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Paper Citation Record · LEDGER

The Mathematics of Volatility Surfaces

As of 21 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2608.05198.

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

pith.paper-citation-record.v1
2608.05198 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:48:56.622579Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

52 of 52 outbound references displayed

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  • verified fuzzy37
  • unresolved12
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 583bacde-fbe1-4bef-861a-c8c668f4b11b · outbound

This paper cites Review of Derivatives Research , year =.

The Mathematics of Volatility Surfaces Review of Derivatives Research , year =

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9d6044fd-46c4-431d-8594-f148530017b1 · outbound

This paper cites Dynamics of Implied Volatility Surfaces , journal =.

The Mathematics of Volatility Surfaces Dynamics of Implied Volatility Surfaces , journal =

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3896ea8b-f7be-423c-a1b4-1fa65e6f9817 · outbound

This paper cites A Market Model for Stochastic Implied Volatility , journal =.

The Mathematics of Volatility Surfaces A Market Model for Stochastic Implied Volatility , journal =

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5d0b5dab-d713-4ece-a453-cec3a87e2356 · outbound

This paper cites Mathematical Finance , year =.

The Mathematics of Volatility Surfaces Mathematical Finance , year =

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 17ef8aca-9618-41e1-b467-7df50a161706 · outbound

This paper cites Finance and Stochastics , year =.

The Mathematics of Volatility Surfaces Finance and Stochastics , year =

Reference 5

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 38db1fbc-1bcb-4552-a359-08f768926121 · outbound

This paper cites Local Volatility Dynamic Models , journal =.

The Mathematics of Volatility Surfaces Local Volatility Dynamic Models , journal =

Reference 6

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8e65aded-cba9-4309-8503-1db70914515d · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 7

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 5bb7ff88-d1e6-4530-b254-3e3e2be80157 · outbound

This paper cites Finance and Stochastics , year =.

The Mathematics of Volatility Surfaces Finance and Stochastics , year =

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation d921af34-da14-48cc-918f-650d56b7f26a · outbound

This paper cites , title =.

The Mathematics of Volatility Surfaces , title =

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 3d3cf28c-8020-431f-aa0e-15226d1d6187 · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 10

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 8a4b6dbf-bae6-47b0-82dd-a61eca1f8710 · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 11

Resolution
parse uncertain
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation bf458d29-2015-4c39-871a-fa82883a2eb3 · outbound

This paper cites Quantitative Finance , year =.

The Mathematics of Volatility Surfaces Quantitative Finance , year =

Reference 12

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 53ee6e16-e593-452d-84e9-625745a934f8 · outbound

This paper cites , title =.

The Mathematics of Volatility Surfaces , title =

Reference 13

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a77f180b-878f-429c-94e4-eee80adef597 · outbound

This paper cites , title =.

The Mathematics of Volatility Surfaces , title =

Reference 14

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c22a7d3e-ab5d-47ac-aa8c-208fb5bcbf63 · outbound

This paper cites Nonparametric Option Pricing under Shape Restrictions , journal =.

The Mathematics of Volatility Surfaces Nonparametric Option Pricing under Shape Restrictions , journal =

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fad41b43-038f-4819-a5d6-39ecfa253dcf · outbound

This paper cites and Reisinger, Christoph and Wang, Sheng , title =.

The Mathematics of Volatility Surfaces and Reisinger, Christoph and Wang, Sheng , title =

Reference 16

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation dd57c5b9-3c5f-40cb-b181-53fb768ca57d · outbound

This paper cites Journal of Computational Finance , year =.

The Mathematics of Volatility Surfaces Journal of Computational Finance , year =

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b71a9419-9a97-40df-b133-79254eacac57 · outbound

This paper cites Consistency Problems for.

The Mathematics of Volatility Surfaces Consistency Problems for

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e6890f2a-c36a-44ed-92d8-96db3386975c · outbound

This paper cites 2014 , address =.

The Mathematics of Volatility Surfaces 2014 , address =

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 9eed1a99-14c7-4678-a277-8c0e8cf19c4f · outbound

This paper cites Set-Valued Analysis , publisher =.

The Mathematics of Volatility Surfaces Set-Valued Analysis , publisher =

Reference 20

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 4af0ca1a-16d0-41c1-9054-ba4437161082 · outbound

This paper cites Annali della Scuola Normale Superiore di Pisa, Classe di Scienze , volume =.

The Mathematics of Volatility Surfaces Annali della Scuola Normale Superiore di Pisa, Classe di Scienze , volume =

Reference 21

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation c1134316-3c13-429e-9b36-b03a42ba7166 · outbound

This paper cites Tyrrell and Wets, Roger J.-B.

The Mathematics of Volatility Surfaces Tyrrell and Wets, Roger J.-B

Reference 22

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a0cc4e9e-1dc1-4378-8d24-4d6ae11a76d9 · outbound

This paper cites and Taylor, Jonathan E.

The Mathematics of Volatility Surfaces and Taylor, Jonathan E

Reference 23

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2b01970d-fee4-459b-b068-baa655ad8c7b · outbound

This paper cites Inventiones Mathematicae , year =.

The Mathematics of Volatility Surfaces Inventiones Mathematicae , year =

Reference 24

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation b5a27b98-def1-4719-81c4-506f63f98efa · outbound

This paper cites , title =.

The Mathematics of Volatility Surfaces , title =

Reference 25

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation a9eabdce-6a6d-4642-ad9f-5787f8343d1b · outbound

This paper cites White Noise Driven Quasilinear.

The Mathematics of Volatility Surfaces White Noise Driven Quasilinear

Reference 26

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation ae9b9107-a3c1-4a44-b522-504c7bf129c2 · outbound

This paper cites and Pardoux,.

The Mathematics of Volatility Surfaces and Pardoux,

Reference 27

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0e2ed088-36df-40ff-be05-87834494b5cb · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 28

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation e853d2a9-9181-4292-8246-a60c95fc3dd1 · outbound

This paper cites Euler's Approximations of Solutions of.

The Mathematics of Volatility Surfaces Euler's Approximations of Solutions of

Reference 29

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2608bafa-97bf-4151-9eda-cfbca25ab992 · outbound

This paper cites 1990 , address =.

The Mathematics of Volatility Surfaces 1990 , address =

Reference 30

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 399faf1d-9c63-4da5-9681-e465f18be643 · outbound

This paper cites and Silverman, Bernard W.

The Mathematics of Volatility Surfaces and Silverman, Bernard W

Reference 31

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation faafd564-4c6f-4c7a-b329-833cfec01297 · outbound

This paper cites Inference for Functional Data with Applications , publisher =.

The Mathematics of Volatility Surfaces Inference for Functional Data with Applications , publisher =

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.962825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 74d31830-7bfd-4f12-8e46-552dd8e7eeae · outbound

This paper cites Simulation of Arbitrage-Free Implied Volatility Surfaces , journal =.

The Mathematics of Volatility Surfaces Simulation of Arbitrage-Free Implied Volatility Surfaces , journal =

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.946210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 25abd429-3b2c-4f60-bcd6-a201653a8ae8 · outbound

This paper cites Risks , year =.

The Mathematics of Volatility Surfaces Risks , year =

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.928675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation aa0947aa-f514-431c-b99d-b6e4ed3f97f7 · outbound

This paper cites Quantitative Finance , year =.

The Mathematics of Volatility Surfaces Quantitative Finance , year =

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.542335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.542335Z digest=sha256:99d73120ce33be8f58cd57bf4c01c92c4c5c71845dcf90281e43be8b8faf4e2c

Observation 11fbcee2-2041-4b4e-99be-e4a34be80983 · outbound

This paper cites Quantitative Finance , year =.

The Mathematics of Volatility Surfaces Quantitative Finance , year =

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.902810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.547261Z digest=sha256:764d406fd307536eb3768ecc055001936fddafd4fcb359ac738cb27fa0161736

Observation b9dc7fd3-f987-4268-886e-a692c266d28c · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:48:56.886488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.551948Z digest=sha256:5ce3823c9520d8c77827f77c2fb07274946babd996ef7c647402c04b4ff836de

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

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

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

Reference 38

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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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.556882Z digest=sha256:8aee5d6d8d0104eaf907f0593dc23ab9382d1e2a49edf467b19b2ea32394a11f

Observation 49aee846-2cc0-4473-8df4-ead4dde7088d · outbound

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

The Mathematics of Volatility Surfaces Journal of Machine Learning Research , volume =

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.561982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.561982Z digest=sha256:8af0558219285639a4fec7a279865b1d9a6dcc8010ee2d1acd2af5261d685043

Observation 9dcbf362-e191-4934-aa50-81828ca956f1 · outbound

This paper cites Nature Machine Intelligence , volume =.

The Mathematics of Volatility Surfaces Nature Machine Intelligence , volume =

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.566788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.566788Z digest=sha256:29f84da1ac435e1f68d7c497715c9a705fe113bcea97b6d72b1c4fe7d347fc4e

Observation 9361ec91-7103-4f39-a760-beee1c13f805 · outbound

This paper cites Annals of Mathematics , volume =.

The Mathematics of Volatility Surfaces Annals of Mathematics , volume =

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.571550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.571550Z digest=sha256:dcbafb3ad0034432c2ac845d0f93cccb9a5743da00facc5115e3fbb4f18fe47c

Observation 06ec4992-d4a1-453f-95a9-57e9dc82cc65 · outbound

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

The Mathematics of Volatility Surfaces Journal of Machine Learning Research , volume =

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.576339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.576339Z digest=sha256:8069516a495a186922ca3fdf575febb809e8b7b023426ced746a17732afaa460

Observation c74d59b3-6f4a-42c7-bdb8-6ad4dc7b9168 · outbound

This paper cites Risk , volume =.

The Mathematics of Volatility Surfaces Risk , volume =

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.827074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.581233Z digest=sha256:9534f29e788ddb1f8bffdaecb17ac93377d067d7164d75fb2b1c7bf8b16a6df7

Observation 16598d21-e6a4-408b-a515-9739a55a76ee · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:48:56.809215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.585824Z digest=sha256:5c5136a3c7e10b1745622e2fea8ee356a9059f14bb4749e8a3c4c4b0176c4274

Observation dd7a63e6-9a16-460f-9645-eb2cb91b8d5b · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 45

Resolution
parse uncertain
no resolver link, observed 2026-08-15T14:48:56.590622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.590622Z digest=sha256:7d02cd9a266d7dacea9072d05188ef376f9ba7b1142de60643fcb9288051beaf

Observation 7cee800a-f5f5-4bc3-a4fc-068566176c09 · outbound

This paper cites and Ingersoll, Jonathan E.

The Mathematics of Volatility Surfaces and Ingersoll, Jonathan E

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.780546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.595131Z digest=sha256:d68a381b868b1fb749e1a141fd8538b2be8f2001b1d432c74a3d9c7a648c15e9

Observation 9ff911f4-fe7f-4356-abaa-cb6ebb253d44 · outbound

This paper cites Mathematical Finance , volume =.

The Mathematics of Volatility Surfaces Mathematical Finance , volume =

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.763644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.599969Z digest=sha256:0996d50432c2e189d398ae7633a739b7fd040ce928280acd83ef6a4b27a75c16

Observation 3e86982a-c748-46cc-93c9-ce0e3097d013 · outbound

This paper cites and St rmer, Erling , title =.

The Mathematics of Volatility Surfaces and St rmer, Erling , title =

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.747014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.604906Z digest=sha256:42a38a2e66d14d357252265c0c6d7057237ccea12cc18e5699b9042dc91cb666

Observation 90589ee3-b312-4bcc-9919-fd595defe6eb · outbound

This paper cites Proceedings of the 32nd International Conference on Machine Learning , series =.

The Mathematics of Volatility Surfaces Proceedings of the 32nd International Conference on Machine Learning , series =

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.730326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.609720Z digest=sha256:8be7fef9434d28e10d02390809ef16f9f365543e0103b0bc17b16ce8f50f55ab

Observation cb3a81f6-4978-47b2-b671-35d00826955f · outbound

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

The Mathematics of Volatility Surfaces Journal of Machine Learning Research , volume =

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-15T14:48:56.613856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:48:56.613856Z digest=sha256:b1356049376668f6669773639b006f6ebb483d034a4d49e3c71f8f909d09f4e2

Observation 59b5f0a2-3a6e-4973-b71e-22312b36846f · outbound

This paper cites Journal of Functional Analysis , volume =.

The Mathematics of Volatility Surfaces Journal of Functional Analysis , volume =

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:48:56.700853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.618280Z digest=sha256:044c41b7f427fede92ef74ee6eaf413933958643736cb524a2becf3b86267d48

Observation cca96b29-63fe-4671-b36a-2c411e2c51cc · outbound

This paper cites an unresolved cited work.

The Mathematics of Volatility Surfaces Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:48:56.684492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-15T14:48:56.622579Z digest=sha256:0890be485bac331200df570e7135a4de3aaf50355975ae65f610f8355195a105

Pith citing papers

No inbound Pith citation observations are available.