Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T17:17:48.458588Z
Paper Citation Record · LEDGER
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory
As of 16 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2508.13137.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
36 of 36 outbound references displayed
- verified exact27
- verified fuzzy3
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2e0f7f5d-954e-4773-ad3a-fc549ab78f31 · outbound
This paper cites On the structure of triangulated category with finitely many indecomposables.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory On the structure of triangulated category with finitely many indecomposables
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.647067Z
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 50b29cca-69e9-4b76-8613-dc7b2f6a952a · outbound
This paper cites Assem, D.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Assem, D
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:17:49.742245Z
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 f041aa2f-a196-45e1-92d1-235b9512ea6e · outbound
This paper cites Cluster structures for the $A_{\infty}$ singularity.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster structures for the $A_{\infty}$ singularity
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.601318Z
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 9ffb21ec-1e4b-45c1-8a52-30dccf83553d · outbound
This paper cites Tilting theory and cluster combinatorics.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Tilting theory and cluster combinatorics
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.215291Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4f424d7e-a30f-47ed-b05d-c5396b4bea99 · outbound
This paper cites Exact Categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Exact Categories
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.226672Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2804dd0e-9fc8-4fb7-9989-3b01d918010b · outbound
This paper cites Quivers with relations arising from clusters (A_n case).
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Quivers with relations arising from clusters (A_n case)
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.496150Z
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 1557336a-8a0c-4ce8-885a-7767fe255a74 · outbound
This paper cites Cluster categories for completed infinity-gons I: Categorifying triangulations.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster categories for completed infinity-gons I: Categorifying triangulations
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.244760Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39c266f2-5025-4c18-b349-41700dac01b3 · outbound
This paper cites Cotorsion pairs in cluster categories of type $A_{\infty}^{\infty}$.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cotorsion pairs in cluster categories of type $A_{\infty}^{\infty}$
Reference 8
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.408627Z
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 f937fe97-700b-4d9f-8668-bbac84abeaba · outbound
This paper cites Hom-configurations in triangulated categories generated by spherical objects.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Hom-configurations in triangulated categories generated by spherical objects
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.373746Z
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 7b82b2c0-7cc8-4413-9cb8-d8d52a6a6b2f · outbound
This paper cites Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Mutations of simple-minded systems in Calabi-Yau categories generated by a spherical object
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.339141Z
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 aeb92b64-c633-451e-b29d-81693305638d · outbound
This paper cites Torsion pairs in a triangulated category generated by a spherical object.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Torsion pairs in a triangulated category generated by a spherical object
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.305172Z
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 80813b76-30cf-4fff-bd8c-4bcf6352f142 · outbound
This paper cites Simple-minded systems and reduction for negative Calabi-Yau triangulated categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Simple-minded systems and reduction for negative Calabi-Yau triangulated categories
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.275196Z
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 dd8e85cb-1a07-4420-92f4-8c5dfaecfb3f · outbound
This paper cites Decomposition of pointwise finite-dimensional persistence modules.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Decomposition of pointwise finite-dimensional persistence modules
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.288565Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 572db077-4256-4e70-b2a9-ba3b62166caa · outbound
This paper cites Metric completions of discrete cluster categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Metric completions of discrete cluster categories
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.204835Z
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 329d6e1e-eef2-4c52-9e3a-f1c432b21bbd · outbound
This paper cites On the Enlargement by Pr\"ufer Objects of the Cluster Category of type $A_\infty$.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory On the Enlargement by Pr\"ufer Objects of the Cluster Category of type $A_\infty$
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.173818Z
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 33926ec7-076e-4bf5-93d0-fdadd420b47c · outbound
This paper cites Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Torsion pairs, t-structures, and co-t-structures for completions of discrete cluster categories
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.144745Z
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 a1a2f8d8-4602-4dfd-b57f-d1ad3b110db7 · outbound
This paper cites Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{ \infty }$
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.118559Z
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 acae283b-fef7-419f-bdd6-06f880e556c6 · outbound
This paper cites Lattices of t-structures and thick subcategories for discrete cluster categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Lattices of t-structures and thick subcategories for discrete cluster categories
Reference 18
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.087140Z
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 ac5097fb-8024-4711-81b4-edac82ece60a · outbound
This paper cites Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Decomposition of Pointwise Finite-Dimensional S^1 Persistence Modules
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.039603Z
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 915cdf3b-59c7-4409-8506-15e68440bc49 · outbound
This paper cites Happel, Triangulated categories in the representation theory of finite dimensional algebras, London Math.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Happel, Triangulated categories in the representation theory of finite dimensional algebras, London Math
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:17:49.717592Z
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 e514ad2f-e438-440d-b82b-f86758cd6ff7 · outbound
This paper cites On a triangulated category which behaves like a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory On a triangulated category which behaves like a cluster category of infinite Dynkin type, and the relation to triangulations of the infinity-gon
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:49.006348Z
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 5a1b6142-7b35-4ef2-a3f6-79360b140d24 · outbound
This paper cites Cluster tilting vs. weak cluster tilting in Dynkin type A infinity.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster tilting vs. weak cluster tilting in Dynkin type A infinity
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.971960Z
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 a8e8ea5b-86de-4fe8-a600-cb359c99fe85 · outbound
This paper cites Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Sparseness of t-structures and negative Calabi-Yau dimension in triangulated categories generated by a spherical object
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.938515Z
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 7c611dec-9096-46dc-8a9b-862543eebf61 · outbound
This paper cites Cluster categories coming from cyclic posets.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster categories coming from cyclic posets
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.906592Z
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 a739a0be-a88b-4fdf-8ee6-f9d406805394 · outbound
This paper cites Auslander-Reiten triangles and quivers over topological spaces.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Auslander-Reiten triangles and quivers over topological spaces
Reference 25
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.861798Z
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 0a25bd7e-4c6e-4ea0-9132-8457a22dec2a · outbound
This paper cites The Hall algebra of a spherical object.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory The Hall algebra of a spherical object
Reference 26
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.832221Z
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 1b8b8dbd-1e71-4c5c-8dab-380cbdee4f3a · outbound
This paper cites Krull-Schmidt categories and projective covers.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Krull-Schmidt categories and projective covers
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.808357Z
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 45a5bddb-c40c-4bfc-99a1-836da853936f · outbound
This paper cites Cluster categories of type $\mathbb{A}_\infty^\infty$ and triangulations of the infinite strip.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cluster categories of type $\mathbb{A}_\infty^\infty$ and triangulations of the infinite strip
Reference 28
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.773783Z
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 a630fb1a-4b2e-4150-a854-aade2182a2f8 · outbound
This paper cites The Grothendieck Groups of Discrete Cluster Categories of Dynkin Type $A_{\infty}$.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory The Grothendieck Groups of Discrete Cluster Categories of Dynkin Type $A_{\infty}$
Reference 29
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.739547Z
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 9f095ff3-9d9c-4304-add2-984c32b121dc · outbound
This paper cites Bounding The Orlov Spectrum For A Completion Of Discrete Cluster Categories.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Bounding The Orlov Spectrum For A Completion Of Discrete Cluster Categories
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.700249Z
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 0a6e4278-e1c4-4186-91c0-81c692ef4359 · outbound
This paper cites A characterization of torsion theories in the cluster category of Dynkin type A_{\infty}.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory A characterization of torsion theories in the cluster category of Dynkin type A_{\infty}
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.423015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 51cfbc90-81c1-4741-9cf3-8af3d9b9ff68 · outbound
This paper cites Completions of discrete cluster categories of type $\mathbb{A}$.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Completions of discrete cluster categories of type $\mathbb{A}$
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.629665Z
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 13a6bad4-8e43-4b2f-8b0f-c680cf1ecff8 · outbound
This paper cites Noetherian hereditary categories satisfying Serre duality.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Noetherian hereditary categories satisfying Serre duality
Reference 33
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.597985Z
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 997f37b3-2ec3-4b23-b3d7-27f4570ca1fd · outbound
This paper cites Continuous Nakayama Representations.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Continuous Nakayama Representations
Reference 34
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T17:17:48.556580Z
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 613d0770-8b5a-4d50-b1e5-c1154189feb6 · outbound
This paper cites Cotorsion pairs and t-structures in a $2-$Calabi-Yau triangulated category.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Cotorsion pairs and t-structures in a $2-$Calabi-Yau triangulated category
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T17:17:48.451056Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 94cad16d-0be2-4934-b410-68828d60b2c3 · outbound
This paper cites Zimmermann, Representation theory.
Negative Calabi-Yau discrete cluster categories via Nakayama representations and persistence theory Zimmermann, Representation theory
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T17:17:49.685549Z
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.