Paper Citation Record · LEDGER

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2505.22478.

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

pith.paper-citation-record.v1
2505.22478 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:26:20.003801Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T19:34:06.059420Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T19:43:55.146262Z

Reference resolution

30 of 30 outbound references displayed

verified exact2
verified fuzzy20
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a497ce9d-d3f3-4832-b35c-2a400ec7ad52 · outbound

This paper cites Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Invariance of $\phi^4$ measure under nonlinear wave and Schr\"odinger equations on the plane

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:26:20.446483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e88e038-536b-49fe-a41e-1efbd76f2092 · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:24.695987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9d0b9b87-b0ac-4e66-b91e-19659cd157ca · outbound

This paper cites Billingsley.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Billingsley

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:24.512350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fdd4b3e-1492-48c1-9742-070bfda46c23 · outbound

This paper cites Bourgain.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Bourgain

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:24.312185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4666ae95-34d8-4ba9-8cac-3fbbedf5ac32 · outbound

This paper cites Bourgain.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Bourgain

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:24.127491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb0553c2-e087-42a8-82dc-95ae2ae50e9e · outbound

This paper cites Bourgain.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Bourgain

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:23.895598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 09c60292-c8db-42de-8049-65c1b0ff2da8 · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:23.721522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 211bbfc2-7453-4451-990e-fd261c81b12b · outbound

This paper cites Bringmann, Y.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Bringmann, Y

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:23.578053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2238ea59-c495-48c8-8cb0-0cd589450426 · outbound

This paper cites Cacciafesta and A.-S.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Cacciafesta and A.-S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:23.333992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aadb83cf-459b-4dae-be4f-6fd8b0b17248 · outbound

This paper cites Chaichenets, D.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Chaichenets, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:23.172004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 20808cca-2e73-4546-8eca-4ecf59ef7269 · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:23.048713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 85748880-e7e1-4f7a-9e0c-bda43a980eff · outbound

This paper cites uhrmann, and D. Mendelson. Almost sure local well-posedness and scattering for the 4 D cubic nonlinear S chr\.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume uhrmann, and D. Mendelson. Almost sure local well-posedness and scattering for the 4 D cubic nonlinear S chr\

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.910098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0e4bbefb-de64-49a7-8987-fd46acd0f3d4 · outbound

This paper cites Dodson, A.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Dodson, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.804671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38f5e942-def4-4b92-88cc-f9ed52d7fcfd · outbound

This paper cites Dodson, A.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Dodson, A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.674072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bebd3e27-456a-45c4-bc0c-4494cab7da40 · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:22.515775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 92d4f2ac-94a2-445d-85a1-58469fc9317d · outbound

This paper cites Invariant measures for mKdV and KdV in infinite volume.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Invariant measures for mKdV and KdV in infinite volume

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T13:26:18.800585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 887083fb-b777-453b-93e6-4aa0fa646c97 · outbound

This paper cites Glimm and A.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Glimm and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.381724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe601ca1-fa65-4b4e-bcaa-eaa26a4c7cf3 · outbound

This paper cites A simple construction of the sine-Gordon model via stochastic quantization.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume A simple construction of the sine-Gordon model via stochastic quantization

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:26:20.242068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e5b09206-a020-4236-99f1-a380c5ae6f75 · outbound

This paper cites Gubinelli and M.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Gubinelli and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.239048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6af703f-824a-4ca0-8e46-e401e720f941 · outbound

This paper cites Hairer and R.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Hairer and R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:22.099238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68a85c08-4b69-4754-861e-b0e8a341479b · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:21.944981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 049a4d69-ba3c-4680-a602-4de0ec83f72d · outbound

This paper cites Killip, J.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Killip, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:21.838275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 55124c69-cd26-4181-9cc6-4af7b228bb32 · outbound

This paper cites Killip and M.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Killip and M

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:21.646757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1ed37491-82df-48cd-92c9-a224859935f5 · outbound

This paper cites Moinat and H.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Moinat and H

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:21.460795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 327745c9-3a06-4145-aea1-084ed15e1edc · outbound

This paper cites Moinat and H.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Moinat and H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:21.333826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a7d69a6f-0aa8-45d6-b501-9fe0a253c56c · outbound

This paper cites Mourrat and H.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Mourrat and H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:21.169258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 506d8b91-ac9e-4827-83e1-aecf22deb6bd · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:21.002748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fd17b69-c6d7-47d3-a77a-b3d85c714c4b · outbound

This paper cites an unresolved cited work.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:26:20.879477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a51a166f-fd11-4bee-84b2-eeeacc7fb6ea · outbound

This paper cites Vershynin.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume Vershynin

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.777598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 062b9083-993e-43fb-9674-ec269dbde23d · outbound

This paper cites write newline.

Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume write newline

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:26:20.615318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation acf36a87-ffbb-4a85-819e-f289ce608172 · inbound

Derivation of the focusing $\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states cites this paper.

Derivation of the focusing $\Phi^6_1$ measure in the optimal mass regime from many-body quantum Gibbs states Invariant Gibbs measures for the one-dimensional quintic nonlinear Schr\"odinger equation in infinite volume

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-06-29T19:43:55.148015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.