Paper Citation Record · LEDGER

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.04012.

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pith.paper-citation-record.v1
2506.04012 v2

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T11:05:10.811089Z

measured 32 of 32 standing notices

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation 4dff2973-e9ff-4807-b8da-163b4ab55286 · outbound

This paper cites Combinatorial derived invariants for gentle algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Combinatorial derived invariants for gentle algebras

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.253320Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 57a37729-9ec0-4f34-9e22-345346d38b81 · outbound

This paper cites Generalized tilted algebras of type an.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Generalized tilted algebras of type an

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.221800Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74058b54-4327-4f66-bafc-02873fba2c99 · outbound

This paper cites Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Morphisms between indecomposable complexes in the bounded derived category of a gentle algebra

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.200586Z

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Observation 37984fcb-41ab-4b02-8a31-faf9b1b2a91b · outbound

This paper cites The image of the derived category in the cluster category.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects The image of the derived category in the cluster category

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.175856Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7b70fd62-bf04-447e-a2fb-45dc6ac8116c · outbound

This paper cites Cluster equivalence and graded derived equivalence.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Cluster equivalence and graded derived equivalence

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.150455Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1515bb45-79ff-4562-a7a4-3606bf0e6357 · outbound

This paper cites A complete derived invariant for gentle algebras via winding numbers and arf invariants.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A complete derived invariant for gentle algebras via winding numbers and arf invariants

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.121838Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8cd593e-9e5e-4c2f-a764-206f1922b192 · outbound

This paper cites Cohen-macaulay and gorenstein artin algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Cohen-macaulay and gorenstein artin algebras

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.089395Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34f87780-7326-49de-bc8b-408c586dcc7e · outbound

This paper cites Iterated tilted algebras of type A _n.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Iterated tilted algebras of type A _n

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:12.065883Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8042dced-b1d9-4b78-92d2-4ebacc4b4493 · outbound

This paper cites Algèbres et modules.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Algèbres et modules

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.654237Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation eb051826-d495-426c-8142-5069deade4f2 · outbound

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

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A geometric model for the module category of a gentle algebra

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.619964Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4e639a5b-cf66-48f7-9a3c-264cace06ea9 · outbound

This paper cites Representation type of finite groups.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Representation type of finite groups

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.595901Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5445e361-1077-45c5-8a90-4100ac106d82 · outbound

This paper cites Indecomposables in derived categories of gentle algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Indecomposables in derived categories of gentle algebras

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.571861Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6ebbaee2-8443-4afc-8f50-5ec69b1f8b95 · outbound

This paper cites Representations of dihedral groups over a field of characteristic 2.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Representations of dihedral groups over a field of characteristic 2

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.549955Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 75fe9378-67b2-4919-b4c8-b62b7be2a483 · outbound

This paper cites Auslander-reiten sequences with few middle terms and applications to string algebrass.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Auslander-reiten sequences with few middle terms and applications to string algebrass

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.524812Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a4095af3-f753-4816-8d4e-12ee9deccf22 · outbound

This paper cites Maximal Cohen--Macaulay Modules and Tate Cohomology , volume 262.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Maximal Cohen--Macaulay Modules and Tate Cohomology , volume 262

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.502523Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 201c6510-0e12-4544-a5a6-05c48db05d39 · outbound

This paper cites Classification of modules for infinite-dimensional string algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Classification of modules for infinite-dimensional string algebras

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.465935Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8302c0d3-7ba5-488f-92d9-a2316c6cf743 · outbound

This paper cites Cluster theory of topological Fukaya categories.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Cluster theory of topological Fukaya categories

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T11:05:10.663406Z

Source-reported events for the cited work

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Observation fbe67adb-2d8a-4702-90e7-5271b1ff44fe · outbound

This paper cites Triangulated surfaces in triangulated categories.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Triangulated surfaces in triangulated categories

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.422942Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 29f7d1a2-53aa-46cc-b034-a946076cc3b3 · outbound

This paper cites Representation theory of graded artin algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Representation theory of graded artin algebras

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.388702Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2aaf79d8-5e70-426a-8dc0-ac536369339e · outbound

This paper cites Triangulated categories in the representation theory of finite dimensional algebras , volume 119.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Triangulated categories in the representation theory of finite dimensional algebras , volume 119

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.361509Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74c09562-b14a-45ca-8394-1b7dad497c4b · outbound

This paper cites A brief introduction to the q-shaped derived category.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A brief introduction to the q-shaped derived category

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.323270Z

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Observation 7af8ca77-f374-43f7-812e-6cde51d50e65 · outbound

This paper cites Flat surfaces and stability structures.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Flat surfaces and stability structures

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.298814Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cbd31fe4-9f30-4586-92bd-b19ddc59f0ee · outbound

This paper cites A complete derived invariant and silting theory for graded gentle algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A complete derived invariant and silting theory for graded gentle algebras

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T11:05:10.721699Z

Source-reported events for the cited work

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Observation 4374a9d1-8efa-4848-b214-fa64bd92dd1d · outbound

This paper cites On triangulated orbit categories.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects On triangulated orbit categories

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.268769Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9573e61f-19af-4545-bf41-05122d172ee2 · outbound

This paper cites Corrections to ‘on triangulated orbit categories’.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Corrections to ‘on triangulated orbit categories’

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.234520Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c5f9d5f6-9197-491b-b1ed-5ec6f0167b73 · outbound

This paper cites Derived equivalences of gentle algebras via fukaya categories.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Derived equivalences of gentle algebras via fukaya categories

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.189644Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3ae8e9f2-6b1c-475a-8ad7-4ca3f3e67879 · outbound

This paper cites A problem of im gelfand.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A problem of im gelfand

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.158318Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3eddd68d-d3b6-4993-8bdb-d49e4aca4d61 · outbound

This paper cites On auto-equivalences and complete derived invariants of gentle algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects On auto-equivalences and complete derived invariants of gentle algebras

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T11:05:10.758517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2aa98b5f-0c6a-4fb0-bd8c-3ba5ee0c6dd0 · outbound

This paper cites A geometric model for the derived category of gentle algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects A geometric model for the derived category of gentle algebras

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T11:05:10.774366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bae252ed-4c20-45a6-8dcd-579f50723332 · outbound

This paper cites Auslander-reiten triangles in derived categories.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Auslander-reiten triangles in derived categories

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.120878Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 396e569c-ad6c-4105-bdcd-93e9c4e2c08d · outbound

This paper cites The triangulated hull of periodic complexes.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects The triangulated hull of periodic complexes

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:05:10.880269Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7900fe4f-e52f-4981-99f4-9ec39396deae · outbound

This paper cites Stable endomorphism algebras of modules over special biserial algebras.

The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects Stable endomorphism algebras of modules over special biserial algebras

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:05:11.085624Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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