Paper Citation Record · LEDGER

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball

As of 5 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2606.07010.

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

pith.paper-citation-record.v1
2606.07010 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T21:47:43.180587Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T05:13:04.941635Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T05:15:59.160553Z

Reference resolution

25 of 25 outbound references displayed

verified exact23
verified fuzzy0
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fa0a999a-c139-46eb-89f6-7e48368550d3 · outbound

This paper cites an unresolved cited work.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.085387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 1c92e43a-3a5b-4b04-96d2-808131a2e896 · outbound

This paper cites Almost sure local well-posedness for a derivative nonlinear wave equation , volume =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Almost sure local well-posedness for a derivative nonlinear wave equation , volume =

Reference 2

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.110194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4777a718-e18c-403a-8673-b63183166edf · outbound

This paper cites and Yue, Haitian , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Yue, Haitian , date-added =

Reference 3

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.104075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 52dd43cc-26f4-4fac-bcf6-b1476dfcccc2 · outbound

This paper cites , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , date-added =

Reference 4

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.117126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4340aa07-fca1-41f7-b8ce-e5e35638f2cf · outbound

This paper cites and L\"ofstr\"om, J.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and L\"ofstr\"om, J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T21:47:43.180587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c31a1d2e-d85b-42ec-adeb-d13241d469db · outbound

This paper cites an unresolved cited work.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Unresolved cited work

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.104220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 2cedae63-3595-4e02-82db-318a2a1fb707 · outbound

This paper cites in preparation , title =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball in preparation , title =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T21:47:43.180587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92cd3e78-e908-4dea-918c-6e0c78c59e9b · outbound

This paper cites and Tzvetkov, N.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Tzvetkov, N

Reference 8

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.108203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9e3bd16f-35ac-42be-86bc-84650fabb98f · outbound

This paper cites Probabilistic well-posedeness for the nonlinear Schr\"odinger equation on the $2d$ sphere I: positive regularities.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Probabilistic well-posedeness for the nonlinear Schr\"odinger equation on the $2d$ sphere I: positive regularities

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-02T18:57:16.756556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 104938cb-ee01-4702-af2b-65fbc1de0a0f · outbound

This paper cites and Camps, N.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Camps, N

Reference 10

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.100468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation bbb502e8-d1f4-426c-8b59-1f67b208acbf · outbound

This paper cites , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , date-added =

Reference 11

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.099653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 11fcb3fc-022a-486b-86cb-29a467637fd3 · outbound

This paper cites and Bulut, A.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Bulut, A

Reference 12

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.111998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation da4b9f10-a327-4cd7-aa62-a2f4e41404b3 · outbound

This paper cites , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , date-added =

Reference 13

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.115390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f9a9d3cc-2644-4b8d-822b-81bda024f108 · outbound

This paper cites Deng, A.R.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Deng, A.R

Reference 14

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.108385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6a1129f2-b9cd-4430-8dbf-f91d71872f58 · outbound

This paper cites and Nahmod, A.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Nahmod, A

Reference 15

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.096815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f26c8b03-354f-4119-8eef-fa60199d2152 · outbound

This paper cites , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , date-added =

Reference 16

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.113723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 9a373275-5eb4-4777-a5be-30e3ab88b605 · outbound

This paper cites , date-added =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , date-added =

Reference 17

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.121287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f8ce2871-3909-47ac-a024-1ccd41e2301d · outbound

This paper cites Kaneshiro,A new proof of the abstract random tensor estimate by Deng, Nahmod, and Yue, arXiv:2512.02250 [math.PR].

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Kaneshiro,A new proof of the abstract random tensor estimate by Deng, Nahmod, and Yue, arXiv:2512.02250 [math.PR]

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-02T18:57:16.759039Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 793d49d9-1bb0-40d8-ba72-9e99dfb4d441 · outbound

This paper cites and Rodnianski, I.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Rodnianski, I

Reference 19

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.119231Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 1d518976-50c4-4fe5-9ae1-6abca109123a · outbound

This paper cites and Tsutsumi, Y.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Tsutsumi, Y

Reference 20

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.123130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation d5451a53-c802-423b-a0c4-37c9209c533b · outbound

This paper cites , booktitle =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball , booktitle =

Reference 21

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.117484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a7d208e5-35b8-4d46-a625-574538e38f2f · outbound

This paper cites and Pisier, G.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball and Pisier, G

Reference 22

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.115558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 6040fa0c-0e25-4b56-bbd6-aeb0923167a6 · outbound

This paper cites 2025 , bdsk-url-1 =.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball 2025 , bdsk-url-1 =

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-02T18:57:16.761487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 22944948-5044-4664-bcec-80622d58040a · outbound

This paper cites Gubinelli, H.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball Gubinelli, H

Reference 24

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.124801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8cdcbe89-b6c7-487a-8cb9-6e096a1b8716 · outbound

This paper cites [GK22] G.

Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball [GK22] G

Reference 25

Resolution: verified exact; doi, observed 2026-06-27T21:51:18.113886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation d412e87a-1198-435c-8b06-22d5c798b036 · inbound

On probabilistic ill-posedness cites this paper.

On probabilistic ill-posedness Gauge transforms, random averaging operator ansatz and improved probabilistic well-posedness for the radial NLS on the $3d$ ball

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:15:59.161923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.