Paper Citation Record · LEDGER

Topological model for derived category associated to sphere with four binaries

As of 11 August 2026, this Paper Citation Record lists 50 of 50 outbound references and 0 inbound Pith citation observations for arXiv:2608.00163.

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pith.paper-citation-record.v1
2608.00163 v1

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measured 50 of 50 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T01:27:58.883497Z

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Outbound references

Observation 549da322-d8c3-409f-83dd-e2103dc57e5a · outbound

This paper cites Assem, D.

Topological model for derived category associated to sphere with four binaries Assem, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.085348Z

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Observation 504f39b1-95c6-46cb-9976-10c291873100 · outbound

This paper cites Tubular cluster algebras I: categorification.

Topological model for derived category associated to sphere with four binaries Tubular cluster algebras I: categorification

Reference 2

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Observation 09fd4f2e-d37e-45a4-b7be-0424e32c4740 · outbound

This paper cites The cluster category of a canonical algebra.

Topological model for derived category associated to sphere with four binaries The cluster category of a canonical algebra

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.278614Z

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Observation 6216eebd-8199-474b-9868-c0aea0884702 · outbound

This paper cites Cluster structures for 2-Calabi-Yau categories and unipotent groups.

Topological model for derived category associated to sphere with four binaries Cluster structures for 2-Calabi-Yau categories and unipotent groups

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.355294Z

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Observation fffeab44-04fe-44fd-8ed6-58432e1a0678 · outbound

This paper cites Tilting theory and cluster combinatorics.

Topological model for derived category associated to sphere with four binaries Tilting theory and cluster combinatorics

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.436986Z

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Observation b47e8218-88ea-45ea-8007-1e47c5190f00 · outbound

This paper cites On the Cluster Category of a Marked Surface.

Topological model for derived category associated to sphere with four binaries On the Cluster Category of a Marked Surface

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.517573Z

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Observation 727df8e4-c04c-4968-9485-b10419179f10 · outbound

This paper cites Tagged mapping class groups: Auslander-Reiten translation.

Topological model for derived category associated to sphere with four binaries Tagged mapping class groups: Auslander-Reiten translation

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.597066Z

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Observation 6172379f-db7b-43bf-88b0-3293a7cedca6 · outbound

This paper cites Recovering the topology of surfaces from cluster algebras.

Topological model for derived category associated to sphere with four binaries Recovering the topology of surfaces from cluster algebras

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.659954Z

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Observation 6e19e784-2c0f-4756-9857-bb8bfe91ffee · outbound

This paper cites Kac's Theorem for weighted projective lines.

Topological model for derived category associated to sphere with four binaries Kac's Theorem for weighted projective lines

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.731033Z

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Observation 580e2f06-7a80-48b3-a185-f9e05d06651d · outbound

This paper cites Tilting objects on tubular weighted projective lines: a cluster tilting approach.

Topological model for derived category associated to sphere with four binaries Tilting objects on tubular weighted projective lines: a cluster tilting approach

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.787819Z

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Observation 93bef55b-91ee-41c8-8996-af9996879522 · outbound

This paper cites Monadicity theorem and weighted projective lines of tubular type.

Topological model for derived category associated to sphere with four binaries Monadicity theorem and weighted projective lines of tubular type

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.847367Z

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Observation afdc8a89-3596-4d7c-8a7b-a17e28526c05 · outbound

This paper cites Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials.

Topological model for derived category associated to sphere with four binaries Quivers with potentials associated to triangulated surfaces, Part III: tagged triangulations and cluster monomials

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.893055Z

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Observation 09ae51d2-f08b-4663-874a-9fe5ca02b757 · outbound

This paper cites Presentations of mapping class groups and an application to cluster algebras from surfaces.

Topological model for derived category associated to sphere with four binaries Presentations of mapping class groups and an application to cluster algebras from surfaces

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:54.935245Z

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Observation d9c6303e-f906-4272-bb0c-f168f6c55256 · outbound

This paper cites an unresolved cited work.

Topological model for derived category associated to sphere with four binaries Unresolved cited work

Reference 14

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Observation be048d69-05c7-4e61-9c85-c8542dbf3c5f · outbound

This paper cites Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras.

Topological model for derived category associated to sphere with four binaries Applications of mutations in the derived categories of weighted projective lines to Lie and quantum algebras

Reference 15

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Observation 12041b45-8811-4dd9-9ef0-e660e89cfe2b · outbound

This paper cites Ebeling The Poincar\' e series of some special quasihomogeneous surface singularities Publ.

Topological model for derived category associated to sphere with four binaries Ebeling The Poincar\' e series of some special quasihomogeneous surface singularities Publ

Reference 16

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Observation 6ec0de51-7a8c-4528-b6c3-da096cffe229 · outbound

This paper cites Ebeling D.

Topological model for derived category associated to sphere with four binaries Ebeling D

Reference 17

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Observation 98dfdcd1-90fa-4532-b36e-60e3858439d7 · outbound

This paper cites Ebeling A.

Topological model for derived category associated to sphere with four binaries Ebeling A

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:55.195352Z

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Observation 5e53105a-12c9-4675-a20b-ff92c87fb23a · outbound

This paper cites Topological model for q-deformed rational number and categorification.

Topological model for derived category associated to sphere with four binaries Topological model for q-deformed rational number and categorification

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:55.236240Z

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Observation 8cad75ca-63e4-4824-9da0-462517cb78f9 · outbound

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Topological model for derived category associated to sphere with four binaries Unresolved cited work

Reference 20

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Observation 218f2e3e-15db-4350-87a4-90f3e138e626 · outbound

This paper cites Cluster algebras and triangulated surfaces. Part I: Cluster complexes.

Topological model for derived category associated to sphere with four binaries Cluster algebras and triangulated surfaces. Part I: Cluster complexes

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:55.395481Z

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Observation 530de9b0-90e1-41e9-8a9e-aa4780f47f4a · outbound

This paper cites On cluster-tilting graphs for hereditary categories.

Topological model for derived category associated to sphere with four binaries On cluster-tilting graphs for hereditary categories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:55.509287Z

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Observation febd0e4c-f2aa-41b4-814e-395267e113b1 · outbound

This paper cites Geigle H.

Topological model for derived category associated to sphere with four binaries Geigle H

Reference 23

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Observation 17e9c83f-e0e6-420c-aca1-168b9cfe7919 · outbound

This paper cites Flat surfaces and stability structures.

Topological model for derived category associated to sphere with four binaries Flat surfaces and stability structures

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:55.738081Z

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Observation b0d0b1a7-c6a0-4a96-8a6d-116ff527fdd4 · outbound

This paper cites Happel I.

Topological model for derived category associated to sphere with four binaries Happel I

Reference 25

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Observation 75ceffce-c62e-4df3-b775-4c720b5aff21 · outbound

This paper cites u bner Classification of indecomposable vector bundles on weighted curves Diplomarbeit, Universit \.

Topological model for derived category associated to sphere with four binaries u bner Classification of indecomposable vector bundles on weighted curves Diplomarbeit, Universit \

Reference 26

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Observation 59502389-7104-4caa-b8fd-9932d7c7241c · outbound

This paper cites u bner Exzeptionelle Vektorb \.

Topological model for derived category associated to sphere with four binaries u bner Exzeptionelle Vektorb \

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:56.034586Z

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Observation 9acd2ebb-06ac-4d45-89a3-c3174ff24a61 · outbound

This paper cites Graded decorated marked surfaces: Calabi-Yau-$\mathbb{X}$ categories of gentle algebras.

Topological model for derived category associated to sphere with four binaries Graded decorated marked surfaces: Calabi-Yau-$\mathbb{X}$ categories of gentle algebras

Reference 28

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Observation 5dcb35a2-0cc7-40bd-8f36-c8058767c485 · outbound

This paper cites On triangulated orbit categories.

Topological model for derived category associated to sphere with four binaries On triangulated orbit categories

Reference 29

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Observation cd0e6a80-3dea-44eb-8746-89b572e45ccf · outbound

This paper cites Lenzing Wild canonical algebras and rings of automorphic forms Finite-dimensional algebras and related topics (Ottawa, ON, 1992), 191 212 NATO Adv.

Topological model for derived category associated to sphere with four binaries Lenzing Wild canonical algebras and rings of automorphic forms Finite-dimensional algebras and related topics (Ottawa, ON, 1992), 191 212 NATO Adv

Reference 30

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Observation 38beeeaf-32c7-4d50-972f-12add0215447 · outbound

This paper cites Lenzing Representations of finite-dimensional algebras and singularity theory Trends in ring theory (Miskolc, 1996) 71 97 CMS Conf.

Topological model for derived category associated to sphere with four binaries Lenzing Representations of finite-dimensional algebras and singularity theory Trends in ring theory (Miskolc, 1996) 71 97 CMS Conf

Reference 31

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Observation 9a4cdc79-61a5-4d31-a019-0ed5363cdd1e · outbound

This paper cites Lenzing Tubular and elliptic curves a unpublished note on joint work with H.

Topological model for derived category associated to sphere with four binaries Lenzing Tubular and elliptic curves a unpublished note on joint work with H

Reference 32

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Observation a2e646b3-f5ce-4087-ae04-44e66e7e955e · outbound

This paper cites Lenzing Rings of singularities Bull.

Topological model for derived category associated to sphere with four binaries Lenzing Rings of singularities Bull

Reference 33

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Observation a05a0082-f2b0-4fc0-8b45-867543b6e875 · outbound

This paper cites Lenzing H.

Topological model for derived category associated to sphere with four binaries Lenzing H

Reference 34

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Observation 62287492-85f7-4cdd-a7ec-5ce6eefc58ed · outbound

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

Topological model for derived category associated to sphere with four binaries Derived equivalences of gentle algebras via Fukaya categories

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.168296Z

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Observation 58eba003-3bf6-455c-bac5-1b16c79a3342 · outbound

This paper cites Lenzing I.

Topological model for derived category associated to sphere with four binaries Lenzing I

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.280445Z

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Observation da3768a7-ee84-4930-ac02-b00df9b33641 · outbound

This paper cites Meltzer Tubular mutations Colloq.

Topological model for derived category associated to sphere with four binaries Meltzer Tubular mutations Colloq

Reference 37

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Observation 53831b18-c415-4524-9f8d-d198a8eda07d · outbound

This paper cites Meltzer Exceptional vector bundles, tilting sheaves and tilting complexes for weighted projective lines Mem.

Topological model for derived category associated to sphere with four binaries Meltzer Exceptional vector bundles, tilting sheaves and tilting complexes for weighted projective lines Mem

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.454038Z

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Observation a369adff-f5a8-4581-b3e2-24514669836e · outbound

This paper cites $q$-deformed rationals and $q$-continued fractions.

Topological model for derived category associated to sphere with four binaries $q$-deformed rationals and $q$-continued fractions

Reference 39

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Observation 9dc3a929-0bcc-42a2-9d8e-d8e2f65c9c7f · outbound

This paper cites Opper Autoequivalences of Fukaya categories of surfaces and graded gentle algebras (arXiv:2510.11543).

Topological model for derived category associated to sphere with four binaries Opper Autoequivalences of Fukaya categories of surfaces and graded gentle algebras (arXiv:2510.11543)

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.569547Z

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Observation 28526af0-b810-45fa-945b-05f3e9d11faf · outbound

This paper cites Holomorphic bundles on 2-dimensional noncommutative toric orbifolds.

Topological model for derived category associated to sphere with four binaries Holomorphic bundles on 2-dimensional noncommutative toric orbifolds

Reference 41

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Observation a5643476-eae1-4a6a-b803-f702c674a52d · outbound

This paper cites Decorated marked surfaces: spherical twists versus braid twists.

Topological model for derived category associated to sphere with four binaries Decorated marked surfaces: spherical twists versus braid twists

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.781042Z

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Observation 1bf5fbb1-b018-4026-82d6-16ce7642ea6f · outbound

This paper cites Qiu Decorated marked surfaces (part B): Topological realizations Math.

Topological model for derived category associated to sphere with four binaries Qiu Decorated marked surfaces (part B): Topological realizations Math

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:57.932362Z

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Observation 2d0f68a8-9687-4ff5-9ff5-34d97f009ee0 · outbound

This paper cites Cluster categories for marked surfaces: punctured case.

Topological model for derived category associated to sphere with four binaries Cluster categories for marked surfaces: punctured case

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.103271Z

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Observation 8ebcbda5-f8e8-4b64-a406-d1edaf041dd7 · outbound

This paper cites Decorated marked surfaces II: Intersection numbers and dimensions of Homs.

Topological model for derived category associated to sphere with four binaries Decorated marked surfaces II: Intersection numbers and dimensions of Homs

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.237344Z

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Observation b21042c8-8b5b-4360-a95d-15b81077ad53 · outbound

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Topological model for derived category associated to sphere with four binaries Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.344883Z

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Observation 3018ed1a-b6a6-4bcd-be50-afe18e96beab · outbound

This paper cites Two geometric models for graded skew-gentle algebras.

Topological model for derived category associated to sphere with four binaries Two geometric models for graded skew-gentle algebras

Reference 47

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Observation 22431f51-6ac7-401f-a74b-73a055d7de1b · outbound

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Topological model for derived category associated to sphere with four binaries Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.621737Z

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Observation 6c532ff6-a5c8-4966-bc65-2394427a8ade · outbound

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Topological model for derived category associated to sphere with four binaries Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.774803Z

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Observation dc2c833c-24cd-4300-a62a-9591c0780f29 · outbound

This paper cites Noncommutative projective curves and quantum loop algebras.

Topological model for derived category associated to sphere with four binaries Noncommutative projective curves and quantum loop algebras

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T01:27:58.883497Z

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