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Paper Citation Record · LEDGER

Generating Sets of Stochastic Matrices

As of 22 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2411.18946.

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

pith.paper-citation-record.v1
2411.18946 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:05:09.888031Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:56:27.603243Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T21:56:27.972226Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0580187-0e1a-4cc4-862e-02a37755bb74 · outbound

This paper cites Cambridge Series in Statistical and Pr obabilistic Mathematics.

Generating Sets of Stochastic Matrices Cambridge Series in Statistical and Pr obabilistic Mathematics

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.294064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 8db72894-4e48-48c9-9f20-c4e6b9bdbe3f · outbound

This paper cites Cambridge University Press, C ambridge (2012).

Generating Sets of Stochastic Matrices Cambridge University Press, C ambridge (2012)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.280298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.775866Z digest=sha256:bdaf8146052b4393f4df40ef80cc005c19efe0db93619fdf8a9c6cf098863067

Observation 64d08885-101c-4f3d-bc63-0e0fc55b06f2 · outbound

This paper cites Springer, Cham (2024).

Generating Sets of Stochastic Matrices Springer, Cham (2024)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.266772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 191bd486-91c9-4835-bacb-643ce7880fab · outbound

This paper cites Linear Algebra Appl.

Generating Sets of Stochastic Matrices Linear Algebra Appl

Reference 4

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 7597310a-684e-4e88-a217-f8f197c455d4 · outbound

This paper cites Semigroup F orum 51, 319–333 (1995).

Generating Sets of Stochastic Matrices Semigroup F orum 51, 319–333 (1995)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.241051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4739fb91-46a4-42e2-a066-d9abae9cb0ec · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.228278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 066a94b7-2b44-4fd8-b4fa-40145d95c04e · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.214397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.800268Z digest=sha256:8c587bf7e7abb9290b53f1ad26620b298f8ca32c51c19ce78f4c8be3af184c76

Observation 01fd3a5c-1f22-4ec7-818d-762ab7e3c333 · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.201412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.804461Z digest=sha256:b26dcd00984d911ed1d23069cd04b9a3dabe8860a4d8013c5823bbdadc6d59c0

Observation a6bd415d-3ac5-4a4d-a33d-9494a22fe1dd · outbound

This paper cites Linear Algebra Appl.

Generating Sets of Stochastic Matrices Linear Algebra Appl

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.808768Z digest=sha256:4710415802c9dea2ed563ad2d38ff58c9a32273656abc365455df645cf70f0ec

Observation f3f70926-a2bb-4c5b-ba71-129aa9569fa4 · outbound

This paper cites Linear Algebra Appl.

Generating Sets of Stochastic Matrices Linear Algebra Appl

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.175200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.813097Z digest=sha256:9ae85230657e2cf0502f27cc94d6d3db1d5ceb6f6ab210f1605ae667b4c0d8db

Observation a1fc50b7-6533-479c-9606-18502fda9008 · outbound

This paper cites A Sufficient Criterion for Divisibility of Quantum Channels.

Generating Sets of Stochastic Matrices A Sufficient Criterion for Divisibility of Quantum Channels

Reference 11

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T11:05:09.949310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.817357Z digest=sha256:979b82dca2da4ffd001b98a0d2b0acc32dc219cef3b089348275a1b073b7657c

Observation 9367ee9e-5b6b-4525-a6c3-c49f2fb005fa · outbound

This paper cites Cambridge University Pre ss, Cambridge (1987).

Generating Sets of Stochastic Matrices Cambridge University Pre ss, Cambridge (1987)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.161633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.823115Z digest=sha256:d93bd56eaeceb1f321c1454c191dfdabdb7c20abcca28b6096075d5f650d0dc0

Observation 5e67ad83-e1aa-4bcf-84e3-22cf73129600 · outbound

This paper cites Rocky Mt.

Generating Sets of Stochastic Matrices Rocky Mt

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.147497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.827318Z digest=sha256:327ec4a1707ad3950511bcebe2ec237882f3f124d841856fd4fc41e895ebbc55

Observation 5b372d14-4cca-4732-8180-a446a2b24eb4 · outbound

This paper cites Clarendon Press, Oxford (1989).

Generating Sets of Stochastic Matrices Clarendon Press, Oxford (1989)

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.134127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e39780e9-3e67-4896-9b18-9dc7537ae928 · outbound

This paper cites Linear Algebra Appl.

Generating Sets of Stochastic Matrices Linear Algebra Appl

Reference 15

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.835973Z digest=sha256:c79eb7eb8914d2edba86f5040702b9505af87132bc755632f05b423436de1f54

Observation abd15a6b-ebb6-4738-8ecc-fdb38f25a0e0 · outbound

This paper cites Academic Press , London (1976).

Generating Sets of Stochastic Matrices Academic Press , London (1976)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.105886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.840230Z digest=sha256:5c201197031db222a2a44cc78168501bcf3467f29435639f9b330820076e9336

Observation 2020974d-c361-4173-b76f-933be9d1de0a · outbound

This paper cites In: Wendland, W., Efendiev, M.

Generating Sets of Stochastic Matrices In: Wendland, W., Efendiev, M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.091763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.844434Z digest=sha256:222f02d891e91f83073adb9c3b20a2c1d1f04affeab1bad97f17fa035b6f51e6

Observation 1e626b94-3526-44fe-94f6-f0d66474e201 · outbound

This paper cites The dissipation distance for a 2D single crystal with two symmetric slip systems.

Generating Sets of Stochastic Matrices The dissipation distance for a 2D single crystal with two symmetric slip systems

Reference 18

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T11:05:09.929133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.848676Z digest=sha256:f5840b065e0f0f9eba47cdad8fde0c12fd70ace3fae0fc5d843e1fc0a65bf1a8

Observation 88fc3139-5de5-4304-a78e-7f4182485454 · outbound

This paper cites Cambridge University Press, Cambridge (20 10).

Generating Sets of Stochastic Matrices Cambridge University Press, Cambridge (20 10)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.078339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 051b429e-3494-4e0b-80b6-b677612229d9 · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.063501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 27150831-67e0-4614-ac55-60d5a8785a26 · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.050067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.862477Z digest=sha256:a79e8e275b4453d1161ba6d434c94604942fdf90565de30758bdcb0e798cd0da

Observation 1ae7eb28-68ec-4385-99dd-666cc25f5179 · outbound

This paper cites Academic Press, New York (1979).

Generating Sets of Stochastic Matrices Academic Press, New York (1979)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.036250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3e71329a-a5f9-49e1-b81a-43216d2c3f9d · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:10.021858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 45dde3a2-ec2f-4843-9d99-cedbd59072ce · outbound

This paper cites Lin ear Algebra Appl.

Generating Sets of Stochastic Matrices Lin ear Algebra Appl

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:10.007530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation dffbe58b-0b83-4c7e-8f3d-87a473aebf03 · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:09.993136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 43299c44-ab37-4eb9-8fe3-39d2e2217472 · outbound

This paper cites an unresolved cited work.

Generating Sets of Stochastic Matrices Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:05:09.979808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.883884Z digest=sha256:164bc343c44ee69073ebf726ae2033bbfee450eb1b41dcf60963a69c1b7f2ad2

Observation d6436c75-1c97-4799-becf-ef52a44036c5 · outbound

This paper cites In: Proceedings of the 31st Annual Symposium on Fo undations of Computer Science, vol.

Generating Sets of Stochastic Matrices In: Proceedings of the 31st Annual Symposium on Fo undations of Computer Science, vol

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:05:09.964337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-12T11:05:09.888031Z digest=sha256:34d81141d053bfee963867be076575fdf90055e8106959f95c75b65dde6a64ee

Pith citing papers

Observation 5ebce5d3-1d0e-4537-850f-f197140e35d6 · inbound

Divisible and indivisible Stochastic-Quantum dynamics cites this paper.

Divisible and indivisible Stochastic-Quantum dynamics Generating Sets of Stochastic Matrices

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-15T21:56:27.981292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T21:56:27.603243Z digest=sha256:255be7957f03b06113d59dea3ceb0b053e59c7e8678f060f8a08b82db8e108da