Paper Citation Record · LEDGER

The brick chain complexity of an artin algebra

As of 18 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2606.27879.

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

pith.paper-citation-record.v1
2606.27879 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T02:25:53.320788Z

measured 8 of 8 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 2026-06-29T02:25:53.320788Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-01T18:15:57.998146Z

Reference resolution

7 of 7 outbound references displayed

verified exact1
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4504ab11-2779-45ff-96c1-40dbcb0df6fc · outbound

This paper cites The brick chain complexity of an artin algebra.

The brick chain complexity of an artin algebra The brick chain complexity of an artin algebra

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-07-01T18:15:57.999347Z

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.

Observation fd429eb0-fde1-4ab0-b501-d72881b39b57 · outbound

This paper cites foundation bricks.

The brick chain complexity of an artin algebra foundation bricks

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T02:25:53.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7143250e-1366-4047-9e17-c78f9f33e984 · outbound

This paper cites A brickBis said to be afoundation brickfor the moduleMprovided there is a brick chain ﬁltration ofMof type (B 1,B 2,...,B m ) withB 1 =B.

The brick chain complexity of an artin algebra A brickBis said to be afoundation brickfor the moduleMprovided there is a brick chain ﬁltration ofMof type (B 1,B 2,...,B m ) withB 1 =B

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T02:25:53.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59adf550-8188-4740-aad6-21f1a1070127 · outbound

This paper cites 4.1.For anyn≥3, there is a directed gentle algebras withnsimple modules, with brick chain complexity equal ton.

The brick chain complexity of an artin algebra 4.1.For anyn≥3, there is a directed gentle algebras withnsimple modules, with brick chain complexity equal ton

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T02:25:53.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e1f62d8-5a59-4376-bbd6-de60977a4b77 · outbound

This paper cites As a preparation for section 6, we include some observations about Ktronecker mod- ules; these are the modules over the Kronecker algebra.

The brick chain complexity of an artin algebra As a preparation for section 6, we include some observations about Ktronecker mod- ules; these are the modules over the Kronecker algebra

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T02:25:53.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fe1aefb-25cc-459a-848a-e6e414af2175 · outbound

This paper cites an unresolved cited work.

The brick chain complexity of an artin algebra Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T02:25:53.320788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5dafb8f-854a-497b-9009-06c7bf2b837d · outbound

This paper cites Brick chain filtrations.

The brick chain complexity of an artin algebra Brick chain filtrations

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-07-01T18:15:58.004941Z

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.

Pith citing papers

Observation 4504ab11-2779-45ff-96c1-40dbcb0df6fc · inbound