.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Lebowitz, H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.975904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 635d9ef0-3f35-483c-bed0-8699d4181e3a · outbound

This paper cites Nelson, A quartic interaction in two dimensions , 1966 Mathematical Theory of Elementary Particles (Proc.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Nelson, A quartic interaction in two dimensions , 1966 Mathematical Theory of Elementary Particles (Proc

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.965558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 87c26849-848d-4146-8096-4048e324ac34 · outbound

This paper cites Nualart, The Malliavin calculus and related topics, Second edition.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Nualart, The Malliavin calculus and related topics, Second edition

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.676628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6497645e-fd5c-430a-a578-f6c6206191d3 · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:52:48.945705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 01a38b6e-4484-4565-92f0-55e4a255bca4 · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:52:48.934028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7a47acd-2269-4f04-b7ac-783ce06155fd · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:52:48.922505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b04b828e-e52f-4e76-a816-4036f0fa7a28 · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:52:48.912619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2f0094b0-4fac-4fdf-8acf-3ee05e7400dd · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T16:52:48.902674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 982017fd-ba85-40d3-a8bb-0116f6e5d653 · outbound

This paper cites an unresolved cited work.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T16:52:48.696516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 355bd3c1-9cbd-4087-b60a-8cc6770fcbcf · outbound

This paper cites Simon, The P (ϕ )2 Euclidean (quantum) ﬁeld theory, Princeton Series in Physics.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Simon, The P (ϕ )2 Euclidean (quantum) ﬁeld theory, Princeton Series in Physics

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.884895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39868fc2-a898-4b84-9fb7-870f99abf273 · outbound

This paper cites Tolomeo, H.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Tolomeo, H

Reference 21

Resolution: verified exact; raw_fallback, observed 2026-08-11T16:52:48.815100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 29dd08ab-3b54-49e1-b656-b517bd7e1be0 · outbound

This paper cites Tzvetkov, Invariant measures for the defocusing nonlinear Schr¨ odin ger equation , Ann.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Tzvetkov, Invariant measures for the defocusing nonlinear Schr¨ odin ger equation , Ann

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.873716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 33f9b173-cb75-40a2-9ce8-b14d59576147 · outbound

This paper cites Tzvetkov, Construction of a Gibbs measure associated to the periodic B enjamin-Ono equation, Probab.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Tzvetkov, Construction of a Gibbs measure associated to the periodic B enjamin-Ono equation, Probab

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.862867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 188954f1-a0f6-4c84-9dfb-c7fe7eb519ff · outbound

This paper cites ¨Ust¨ unel,Variational calculation of Laplace transforms via entropy on Wiener space and applications , J.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures ¨Ust¨ unel,Variational calculation of Laplace transforms via entropy on Wiener space and applications , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.851411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e678d07-4373-42d9-9cd8-fffe4ba37dc8 · outbound

This paper cites Zhang, A variational representation for random functionals on abs tract Wiener spaces , J.

Critical threshold for weakly interacting log-correlated focusing Gibbs measures Zhang, A variational representation for random functionals on abs tract Wiener spaces , J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T16:52:48.838935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation d72ec0c8-2166-46d6-b246-652eb4962874 · inbound

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS cites this paper.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Critical threshold for weakly interacting log-correlated focusing Gibbs measures

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:39:35.890506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.