Paper Citation Record · LEDGER

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes

As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2606.28869.

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

pith.paper-citation-record.v1
2606.28869 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T08:36:10.004000Z

measured 27 of 27 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:56.556882Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:48:56.660801Z

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy20
unresolved3
parse uncertain1
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00cc8d10-72b8-48b2-a502-4a477587781e · outbound

This paper cites Annals of Mathematics , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Annals of Mathematics , volume =

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.458818Z

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 061b41e7-342f-47d9-81a2-1d8e4318e2b9 · outbound

This paper cites Annals of Mathematics , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Annals of Mathematics , volume =

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.452772Z

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 2feb1531-0548-41fa-b3b5-c373232b8c8e · outbound

This paper cites an unresolved cited work.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-10T16:57:25.454643Z

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 88b55138-3306-419f-b4ec-91f4efc92b60 · outbound

This paper cites , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes , title =

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.463935Z

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 0f4d0f5c-749a-4116-97bb-9e1b9fc12ced · outbound

This paper cites and Caruana, Michael and L\'evy, Thierry , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes and Caruana, Michael and L\'evy, Thierry , title =

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.434323Z

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 0c623211-d8cb-49ba-ae61-ffea6d531b73 · outbound

This paper cites and Hairer, Martin , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes and Hairer, Martin , title =

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.436045Z

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 009f0d07-e1ae-406f-9427-6ee583369357 · outbound

This paper cites Annals of Mathematics , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Annals of Mathematics , volume =

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.438237Z

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 cef913cc-c2c7-48cb-83f1-0224fb41ed94 · outbound

This paper cites Advances in Mathematics , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Advances in Mathematics , volume =

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.441285Z

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 61cc8cbe-b210-4f92-ac17-209ae1503bfd · outbound

This paper cites Annals of Probability , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Annals of Probability , volume =

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.442982Z

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 089d9f06-f3de-4244-90a3-4e2a832057db · outbound

This paper cites Journal of Machine Learning Research , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Journal of Machine Learning Research , volume =

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.460500Z

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 fa116d27-eb93-4568-9084-903e3449299a · outbound

This paper cites , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes , title =

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.425259Z

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 15dd65ef-4b41-438d-b239-dbbab30b4fce · outbound

This paper cites and Shekhar, Atul , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes and Shekhar, Atul , title =

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.465486Z

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 ad51dd18-9e60-48e6-994d-cac0a42a12d0 · outbound

This paper cites , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes , title =

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.475792Z

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 dc422edc-a97d-421c-9cfd-459f3b672d8d · outbound

This paper cites Acta Applicandae Mathematicae , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Acta Applicandae Mathematicae , volume =

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.434041Z

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 081f142e-2267-483b-a193-ac5d21e5ae8d · outbound

This paper cites title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes title =

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.401296Z

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 fa7bb6ac-0c10-41f1-bf8a-da2fbfbf061e · outbound

This paper cites and Oakes, David , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes and Oakes, David , title =

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.423067Z

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 ac2c0a9c-4098-4198-9bbc-cdb92385f481 · outbound

This paper cites , title =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes , title =

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.424932Z

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 fdec5001-ace0-46ae-9212-d32fbcbec3ca · outbound

This paper cites IEEE Transactions on Information Theory , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes IEEE Transactions on Information Theory , volume =

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.418587Z

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 d1d116fc-4a0d-47d5-9793-0f6b78f7abb1 · outbound

This paper cites an unresolved cited work.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-07-10T16:57:25.443590Z

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 56517fe7-0990-4b1d-abc9-471d7cda061c · outbound

This paper cites Electronic Communications in Probability , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Electronic Communications in Probability , volume =

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.430824Z

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 33924121-378f-49ab-ba4b-16a4825dce21 · outbound

This paper cites an unresolved cited work.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-10T16:57:25.450779Z

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 8421432a-1d70-4936-9094-5f21439d25c7 · outbound

This paper cites Signature SDEs from an affine and polynomial perspective.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Signature SDEs from an affine and polynomial perspective

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-07-08T01:19:03.887976Z

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 572b43f9-70e8-488b-8b95-5f581c60948b · outbound

This paper cites an unresolved cited work.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Unresolved cited work

Reference 23

Resolution: parse uncertain; raw_fallback, observed 2026-07-10T16:57:25.462206Z

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 d8a5cf26-b635-4201-9bf3-1b3cbb7e6278 · outbound

This paper cites and Victoir, Nicolas B.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes and Victoir, Nicolas B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.478387Z

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 b2e939ff-5be5-4854-8886-8a47470762c8 · outbound

This paper cites Bernoulli , volume =.

A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes Bernoulli , volume =

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T16:57:25.427752Z

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 7e6a7b01-dc93-491c-aef1-966e8bf6ce8f · inbound

Path Portfolio Optimization: Defect, Lift, and the Price of Path Complexity cites this paper.

Path Portfolio Optimization: Defect, Lift, and the Price of Path Complexity A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T08:57:26.947725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5790719f-a439-4e44-8bfa-3830c917116e · inbound

The Mathematics of Volatility Surfaces cites this paper.

The Mathematics of Volatility Surfaces A General Theory of Paths: Signatures, Jump Lifts, and Expected Signatures of Self-Exciting Processes

Reference 38

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T14:48:56.667900Z

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.