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Paper Citation Record · LEDGER

On Limiting Probability Distributions of Higher Order Markov Chains

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2506.08874.

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

pith.paper-citation-record.v1
2506.08874 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:21:32.783218Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T12:44:25.668664Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy22
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a72aab8-e015-4b69-98d4-6c38b2e24ec8 · outbound

This paper cites Bozorgmanesh and M.

On Limiting Probability Distributions of Higher Order Markov Chains Bozorgmanesh and M

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8faaed1a-b3e6-4907-8e9d-d5653d5977bc · outbound

This paper cites Chang, T.

On Limiting Probability Distributions of Higher Order Markov Chains Chang, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.100187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation b2c54ec8-b064-42cb-8f65-164ba3bf680b · outbound

This paper cites an unresolved cited work.

On Limiting Probability Distributions of Higher Order Markov Chains Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:21:35.091489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7c8042d4-2a84-488d-8b04-70fe0a468dba · outbound

This paper cites an unresolved cited work.

On Limiting Probability Distributions of Higher Order Markov Chains Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:21:35.082817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 81a31b6e-e617-49e3-b76b-5cb4b4fb1085 · outbound

This paper cites Fasino, F.

On Limiting Probability Distributions of Higher Order Markov Chains Fasino, F

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.074441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 8ab46aa3-9381-4dd0-9cd9-3d35c661557f · outbound

This paper cites Gautier, F.

On Limiting Probability Distributions of Higher Order Markov Chains Gautier, F

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.066176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation f9b1a6bb-7c3b-4f00-8fee-08b02a9e4e0d · outbound

This paper cites Geiger, A sufficient condition for a unique invariant distribution of a higher-order Markov chain, Statistics and Probability Letters 130 (2017): 49–56.

On Limiting Probability Distributions of Higher Order Markov Chains Geiger, A sufficient condition for a unique invariant distribution of a higher-order Markov chain, Statistics and Probability Letters 130 (2017): 49–56

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.058059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 93945287-7780-4dce-a224-15ac0fa7bd8f · outbound

This paper cites Gleich, L.H.

On Limiting Probability Distributions of Higher Order Markov Chains Gleich, L.H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.047591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 4a5616b2-8589-488f-96a4-30bab987236a · outbound

This paper cites an unresolved cited work.

On Limiting Probability Distributions of Higher Order Markov Chains Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:21:35.038172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation fb023169-455c-41d7-957c-0d48949af3b7 · outbound

This paper cites Han and J.

On Limiting Probability Distributions of Higher Order Markov Chains Han and J

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.030044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation d5acc061-fd63-44b5-a77b-5c7ee6ebc2df · outbound

This paper cites Han and J.

On Limiting Probability Distributions of Higher Order Markov Chains Han and J

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.020787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 59243c51-4cb7-4818-92e2-3abb44ffd483 · outbound

This paper cites an unresolved cited work.

On Limiting Probability Distributions of Higher Order Markov Chains Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:21:35.012051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 9a38bad9-c8b1-4330-b9d4-c99549969d4b · outbound

This paper cites Hu and L.

On Limiting Probability Distributions of Higher Order Markov Chains Hu and L

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:35.002649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:31.908208Z digest=sha256:1d152d8be8dc5b350d78f70015114c551c393de2a8a09ab35cc441ba08f32f65

Observation e99794fc-a240-40f9-805c-f22d54796d65 · outbound

This paper cites Huang and L.

On Limiting Probability Distributions of Higher Order Markov Chains Huang and L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.992510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:31.964490Z digest=sha256:14f66ce37b45f7cfc611c384d4c522454f1d03dad8b0c2d9d2c81933cb44c32a

Observation 8001f2c2-e9ed-44e7-b757-6501c9d97d2b · outbound

This paper cites Hunter, Mathematical Techniques of Applied Probability, Vol.

On Limiting Probability Distributions of Higher Order Markov Chains Hunter, Mathematical Techniques of Applied Probability, Vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.982316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.030985Z digest=sha256:a8a071675e29ab8bbf0d3da9a2ac6c596a6fb1fed3de1cebc8dbbcd1ebecccd3

Observation 3eafb84d-f900-427e-89ec-65b00f3ef7f0 · outbound

This paper cites Iosifescu, Finite Markov Processes and Their Applications , Dover Publications, New York, 2007.

On Limiting Probability Distributions of Higher Order Markov Chains Iosifescu, Finite Markov Processes and Their Applications , Dover Publications, New York, 2007

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.971938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.098714Z digest=sha256:fa774f8526ba842d0fd483013b09269d04db707b1dd493b464db7799859b53d5

Observation 3fbea593-07cc-4513-bbbf-10f02432a9ed · outbound

This paper cites Kemeny, J.L.

On Limiting Probability Distributions of Higher Order Markov Chains Kemeny, J.L

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.961409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.155918Z digest=sha256:ad16cd1071e156e368eb78dcb0465a75d39281ae316f55ae4b23f7791210fc9f

Observation f80b2e9b-d038-45e5-9517-7eb4b3092ef6 · outbound

This paper cites Kilmer, C.D.

On Limiting Probability Distributions of Higher Order Markov Chains Kilmer, C.D

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.838992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation eed20986-96bf-4879-90ac-6c39f4d7c0e0 · outbound

This paper cites Kolda, B.W.

On Limiting Probability Distributions of Higher Order Markov Chains Kolda, B.W

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.593566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.274671Z digest=sha256:a5a404d33028de643cc10c817fcad6995c0ee59c0291ae15b276c1feea2dfeb3

Observation 4b72ef13-b8aa-4ed1-b4cd-829cbddcd341 · outbound

This paper cites Li and S.

On Limiting Probability Distributions of Higher Order Markov Chains Li and S

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.379437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.329607Z digest=sha256:b2a8478668c9162dca8e9f4306c435d9aa7ae9aecac2ecf622510cd2808f6956

Observation b1c96549-5c70-4473-95c1-6a70b92929f0 · outbound

This paper cites Li and M.

On Limiting Probability Distributions of Higher Order Markov Chains Li and M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:34.129402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation e96921ff-178a-401e-a4e0-3de67569cd08 · outbound

This paper cites Martin, R.

On Limiting Probability Distributions of Higher Order Markov Chains Martin, R

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:33.891203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.481712Z digest=sha256:9dd371ed13489ea135e5ba4d6448a20d8e59f79d70111aebab3da74ad0b810c4

Observation 7065f266-a1ae-4abe-a9b6-3d000953cd08 · outbound

This paper cites Qi and Z.

On Limiting Probability Distributions of Higher Order Markov Chains Qi and Z

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:33.683937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.547818Z digest=sha256:cab515c34f1463ced1fcaf9bd7def98110f978719a8a2cade2f7f6025cae6325

Observation cea2d83c-a2ca-4ba1-b5ea-0f5e1b31033a · outbound

This paper cites Smilde, R.

On Limiting Probability Distributions of Higher Order Markov Chains Smilde, R

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:33.413380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.616100Z digest=sha256:c754068c85096bdf73ca986680b7814a9906de12f2be4a8d961fb53a81f09b70

Observation 34ab456d-6a9e-464a-966c-14e8a7722363 · outbound

This paper cites Vladimirescu, Regular homogeneous Markov chains of order two, Analele Universitatii din Craiova, Seria Matematica, Fizica-Chimie 13 (1985): 59–63 (Romanian).

On Limiting Probability Distributions of Higher Order Markov Chains Vladimirescu, Regular homogeneous Markov chains of order two, Analele Universitatii din Craiova, Seria Matematica, Fizica-Chimie 13 (1985): 59–63 (Romanian)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:33.173077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.686627Z digest=sha256:4435df72143bd9bebfb98e7a203fd2cde9f5f2a39d4442926a2ac188b392b438

Observation 3bb57fb1-3799-472c-93ef-57fa2aeb94d3 · outbound

This paper cites Wu and M.T.

On Limiting Probability Distributions of Higher Order Markov Chains Wu and M.T

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:21:32.961809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:21:32.783218Z digest=sha256:35e75c13c7db51a196b444df0197a2d2b5d756d4653e6ac5fe441e95771a75a8

Pith citing papers

Observation ce4daf44-6610-43b4-8e8f-d3a512b5b7c8 · inbound

HOMC: A MATLAB Package for Higher Order Markov Chains cites this paper.

HOMC: A MATLAB Package for Higher Order Markov Chains On Limiting Probability Distributions of Higher Order Markov Chains

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-04T12:44:25.668664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T12:44:25.668664Z digest=sha256:a67fe0be2c4d966744587bf198658648e2262f5a297f164d1c21743b486dfca1