Paper Citation Record · LEDGER

Diffusion equations from master equations -- A discrete geometric approach --

As of 16 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:1908.04535.

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

pith.paper-citation-record.v1
1908.04535 v4

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:47:27.284503Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

33 of 33 outbound references displayed

verified exact0
verified fuzzy31
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cecc465c-4fee-4236-bc02-f965d33b1ad5 · outbound

This paper cites Kubo, et Al, Statistical physics II , Springer (1991).

Diffusion equations from master equations -- A discrete geometric approach -- Kubo, et Al, Statistical physics II , Springer (1991)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.948894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e5d62ed2-4b25-47dc-b148-c9550d722588 · outbound

This paper cites Krafter and I.M.

Diffusion equations from master equations -- A discrete geometric approach -- Krafter and I.M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.931658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7a1d46bd-e895-410e-be20-e4f61c8fb30b · outbound

This paper cites Weber and E.

Diffusion equations from master equations -- A discrete geometric approach -- Weber and E

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.913416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8c4fd150-f0d4-4d44-883b-9228cd1d890a · outbound

This paper cites Van Kampen, Stochastic Processes in Physics and Chemistry , 3rd edition, North Holland, (2007).

Diffusion equations from master equations -- A discrete geometric approach -- Van Kampen, Stochastic Processes in Physics and Chemistry , 3rd edition, North Holland, (2007)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.895902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 347c0d54-9622-4a65-9c9b-388947e76d49 · outbound

This paper cites Binder, Rep.

Diffusion equations from master equations -- A discrete geometric approach -- Binder, Rep

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.874197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1cc638e8-6440-448b-8a4f-671f93965c4b · outbound

This paper cites Lindblad, Commun.

Diffusion equations from master equations -- A discrete geometric approach -- Lindblad, Commun

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.857253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation adfbc959-e965-4f6b-8ae9-2acd27dc08ab · outbound

This paper cites Baez and J.D.

Diffusion equations from master equations -- A discrete geometric approach -- Baez and J.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.840019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5d0a4c39-e362-4481-a2fe-f20d289665f8 · outbound

This paper cites Goto and H.

Diffusion equations from master equations -- A discrete geometric approach -- Goto and H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.819731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac9b8e5e-2966-42b5-ab62-dbd86165c3c3 · outbound

This paper cites Goto and H.

Diffusion equations from master equations -- A discrete geometric approach -- Goto and H

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.795997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0352eccc-08e1-4069-a6f3-b719243aee07 · outbound

This paper cites Sakai and K.

Diffusion equations from master equations -- A discrete geometric approach -- Sakai and K

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.778020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 742bbc63-4f55-4306-b3e7-6cbca31108b3 · outbound

This paper cites Schnakenberg, Rev.

Diffusion equations from master equations -- A discrete geometric approach -- Schnakenberg, Rev

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.758770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation baa1391e-4a4c-4a11-8c78-57f4d9eeb4cd · outbound

This paper cites Andrieux and P.

Diffusion equations from master equations -- A discrete geometric approach -- Andrieux and P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.741504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9d978e21-c417-423f-b078-e2b15450fd48 · outbound

This paper cites Ohwa and T.

Diffusion equations from master equations -- A discrete geometric approach -- Ohwa and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.722029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation dadc7748-8c5f-41c4-948b-ae53309b4fca · outbound

This paper cites Polettini, Europhys.

Diffusion equations from master equations -- A discrete geometric approach -- Polettini, Europhys

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.705614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8b9903b5-7ac0-4be4-b3eb-4f52c6c84ee2 · outbound

This paper cites System/Environment Duality of Nonequilibrium Netw ork Observables.

Diffusion equations from master equations -- A discrete geometric approach -- System/Environment Duality of Nonequilibrium Netw ork Observables

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.684533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6c473dbb-dd21-49ef-b75b-279ec4745abf · outbound

This paper cites Sunada, Topological Crystallography, Springer, (2013).

Diffusion equations from master equations -- A discrete geometric approach -- Sunada, Topological Crystallography, Springer, (2013)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.665403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c90cd71e-7999-45cc-9738-2b8be060615c · outbound

This paper cites Nakata, et al, Phys.

Diffusion equations from master equations -- A discrete geometric approach -- Nakata, et al, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.642249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fee8d3b4-02b0-48ad-aff1-f2703cff63e8 · outbound

This paper cites Zeidler, Quantum Field Theory III:Gauge Theory , Springer, (2011).

Diffusion equations from master equations -- A discrete geometric approach -- Zeidler, Quantum Field Theory III:Gauge Theory , Springer, (2011)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.622683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 37babf03-36c5-4aad-b85d-441757dfd848 · outbound

This paper cites Nakata, Y.

Diffusion equations from master equations -- A discrete geometric approach -- Nakata, Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.603920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3c7cbc08-ed5f-4b74-8764-39be0ee05aaa · outbound

This paper cites Yoshida, Functional Analysis, Springer, (1995).

Diffusion equations from master equations -- A discrete geometric approach -- Yoshida, Functional Analysis, Springer, (1995)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.586787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 63090d1e-3c32-44ea-90ff-10893c526293 · outbound

This paper cites Nakahara, Geometry, Topology and Physics , Institute of Physics Publishing, (1990).

Diffusion equations from master equations -- A discrete geometric approach -- Nakahara, Geometry, Topology and Physics , Institute of Physics Publishing, (1990)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.568315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d80461f8-0529-4fcb-a4d9-0624fafa0136 · outbound

This paper cites Jiang et al, Math.

Diffusion equations from master equations -- A discrete geometric approach -- Jiang et al, Math

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.549674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c7d7bfb4-124c-47e7-aebd-751114f9409e · outbound

This paper cites Higuchi and T.

Diffusion equations from master equations -- A discrete geometric approach -- Higuchi and T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.531226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4518b24f-5a4c-47f4-bf3c-d8505d43be6c · outbound

This paper cites Sunada, Proc.

Diffusion equations from master equations -- A discrete geometric approach -- Sunada, Proc

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.506417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cb530a1d-4e25-4781-a6d9-4b9f69f9882d · outbound

This paper cites an unresolved cited work.

Diffusion equations from master equations -- A discrete geometric approach -- Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:47:27.485816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6f42b535-a122-474e-815b-ae41a4329c5c · outbound

This paper cites Esposito and C.

Diffusion equations from master equations -- A discrete geometric approach -- Esposito and C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.467275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1014d829-e0bd-4ef0-b43a-4e1bb0b15d8c · outbound

This paper cites Seifert, Eur.

Diffusion equations from master equations -- A discrete geometric approach -- Seifert, Eur

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.449669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 48f12c26-db99-4355-9067-06f9a70f52e3 · outbound

This paper cites Enrico Fermi.

Diffusion equations from master equations -- A discrete geometric approach -- Enrico Fermi

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.430336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d328a89-737a-435d-b014-b8dfceee0eed · outbound

This paper cites Amari and H.

Diffusion equations from master equations -- A discrete geometric approach -- Amari and H

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.410744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f36bcecd-ea53-4b71-b005-b10b7ef22a38 · outbound

This paper cites Nakamura, Jpn.

Diffusion equations from master equations -- A discrete geometric approach -- Nakamura, Jpn

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.392489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 41d6b9f8-215e-4eea-a77e-2858b78aa01c · outbound

This paper cites Fujiwara and S.I.

Diffusion equations from master equations -- A discrete geometric approach -- Fujiwara and S.I

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.373526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 9dc15d50-2314-48ca-84ab-9ee352149f11 · outbound

This paper cites Boumuki and T.

Diffusion equations from master equations -- A discrete geometric approach -- Boumuki and T

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:47:27.355188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 14440d20-7f52-440d-aa80-1463aab44718 · outbound

This paper cites an unresolved cited work.

Diffusion equations from master equations -- A discrete geometric approach -- Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T13:47:27.336571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.