Paper Citation Record · LEDGER

Expected Signature Kernels for L\'evy Rough Paths

As of 20 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 1 inbound Pith citation observation for arXiv:2509.07893.

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

pith.paper-citation-record.v1
2509.07893 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:19:13.363703Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:40:18.244485Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

verified exact0
verified fuzzy33
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6007124a-9fe3-4d52-b95b-48e2abadb5f0 · outbound

This paper cites Signature-based validation of real-world economic scenarios.

Expected Signature Kernels for L\'evy Rough Paths Signature-based validation of real-world economic scenarios

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.926304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c99fb6f9-6a9b-47e4-b0a5-74c915339044 · outbound

This paper cites L \'e vy flows on manifolds and L \'e vy processes on Lie groups.

Expected Signature Kernels for L\'evy Rough Paths L \'e vy flows on manifolds and L \'e vy processes on Lie groups

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.913912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4d498a62-fa6d-4f5a-85f9-e8dc7f48adf5 · outbound

This paper cites L \'e vy processes and stochastic calculus.

Expected Signature Kernels for L\'evy Rough Paths L \'e vy processes and stochastic calculus

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T16:19:13.203300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcdabcb8-49b6-426c-bbe4-51840be6ac8a · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.894326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ac2d0736-ec39-4bd4-a1fb-8570d02ddd35 · outbound

This paper cites Signature Methods in Finance.

Expected Signature Kernels for L\'evy Rough Paths Signature Methods in Finance

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.884303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 47e0e383-5d6c-4d74-a07d-f173055dcc26 · outbound

This paper cites Friz, Sylvie Paycha, and Rosa Prei.

Expected Signature Kernels for L\'evy Rough Paths Friz, Sylvie Paycha, and Rosa Prei

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.871331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c1f14560-3f04-4b62-b696-e328e2ccc510 · outbound

This paper cites Random walks and L \'e vy processes as rough paths.

Expected Signature Kernels for L\'evy Rough Paths Random walks and L \'e vy processes as rough paths

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.858228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9cb98148-233a-46d2-ad0a-494dd045e8b5 · outbound

This paper cites Characteristic functions of measures on geometric rough paths.

Expected Signature Kernels for L\'evy Rough Paths Characteristic functions of measures on geometric rough paths

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.847371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c155d49f-e1ab-448f-a8c7-c7fd1bf2650b · outbound

This paper cites Weighted signature kernels.

Expected Signature Kernels for L\'evy Rough Paths Weighted signature kernels

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.836652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 38b9bad3-f765-41e9-b890-7908a238e730 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.825847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cbb1a3ac-b699-43ab-a82f-77bb47284f46 · outbound

This paper cites Signature moments to characterize laws of stochastic processes.

Expected Signature Kernels for L\'evy Rough Paths Signature moments to characterize laws of stochastic processes

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T16:19:13.243446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c86065ed-c6fe-4a7f-9e6a-636f21a9393d · outbound

This paper cites Signature moments to characterize laws of stochastic processes.

Expected Signature Kernels for L\'evy Rough Paths Signature moments to characterize laws of stochastic processes

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.814766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ed448bae-6cd9-4973-9d51-ec52656cb679 · outbound

This paper cites Advanced combinatorics.

Expected Signature Kernels for L\'evy Rough Paths Advanced combinatorics

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.803207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fedeff60-eaed-46bc-816a-073072ba87d7 · outbound

This paper cites Lecture notes on rough paths and applications to machine learning, 2024.

Expected Signature Kernels for L\'evy Rough Paths Lecture notes on rough paths and applications to machine learning, 2024

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.791413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1b7b079b-62b3-4133-93c9-bb7d8c5f5049 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.780340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0afa1f94-5a05-42de-a15e-1774ccf87bb5 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.768599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 76a74255-6d99-4a50-aefa-f98635665329 · outbound

This paper cites Exponentielle stochastique et int \'e grale multiplicative discontinues.

Expected Signature Kernels for L\'evy Rough Paths Exponentielle stochastique et int \'e grale multiplicative discontinues

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.755853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fc510bca-fde1-46a4-8f1b-0b5813b353bb · outbound

This paper cites Problems in stochastic analysis : connections between rough paths and non-commutative harmonic analysis.

Expected Signature Kernels for L\'evy Rough Paths Problems in stochastic analysis : connections between rough paths and non-commutative harmonic analysis

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.742363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 721fb3f3-79f7-45ef-a0f4-64a176fdd27d · outbound

This paper cites Friz, Paul P.

Expected Signature Kernels for L\'evy Rough Paths Friz, Paul P

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.728801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f607dc0-1048-4a0e-b372-d53a8320c082 · outbound

This paper cites Analytic combinatorics.

Expected Signature Kernels for L\'evy Rough Paths Analytic combinatorics

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.716543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 045be1ca-2aa7-4793-87be-3b7168d9f0fa · outbound

This paper cites Friz and Atul Shekhar.

Expected Signature Kernels for L\'evy Rough Paths Friz and Atul Shekhar

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.703366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3d9d8df2-9356-4369-9424-f32126e30893 · outbound

This paper cites L'exponentielle stochastique des groupes de Lie.

Expected Signature Kernels for L\'evy Rough Paths L'exponentielle stochastique des groupes de Lie

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.690677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2926b93-d03b-48ca-a03d-656b5b94b9ca · outbound

This paper cites Signature maximum mean discrepancy two-sample statistical tests, May 2025.

Expected Signature Kernels for L\'evy Rough Paths Signature maximum mean discrepancy two-sample statistical tests, May 2025

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.678467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5b9b5805-fa41-40fc-b82e-30daac0dc4cd · outbound

This paper cites The analysis of linear partial differential operators.

Expected Signature Kernels for L\'evy Rough Paths The analysis of linear partial differential operators

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.666226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e5875b01-b3aa-44fc-bf91-d2b75e388371 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.652915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5ba59644-568a-4a19-a7f0-94d5d92ce780 · outbound

This paper cites Iserles and S.

Expected Signature Kernels for L\'evy Rough Paths Iserles and S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.641256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e12579da-2007-4e7e-9467-ad13e947c35c · outbound

This paper cites Limit Theorems for Stochastic Processes.

Expected Signature Kernels for L\'evy Rough Paths Limit Theorems for Stochastic Processes

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.628336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 552c7696-e69f-4311-bd61-bcc3fdabfc0b · outbound

This paper cites Deep signature transforms.

Expected Signature Kernels for L\'evy Rough Paths Deep signature transforms

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.615663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 467bf97e-d84e-4a44-8326-3e555a967454 · outbound

This paper cites Kir \'a ly and Harald Oberhauser.

Expected Signature Kernels for L\'evy Rough Paths Kir \'a ly and Harald Oberhauser

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.603839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 269ed899-4fa0-46b2-8b81-21bcf6af25c9 · outbound

This paper cites Kurtz, \'Etienne Pardoux, and Philip Protter.

Expected Signature Kernels for L\'evy Rough Paths Kurtz, \'Etienne Pardoux, and Philip Protter

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.592672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2d5c17f-61db-441d-a2ac-a9910486f17f · outbound

This paper cites The Goursat problem.

Expected Signature Kernels for L\'evy Rough Paths The Goursat problem

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.580780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7f592974-09f9-493a-a994-f6ead48bed73 · outbound

This paper cites L \'e vy processes in Lie groups.

Expected Signature Kernels for L\'evy Rough Paths L \'e vy processes in Lie groups

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.568507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 63e9b713-3c7f-4d23-a0c0-404205c0eeb8 · outbound

This paper cites Inhomogeneous L \'e vy processes in Lie groups and homogeneous spaces.

Expected Signature Kernels for L\'evy Rough Paths Inhomogeneous L \'e vy processes in Lie groups and homogeneous spaces

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.555674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 710b2bf9-3f73-4e88-915b-1ee32a6808a4 · outbound

This paper cites Log- PDE Methods for Rough Signature Kernels.

Expected Signature Kernels for L\'evy Rough Paths Log- PDE Methods for Rough Signature Kernels

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.541323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1df331c1-ab8f-4ea7-ae6f-da2bdc6f88d8 · outbound

This paper cites Sig-wasserstein GANs for conditional time series generation.

Expected Signature Kernels for L\'evy Rough Paths Sig-wasserstein GANs for conditional time series generation

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.526600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 258e3be8-b0f0-4fad-8806-f2a1e21dc6f0 · outbound

This paper cites Rough paths, signatures and the modelling of functions on streams.

Expected Signature Kernels for L\'evy Rough Paths Rough paths, signatures and the modelling of functions on streams

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.511723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c7142a89-5b70-4680-b49d-e05869eb4d63 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.498539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 748b787f-7e43-4be8-910a-564a1413c5bc · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.486963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 144dd425-de5f-40c0-94eb-7cb19bc52b52 · outbound

This paper cites Kernel mean embedding of distributions: a review and beyond.

Expected Signature Kernels for L\'evy Rough Paths Kernel mean embedding of distributions: a review and beyond

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.475519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6e2fcb08-ce06-4e22-893e-8df62987e40a · outbound

This paper cites Free lie algebras.

Expected Signature Kernels for L\'evy Rough Paths Free lie algebras

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.462792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 21b68433-5a86-4a8b-940a-cbb4bf842e2b · outbound

This paper cites The signature kernel is the solution of a Goursat PDE.

Expected Signature Kernels for L\'evy Rough Paths The signature kernel is the solution of a Goursat PDE

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.450854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6bf4b9dc-fe60-4517-8307-639b74d95c03 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.438507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9aa688fa-0f2b-4e1c-8a1a-2fe961f15080 · outbound

This paper cites an unresolved cited work.

Expected Signature Kernels for L\'evy Rough Paths Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-15T16:19:13.426820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e13ac5b3-5335-4826-ab04-dd98d43ed9c1 · outbound

This paper cites Diffusion processes associated with L \'e vy generators.

Expected Signature Kernels for L\'evy Rough Paths Diffusion processes associated with L \'e vy generators

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T16:19:13.413842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 823ebe88-1494-4a00-bc7d-b2843e064e56 · inbound

Dynamic Universal Approximation via Signature Controlled Differential Equations cites this paper.

Dynamic Universal Approximation via Signature Controlled Differential Equations Expected Signature Kernels for L\'evy Rough Paths

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T03:40:18.244485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.