Paper Citation Record · LEDGER

Topological Recursion and Quantum Path Signatures

As of 18 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2608.02861.

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

pith.paper-citation-record.v1
2608.02861 v1

Coverage vector

measured 31 of 31 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T15:07:50.130153Z

measured 31 of 31 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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Reference resolution

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation 9fffb62c-9ad1-43ec-9158-f7b7d59d7d85 · outbound

This paper cites Multiloop correlators for two- dimensional quantum gravity.Physics Letters B, 251(4):517–524, 1990.

Topological Recursion and Quantum Path Signatures Multiloop correlators for two- dimensional quantum gravity.Physics Letters B, 251(4):517–524, 1990

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.542446Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ff60998e-864d-4a2c-8498-7fce3324d406 · outbound

This paper cites Number 118.

Topological Recursion and Quantum Path Signatures Number 118

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T15:07:50.013253Z

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Observation 8c137f28-abd1-492a-89c1-e7339ec0bbe6 · outbound

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

Topological Recursion and Quantum Path Signatures Lecture notes on rough paths and applications to machine learning

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T15:07:50.017368Z

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Observation daea068b-1115-4676-a7ee-85a6107a50f4 · outbound

This paper cites Free probability, path developments and signature kernels as universal scaling limits.The Annals of Applied Probability, 36(2):1082–1109, 2026.

Topological Recursion and Quantum Path Signatures Free probability, path developments and signature kernels as universal scaling limits.The Annals of Applied Probability, 36(2):1082–1109, 2026

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.522937Z

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Observation 70f09f58-f002-4978-8b17-7c114cb86c83 · outbound

This paper cites Iterated integrals and exponential homomorphisms.Proceedings of the London Mathematical Society, 3(1):502–512, 1954.

Topological Recursion and Quantum Path Signatures Iterated integrals and exponential homomorphisms.Proceedings of the London Mathematical Society, 3(1):502–512, 1954

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.511185Z

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Observation 59d60954-cdcb-4032-9be7-91b75af4be8d · outbound

This paper cites Integration of paths, geometric invariants and a generalized baker-hausdorff formula.Annals of Mathematics, 65(1):163–178, 1957.

Topological Recursion and Quantum Path Signatures Integration of paths, geometric invariants and a generalized baker-hausdorff formula.Annals of Mathematics, 65(1):163–178, 1957

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.499825Z

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Observation 51f9a440-4248-4296-845e-28c4e3a7feb9 · outbound

This paper cites A primer on the signature method in machine learn- ing.

Topological Recursion and Quantum Path Signatures A primer on the signature method in machine learn- ing

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.488210Z

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Observation a970b12d-f52e-47b7-973f-c4dc22cfeebe · outbound

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

Topological Recursion and Quantum Path Signatures Characteristic functions of measures on geometric rough paths

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.476703Z

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Observation d167b1b7-db4a-4cf9-8f57-b75afa04b4ac · outbound

This paper cites Neural signature kernels as infinite-width-depth-limits of controlled resnets.

Topological Recursion and Quantum Path Signatures Neural signature kernels as infinite-width-depth-limits of controlled resnets

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.465197Z

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Observation 9b5d15aa-680b-48e1-a62a-0c6a91970d30 · outbound

This paper cites Quantum Path Signatures.

Topological Recursion and Quantum Path Signatures Quantum Path Signatures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T15:07:50.046026Z

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Observation 5db79731-aaa5-4099-88c4-b0dfa617b44c · outbound

This paper cites Planarly branched rough paths and rough differential equations on homogeneous spaces.

Topological Recursion and Quantum Path Signatures Planarly branched rough paths and rough differential equations on homogeneous spaces

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.453810Z

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Observation c0f8f756-0298-4138-9ae8-547c93c94060 · outbound

This paper cites Counting surfaces.Progress in Mathematical Physics, 70:414, 2016.

Topological Recursion and Quantum Path Signatures Counting surfaces.Progress in Mathematical Physics, 70:414, 2016

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.442203Z

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Observation 077755c5-2b5b-44ba-8d97-de84504f4b40 · outbound

This paper cites Invariants of algebraic curves and topological ex- pansion.Communications in Number Theory and Physics, 1(2):347–452, 2007.

Topological Recursion and Quantum Path Signatures Invariants of algebraic curves and topological ex- pansion.Communications in Number Theory and Physics, 1(2):347–452, 2007

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.430230Z

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Observation 24a5a51f-0400-484b-97e3-a9f08f15fe53 · outbound

This paper cites Ecalle’s arborification-coarborification transforms and connes-kreimer hopf algebra.

Topological Recursion and Quantum Path Signatures Ecalle’s arborification-coarborification transforms and connes-kreimer hopf algebra

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.417732Z

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Observation af8bf843-ec28-401d-99b9-a2e318e6c4b8 · outbound

This paper cites American Mathematical Soc., 2019.

Topological Recursion and Quantum Path Signatures American Mathematical Soc., 2019

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.404975Z

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Observation f9573131-2a31-43ec-b03a-7a6dfc8ab701 · outbound

This paper cites Second order asymptotics for matrix models.

Topological Recursion and Quantum Path Signatures Second order asymptotics for matrix models

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.391924Z

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Observation 4e739b89-e4f9-45e2-aefe-aa2714b30645 · outbound

This paper cites Uniqueness for the signature of a path of bounded variation and the reduced path group.Annals of Mathematics, pages 109–167, 2010.

Topological Recursion and Quantum Path Signatures Uniqueness for the signature of a path of bounded variation and the reduced path group.Annals of Mathematics, pages 109–167, 2010

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.379155Z

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Observation dd0557f0-41be-4c47-975d-31015990eb8e · outbound

This paper cites Deep signature transforms.Advances in neural information processing systems, 32, 2019.

Topological Recursion and Quantum Path Signatures Deep signature transforms.Advances in neural information processing systems, 32, 2019

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.365635Z

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Observation 6823ae76-928b-4c9d-a27c-394e342ff37a · outbound

This paper cites Kernels for sequentially ordered data.Journal of Machine Learning Research, 20(31):1–45, 2019.

Topological Recursion and Quantum Path Signatures Kernels for sequentially ordered data.Journal of Machine Learning Research, 20(31):1–45, 2019

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.350759Z

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Observation a637dd2d-bf7f-4dc0-bbc2-ad3b41a44a86 · outbound

This paper cites Pcf-gan: generating sequential data via the character- istic function of measures on the path space.Advances in Neural Information Processing Systems, 36:39755–39781, 2023.

Topological Recursion and Quantum Path Signatures Pcf-gan: generating sequential data via the character- istic function of measures on the path space.Advances in Neural Information Processing Systems, 36:39755–39781, 2023

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.337782Z

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Observation 827ac92b-c437-4d59-abb7-f5c1c9d8d95a · outbound

This paper cites Differential equations driven by rough signals.Revista Matem´ atica Iberoamericana, 14(2):215–310, 1998.

Topological Recursion and Quantum Path Signatures Differential equations driven by rough signals.Revista Matem´ atica Iberoamericana, 14(2):215–310, 1998

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.324531Z

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Observation 659bcf8b-f280-4e73-9826-a0adb16849b9 · outbound

This paper cites Springer, 2007.

Topological Recursion and Quantum Path Signatures Springer, 2007

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.310547Z

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Observation bbd586fe-6b7a-462c-b72c-4aa878f24210 · outbound

This paper cites Loop equations and 1n expansion.Physics Reports, 102(4):199–290, 1983.

Topological Recursion and Quantum Path Signatures Loop equations and 1n expansion.Physics Reports, 102(4):199–290, 1983

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.293066Z

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Observation 6c2bfa7c-b097-445d-bcb3-208d545a63bb · outbound

This paper cites Springer, 2017.

Topological Recursion and Quantum Path Signatures Springer, 2017

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.277529Z

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Observation 2b9143e8-9d0a-42db-8be3-94a75f63cbe6 · outbound

This paper cites Cambridge University Press, 2006.

Topological Recursion and Quantum Path Signatures Cambridge University Press, 2006

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.262393Z

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Observation b0018107-d6ae-4b03-b821-ce0cd79937f1 · outbound

This paper cites Free lie algebras.

Topological Recursion and Quantum Path Signatures Free lie algebras

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.248207Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 725a1b7e-3b5a-485e-80f9-4171340a3520 · outbound

This paper cites The signature kernel is the solution of a goursat pde.SIAM Journal on Mathematics of Data Science, 3(3):873–899, 2021.

Topological Recursion and Quantum Path Signatures The signature kernel is the solution of a goursat pde.SIAM Journal on Mathematics of Data Science, 3(3):873–899, 2021

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.236110Z

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Observation 2d2dd839-421a-44ba-8036-91552dd0fcc5 · outbound

This paper cites A planar diagram theory for strong interactions.

Topological Recursion and Quantum Path Signatures A planar diagram theory for strong interactions

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T15:07:50.116854Z

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Unavailable: canonical work link unavailable.

Observation 3b0654f0-cd87-4c16-a711-bcc82faa3278 · outbound

This paper cites Addition of certain non-commuting random variables.Journal of functional analysis, 66(3):323–346, 1986.

Topological Recursion and Quantum Path Signatures Addition of certain non-commuting random variables.Journal of functional analysis, 66(3):323–346, 1986

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.214103Z

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Observation cef733dd-32e9-4035-8287-f856b7267c43 · outbound

This paper cites Characteristic vectors of bordered matrices with infinite dimensions i.

Topological Recursion and Quantum Path Signatures Characteristic vectors of bordered matrices with infinite dimensions i

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.201492Z

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Observation 8bf7bf69-de5f-4a07-8432-40db7e921a55 · outbound

This paper cites Developing the path signature methodology and its application to landmark-based human action recognition.

Topological Recursion and Quantum Path Signatures Developing the path signature methodology and its application to landmark-based human action recognition

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:07:50.188137Z

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Pith citing papers

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