Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T00:18:41.651150Z
Paper Citation Record · LEDGER
Positive Bidiagonal Factorizations for Banded Markov Processes
As of 15 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.00788.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
39 of 39 outbound references displayed
- verified exact15
- verified fuzzy9
- unresolved8
- parse uncertain0
- malformed identifier4
- metadata mismatch3
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation af31ee7f-f3d1-4ef0-9b4f-487ce0466142 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:44.948215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4d6fb90c-b19c-46a1-9157-613b6d726858 · outbound
This paper cites Disquisitiones analyticae de novo problemate coniecturali.
Positive Bidiagonal Factorizations for Banded Markov Processes Disquisitiones analyticae de novo problemate coniecturali
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:49.992800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4ce91c70-38af-4357-8240-40d5906bd738 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:44.699164Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5c227c89-5333-412d-ab10-471ca397bc85 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:44.485330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1a805ee4-506d-4634-8b2b-ab279dbf3886 · outbound
This paper cites Piñeiro mixed orthogonal polynomials and bidiagonal factorization.
Positive Bidiagonal Factorizations for Banded Markov Processes Piñeiro mixed orthogonal polynomials and bidiagonal factorization
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:49.810693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 82e2b0c5-7548-462c-9d58-4c94755cca55 · outbound
This paper cites Banded totally positive matrices and normality for mixed multiple orthogonal polynomials.
Positive Bidiagonal Factorizations for Banded Markov Processes Banded totally positive matrices and normality for mixed multiple orthogonal polynomials
Reference 6
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-05T00:18:47.237243Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 991b79a4-6d25-44d2-aa24-849d9c24fcdf · outbound
This paper cites Bidiagonal factorization of banded recursion matrices for mixed-type multiple orthogonal polynomials.Linear Algebra and its Applications(2026).
Positive Bidiagonal Factorizations for Banded Markov Processes Bidiagonal factorization of banded recursion matrices for mixed-type multiple orthogonal polynomials.Linear Algebra and its Applications(2026)
Reference 7
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T00:18:47.038409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation ecbc4e3c-d78f-4df0-a7fb-2163382b66c2 · outbound
This paper cites Bidiagonal factorization of tetradiagonal matrices and Darboux transformations.Anal- ysis and Mathematical Physics13(2023) 42.doi:10.1007/s13324- 023- 00801-1.
Positive Bidiagonal Factorizations for Banded Markov Processes Bidiagonal factorization of tetradiagonal matrices and Darboux transformations.Anal- ysis and Mathematical Physics13(2023) 42.doi:10.1007/s13324- 023- 00801-1
Reference 8
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-05T00:18:37.833536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85ff1391-f004-4398-b291-6077fd4cdab1 · outbound
This paper cites Jacobi-like and Laguerre-like mixed-type multiple orthogonal polynomials.
Positive Bidiagonal Factorizations for Banded Markov Processes Jacobi-like and Laguerre-like mixed-type multiple orthogonal polynomials
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:49.595505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9f0b7a86-0db6-437f-8d7b-562362e4766a · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 10
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-05T00:18:46.645685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0e367f15-e917-4404-a556-6d336e3d6b07 · outbound
This paper cites arXiv:2601.10890 [math.PR].
Positive Bidiagonal Factorizations for Banded Markov Processes arXiv:2601.10890 [math.PR]
Reference 11
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T00:18:46.383111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2a04425c-716c-4845-b443-79b2cbd7c66a · outbound
This paper cites arXiv:2601.12453 [math.CA].
Positive Bidiagonal Factorizations for Banded Markov Processes arXiv:2601.12453 [math.CA]
Reference 12
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T00:18:46.030341Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7628b86e-65cd-4e83-a8a9-edd5572f69d0 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T00:18:49.328491Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9a2c5c12-e227-4352-9edd-a18f67a6863c · outbound
This paper cites Studden, and Marcin J.
Positive Bidiagonal Factorizations for Banded Markov Processes Studden, and Marcin J
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:44.193531Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 09e4e6d2-642f-4259-847d-da67b00c905f · outbound
This paper cites Doob.Classical Potential Theory and Its Probabilistic Counter- part.
Positive Bidiagonal Factorizations for Banded Markov Processes Doob.Classical Potential Theory and Its Probabilistic Counter- part
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:38.674100Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 371e20ac-4b98-4ed5-b24d-f3159ac89695 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:38.831212Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8355ef8f-0d74-4396-b88d-b05322666387 · outbound
This paper cites Über zwei bekannte Einwände gegen das Boltzmannsche H-Theorem.Physikalische Zeitschrift8 (1907) 311–314.
Positive Bidiagonal Factorizations for Banded Markov Processes Über zwei bekannte Einwände gegen das Boltzmannsche H-Theorem.Physikalische Zeitschrift8 (1907) 311–314
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:49.103581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 1b86e798-4d02-4492-a52c-bc414217b310 · outbound
This paper cites Fallat and Charles R.
Positive Bidiagonal Factorizations for Banded Markov Processes Fallat and Charles R
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:43.837319Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9d83cf4b-baac-404a-9d17-5385841bb480 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T00:18:48.881527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 43a94d47-e576-4789-b3f6-e2fe1413c5c3 · outbound
This paper cites de la Iglesia.
Positive Bidiagonal Factorizations for Banded Markov Processes de la Iglesia
Reference 20
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-05T00:18:45.741604Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation fd450adb-e16c-42fc-a253-7a0b553ea0f0 · outbound
This paper cites Gantmacher and Mark G.
Positive Bidiagonal Factorizations for Banded Markov Processes Gantmacher and Mark G
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:39.326664Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4f94124-7ed8-4df2-ba47-8b0ed9d7d2bf · outbound
This paper cites Total positivity, QR factorization, and Neville elimination.SIAM Journal on Matrix Analysis and Applications 14(1993) 1132–1140.doi:10.1137/0614077.
Positive Bidiagonal Factorizations for Banded Markov Processes Total positivity, QR factorization, and Neville elimination.SIAM Journal on Matrix Analysis and Applications 14(1993) 1132–1140.doi:10.1137/0614077
Reference 22
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:43.514184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 80209c45-4333-4894-a026-8a7eeeef902c · outbound
This paper cites Alberto Grünbaum and Manuel D.
Positive Bidiagonal Factorizations for Banded Markov Processes Alberto Grünbaum and Manuel D
Reference 23
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:43.232323Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9a93a0d5-3824-436f-9490-82d595ef812e · outbound
This paper cites Alberto Grünbaum and Manuel D.
Positive Bidiagonal Factorizations for Banded Markov Processes Alberto Grünbaum and Manuel D
Reference 24
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:43.002086Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 732d9d85-6df6-4efb-9ada-e68df10ee3c2 · outbound
This paper cites Alberto Grünbaum and Manuel D.
Positive Bidiagonal Factorizations for Banded Markov Processes Alberto Grünbaum and Manuel D
Reference 25
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T00:18:48.670311Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 789f6993-0b0f-47cf-be8f-bc8ec3b48701 · outbound
This paper cites de la Iglesia.
Positive Bidiagonal Factorizations for Banded Markov Processes de la Iglesia
Reference 26
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:42.707457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c8e980bf-b7ee-49ca-b87a-a8a988c3ff53 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:40.161000Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 79bfd70c-cad4-46e9-b313-44012d744fba · outbound
This paper cites Stanford: Stanford University Press, 1968.
Positive Bidiagonal Factorizations for Banded Markov Processes Stanford: Stanford University Press, 1968
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:48.451710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0fad79c7-674a-45e4-b809-5e0792cc36ab · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 29
- Resolution
- verified exact
- raw_fallback, observed 2026-08-05T00:18:45.351123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 0d1eafd5-8f2c-4504-a485-9647b19b7952 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 30
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-05T00:18:40.402372Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5a5af27-ee10-4ca9-bc9c-581fe22874da · outbound
This paper cites Prokhorov.
Positive Bidiagonal Factorizations for Banded Markov Processes Prokhorov
Reference 31
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:42.370631Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f94be329-4d8b-46de-a136-78ff49ff69ce · outbound
This paper cites ASA-SIAM Series on Statistics and Applied Probability.
Positive Bidiagonal Factorizations for Banded Markov Processes ASA-SIAM Series on Statistics and Applied Probability
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:40.660885Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1435c33-93b1-46c2-b58b-711320e8029f · outbound
This paper cites Matrix continued fractions from bidiagonal factorizations.
Positive Bidiagonal Factorizations for Banded Markov Processes Matrix continued fractions from bidiagonal factorizations
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:48.277214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 12df7978-99b5-4cdc-bce6-7b625c26201b · outbound
This paper cites What is a multiple orthogonal polynomial?Notices of the AMS63(2016) 1029–1031.doi:10.
Positive Bidiagonal Factorizations for Banded Markov Processes What is a multiple orthogonal polynomial?Notices of the AMS63(2016) 1029–1031.doi:10
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:48.065025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 03067e38-bad1-4e06-bf62-0c3b02295bb0 · outbound
This paper cites Nikishin and Vladimir N.
Positive Bidiagonal Factorizations for Banded Markov Processes Nikishin and Vladimir N
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T00:18:41.110623Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08a3c642-fa0c-4df8-b4d7-b14cd7fe5918 · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 36
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-05T00:18:47.822291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 39bd0818-6833-46ce-a5ca-9820477a89e1 · outbound
This paper cites Cambridge: Cam- bridge University Press, 2008.
Positive Bidiagonal Factorizations for Banded Markov Processes Cambridge: Cam- bridge University Press, 2008
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:47.639385Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 701d5b5c-f9c4-494c-a712-84554ed646bb · outbound
This paper cites Karlsson.Multiple Gaussian Hyperge- ometric Series.
Positive Bidiagonal Factorizations for Banded Markov Processes Karlsson.Multiple Gaussian Hyperge- ometric Series
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T00:18:47.454925Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 6f042354-b239-4985-90ca-2b08e63310ee · outbound
This paper cites an unresolved cited work.
Positive Bidiagonal Factorizations for Banded Markov Processes Unresolved cited work
Reference 39
- Resolution
- verified exact
- doi, observed 2026-08-05T00:18:42.032849Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Pith citing papers
No inbound Pith citation observations are available.