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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.374077Z digest=sha256:2b37b96765cab1e0df0f24ecbba1fad03c1d877755840b28b4b07c4f45ee69b1

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.440249Z digest=sha256:ef8ac986d1f35f9b64f74f4abd21e420a3d5ecb9aba4fa35c105bdc6686270e0

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

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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 2026-08-13T06:32:02.005865+00:00.

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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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.615886Z digest=sha256:901888f0b6642d9c40478b2a0f6f9c68fc251492ce51cf19bc3335d999105634

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.687825Z digest=sha256:e968f28c1ede28a344ea9c9659957ad447caae4e0105376e292570482febae11

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.764468Z digest=sha256:a9f5efe0cca5da239f0eacd24158c8884e61c83e6976f80aa9c6c4db3367dc44

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.847717Z digest=sha256:63b33f33b4efd75a1371ac1a8e81a06a5f328487bd49481f03a85855b716cd8b

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.911041Z digest=sha256:9d421efc715b1e59f895b29abdeeb410c49a205d36fec4bf2149df0e0445a65d

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:51.995011Z digest=sha256:ced0baa9ce517874c4fa337e3d1e304923dcbca104a3e600612b7e31495e0c2a

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.077830Z digest=sha256:b36b454172087fe88074effe9edf4baea4eaabe3f1c86e5fcf76beedf848743a

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:42:52.126348Z digest=sha256:00a4ad34a73995baff9620f2b61cb34f4a399117d4f50bd9abce533ec3169f42

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.190763Z digest=sha256:0ca6c5126a3088d65f0a92e6b0cefef53c052aeda6b5b846ca9cf6a57e99ba6d

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.244067Z digest=sha256:8deab549aeaff2bbb6af393cc4d6d5015d9db19dbbbff9356eee1ebc53fa3cb9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.311818Z digest=sha256:3f460419826f42dfe43eb178463fdb13098b25c77754133ccc5fb651a2590660

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.356861Z digest=sha256:bfce94bc5b517d1b98d7d86b531176c29fc2737bfae442f52cd2b77e996bd334

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
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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.454770Z digest=sha256:32678c0d3ab2d3a255edb7f7ada350688c0baaff50bb435b518ab7eff2facd76

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

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local_arxiv, observed 2026-08-06T20:42:53.904699Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.581084Z digest=sha256:435299135aa9bd372bb18f331a4980cae29130b09230827b2f8046c8e14eeca1

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.649703Z digest=sha256:778993e267ccb61e56fdcfe9fadb8c2642a322e059057b06f3b30b51254264f2

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.708139Z digest=sha256:600cda20f5f2062729acfaa4c9af38ddc707bcc36618db06e1052aab53cebfda

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.780036Z digest=sha256:ec13a1d996a0aa5329cf221f970cd7bd828d6407dedce5484cbfe357664a4489

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.887798Z digest=sha256:1c786b9258b443f19cddf7e442d609f58055fa10b3c2eba4fcd1da54e86306f3

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:52.982977Z digest=sha256:ab64ae01810833f58021f13bae3fe009f54880472696733b30e14aa00a059dd6

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:53.122220Z digest=sha256:48f50e146f6e7a29a4b5144c4fea9ea4ddf0abc32cde3b768eb69c43a7fb3260

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:53.262521Z digest=sha256:c4c5c905f97551f52c9315e5ffbac7d77ad00792e5ba1e3e5bb93e0f50b526db

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:42:53.447006Z digest=sha256:cbf9b156fd39998a734c090eb944d23dd6cb87d0dbb165d9b73afc2954400d4c

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

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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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T20:42:53.600857Z digest=sha256:4ddf725cc9e191fe54a57bed2faaabf1eec450cad92722211cc36f9c62c85be4

Pith citing papers

No inbound Pith citation observations are available.