Pith. sign in

Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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

  • verified exact0
  • verified fuzzy21
  • unresolved23
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:db3420bdaab7268e5da4287fa927d2c8f65009b9c19f21af8efded7666bd33d4

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

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.390693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:c3bb00a662f786d3c595be3f907b912da35efba57128ec872ab6bcf4cbe8a799

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

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.353002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:1c368b147661d89bf790ed5656760f297bf3120175ec44672046abc20e7bbd78

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

Resolution
unresolved
raw_fallback, observed 2026-07-06T14:12:34.382785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:af951b61e0269a5c249f05e4c3dc0399e9593da5ce9f4b558b9e24b9a255105e

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
raw_fallback, observed 2026-07-06T14:12:34.427201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:61f5106789f359efd2a1c92e4bb2430bcb9c0dfa99bdee8bbda902adbe08a0e9

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
raw_fallback, observed 2026-07-06T14:12:34.402555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:2b5b990492f5478c3331813c3258e443f6726ab0e5b9d31a8c42bc2ebac02a49

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:28a68cc4e2613da0e2ed52b50442b87818db20f222cb21abdd688790fb30df28

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
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.412194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:021d77eaa2bf2ab3109bb9f38698998538b077c65fecd9eb97e113d143339498

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
raw_fallback, observed 2026-07-06T14:12:34.407753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:6ddaa190def58fee09ceecea57802f0b955b274c298d7947d6085f00fc1c7e64

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
raw_fallback, observed 2026-07-06T14:12:34.405024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:5254eb8e17f5614b6c312eb92e9507bf498bb792632aac5c7e0801f9b183a382

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
raw_fallback, observed 2026-07-06T14:12:34.425104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:2b86ac03063cf9de28d21ee06646460c1a54d814133d00c1c648e9b40f5b45ea

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
raw_fallback, observed 2026-07-06T14:12:34.393433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:a083ddfe6eff9be31a250320e4f08dae08df838146d1a395d84282700bd31c77

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:091a054b50d84374b936268cb835cc88890a46bfbc32294842aa7cc28214dba7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:fdaed4be3687d945c76b8022336297a22fcdd131645787ba4ff6f5aa2ce64173

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
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.415759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:fd123ef687d8f8dcc086ae652c7ce8e6188eeee06ce6136b4e30d562e83e36c2

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
raw_fallback, observed 2026-07-06T14:12:34.370992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:7ff46736dd37f469b9170bd2c3fc32af7498e2e192ce88e111e145617125a080

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
raw_fallback, observed 2026-07-06T14:12:34.419588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:816c7c2233f9ae3109ee327f7b0056221ca24c99a6ab73796b33327bc03f89f3

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
unresolved
raw_fallback, observed 2026-07-06T14:12:34.342972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:c5d209346cac3141da47477a56f87991e9fc65a671b17af60b24edc64eb70891

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
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.392735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:6d946536ff7e070c93bf9d5f8053ddd970bcc30b7916cc293e3e27627e179da1

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
verified fuzzy
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:b71287e8c96cb23fdf825b815db320ee6f6322f2b3e464e5bda17a6ab84c0e01

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
verified fuzzy
raw_fallback, observed 2026-07-06T14:12:34.384844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:6b6fb5b2ea30dfbcd540e0d8f076e673f7a1fd881e66b4bb1bfe4f5401d8ad19

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:7aac68b4e17e65a954046a86b64e9ea2edd1512bd0e7fb4ce4bc01d665118e0d

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:fbd260c65596bf21dba8a59e07dcfd55b22a80c70456253e5415ed5c44df657d

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:3cb49bebe35f186ab2ce6205bf28b63be6801e2ce14361211d0bc0e4ef825db9

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
raw_fallback, observed 2026-07-06T14:12:34.342831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:5100ec264655dff8a8a37dca82bb55b0ce1224e1b5b9379af422f8ffbedec7cd

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
verified fuzzy
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:18ccebc1102b3267560d571e2b8e10659f810b5c05ffdec62e6fec77f306f47b

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
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:75ff9ad77ef44712fb48b60429827c63e53c3dc8ba4482301bb90577ea3018d1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:573f5612412c0f38966445051c060a03f6e6d6d5873adc666379c3275b2b847c

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
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:5ee5d0b589ce18edc4fd7c3fd52fe892a56bd97cd6c9f7704b6c905e0636d95c

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:5c7500074c1f43683a0350a5e6b0872949c74232b92f6036f47b68a52a096e36

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

Resolution
unresolved
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:8c2118ddde7d1f3236c2a2a25b76ba09377f291353d82083d7bbc492526e6a53

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
verified fuzzy
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:a57ad12bf90a9f28d506cd6f484521bc9c1bb62624e3ce42ad941c691e64e7a2

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

Resolution
verified fuzzy
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:336e40c293f5e3b4a9f110c55d768bfeee0993493fe936db2c2b861ee8dc6497

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:34353e556fd999df4b74c58f12fc3fe6e18fa699f558990e0045edc001c2d45b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:e3c79a8d5de13439913bf3d993e55697a296d8d5942c9ab155ec966008806681

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:a478527cab03e50cecf9dcccfaa5786b0e17820ddd72a5ebc027e4408fdeab0c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:2e50889c3a04c9e027ef9ae10704eb60ae9252d375fdcd0006803af96bc9916b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:6d8b3f07d66810b6a57729a3b56a1eaecfae61bc0056f4bfef315c2af73a0c31

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:c8ced16976eb2d63af192a931f8ffd08b212435c7889173a50a8f15de8189925

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:4dff62b4ad6fa784f07ea8ca18f5f234943715da3d5fc406106ca8db2daf4527

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:6b040e8c911fe4f2bbbc2931c4083beb6b3117851fcd493eaf49fafcc9572c69

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:2cca39804ca6e5a2c08bc6a38e345ed467dc1313b1dcc38dfa7e7dd788b6b8c9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:787e518541ddb2d6d286b133482ab38bfdc9a77d3224745dbabc5f042bfeb22a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:cec76d1be6e7218992fbecd6edbf73e1892d4b36b6fc34722cb5f167e4d4ddf3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-01T07:54:40.536038Z digest=sha256:e0d0d913142b2c6c48a735fe3d5335f2ec79fdedb013c418dcdb382a44928f2a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-09T16:09:53.719855Z digest=sha256:4e696a9dfc6a628da3ca669458ba4f55b91355f2d1ee800147c3981eacf3b768