Pith. sign in

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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.769960Z digest=sha256:3a86747025a18bbbb631c9faca9946ed96044e5609a23b4d779a17c184fd667d

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.775866Z digest=sha256:53e220bc53c66bda6058615161f466a566cb13deae080350a4cc3f021cf0ee1b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.780371Z digest=sha256:b5ef904cb8e0a4acd40a7e1860aee05b2a7eaaaa7e3945218ac3cc3e2866ac1e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.785012Z digest=sha256:6202fc1c32cb000230e7b2f759eaecfc9e68c2c8841d96636f54ef1ed5b44876

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.789933Z digest=sha256:0412cb5977309457e5f739fbb272ec8916486ea6c2c8470e66b14b2960ee7da4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.795339Z digest=sha256:9618cd0539af78635a1ecccc16394ef62b3778c4fec9cbd6ffbec2f1c3a02114

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.800268Z digest=sha256:0beabb3238dc080063978001f321cfda356af32602d2a3394db596e5b87e7c68

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.804461Z digest=sha256:43bc010c4c8e242e1e869c444cbf107b0a574c8feb448f27c08fc7a3afd9fe59

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
raw_fallback, observed 2026-08-12T11:05:10.188473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.808768Z digest=sha256:51f7442353eabd3578e394f8fad0c49aa78ad18e472d4b694ce8bd22e050ab4e

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.813097Z digest=sha256:5c0eba30ad22ee31073673533dd49934df31b69f596118c488fad932bbfbb8d8

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.817357Z digest=sha256:b144d085cfc7a5cae3b2f0b1a4b966a78a122da52e2a80faa7ce5c8a15c7966c

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.823115Z digest=sha256:e4f6903f304610b3b8367a3aa33c99f8228a3f9b9bdeabc9198fdbff0c658b55

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.827318Z digest=sha256:38a0942525b4d2bcc023d79fe34cc3f20ccf32a0a508d8424b8144d0415de6d5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.831787Z digest=sha256:710e62e0032c0c9f41173aae7a521529045114cfadbbbd33fdbb639c2ffe2eba

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.835973Z digest=sha256:ceb86058bc665d3ae82a319e547776751096856db7185f8d38305142e45e80d4

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.840230Z digest=sha256:1fe0c3e8ec58cc7b515a3debc2dfc9cd55661d6023a4ee91cbdd080faab2c069

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.844434Z digest=sha256:11ba12bcc67cbc1ca99a5ae904d78a6f603d6ad8b709f326354c10a001667a86

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.848676Z digest=sha256:b062983e9a325735f525cade829c48d53d05e05ecbdb3457d0142374da4c2cb2

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.853135Z digest=sha256:4111c719fa6649b0cd1d60c145347b0c51403f4eb6103556e8e372e06308ed37

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.857723Z digest=sha256:de62ca39de5fa184b40de00482cf782ba247d6553a6646a50ca4acc0beef89ab

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.862477Z digest=sha256:2f958ef6cc10caf871dd4490badf6a7b1fc51f708a29db3e28df5d20754962e3

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.866894Z digest=sha256:a90ea2d3c624cde5b6880540eb1c0dd781eb05901dc917ef9a38071f2e737a62

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.871187Z digest=sha256:13a0ce1a20ce7df5d29a51314647c13caf29c3a6de86bd4e28da985324b8b32b

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.875449Z digest=sha256:dae5182a5979aeefbe2c7a96a40d11ea604fe2ea35cb2acda6c6996d9b7d2067

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.879532Z digest=sha256:9c8bec6a08c962f3c2bf26293240c5fb3cc5c38ad554cd293b7fdef0e61dec72

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.883884Z digest=sha256:ac97ed35f6173be3a64f13f28523b04ce330ed38d0540629be359078b0a78a91

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T11:05:09.888031Z digest=sha256:b888111ec001b0cb149c4e64672aa4f4bcbe81bcf2fa27a593ef506f0a10edbf

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-15T21:56:27.603243Z digest=sha256:f009565c80589b1400af2d8bf4f47353d3b22a39b40a368a7884f5def5016853