Paper Citation Record · LEDGER

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain?

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2512.01969.

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

pith.paper-citation-record.v1
2512.01969 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:13:25.823659Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy0
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04625069-7874-4046-a9da-895c850629db · outbound

This paper cites Baena-Mirabete, P.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Baena-Mirabete, P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.272578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dd7eb8d-0103-4d0a-a27c-09967f3aeddd · outbound

This paper cites Burks, R.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Burks, R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.376892Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc23d9d7-2364-4545-9c4d-445e320f3d77 · outbound

This paper cites Chang, T.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Chang, T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.419996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09ea1572-a4e0-44a5-8c52-186ab002cb64 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.476417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13f4a191-d97d-474f-9737-b9aca6df63e5 · outbound

This paper cites Doob,Stochastic Processes, Wiley Classic Library Edition, Wiley, 1990.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Doob,Stochastic Processes, Wiley Classic Library Edition, Wiley, 1990

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.604840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 543b1481-2d85-45fd-95ba-992132c75c38 · outbound

This paper cites Flett, N.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Flett, N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.692529Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6da972a5-654e-49f5-a88c-d117457714b7 · outbound

This paper cites Geiger, A sufficient condition for a unique invariant distribution of a higher-order Markov chain,Statistics & Probability Letters130: 49–56, 2017.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Geiger, A sufficient condition for a unique invariant distribution of a higher-order Markov chain,Statistics & Probability Letters130: 49–56, 2017

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.811937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf41c86f-ea03-4e3e-aa26-64f2bc4f1601 · outbound

This paper cites Gleich, L.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Gleich, L

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.916732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a0d4fbde-c99d-422a-9422-af9674e56bd2 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:23.988981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcdd9b1b-cff6-42f6-a6b0-25bab9010d52 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.052748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 66591e7b-eccc-449f-a0ad-b0b090558ce4 · outbound

This paper cites Hunter,Mathematical Techniques of Applied Probability, Volume I: Discrete Time Models: Basic Theory, Academic Press, 1983.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Hunter,Mathematical Techniques of Applied Probability, Volume I: Discrete Time Models: Basic Theory, Academic Press, 1983

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.140664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18d7da25-3d01-4233-805d-d6be29edf5fe · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.235945Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7995dec-c1d7-4feb-9b2a-6aa5d21a58ca · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.309803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5741616-4808-4a4d-b1aa-0a6d3ecbcb36 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.385181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a68a2fb-a171-480e-829b-2d8951ae6e9a · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.459135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7138d4da-c3d1-438f-94f3-00939b5eea9e · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.575868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8e544cf-c526-4d48-9a0b-ac9468a250db · outbound

This paper cites Iosifescu,Finite Markov Processes & Their Applications, Dover Pub- lications, 2007.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Iosifescu,Finite Markov Processes & Their Applications, Dover Pub- lications, 2007

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.662907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ed5f3d2-702d-4d4a-aeb9-05fbee0c7b00 · outbound

This paper cites Islam, R.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Islam, R

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.758257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c173a565-3804-4b40-8d4a-603c868fed27 · outbound

This paper cites Kemeny, J.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Kemeny, J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.822189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9502138-25f2-4499-87de-46fbdff692c2 · outbound

This paper cites Kolda, B.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Kolda, B

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.874472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa3cdd9c-34d5-45ed-86d1-340e05b6c599 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:24.954349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e15d2eb4-dc41-4d00-911d-f4bfad54f91b · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.039327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4f0255e-9b7a-4b3f-b767-6c8cb4a95a45 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.092787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3773838d-2297-4b3a-8074-0b6ce523f872 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.158463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2cf4b831-9dec-4dc5-92b8-0b8e561a0155 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.246571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b26fadf-035b-4b20-9534-9ae96693da0b · outbound

This paper cites Martin, R.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Martin, R

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.314759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd393ac7-69a5-4984-bb9b-3f64714706d3 · outbound

This paper cites Masseran, Markov chain model for the stochastic behaviors of wind- direction data,Energy Conversion & Management92: 266–274, 2015.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Masseran, Markov chain model for the stochastic behaviors of wind- direction data,Energy Conversion & Management92: 266–274, 2015

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.365702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b80b263-661b-4cba-a862-1d918f425fdf · outbound

This paper cites Sanjari, H.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Sanjari, H

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.419966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb71e9b0-7aa7-40b8-a31a-7f343f241a2d · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.510015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97c2b133-9227-4441-9c48-88d6f703b939 · outbound

This paper cites Xiong, R.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Xiong, R

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.641318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ee07a08-c63d-4771-ab04-918696288053 · outbound

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

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? HOMC: A MATLAB Package for Higher Order Markov Chains

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.726758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dec94f2d-9409-4d0b-b61f-57ecd51a3765 · outbound

This paper cites an unresolved cited work.

Can a Higher Order Markov Chain Be Treated as a First Order Markov Chain? Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T19:13:25.823659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.