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Paper Citation Record · LEDGER

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models

As of 23 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2605.30379.

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

pith.paper-citation-record.v1
2605.30379 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T07:54:40.536038Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-09T16:09:53.719855Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

45 of 45 outbound references displayed

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External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 2c198350-55e0-4d9a-a2ea-2f04af1c940b · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 1

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raw_fallback, observed 2026-07-06T14:12:34.404226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:a178927b67ed11f8ee7a5b657649b9d13081033967154324e5f012467c403d3f

Observation b69821bc-5991-4c9e-b4c7-1bc7e4d6e108 · outbound

This paper cites Çinlar, Periodicity in markov renewal theory, Advances in Applied Probability 6 (1) (1974) 61–78.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Çinlar, Periodicity in markov renewal theory, Advances in Applied Probability 6 (1) (1974) 61–78

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 15b4eab0-d833-4975-be7b-506efa352650 · outbound

This paper cites Limnios, G.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Limnios, G

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 6a20a8fc-9674-4bc2-af7a-46e36284761f · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 065017d5-c8ce-4afc-98e1-ee04a93030ee · outbound

This paper cites Barbu, N.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Barbu, N

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 91ddc207-4f02-473c-9303-57f4347b758e · outbound

This paper cites Barbu, M.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Barbu, M

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation a5418da8-b1ed-4214-85b0-abbe61b95f6b · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 7

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raw_fallback, observed 2026-07-06T14:12:34.421324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ce815a90-2d62-4d09-8bcd-2e68bf27fc94 · outbound

This paper cites Pertsinidou, G.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Pertsinidou, G

Reference 8

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 28a68ab7-10ad-466e-b4dc-a824c3973e9f · outbound

This paper cites Votsi, N.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Votsi, N

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 2026-08-23T06:30:58.430688+00:00.

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Observation 7c7ef22e-dfe3-4754-9274-7cbf5a0824fe · outbound

This paper cites Votsi, G.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Votsi, G

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 775fd0d7-e89f-4b56-aa63-6e27722bda4c · outbound

This paper cites Barbu, N.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Barbu, N

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 24d96a64-6652-464b-b049-9a84f40ddc2e · outbound

This paper cites Trevezas, N.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Trevezas, N

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 85a8ef25-b1da-4488-bd57-2badeeb08ff4 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.362223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 489a797a-3c31-4704-9e67-f25e008d143b · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.397509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:88ea4e648882ce10af00fe7d21716bcab9cbd350d6ee64ddf4cd57d10167e63a

Observation 7f2490c1-f8a4-4527-ac13-4101df4ab56d · outbound

This paper cites Xie, On the solution of renewal-type integral equations, Communications in Statis- tics - Simulation and Computation 18 (1) (1989) 281–293.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Xie, On the solution of renewal-type integral equations, Communications in Statis- tics - Simulation and Computation 18 (1) (1989) 281–293

Reference 15

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ad19c197-6e8b-4864-8ff9-f9126405e409 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation fb4cf049-e903-457c-9811-ddecc985bd5e · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation d08e513d-9f50-4abb-acc0-e9124fbb3dad · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:e16de5600e55d62aa90e0646fdf30ccfc5abed406e2ecd23f9bb34aed98c1b5a

Observation 97ea31c7-2e69-4ddf-9c50-5a2441709bf1 · outbound

This paper cites Stehfest, Algorithm 368: Numerical inversion of laplace transforms, Communications of the ACM 13 (1) (1970) 47 – 49.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Stehfest, Algorithm 368: Numerical inversion of laplace transforms, Communications of the ACM 13 (1) (1970) 47 – 49

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:8758901ef174c4046f1a2fb98b8e1a0f2b84690a6f1c9b92c75cabd96bd4ba93

Observation d858a014-4bad-4f79-8e22-bd61af0f3b84 · outbound

This paper cites Finkelstein, V.Zarudnij, Laplace-transforms andfast-repairapproximationsfor mul- tiple availability and its generalizations, IEEE Transactions on Reliability 51 (2) (2002) 168–176.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Finkelstein, V.Zarudnij, Laplace-transforms andfast-repairapproximationsfor mul- tiple availability and its generalizations, IEEE Transactions on Reliability 51 (2) (2002) 168–176

Reference 20

Resolution
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raw_fallback, observed 2026-07-06T14:12:34.403287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:edcc476d73a38290ac99b9f88c087d647bf07608b69abc1e94730bff5bbe2f57

Observation daebc30a-9be8-4e86-b51a-1b5f08719f72 · outbound

This paper cites Limnios, Dependability analysis of semi-markov systems, Reliability Engineering & System Safety 55 (3) (1997) 203–207.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Limnios, Dependability analysis of semi-markov systems, Reliability Engineering & System Safety 55 (3) (1997) 203–207

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b710969d-1bbd-44c0-a4b9-26c87f876894 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 22

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raw_fallback, observed 2026-07-06T14:12:34.378882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 85cdc05f-c8cf-4517-9550-f15f5414aa85 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 23

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raw_fallback, observed 2026-07-06T14:12:34.383225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 5a41b289-d21d-41db-a95c-f9c48edcd0b9 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 24

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raw_fallback, observed 2026-07-06T14:12:34.423287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:92db555209b4be04f4a5aab4fff033ccf8dfc57820c80a352aee0ea8ab2d4037

Observation 63313123-132f-49fa-988e-7ac15b709248 · outbound

This paper cites Haukkanen, Formal power series in several variables, Notes on Number Theory and Discrete Math 25 (4) (2019) 44–57.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Haukkanen, Formal power series in several variables, Notes on Number Theory and Discrete Math 25 (4) (2019) 44–57

Reference 25

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:5c01f36a3ff883782289e4b33867853796e41d6f0508fc8764d1814572031074

Observation ddcab650-d11d-46a2-8fe5-49f57862d9c0 · outbound

This paper cites Sambale, An invitation to formal power series, Jahresbericht der Deutschen Mathematiker-Vereinigung 125 (1) (2023) 3–69.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Sambale, An invitation to formal power series, Jahresbericht der Deutschen Mathematiker-Vereinigung 125 (1) (2023) 3–69

Reference 26

Resolution
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raw_fallback, observed 2026-07-06T14:12:34.365647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:9912b681e7890b575a4705ee61de35f54c0bfd8381b33a63e13bdba900b48da1

Observation 5cd98baa-1915-47b2-9cd8-ef22a60be32c · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 27

Resolution
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raw_fallback, observed 2026-07-06T14:12:34.372200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:f960a9d4fcddd3d642a86146bd822fea8354b55f45b755063b8aa6299c07c257

Observation 4530123e-6562-41d4-b61e-bc79ff0042f7 · outbound

This paper cites Limnios, G.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Limnios, G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.408616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation ad183286-9408-4bd8-b16c-cb18f52f872a · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 29

Resolution
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raw_fallback, observed 2026-07-06T14:12:34.414751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:c0dd5da21670f7190739afcb7f80aa5501970bd4a270cce25575b71f4d3ba470

Observation 1e1de577-1f72-4635-b284-d82191c5557e · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 30

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raw_fallback, observed 2026-07-06T14:12:34.406812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:f894fcf11ce5b3a75f9f89a0fde8e2d49931c6821b0053d63415461692d1db6d

Observation 58cd13b8-78cb-4c82-8ece-39d5d66d70ac · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 31

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raw_fallback, observed 2026-07-06T14:12:34.387035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:dd481fd5997b9ca594bf132c09738d066b0f08da54b381205d6a7a81d02af470

Observation 81b614f3-7a6a-406d-bea0-4ea5b5ed1a32 · outbound

This paper cites Van Loan, Computational frameworks for the fast Fourier transform, SIAM, 1992.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Van Loan, Computational frameworks for the fast Fourier transform, SIAM, 1992

Reference 32

Resolution
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raw_fallback, observed 2026-07-06T14:12:34.379280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:7adbdd9639331db53954954d0031805754fa6d175da347cd6b851e0ed513b841

Observation 27e4e0e2-ec66-4972-84fe-6105116eb00b · outbound

This paper cites Chakraborty, D.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Chakraborty, D

Reference 33

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raw_fallback, observed 2026-07-06T14:12:34.386686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:09ec38a45069c596eece3376a88505e31963fb876c92ab30503a319889551506

Observation 4bf411d3-b9d7-42a3-af92-4302cad39e41 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.391532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:471f81f37344766620fd1ff7baf59b59763343d74161a37528c3b72d51edcfb6

Observation 40f311de-be99-478a-b298-abd7725ccea0 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.368842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:3ef2929eba1f9f8ec584541173778dbb6a20703a024f2f4a5118ce283e3eb03f

Observation e6ac5611-3e8c-4b79-b1e4-979044660f89 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.381226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:d100672ad4a0287c0fa19d629da06353ada323f81e30eb6a156b6d15933ebc91

Observation 996a02dc-e9df-4dd3-a1d2-9ca329f8b0f7 · outbound

This paper cites , NA +N B −2.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models , NA +N B −2

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.410478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:4398b6257e530b5e7bbb687d0b80ab8161a7c64567d0310ed5d9a4e32957ba81

Observation 1c01eaee-ed91-4805-b73b-df07199934fb · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.385044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:55311dfbf8cfe783c4da75718a2961dc59de30ff8851a50fe94d2408813237bf

Observation 08f673d1-c6ba-4361-a786-92d8240775d0 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 40

Resolution
parse uncertain
raw_fallback, observed 2026-07-06T14:12:34.416694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:42f75000cb15241f1872b8fa364d633957489337f27e005d5dfb93f2faca0e8f

Observation 4272d477-09b4-4d44-89c9-c7e1d0719b5c · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.337122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:17f0a1de01674d795b71e313b3cbc52779354b7143122237895cd1d68b5de322

Observation 2e2a6097-1f9a-4678-9c33-7b3cc631075f · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.413823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:b0d7e4a770be71b4631c5d3286dcb03e8097745da70f845701e1f8b47aa88835

Observation 3d1f0b43-20d4-4b5d-b755-0ec37a4b2ba4 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.350147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:f889502b7c1f3250fb5a0ec37e716fe2eccf1a7b0b4e20ed7bd8601583cb700e

Observation 8c207edd-496b-4784-8d00-b9b24d304aaf · outbound

This paper cites IfA(0)is singular, the sequence is not convolu- tionally invertible.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models IfA(0)is singular, the sequence is not convolu- tionally invertible

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.394716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:d81d294e3a75ae7c3db38021ef06bfdffc086b3ba284c1c313da2bbf59b9257a

Observation dbde5926-36a2-4799-8c23-89c3022a3c90 · outbound

This paper cites an unresolved cited work.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.400846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:f7521e5e5a40b2619d4a1c391d173339db50ed8534c8c9c663c55749e1b74d74

Observation f339e5af-a13b-4338-9399-383fb3d0726e · outbound

This paper cites Its coefficients give the con- volutional inverse ofAup to orderM−1.

Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models Its coefficients give the con- volutional inverse ofAup to orderM−1

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.411478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:19497cf5d12238a35f13a1ea806985a6ec5a55558a9143b230ad3a65dc7bd80c

Pith citing papers

Observation 31b62eca-1219-45c2-8d71-c3119f2f1582 · inbound

Multi-time Markov renewal chains and stratified renewal theorems cites this paper.

Multi-time Markov renewal chains and stratified renewal theorems Algebraic and FFT-Based Methods for Discrete-Time Matrix Convolutions with Applications to Semi-Markov Models

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-07-09T16:16:20.069809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-09T16:09:53.719855Z digest=sha256:56f4d0ff14ccf4a54db7ef90a5ede6639d9d63da2df0ee7698ea5a9f9b5893ae