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Paper Citation Record · LEDGER

Generating Sets of Stochastic Matrices

As of 17 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

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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 2026-08-17T06:30:58.91139+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
raw_fallback, observed 2026-08-12T11:05:10.253639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.785012Z digest=sha256:efcd79f3104bd17444067cc2706b0cf06e44e8fc65021c2d112a4eb1a318d82a

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.789933Z digest=sha256:681c57d772822f25e562c4b95c28475cfc48a3dc45b22bb1bba63c10f22811a0

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.795339Z digest=sha256:78eb54363cf1d16ad65af02b5498eb2d5d9abc4815c2f4ab238f42112f64849f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.800268Z digest=sha256:cec002d8c2ddb8af9ddc32ffea7c2f2ff9e7690fdcc3436cf256f7b8a4a3f0fe

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.804461Z digest=sha256:db5a2dc59fce2d8b3619086ee9714c0a08a5e1a67260aa24537a67ee8ceb22a3

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.808768Z digest=sha256:2e2030991cd5114e8bb656c5c6b908aa67d27559ccb7f5afd467e71590eb12e1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.813097Z digest=sha256:da947733f04c628b4681ecb64dc9d67ffbdb35e5605c7c0beb80fca75b240a3f

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.817357Z digest=sha256:be13addfa23dee50d85f4e14e3a121c130bf770242c071d2c9230fcae0707e45

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.823115Z digest=sha256:0f311522323f9ace27eb710ca5a3026bca43b276e504f5441ada3680c8080f1b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.827318Z digest=sha256:79d3b54d7b7d5106f53bce9502bfd697f56b1b134b21abffe042a81e2602a6af

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.831787Z digest=sha256:a97757c55e3d5431d93e88f64e22d4f32c7dca4aa451174e308094996da3c934

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
raw_fallback, observed 2026-08-12T11:05:10.120800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.835973Z digest=sha256:5a05aee54e82bdd1a2ff6a6c01ada554ea4772f4f227d48b8328e768c3f88cb2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.840230Z digest=sha256:71d1bb49f4be22492e2c490218a9ce6018d6e4be2922ebb6731dd7d0f65e5b3b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.844434Z digest=sha256:4f5993f36eaa78e9c88d9baed53d2c332c1ecdd7e2328281f4cde1362a27229d

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.848676Z digest=sha256:de7597065a529bc39e39270110c9ada9edaf8a69be6cff015ce1f0cc7ab9e843

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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.857723Z digest=sha256:6507aaf6de2c76049890567bf8598b2942db63d38e5d35bb58907c54131e03e2

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.862477Z digest=sha256:0e12011b3599d033803bc5c709272dfe5964e38cf2f14e12eee0a6a0728a7c55

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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.883884Z digest=sha256:1ab1431c7b9fb3d4cb57d72e29662a654c4886a590e755784f467c29b2ffcd88

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-12T11:05:09.888031Z digest=sha256:f315908203a2400b05324f4334fbaf9099846040aa9080a58eed9cb21183d40c

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-15T21:56:27.603243Z digest=sha256:677b0894a1ea7433b096798966a2c0b9caa5c7ae04d1ca9186cbbefe7582b61c