Paper Citation Record · LEDGER

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory

As of 13 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2607.28578.

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

pith.paper-citation-record.v1
2607.28578 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T03:14:54.651284Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

13 of 13 outbound references displayed

verified exact0
verified fuzzy0
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 473304ef-7e69-493a-966f-f20f39f24ee3 · outbound

This paper cites Peletier, and Johannes Zimmer,From a large-deviations principle to the wasserstein gradient flow: A new micro–macro passage, Communications in Mathematical Physics307(2011), no.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Peletier, and Johannes Zimmer,From a large-deviations principle to the wasserstein gradient flow: A new micro–macro passage, Communications in Mathematical Physics307(2011), no

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.613137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc4038db-9235-4f81-aaf0-53ffe47f9f28 · outbound

This paper cites Ebin and Jerrold Marsden,Groups of diffeomorphisms and the motion of an incompressible fluid, Annals of Mathematics92(1970), no.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Ebin and Jerrold Marsden,Groups of diffeomorphisms and the motion of an incompressible fluid, Annals of Mathematics92(1970), no

Reference 1965

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.630482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b993f26-5611-4849-9110-07497bfc28ad · outbound

This paper cites 36, 2023, pp.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory 36, 2023, pp

Reference 1970

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.645640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dbb362c-a899-4cea-8c9d-3ce2f847fd1d · outbound

This paper cites an unresolved cited work.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Unresolved cited work

Reference 1982

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.624156Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b5275cf-d457-440d-b5f1-701ea66d0f51 · outbound

This paper cites 30, 2017, pp.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory 30, 2017, pp

Reference 1990

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.639736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4165114-3924-4a19-a337-e07c95ba050b · outbound

This paper cites [Vil03] C´ edric Villani,Topics in optimal transportation, American Mathematical Society, Providence,.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory [Vil03] C´ edric Villani,Topics in optimal transportation, American Mathematical Society, Providence,

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.648403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58329955-6dfa-4d4f-865d-04b757657b1e · outbound

This paper cites 33, 2020, pp.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory 33, 2020, pp

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.636950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ad90e5d-4fd8-4370-a5c1-53ff7906b121 · outbound

This paper cites Newton,An infinite-dimensional statistical manifold modelled on hilbert space, Journal of Functional Analysis263(2012), no.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Newton,An infinite-dimensional statistical manifold modelled on hilbert space, Journal of Functional Analysis263(2012), no

Reference 2001

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.642798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cc0a258-8b1f-4bc6-9a0e-bfcc52e4b095 · outbound

This paper cites 56, 1–39.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory 56, 1–39

Reference 2004

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.627446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 371d39cd-9752-4117-b806-d075e56ce628 · outbound

This paper cites Department of Mathematics, CUNY Graduate Centre, 365 Fifth A venue, New York, NY 10016 Email address:dsakthivadivel@gc.cuny.edu.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Department of Mathematics, CUNY Graduate Centre, 365 Fifth A venue, New York, NY 10016 Email address:dsakthivadivel@gc.cuny.edu

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.651284Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93b8244e-133a-4f2e-9b0a-8b5c6f4fc919 · outbound

This paper cites Duncan, Sebastian J.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Duncan, Sebastian J

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.633816Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17636df1-52e5-46f5-a59a-52267f8ed6cb · outbound

This paper cites Improved Finite-Particle Convergence Rates for Stein Variational Gradient Descent.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory Improved Finite-Particle Convergence Rates for Stein Variational Gradient Descent

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.617234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf83f9bf-3cce-40cf-b455-c4b6f6816c56 · outbound

This paper cites 1, 19–61.

On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory 1, 19–61

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-07-31T03:14:54.621051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.