Paper Citation Record · LEDGER

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.16499.

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

pith.paper-citation-record.v1
2501.16499 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:00:30.055235Z

measured 40 of 40 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact3
verified fuzzy20
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29b94085-63e2-45c2-bf30-c0522956a24d · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.805215Z

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 67abfab9-778c-4638-91a3-ac64da14cb05 · outbound

This paper cites Attouch, G.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Attouch, G

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.787781Z

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 ad0d8023-878c-4fe9-b801-a8e96a9f5ba7 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.771692Z

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 edfa87dd-07d2-48e3-86f0-a595c489f28c · outbound

This paper cites Banica and L.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Banica and L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.754904Z

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 16966665-832d-41a8-936f-b9ac9569e0fd · outbound

This paper cites Banica and L.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Banica and L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.736709Z

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 b8894c14-5ece-4894-81aa-7a42f28cfd33 · outbound

This paper cites Banica and L.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Banica and L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.718099Z

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 9c665f7b-9764-485b-87c0-63cac7997055 · outbound

This paper cites Riemann’s Non-differentiable Func tion and the Binormal Curvature Flow.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Riemann’s Non-differentiable Func tion and the Binormal Curvature Flow

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.701729Z

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 90b15ea8-7d16-4d70-9d41-fa36a3c02038 · outbound

This paper cites Invariant measures for passive scalars in the small noise inviscid limit.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Invariant measures for passive scalars in the small noise inviscid limit

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.686765Z

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 e42ca986-de5f-4ca0-8fa1-937ba7fc39f8 · outbound

This paper cites Bourgain.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Bourgain

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.671246Z

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 e2d73acc-2e08-46d9-9d14-add165dd42f9 · outbound

This paper cites Bourgain.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Bourgain

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.654444Z

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 8fbb805c-04a4-4e6a-a5a2-7bb56dbf13a0 · outbound

This paper cites Breit, E.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Breit, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.635886Z

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 d0f3136d-0853-472d-81dd-0a3603b7e69d · outbound

This paper cites Breit, E.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Breit, E

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.619160Z

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 42e94ae0-f08b-41bb-9210-b3c6ef05a1bf · outbound

This paper cites Brze´ zniak, B.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Brze´ zniak, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.603138Z

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 4720c3f5-ae10-4e32-a107-f1641fa442b1 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.585306Z

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 1f9f8682-cb34-472c-9a23-23b5926f9f71 · outbound

This paper cites Fahim, E.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Fahim, E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.568955Z

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 d81aa14e-83dd-4f95-a23f-eacf4fee9ed8 · outbound

This paper cites Stationary solutions for the nonlinear Schr\"odinger equation.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Stationary solutions for the nonlinear Schr\"odinger equation

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:00:30.181940Z

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 0904059e-2480-47f2-8f09-dfad8af97cf1 · outbound

This paper cites Flandoli, D.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Flandoli, D

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.552759Z

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 351465cc-645b-4dc8-b7cf-9900a28233f6 · outbound

This paper cites Invariant measures and global well posedness for SQG equation.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Invariant measures and global well posedness for SQG equation

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:00:30.154762Z

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 7bff6714-b90e-4e80-86c8-d06dafab26d2 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.536256Z

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 9d4ab7c2-7867-4737-bf02-24e180147980 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.518328Z

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 32465c85-2ccc-4e22-9522-91b66b2fb766 · outbound

This paper cites Gussetti.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Gussetti

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.498526Z

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 6cf34d12-ab5a-49ce-9d1b-639efff0e140 · outbound

This paper cites Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Pathwise central limit theorem and moderate deviations via rough paths for SPDEs with multiplicative noise

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:00:30.129284Z

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 969b9f85-ee7b-4377-a4f6-b227688a6028 · outbound

This paper cites Gussetti, A.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Gussetti, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.480684Z

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 2e5e6a85-9df4-40ed-9865-9d526f151eb0 · outbound

This paper cites Hashimoto.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Hashimoto

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.462278Z

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 21ee4328-5365-4611-a235-8379f804f0d5 · outbound

This paper cites Glatt-Holtz, V.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Glatt-Holtz, V

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.447480Z

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 1154c53f-b2af-4329-bb1d-8dc22d1b9844 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.431540Z

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 f1edba24-aadf-41d9-8c32-cdf06b6eccfb · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.415209Z

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 8e1bd5a4-45d4-4ad6-8f31-17aef6769fe5 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.397928Z

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 53dd544a-e189-4cfe-b4e9-b3f49816d50b · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.380585Z

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 5913ebff-aac9-41d6-9cbc-5b61a48f586b · outbound

This paper cites Kuksin, A.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Kuksin, A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.362763Z

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 807a2071-af34-497d-ac90-65873c985d66 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.345260Z

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 87564197-c039-4618-95df-32997718f964 · outbound

This paper cites Kuksin, A.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Kuksin, A

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.327584Z

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 33540188-b7dd-41bf-92c0-3577a547edfd · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.308616Z

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 e46ed2ba-c569-4608-8512-c79dde922c61 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.290447Z

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 54aefd8c-9c08-4e0e-b6d4-8b239344c6c9 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.272924Z

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 4d220971-af7f-438e-95fb-f63b3cc9e347 · outbound

This paper cites Shirikyan.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Shirikyan

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T13:00:30.255370Z

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 a120aa8d-adc5-47fa-a835-326aabf479a5 · outbound

This paper cites Almost sure global well-posedness for the energy supercritical NLS on the unit ball of $\mathbb{R}^3$.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Almost sure global well-posedness for the energy supercritical NLS on the unit ball of $\mathbb{R}^3$

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T13:00:30.039764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af96697d-4e2e-494d-96c2-d25ce6d55c6e · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.236047Z

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 1e39ffbc-2d6c-46c3-861c-1dffc5eb266e · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.218460Z

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 3b163542-4e3f-4018-ba3a-e0c92a4c8541 · outbound

This paper cites an unresolved cited work.

Statistical solutions to the Schr\"odinger map equation in 1D, via the randomly forced Landau-Lifschitz-Gilbert equation Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-10T13:00:30.200623Z

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

No inbound Pith citation observations are available.