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Paper Citation Record · LEDGER

Generalised tree modules: Hom-sets and indecomposability

As of 19 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2504.18996.

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

pith.paper-citation-record.v1
2504.18996 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:12:53.566569Z

measured 14 of 14 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 2026-08-05T22:11:11.492200Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T22:11:11.583038Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54aadd54-6e80-464c-9dfb-dd6d3641f385 · outbound

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

Generalised tree modules: Hom-sets and indecomposability Elements of the Representation Theory of Associative Algebras: Volume 1: Techniques of Representation Theory

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.491184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.491184Z digest=sha256:5f4ac5383df3981098d15726ee0443972929c6db9319aa821cfbcf0d322532d1

Observation b2d09d2c-b0ae-4759-b0b1-2abd838a3243 · outbound

This paper cites Covering spaces in representation-theory.

Generalised tree modules: Hom-sets and indecomposability Covering spaces in representation-theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.802799Z

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=2026-08-16T10:12:53.496443Z digest=sha256:719399b8afd1e9c746bda27195c83f91d9209edd6c12482d9bebf7326c0d3470

Observation 74a2f799-9662-47b5-b1e7-3bc9d0921797 · outbound

This paper cites Crawley-Boevey.

Generalised tree modules: Hom-sets and indecomposability Crawley-Boevey

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.502189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.502189Z digest=sha256:98538e27fb3982267fa9f8f2d1091f5e63ea0bbd589f093ba71a1b32f0e0e47d

Observation ca17f56c-1843-42c8-beda-e784bf94c6e3 · outbound

This paper cites Unzerlegbare D arstellungen.

Generalised tree modules: Hom-sets and indecomposability Unzerlegbare D arstellungen

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.507260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.507260Z digest=sha256:16c0bcd8cdbf0c0bb984034f43f2a75445523ca71b7d2faf93d40c19f93f7e69

Observation ee3ee80f-f38e-4831-ad29-040fc44718fd · outbound

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

Generalised tree modules: Hom-sets and indecomposability The universal cover of a representation-finite algebra

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.512704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.512704Z digest=sha256:83ec25e765e075cc19a273b05549100c81bb8f4661328d9d3075b52d487c24da

Observation 87bbf388-95c4-4124-9eaa-a1e3930e5400 · outbound

This paper cites Enumeration of mixed graphs.

Generalised tree modules: Hom-sets and indecomposability Enumeration of mixed graphs

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.740160Z

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=2026-08-16T10:12:53.518681Z digest=sha256:93dcba26a156c8dce29228fb49af4bf7c8661a086b9f605508ac8e98055df144

Observation 9f8567a2-ac1b-498a-af6a-cc8c7efdff84 · outbound

This paper cites Rank functions on rooted tree quivers.

Generalised tree modules: Hom-sets and indecomposability Rank functions on rooted tree quivers

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.721147Z

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=2026-08-16T10:12:53.525714Z digest=sha256:99f3896a1d0b070cf5e5b54eb36cc31dc5277bc0cd67fecb320c3aed3eabeb72

Observation 7dc8bf42-6dd1-43ba-ace1-eb538ffa2827 · outbound

This paper cites Reduced representations of rooted trees.

Generalised tree modules: Hom-sets and indecomposability Reduced representations of rooted trees

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.531199Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.531199Z digest=sha256:61ba74a15dc3bc28c0326f9f47658600b54de6f2992c9b5d19fbd8bc6e122e2a

Observation 213e54ba-ba89-4fb3-aa2c-913a281efb2f · outbound

This paper cites Combinatorics on words , volume 17.

Generalised tree modules: Hom-sets and indecomposability Combinatorics on words , volume 17

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.692660Z

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=2026-08-16T10:12:53.536197Z digest=sha256:1935c79bfaaa9382a8a3197f42b18f3f7426ac599899b6ce7300605436895f84

Observation 096ca0a0-3b96-49c5-ab3a-30762655acc8 · outbound

This paper cites Exceptional modules are tree modules.

Generalised tree modules: Hom-sets and indecomposability Exceptional modules are tree modules

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T10:12:53.546917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-16T10:12:53.546917Z digest=sha256:c5e06ef4e8af838a1bc2874ab3c44725aa31f981ff087a59fec56c2694014a60

Observation c47f8579-cea6-433c-afd4-e7deb51063cd · outbound

This paper cites Tame algebras and integral quadratic forms , volume 1099.

Generalised tree modules: Hom-sets and indecomposability Tame algebras and integral quadratic forms , volume 1099

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.654333Z

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=2026-08-16T10:12:53.552462Z digest=sha256:bf7db9ed3284b1610a0ad6b8fe004c988a98f4f5cb1d45207e1e054355a6dcd9

Observation fa1ae76f-1b57-4fa7-a748-6c6ec3275db1 · outbound

This paper cites Quiver representations.

Generalised tree modules: Hom-sets and indecomposability Quiver representations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T10:12:53.636060Z

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=2026-08-16T10:12:53.559703Z digest=sha256:b99d184a0bbaa8b8068912ab2bde7c1e06a8455ae4dc64edbd2fddaf25bc2d1d

Observation eb6abbbf-368a-489e-a9fa-8b7d32a1bd2b · outbound

This paper cites Characterisation of band bricks over certain string algebras and a variant of perfectly clustering words.

Generalised tree modules: Hom-sets and indecomposability Characterisation of band bricks over certain string algebras and a variant of perfectly clustering words

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-16T10:12:53.615609Z

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=2026-08-16T10:12:53.566569Z digest=sha256:9b43d82c2b42a61da9980899655cc4119c327a05600fd06a5c347a80b24efe25

Pith citing papers

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

Rooted tree modules cites this paper.

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