Pith. sign in

Paper Citation Record · LEDGER

Expander representations of quivers

As of 16 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2411.15609.

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

pith.paper-citation-record.v1
2411.15609 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:23:15.410823Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:43:19.428108Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T04:43:27.284474Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64072b6a-1176-4da7-b707-8e25195a9d15 · outbound

This paper cites Module va rieties and representation type of finite-dimensional algebras.

Expander representations of quivers Module va rieties and representation type of finite-dimensional algebras

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.580496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.362152Z digest=sha256:393bdaf9c275c7037895ed08dc98285c8c07e2c6dc6fb59d3f19ced5322b8a31

Observation 3f3ace38-b9be-4c70-a37b-32c77b86df17 · outbound

This paper cites Subrepresentations of genera l representations of quivers.

Expander representations of quivers Subrepresentations of genera l representations of quivers

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.569654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.366187Z digest=sha256:a195231942adc5ba592cc8a0fa5eccc0398b21467d1cdcdc6f2aa8561a62a96b

Observation 636ffa8a-20a8-4f02-999e-163dee82af12 · outbound

This paper cites an unresolved cited work.

Expander representations of quivers Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:23:15.559436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.369355Z digest=sha256:80c83032e9f115f76388f59b606a6ca5c69839e7291337ebd6e1b983dc50426d

Observation dcc616ba-7d45-4a33-a32e-edb9b17978b4 · outbound

This paper cites Stable represen tations of quivers.

Expander representations of quivers Stable represen tations of quivers

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.549510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.372787Z digest=sha256:bdf8ea3cabedc78066e634dabc4eec8e137b986bf73847e11fd95594009b6116

Observation e2e90bfb-d0ce-4034-aea9-6ace2b0397cc · outbound

This paper cites an unresolved cited work.

Expander representations of quivers Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:23:15.540488Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.376221Z digest=sha256:2e78cbe86bc554d7e40a6445ca205e342addbc671aedd4f7a59ef6595ea84ce8

Observation 36221f41-5e83-4755-96bf-640d00e3b485 · outbound

This paper cites an unresolved cited work.

Expander representations of quivers Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T14:23:15.531147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.379969Z digest=sha256:4b78f251db35063fffdbee8f1a44477187b9b09ad2af7b045b6da654e2f7794a

Observation f5e62498-160a-40e0-8f0e-f1ce83e3e94d · outbound

This paper cites On linear- algebraic notions of expansion, 2023.

Expander representations of quivers On linear- algebraic notions of expansion, 2023

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.521102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.383716Z digest=sha256:370dde908c6518190a545d86e3f780bd372847c4628805fff57c3ec987e5c699

Observation d6530b99-c9bf-4331-b882-b9bdcd54bfad · outbound

This paper cites Expander graphs in pure and applied mathematics.

Expander representations of quivers Expander graphs in pure and applied mathematics

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.510915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.386925Z digest=sha256:4df4e437b2d1a8a56eb9bdd3f3006ed1b8be18a19be76696463c846b7c576c46

Observation 59c8b3f9-df16-477a-a920-ae0439559ee6 · outbound

This paper cites Dimension expande rs.

Expander representations of quivers Dimension expande rs

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.501882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.390561Z digest=sha256:eefbd768500f833a95b13294c73c1c62e9144e4cd61c5bc677d2f0b0ec704ea5

Observation cf9b5abc-c44b-478e-99c7-8461a587b2cd · outbound

This paper cites Dimension expanders via quiver repres entations.

Expander representations of quivers Dimension expanders via quiver repres entations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.492441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.393815Z digest=sha256:00d16934ba79b0328ed61bfaa3a74abe0bdb93abd9dfdbdf34141e3dfdb91878

Observation 56afc338-51c3-4fc2-bbc6-11c977772306 · outbound

This paper cites Tame algebras and integral quadratic forms , volume 1099 of Lecture Notes in Mathematics.

Expander representations of quivers Tame algebras and integral quadratic forms , volume 1099 of Lecture Notes in Mathematics

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.482198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.397168Z digest=sha256:763722d2ff292bd7281447a87987091c238358efb196a555c5df839503a4771d

Observation d05cfded-fc72-4eda-a204-c54f3dfee4f2 · outbound

This paper cites The spectral radius of the Coxete r transformations for a generalized Cartan matrix.

Expander representations of quivers The spectral radius of the Coxete r transformations for a generalized Cartan matrix

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.470634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.400407Z digest=sha256:486deff0289d14a3dabb603399e0dbccd0707c0adb2360dfb9f44ecb336ed771

Observation 8a31156e-4ad0-463e-9dc8-7ac8362ad01b · outbound

This paper cites Stability for an abelian category.

Expander representations of quivers Stability for an abelian category

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.460221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.403879Z digest=sha256:6a9199fc7a44212a9fdd8666befed65540036315a4f69958726fe4bbfb0a2ee1

Observation 8fbc29ec-b43d-4bfa-9971-11c79ff3cf91 · outbound

This paper cites Quiver representations.

Expander representations of quivers Quiver representations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.449995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.407476Z digest=sha256:685b63dc483804173a9d1814bcdf63a8a5c546bfbdd0defca85752afe1e5c401

Observation 86f8d290-3155-4ab4-8e72-bf080da87ed1 · outbound

This paper cites General representations of quivers.

Expander representations of quivers General representations of quivers

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T14:23:15.439439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-12T14:23:15.410823Z digest=sha256:f6fafbb1e2a2860e50fb2fd24d2ae6d3e74f6a7beac7868c5bf795258f89a022

Pith citing papers

Observation d83c8fc0-8b9f-415b-95f0-b7f6dbdf7db5 · inbound

Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories cites this paper.

Wild wall-crossing and symmetric quivers in 4d and 3d $\mathcal{N}=2$ field theories Expander representations of quivers

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:43:27.444020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-07T04:43:19.428108Z digest=sha256:62c9b7aef5b698a160906ce5f91c2ea7ca70665f4002c3cce37ee166c7516442