Paper Citation Record · LEDGER

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$

As of 17 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2507.02218.

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

pith.paper-citation-record.v1
2507.02218 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:42:53.600857Z

measured 26 of 26 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 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

26 of 26 outbound references displayed

verified exact4
verified fuzzy19
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61e3bbf3-6dbd-4f3f-bfc4-11d5fde22fa1 · outbound

This paper cites 1, Cambridge University Press, Cambridge, 2006.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1, Cambridge University Press, Cambridge, 2006

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:58.627420Z

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.

Observation 88cc618c-0cd4-4945-8e1b-6c0c15827f4a · outbound

This paper cites Smalø,Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1995.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Smalø,Representation Theory of Artin Algebras, Cambridge Studies in Advanced Mathematics, Cambridge University Press, Cambridge, 1995

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:58.480412Z

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.

Observation dff09ba7-b2d7-42ab-b9eb-9bcda0ac286d · outbound

This paper cites A geometric realization of tame categories.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ A geometric realization of tame categories

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:42:54.635601Z

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.

Observation 99fa23e5-9b3f-4b17-a5f4-2721501cda65 · outbound

This paper cites 1, 323–332 (en).

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1, 323–332 (en)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:58.304872Z

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.

Observation 8bde0ad1-b94c-4461-b026-b5589de56b68 · outbound

This paper cites Marsh, and Idun Reiten,Cluster mutation via quiver representations, Com- mentarii Mathematici Helvetici83(2008), no.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Marsh, and Idun Reiten,Cluster mutation via quiver representations, Com- mentarii Mathematici Helvetici83(2008), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:58.163669Z

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.

Observation c853c72d-fb98-4f7e-98cd-091ceb69d357 · outbound

This paper cites 2, 572–618, Publisher: Elsevier.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 2, 572–618, Publisher: Elsevier

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:58.026159Z

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.

Observation a6ae0290-738b-48e1-a4bf-58d51780dc27 · outbound

This paper cites 3, 1347–1364, Publisher: American Mathematical Society.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 3, 1347–1364, Publisher: American Mathematical Society

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:57.889001Z

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.

Observation 8e2799d3-9a7e-4ff4-a633-9c76e6159158 · outbound

This paper cites 2, 457–469, Publisher: Editorial Committee of Tsukuba Journal of Mathematics.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 2, 457–469, Publisher: Editorial Committee of Tsukuba Journal of Mathematics

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:57.695899Z

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.

Observation 12372d76-7a10-4b36-b39f-65b751449d1b · outbound

This paper cites Part I: Cluster complexes, Acta Mathematica201(2008), no.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Part I: Cluster complexes, Acta Mathematica201(2008), no

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:57.486238Z

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.

Observation e174615e-621d-4789-b3e9-517806496343 · outbound

This paper cites 2, 497–529.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 2, 497–529

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:57.298418Z

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.

Observation bc259d20-9f7a-4727-846f-e9863d4caf75 · outbound

This paper cites Cluster algebras II: Finite type classification.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Cluster algebras II: Finite type classification

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T20:42:52.126348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eabef36f-a4b0-4c2c-8dda-f9aecc34c0ec · outbound

This paper cites 1, 71–103 (de).

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1, 71–103 (de)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:57.137120Z

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.

Observation 048679ee-ca59-4c1b-9def-656e56ce46b4 · outbound

This paper cites 73, Springer, 1997 (en).

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 73, Springer, 1997 (en)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:56.914463Z

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.

Observation e3217304-3612-4741-bcfd-53ef648420bd · outbound

This paper cites 3, 589–632, Publisher: Springer.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 3, 589–632, Publisher: Springer

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:56.758416Z

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.

Observation f40cd7a1-c740-4dc2-9e1e-f54540da2570 · outbound

This paper cites Cluster algebra structures and semicanonical bases for unipotent groups.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Cluster algebra structures and semicanonical bases for unipotent groups

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:42:54.299979Z

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.

Observation 7fdc8b47-8e99-4a0f-a645-452ca9aefad7 · outbound

This paper cites Mutation graph of support $\tau$-tilting modules over a skew-gentle algebra.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Mutation graph of support $\tau$-tilting modules over a skew-gentle algebra

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:42:54.098439Z

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.

Observation c67b959c-1a81-4232-b907-bc7b3ea66803 · outbound

This paper cites A geometric model for the module category of a skew-gentle algebra.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ A geometric model for the module category of a skew-gentle algebra

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T20:42:53.904699Z

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.

Observation 30402bb9-e619-4c60-8332-6a509673632c · outbound

This paper cites an unresolved cited work.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T20:42:56.573417Z

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.

Observation a9826e7a-954c-47fb-aae6-9e4d94d77ed9 · outbound

This paper cites 4, 1023–1054 (en).

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 4, 1023–1054 (en)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:56.356953Z

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.

Observation f89f90eb-5530-4e90-a8f7-0c603529635e · outbound

This paper cites 1099, Springer, Berlin, Heidelberg, 1984.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1099, Springer, Berlin, Heidelberg, 1984

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:56.101293Z

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.

Observation 29c9d89c-a16f-44a9-ae40-964aac1207f7 · outbound

This paper cites 1, 1–21, Publisher: Springer.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1, 1–21, Publisher: Springer

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:55.831342Z

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.

Observation dbc16cdd-c90f-4d9a-966d-4e96930829a8 · outbound

This paper cites 1, Springer, 2014.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 1, Springer, 2014

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:55.597504Z

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.

Observation cacc98e9-0fbc-467d-ba00-4f8234bc4add · outbound

This paper cites 2, Cambridge University Press, Cambridge, 2007.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 2, Cambridge University Press, Cambridge, 2007

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:55.333468Z

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.

Observation d17b046c-dbce-4c34-89db-111ad44c7598 · outbound

This paper cites 3, Cambridge University Press, Cambridge, 2007.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 3, Cambridge University Press, Cambridge, 2007

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:55.112288Z

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.

Observation 83e6f5ae-c12c-4a99-94a6-db70f80744be · outbound

This paper cites 6, 2541–2567, Publisher: Taylor & Francis eprint: https://doi.org/10.1080/00927872.2014.903403.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 6, 2541–2567, Publisher: Taylor & Francis eprint: https://doi.org/10.1080/00927872.2014.903403

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T20:42:53.447006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e31426b-56be-41c2-b6ba-2040b6c1a052 · outbound

This paper cites 10, 2898–2915.

A geometric model for the non-$\tau$-rigid modules of type $\widetilde{D}_n$ 10, 2898–2915

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:42:54.883099Z

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.

Pith citing papers

No inbound Pith citation observations are available.