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Paper Citation Record · LEDGER

Rooted tree modules

As of 18 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2508.07435.

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

pith.paper-citation-record.v1
2508.07435 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T22:11:11.492200Z

measured 7 of 7 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 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

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd2e7522-da81-49d4-97a1-ed8645e5f5c8 · outbound

This paper cites Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory.

Rooted tree modules Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:11:11.782776Z

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=arxiv_source observed=2026-08-05T22:11:11.426662Z digest=sha256:2db5df19a45ebb4dbe223913dc432132b5475a5bae02b5a9ce0fc39110b400e8

Observation ac566ef9-ea06-44f2-b04e-8045a8458829 · outbound

This paper cites Decomposing zero-dimensional persistent homology over rooted tree quivers.

Rooted tree modules Decomposing zero-dimensional persistent homology over rooted tree quivers

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T22:11:11.433102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:11:11.433102Z digest=sha256:072ce8583ac1154a84a196ef913711032c0c5489ea81ffd07ce1403a1970fdc5

Observation f242f951-8bb3-4b43-a75b-7aed2c1e3084 · outbound

This paper cites Crawley-Boevey.

Rooted tree modules Crawley-Boevey

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:11:11.751635Z

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=arxiv_source observed=2026-08-05T22:11:11.445556Z digest=sha256:57452dff87cd42e4c2c04dfe5ebafae5523ae9e44b835c163cac62e6700da48a

Observation 443a8f15-6236-491c-9947-9cc1c7603a91 · outbound

This paper cites The universal cover of a representation-finite algebra.

Rooted tree modules The universal cover of a representation-finite algebra

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:11:11.724491Z

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=arxiv_source observed=2026-08-05T22:11:11.453009Z digest=sha256:39390097dee0d43d3f1f9185a53d4f7247b7aa783365a2df54ea724c55eae3d3

Observation d883f868-8d25-4497-b11b-70ae601e7bbb · outbound

This paper cites Reduced representations of rooted trees.

Rooted tree modules Reduced representations of rooted trees

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:11:11.695223Z

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=arxiv_source observed=2026-08-05T22:11:11.470571Z digest=sha256:a358cd10ff9087c5731cbf0bb73c50f1bf652a9279f13f78af6f9193e5ca9c7f

Observation 6ba332c4-e352-4edc-989c-c28dda50bd29 · outbound

This paper cites Exceptional modules are tree modules.

Rooted tree modules Exceptional modules are tree modules

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T22:11:11.668410Z

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=arxiv_source observed=2026-08-05T22:11:11.480762Z digest=sha256:5e173dcf13c2d6d72ebf05c35d387372a94d82c1561940c7cbb055b4361f5530

Observation dbe0b9dd-926b-452a-847b-69627b9dbe2c · outbound

This paper cites Generalised tree modules: Hom-sets and indecomposability.

Rooted tree modules Generalised tree modules: Hom-sets and indecomposability

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-05T22:11:11.600004Z

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=arxiv_source observed=2026-08-05T22:11:11.492200Z digest=sha256:eb767cd8bad062a104db64d7163d68fea95f2287c072e80eb34a369551cac493

Pith citing papers

No inbound Pith citation observations are available.