Paper Citation Record · LEDGER

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors

As of 19 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2606.30482.

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

pith.paper-citation-record.v1
2606.30482 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T09:38:34.819763Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

28 of 28 outbound references displayed

verified exact0
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eb74e1da-26e5-4e8c-b29b-423262e84ea5 · outbound

This paper cites Bapat, T.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Bapat, T

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.413642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efea1058-88ae-4e11-a760-1bede5ed3731 · outbound

This paper cites Berman, R.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Berman, R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.497459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff7604c7-9140-48d9-a0ed-1d9105e63d8b · outbound

This paper cites Chang, K.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Chang, K

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.589716Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7800d15a-e124-4111-8af9-7a222ea94ce0 · outbound

This paper cites Chang, T.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Chang, T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.704086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca4a4af4-cc52-410e-a02d-cf86bc89f964 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.786676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17c10aaa-51bd-432a-b6c0-ee1b1195c82c · outbound

This paper cites Gleich, L.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Gleich, L

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:31.920960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3921ea3b-73cc-4d0c-86c1-ec4e1bb0c307 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.028220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5109a64-775a-4da1-9785-1f3ba6748f90 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.137335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6552c467-4a83-4bc8-9e6d-f4b4687cbb87 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.262757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c03cd6eb-de49-4137-bd4a-bcf1c019dd22 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.386864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da01cef-4518-4a8a-a785-6edd383db495 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.557122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9a50a3f-b0d9-42d0-bb22-a5492d19bcd4 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.662746Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 313623f4-c9d1-443c-9020-5c0629fcf979 · outbound

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

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Iosifescu,Finite Markov Processes & Their Applications, Dover Pub- lications, 2007

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.780775Z

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Unavailable: canonical work link unavailable.

Observation 2d0ab574-cdef-48f1-856b-08b7accbab56 · outbound

This paper cites Kemeny, J.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Kemeny, J

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:32.913381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7363d5cc-7b07-455b-97be-d79a202ec8a7 · outbound

This paper cites Kolda, B.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Kolda, B

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.026031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc1b158a-db21-4cdc-b290-3c251d755d38 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.170811Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c55835cd-ce59-4daf-ab3c-b604e00abe34 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.289980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67d384c1-54c7-4ce0-9a41-16882e342074 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.400384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03a4ef32-5675-463f-8daf-c06f4026c94f · outbound

This paper cites Martin, R.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Martin, R

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.544536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe46da6f-f935-4fbd-9d0a-d26a69f99505 · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.649870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ff62220b-90e7-442e-a74b-c777c0ae087e · outbound

This paper cites Rosales, P.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Rosales, P

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.771211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b7444c7-d485-4601-90a4-90fe37e9bf94 · outbound

This paper cites Smilde, R.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Smilde, R

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:33.939343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31fb1d04-4237-4233-ba1e-1ae375c76565 · outbound

This paper cites Vladimirescu, Periodicitate in lanturile Markov duble omogene,Studii si Cercetari de Matematica36: 559–561, 1984.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Vladimirescu, Periodicitate in lanturile Markov duble omogene,Studii si Cercetari de Matematica36: 559–561, 1984

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.090568Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cefe8e8c-cdf1-4e54-a792-31852d0e8ae5 · outbound

This paper cites Vladimirescu, Lanturi Markov duble omogene regulate,Analele Uni- versitatii Din Craiova, Seria Matematica, Fizica-Chimie13: 59–62, 1985.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Vladimirescu, Lanturi Markov duble omogene regulate,Analele Uni- versitatii Din Craiova, Seria Matematica, Fizica-Chimie13: 59–62, 1985

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.274626Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4aa31ae3-e4e5-4f2f-b9e9-06c50177ba0f · outbound

This paper cites an unresolved cited work.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.419597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a4de8d6-adcc-4742-a805-806914538a5f · outbound

This paper cites Xu, Can a higher order Markov chain be treated as a first order Markov chain?,Probability in the Engineering & Informational Sciences 40: 400–415, 2026.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Xu, Can a higher order Markov chain be treated as a first order Markov chain?,Probability in the Engineering & Informational Sciences 40: 400–415, 2026

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.576009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b7be2ef-caff-4950-9bd2-e9e295cf0161 · outbound

This paper cites Xu, On computations of limiting probability distributions of higher order Markov chains,Applied Mathematics & Computation531: 130189, 2026.

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors Xu, On computations of limiting probability distributions of higher order Markov chains,Applied Mathematics & Computation531: 130189, 2026

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.705806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6a028e2-188a-4305-9840-aca014e6d5bf · outbound

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

An Alternative Framework for Irreducibility and Primitivity of Nonnegative Tensors HOMC: A MATLAB Package for Higher Order Markov Chains

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-02T09:38:34.819763Z

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Pith citing papers

No inbound Pith citation observations are available.