Paper Citation Record · LEDGER

Structured matrix factorization length

As of 6 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2606.07407.

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

pith.paper-citation-record.v1
2606.07407 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:58:52.383269Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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

22 of 22 outbound references displayed

verified exact14
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71efa569-9cf9-47df-8e27-2d2e8fc4fb6f · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 1

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.981420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 7fe97275-e2ac-4a4d-93a9-b975c118d76b · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:58:52.383269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c8321a5-7368-4219-bf43-90ba614f551c · outbound

This paper cites URLhttps://doi.org/10.1137/S0895479891221563.

Structured matrix factorization length URLhttps://doi.org/10.1137/S0895479891221563

Reference 3

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.961727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b982d317-b1ff-4d8b-b3c5-3688fcf91337 · outbound

This paper cites 1991 , PAGES =.

Structured matrix factorization length 1991 , PAGES =

Reference 4

Resolution: metadata mismatch; doi, observed 2026-06-27T21:01:14.979646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 565cd8a4-0340-4fce-b4d2-2a9ce5667d7d · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.973978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 5f1982e8-4042-4ca2-86b5-1ef5e4a1c46f · outbound

This paper cites Undergraduate Texts in Mathematics, p.

Structured matrix factorization length Undergraduate Texts in Mathematics, p

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.969480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e0dc0b2f-713c-4f28-af99-035c07655625 · outbound

This paper cites Draisma, E.

Structured matrix factorization length Draisma, E

Reference 7

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.953582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e0f3c707-98cf-4ff9-ae0e-25d94ad85867 · outbound

This paper cites On the minimum number of Toeplitz factors of a matrix.

Structured matrix factorization length On the minimum number of Toeplitz factors of a matrix

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-02T20:07:21.798083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 78b0e8d9-8fd1-4bef-a5d6-84d11d0a8333 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T20:58:52.383269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9f8f3cd-cd54-4e45-9f76-f4dab2b6b67d · outbound

This paper cites Hartshorne.Algebraic geometry, volume No.

Structured matrix factorization length Hartshorne.Algebraic geometry, volume No

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T20:58:52.383269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8a60f5a-acb3-49cc-86f0-a044f5b66c8a · outbound

This paper cites Kailath, S.

Structured matrix factorization length Kailath, S

Reference 11

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.960012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4392205e-9d89-4d0a-89f4-08f367168b11 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T20:58:52.383269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f67532d5-aaf3-4e1a-8a48-333538f74b36 · outbound

This paper cites G., Bader, B.

Structured matrix factorization length G., Bader, B

Reference 13

Resolution: metadata mismatch; doi, observed 2026-06-27T21:01:14.965761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation afff8eda-7f48-4537-ad0e-039d52150c25 · outbound

This paper cites Schneider and H.

Structured matrix factorization length Schneider and H

Reference 14

Resolution: malformed identifier; doi_truncated, observed 2026-06-27T21:01:14.974141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a18862c0-8cd1-4861-ab75-b3c44a9137f9 · outbound

This paper cites STRUCTURED MATRIX FACTORIZATION LENGTH 33.

Structured matrix factorization length STRUCTURED MATRIX FACTORIZATION LENGTH 33

Reference 15

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.961994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8d27cd10-5d87-41d2-9c39-786186800a53 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.963741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e5464bef-1cf6-4f6a-9e88-68a7e3067a8c · outbound

This paper cites [LVZ06] A.

Structured matrix factorization length [LVZ06] A

Reference 17

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.976124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 0ae9dd5e-c87e-408e-9f91-11fcd6899841 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 18

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.955731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 81bab2d6-0dce-4b90-817a-acb6c84ffd45 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T20:58:52.383269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7143ff60-fb6c-4852-be2d-d0e0341abad2 · outbound

This paper cites 1998 , publisher=.

Structured matrix factorization length 1998 , publisher=

Reference 20

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.971849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 09fd5200-7859-48fb-97d5-b29b842c4d47 · outbound

This paper cites an unresolved cited work.

Structured matrix factorization length Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.977811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f7cad948-785d-4e04-ac0f-a044d6f6765f · outbound

This paper cites Ye and L.-H.

Structured matrix factorization length Ye and L.-H

Reference 22

Resolution: verified exact; doi, observed 2026-06-27T21:01:14.969743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

No inbound Pith citation observations are available.