Paper Citation Record · LEDGER

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$

As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2607.09677.

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

pith.paper-citation-record.v1
2607.09677 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T18:00:13.889163Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

36 of 36 outbound references displayed

verified exact1
verified fuzzy0
unresolved35
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7554769-5591-4d3d-9553-eaa8109a9221 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e534638b-3631-4bb4-82bb-69b72cf45b7c · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d327011-b334-4431-b2b2-95336cf8982f · outbound

This paper cites Springer, New York (1981).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Springer, New York (1981)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3594693-f4c2-426c-8df0-ed80de2dcdf9 · outbound

This paper cites Springer Monogr.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Springer Monogr

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e7ca27c-16c1-4497-950c-150375fb9535 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87ff692d-5e9d-41b3-8931-8459ed803918 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5cf14c8-aead-4b1f-9737-265cb737fe8c · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4dd2e8a-7685-42e4-a359-c97a294c00ba · outbound

This paper cites Algebra Universalis60(1), 19–35 (2009).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Algebra Universalis60(1), 19–35 (2009)

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4884c6f1-62a1-4d2b-89fc-f750e8670841 · outbound

This paper cites Counting finite semirings.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Counting finite semirings

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6927db79-3afc-4e61-97ba-afd53cc33b8d · outbound

This paper cites The finite basis problem for additively idempotent semirings that relate to S_7.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ The finite basis problem for additively idempotent semirings that relate to S_7

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f48f9f85-f034-4d71-a2e3-15f9952540cf · outbound

This paper cites Manuscript in preparation.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Manuscript in preparation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3b7d22d-209c-4c21-9565-28d61d0368af · outbound

This paper cites Kluwer Academic Publishers, Dordrecht-Boston-London (2001).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Kluwer Academic Publishers, Dordrecht-Boston-London (2001)

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2d88290-1f46-4a75-87fa-edfb556947ec · outbound

This paper cites Longman Scientific and Technical, Harlow (1992).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Longman Scientific and Technical, Harlow (1992)

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25a4b1e9-d6a1-43a0-ab7f-770bfc979a33 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e55cefaf-c62a-407c-a459-6be2ec4531a0 · outbound

This paper cites Semigroup Forum 106, 403–420 (2023).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum 106, 403–420 (2023)

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11e69df8-8a5f-4b22-a0ed-e2c141addaba · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-07-14T18:00:39.972428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 49e83b8f-03e9-4f0d-8dec-142e5962ecbd · outbound

This paper cites In preparation.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ In preparation

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b3ab32b-b2aa-46b7-8714-e6789700fcfb · outbound

This paper cites Algebra Univers.79, 30 (2018).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Algebra Univers.79, 30 (2018)

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52b1298c-ef53-4eb6-bae5-c3e71024e815 · outbound

This paper cites Linear Algebra Appl.387, 143– 165 (2004).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Linear Algebra Appl.387, 143– 165 (2004)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 804030d2-74cd-4c99-8694-fab5e1c75051 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a8d60fc-2faf-42c4-9452-0ab8f0b74596 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dce7f936-8121-4cd3-9881-9cb22e56739e · outbound

This paper cites Semigroup Forum, accepted.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum, accepted

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1429ae7-827b-4f2a-9d25-226514fd1daf · outbound

This paper cites Semigroup Forum71(1), 27–48 (2005).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum71(1), 27–48 (2005)

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69fc09a2-ccc1-49e4-969b-ab6be58cf90a · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d09269b-fdce-454e-89e4-69c0ba9760d3 · outbound

This paper cites an unresolved cited work.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92db61f1-d349-409b-b9bc-63f88b0df7fd · outbound

This paper cites Semigroup Forum110(2), 422–457 (2025).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum110(2), 422–457 (2025)

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf925875-e986-476a-9c05-ba4c435822a6 · outbound

This paper cites Semigroup Forum112(2), 541–573 (2026).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum112(2), 541–573 (2026)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b37f0f3b-4677-43df-b7d5-0b71d161a924 · outbound

This paper cites In preparation.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ In preparation

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa85bb14-5312-43b9-bea1-629827e11fd7 · outbound

This paper cites Tongji Daxue Xuebao Ziran Kexue Ban24(1), 50–55 (1996) (In chinese) MR1412569.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Tongji Daxue Xuebao Ziran Kexue Ban24(1), 50–55 (1996) (In chinese) MR1412569

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 429c7f2e-d69b-4354-a452-d36fcf5d2dd1 · outbound

This paper cites Semigroup Forum91(1), 171–184 (2015).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum91(1), 171–184 (2015)

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24c68858-a00c-4170-b917-7814e23424a3 · outbound

This paper cites Preprint arXiv:2412.16113 (2024).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Preprint arXiv:2412.16113 (2024)

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9dece003-a1a6-473b-bc71-012eb9783cac · outbound

This paper cites Algebra Universalis86(4), 33 (2025).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Algebra Universalis86(4), 33 (2025)

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dfb4c476-4a62-4e2e-98ac-90a8e72070f5 · outbound

This paper cites Preprint arXiv:2603.00015 (2026).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Preprint arXiv:2603.00015 (2026)

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fbe3ca4-b887-499e-834e-263fdd5ce5c2 · outbound

This paper cites A nonfinitely based additively idempotent semiring of order four.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ A nonfinitely based additively idempotent semiring of order four

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 955f5e2c-c7c8-4e97-a09a-20a9e094ece1 · outbound

This paper cites Semigroup Forum108, 479–487 (2024).

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Semigroup Forum108, 479–487 (2024)

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3acc2a2c-f09c-431e-90db-044e9c7828ae · outbound

This paper cites Ural Math.

The finite basis problem for matrix semirings $\mathbf{M}_n(S_7)$ Ural Math

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T18:00:13.889163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.