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Paper Citation Record · LEDGER

Rooted tree modules

As of 21 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 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.426662Z digest=sha256:c3ddc22f4bbafaff99a02c5aebe0b542856b839b19e9593f110455766e78ef6d

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=sha256:95ca060116a1a1aea542a16bd234e1694481be53d7b7e1b09e9bd820821ec074

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.445556Z digest=sha256:c6db8ed2f5765e39fd7a79a6101b0449bf541aa6fefda4311d544205d70bf005

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.453009Z digest=sha256:0013274f9297d58d779bebf9e3fa16865eed42b29aa7264779539f8e8fbe2f28

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.470571Z digest=sha256:f27cf81a6af508bdaceaab9cd7606746fdcb13a3bbba02eddfbbd3416b333c87

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.480762Z digest=sha256:f957e7645dcd84f8d0aea3236f825b791adbaf1654a446b24a8cd6421a07ad81

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 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-08-05T22:11:11.492200Z digest=sha256:19e6ff7c0b00fbf32c8e206e5e7304b7d6cf4445c5222a60db51159f6641e25e

Pith citing papers

No inbound Pith citation observations are available.