Paper Citation Record · LEDGER

Global universal approximation with Brownian signatures

As of 9 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2512.16396.

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

pith.paper-citation-record.v1
2512.16396 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:40:35.596114Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T11:33:21.411554Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T03:47:35.968749Z

Reference resolution

38 of 38 outbound references displayed

verified exact0
verified fuzzy0
unresolved38
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2f9e099c-59d0-4f5f-bd1d-4a93ed1d5b88 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:31.517293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c90ee99b-1ba1-4c55-b69c-c2e3ecac8742 · outbound

This paper cites 2, Springer, 2011.

Global universal approximation with Brownian signatures 2, Springer, 2011

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:31.635582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac33e1de-7183-432f-9003-4e432fc4170c · outbound

This paper cites Hager, Sebastian Riedel, and Tobias Nauen, Stochastic control with signatures, SIAM J.

Global universal approximation with Brownian signatures Hager, Sebastian Riedel, and Tobias Nauen, Stochastic control with signatures, SIAM J

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:31.807310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74b7aa8e-74b6-48e2-9fe4-466ac903729e · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:31.932873Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7e4e7cb-eac1-4c34-b322-59da371143ee · outbound

This paper cites Financial Math.

Global universal approximation with Brownian signatures Financial Math

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.107704Z

Source-reported events for the cited work

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Observation ac5b0868-9a1d-4679-afac-8af03809adfa · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.279360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54be562d-c3e4-4cf0-a6f0-9856fbe2ea56 · outbound

This paper cites Hager, Sebastian Riedel, and John Schoenmakers, Optimal stopping with signatures , The Annals of Applied Probability 33 (2023), no.

Global universal approximation with Brownian signatures Hager, Sebastian Riedel, and John Schoenmakers, Optimal stopping with signatures , The Annals of Applied Probability 33 (2023), no

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.453755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a903559b-c3d3-46df-b4bd-f9f61affb5bf · outbound

This paper cites 29 (2025), no.

Global universal approximation with Brownian signatures 29 (2025), no

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.572869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bca71f14-3bc2-405e-93ef-8da01a2f2ad2 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.740730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69097169-90f3-461a-8cc7-41d3f4d2cd38 · outbound

This paper cites Finance 35 (2025), no.

Global universal approximation with Brownian signatures Finance 35 (2025), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.893050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7041fd81-0a51-447c-bde6-c78e5b86610d · outbound

This paper cites 3, 910--957.

Global universal approximation with Brownian signatures 3, 910--957

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:32.983578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1545a36-f26a-4625-82f3-e8f600c0ffd6 · outbound

This paper cites London Math.

Global universal approximation with Brownian signatures London Math

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.142944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 663ad718-5320-430b-ba1e-765cf1d30ae7 · outbound

This paper cites 4, 1239--1303.

Global universal approximation with Brownian signatures 4, 1239--1303

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.235526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 444b7d3e-d06a-4ce5-b4dc-d0caab41eec0 · outbound

This paper cites 01, 192--202.

Global universal approximation with Brownian signatures 01, 192--202

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.320702Z

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Observation f5894e4a-e148-47c0-8acb-063772b4e855 · outbound

This paper cites 176, 1--42.

Global universal approximation with Brownian signatures 176, 1--42

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.387945Z

Source-reported events for the cited work

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Observation c8b7f145-ca2a-4db9-9649-74d63589c9a4 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.468755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e79704f-4273-4cfd-8d3e-9950a6028c14 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.559329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13ee0d75-b2e3-4232-9d7d-4a72e758b0d9 · outbound

This paper cites Finance 19 (2019), no.

Global universal approximation with Brownian signatures Finance 19 (2019), no

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.622882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 159116f2-c8db-4b42-9928-6aa4195acd5b · outbound

This paper cites Friz and Martin Hairer, A course on rough paths: with an introduction to regularity structures, second edition ed., Universitext, Cham, Switzerland, 2020.

Global universal approximation with Brownian signatures Friz and Martin Hairer, A course on rough paths: with an introduction to regularity structures, second edition ed., Universitext, Cham, Switzerland, 2020

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.694977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d7719d8-b7cb-4e53-b8c8-255a1026aa69 · outbound

This paper cites Folland, Real analysis: modern techniques and their applications, 2.

Global universal approximation with Brownian signatures Folland, Real analysis: modern techniques and their applications, 2

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.750934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 126ec608-fcdf-45f2-acd4-83fa68b4e09f · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.845021Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10934eb3-4f5d-4df6-b354-b3c76d7d05f3 · outbound

This paper cites Theory Related Fields 136 (2006), no.

Global universal approximation with Brownian signatures Theory Related Fields 136 (2006), no

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:33.920713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 707e1e99-76e4-4fbe-a608-5fb74e54e282 · outbound

This paper cites Friz and Nicolas B.

Global universal approximation with Brownian signatures Friz and Nicolas B

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.029566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4e9c4bf-4a3f-4745-88db-c584d1f09201 · outbound

This paper cites Sparse arrays of signatures for online character recognition.

Global universal approximation with Brownian signatures Sparse arrays of signatures for online character recognition

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.095968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ed75188-fa4c-4add-bd02-b70c584b8100 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.168376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1316cdf3-1af5-439e-8fb8-3750dc4d9e13 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.272993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4b27229-ca11-44b8-82e5-bad489864511 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.394100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f05da04d-70ee-48f6-8442-52dfa895a2e5 · outbound

This paper cites Financial Math.

Global universal approximation with Brownian signatures Financial Math

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.512464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b0a78e8-bd50-4ac0-9dc1-b49e9b287941 · outbound

This paper cites Kloeden, Numerical solution of stochastic differential equations, Applications of Mathematics, Stochastic Modelling and Applied Probability; 23, Berlin, Heidelberg, 1992.

Global universal approximation with Brownian signatures Kloeden, Numerical solution of stochastic differential equations, Applications of Mathematics, Stochastic Modelling and Applied Probability; 23, Berlin, Heidelberg, 1992

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.640711Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bd4338a-f1e8-4d62-be55-cc3d2ea2c195 · outbound

This paper cites Kaneko and S.

Global universal approximation with Brownian signatures Kaneko and S

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.756617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4661e3d5-1026-46e9-bbda-897979b89ff0 · outbound

This paper cites Kir \'a ly and Harald Oberhauser, Kernels for sequentially ordered data, J.

Global universal approximation with Brownian signatures Kir \'a ly and Harald Oberhauser, Kernels for sequentially ordered data, J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:34.876147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 452d543a-ee96-496c-b004-aba4b2210441 · outbound

This paper cites Shreve, Brownian motion and stochastic calculus, second ed., Graduate Texts in Mathematics, vol.

Global universal approximation with Brownian signatures Shreve, Brownian motion and stochastic calculus, second ed., Graduate Texts in Mathematics, vol

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.006944Z

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Unavailable: canonical work link unavailable.

Observation ea2c9bdf-886c-4c22-88fe-13d56d34bfff · outbound

This paper cites Lyons, Michael Caruana, and Thierry L\' e vy, Differential equations driven by rough paths, Lecture Notes in Mathematics, vol.

Global universal approximation with Brownian signatures Lyons, Michael Caruana, and Thierry L\' e vy, Differential equations driven by rough paths, Lecture Notes in Mathematics, vol

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.144033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecb68c71-f7fe-40bb-a5b0-7c3312ca37e1 · outbound

This paper cites Learning from the past, predicting the statistics for the future, learning an evolving system.

Global universal approximation with Brownian signatures Learning from the past, predicting the statistics for the future, learning an evolving system

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.252879Z

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Observation 65b647e1-52ac-4fad-a4f8-722278e2e6d6 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.353266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42eb5a77-7c87-454f-b017-c5a53e0b6c0e · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.426024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a89abcb-fe23-41b9-ac69-a3b673c9c936 · outbound

This paper cites an unresolved cited work.

Global universal approximation with Brownian signatures Unresolved cited work

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.491571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc53e00-0b39-4603-8f1e-7ec689ec4fd3 · outbound

This paper cites Schell and R.

Global universal approximation with Brownian signatures Schell and R

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T15:40:35.596114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8c2e2cd6-35d4-4d5d-bd6b-064587cadec9 · inbound

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds cites this paper.

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds Global universal approximation with Brownian signatures

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-07T04:17:57.976054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 318a4770-e5b0-4884-b7ae-844049045e44 · inbound

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds cites this paper.

Weighted universal approximation of differentiable maps on infinite-dimensional manifolds Global universal approximation with Brownian signatures

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-07-07T04:17:57.976054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.