Paper Citation Record · LEDGER

General diffusions on metric graphs as limits of time-space Markov Chains

As of 23 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 1 inbound Pith citation observation for arXiv:2507.23724.

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

pith.paper-citation-record.v1
2507.23724 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:34:21.389777Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-30T23:22:23.805941Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

verified exact5
verified fuzzy20
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ad1b7073-4abe-44dd-8f55-86726eeaa0a4 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:22.065528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8a121d3-22fb-4ff0-baad-1de1617ab703 · outbound

This paper cites General diffusions on the star graph as time-changed Walsh Brownian motion.

General diffusions on metric graphs as limits of time-space Markov Chains General diffusions on the star graph as time-changed Walsh Brownian motion

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:34:21.680431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6f904969-ca12-4a77-bd21-6035455e7923 · outbound

This paper cites Anagnostakis, A.

General diffusions on metric graphs as limits of time-space Markov Chains Anagnostakis, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:22.054721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5c19d319-4ed9-473a-9816-3ef839fdbffa · outbound

This paper cites Ankirchner, T.

General diffusions on metric graphs as limits of time-space Markov Chains Ankirchner, T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:22.043417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b5f6efd-cf9d-4d9c-bb67-0cf538442b1c · outbound

This paper cites Ankirchner, T.

General diffusions on metric graphs as limits of time-space Markov Chains Ankirchner, T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:22.032823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c8a8f3f1-411f-4023-b8c1-b135812a8d3b · outbound

This paper cites Ankirchner, T.

General diffusions on metric graphs as limits of time-space Markov Chains Ankirchner, T

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:22.021993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c74007d7-d40c-4f8e-97c1-97980da48fb7 · outbound

This paper cites Barlow, J.

General diffusions on metric graphs as limits of time-space Markov Chains Barlow, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:22.010545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e2d9ed30-9c4f-478b-b008-8cd2f112947c · outbound

This paper cites Berry and F.

General diffusions on metric graphs as limits of time-space Markov Chains Berry and F

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.998998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 03acadc4-d993-418a-97ea-be83e1575539 · outbound

This paper cites Berry and F.

General diffusions on metric graphs as limits of time-space Markov Chains Berry and F

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-06T10:34:21.665464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6e65d4f9-6841-4f24-b907-949840221089 · outbound

This paper cites From snapping out Brownian motions to Walsh's spider processes on star-like graphs.

General diffusions on metric graphs as limits of time-space Markov Chains From snapping out Brownian motions to Walsh's spider processes on star-like graphs

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:34:21.474593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9f272453-29dd-4a7a-9e05-c4d6b809ef9b · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.988307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 78d61bfb-6818-43e7-89d7-ecfb45f769c0 · outbound

This paper cites Bou-Rabee and M.

General diffusions on metric graphs as limits of time-space Markov Chains Bou-Rabee and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.977608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 851cd523-494a-4d76-8a10-b6315b3c3d16 · outbound

This paper cites Bruggeman and J.

General diffusions on metric graphs as limits of time-space Markov Chains Bruggeman and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.965965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3fa1a95b-cdc2-473a-a257-4b5040c1f217 · outbound

This paper cites Cvijovi´ c.

General diffusions on metric graphs as limits of time-space Markov Chains Cvijovi´ c

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.955642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a1b1596d-a179-424d-b912-ddc38101c10b · outbound

This paper cites Dassios and J.

General diffusions on metric graphs as limits of time-space Markov Chains Dassios and J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.943784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7fabaa55-3d7b-48b9-b95d-cd42525dd1de · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.933285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6a25ae64-a67e-4b6a-830a-9747776064a0 · outbound

This paper cites ´Etor´ e and A.

General diffusions on metric graphs as limits of time-space Markov Chains ´Etor´ e and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.922581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 57c76727-b898-4173-8964-25e0c6044d77 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.911106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c313869c-337f-4ad1-a961-119af66b3ea6 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.901151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 327c062e-bdf8-455f-8714-4f478e383cab · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.890771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a2360cc4-f90e-41f1-8cb2-bb2f836ac3be · outbound

This paper cites Itˆ o.Essentials of stochastic processes.

General diffusions on metric graphs as limits of time-space Markov Chains Itˆ o.Essentials of stochastic processes

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.880362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 66689cbe-fc01-4a84-a084-7368ddd8c239 · outbound

This paper cites Itˆ o and H.

General diffusions on metric graphs as limits of time-space Markov Chains Itˆ o and H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.870452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 99f15c51-c885-46a3-8aa8-b9cd67f743ca · outbound

This paper cites Kallenberg.

General diffusions on metric graphs as limits of time-space Markov Chains Kallenberg

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.859676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5ceb12ed-318c-4a42-af5c-cb4f5313c52b · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.849569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 14cabd8d-b9d1-46df-b621-9908bfdf42ec · outbound

This paper cites Lempa, E.

General diffusions on metric graphs as limits of time-space Markov Chains Lempa, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.838930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation df6fb884-f3a4-454e-9ce3-df60bd4ad12b · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.828297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 52f15f39-8851-43fe-b433-e211abe3903e · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.818139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1c05788f-11dd-465a-8556-b006821d4d4c · outbound

This paper cites Martinez and I.

General diffusions on metric graphs as limits of time-space Markov Chains Martinez and I

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.807785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 14e4e93f-0162-4a13-b3f2-816388736b8e · outbound

This paper cites Meier, L.

General diffusions on metric graphs as limits of time-space Markov Chains Meier, L

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.796818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2b08ee65-328c-40b2-ac68-f183a64f8ea5 · outbound

This paper cites What is actually a metric graph?.

General diffusions on metric graphs as limits of time-space Markov Chains What is actually a metric graph?

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T10:34:21.341278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8e8a677-8210-4c2a-ba8e-293bb71b0816 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.786606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9b76d581-0da9-404d-a963-25abd64d1677 · outbound

This paper cites On spider diffusions having a spinning measure selected from their own local time.

General diffusions on metric graphs as limits of time-space Markov Chains On spider diffusions having a spinning measure selected from their own local time

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:34:21.446359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a27357c1-8e1b-40e8-a6ea-6d4228af30aa · outbound

This paper cites Pavlyukevich and A.

General diffusions on metric graphs as limits of time-space Markov Chains Pavlyukevich and A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.774781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7516e561-556b-4df8-9714-0a15057361e9 · outbound

This paper cites Revuz and M.

General diffusions on metric graphs as limits of time-space Markov Chains Revuz and M

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.764312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e4dd5750-2aff-4e3b-9fbf-54402d84fd76 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.754017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 44aa092f-bb7b-41dc-b72a-bb9636eb5f2e · outbound

This paper cites Cambridge University Press, Cambridge, 2000.

General diffusions on metric graphs as limits of time-space Markov Chains Cambridge University Press, Cambridge, 2000

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:34:21.743050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 22e2d8a5-4aa5-49ac-a1ed-e35b61010f2b · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.732337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 444c591d-8352-402f-a040-60576f4b7e59 · outbound

This paper cites Occupation times on the legs of a diffusion spider.

General diffusions on metric graphs as limits of time-space Markov Chains Occupation times on the legs of a diffusion spider

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-06T10:34:21.428328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e447fed5-3a51-4e27-898b-878ed1adab4a · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T10:34:21.378195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f32e32e-78bc-4620-953e-f37cabe6a01d · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.714742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1779c267-82bc-492c-8a1c-c4e1e05162b7 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.704226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 15cfb6da-e275-4a2f-b00a-05ec86419d72 · outbound

This paper cites an unresolved cited work.

General diffusions on metric graphs as limits of time-space Markov Chains Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:34:21.692397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 4068d2e9-53ca-4398-aa9a-575a78d637c4 · inbound

Markov Chain Approximation of Sticky Diffusions and Hamilton-Jacobi-Bellman Equations on Networks cites this paper.

Markov Chain Approximation of Sticky Diffusions and Hamilton-Jacobi-Bellman Equations on Networks General diffusions on metric graphs as limits of time-space Markov Chains

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-30T23:22:23.805941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.