Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:05:10.811089Z
Paper Citation Record · LEDGER
The 1-periodic derived category of a gentle algebra : Part 1 -- Indecomposable objects
As of 20 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2506.04012.
A citation records a reference. It does not transfer a finding from one paper to another.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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Source: cited_works
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
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- raw_fallback, observed 2026-08-07T11:05:12.253320Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:12.221800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:12.200586Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:11.654237Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:11.595901Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:11.571861Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:11.549955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:11.524812Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Unavailable: canonical work link unavailable.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:11.361509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Unavailable: canonical work link unavailable.
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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:11.120878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- verified exact
- local_arxiv, observed 2026-08-07T11:05:10.880269Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+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
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- raw_fallback, observed 2026-08-07T11:05:11.085624Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.