Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:23:12.208468Z
Paper Citation Record · LEDGER
Semisimplicity of conformal blocks
As of 9 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2507.06318.
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 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:26:21.473580Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T19:26:22.083529Z
Reference resolution
25 of 25 outbound references displayed
- verified exact0
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b210694d-6d7e-4e18-b1b9-3eca6405949f · outbound
This paper cites Compactifying the space of stable maps.Journal of the American Mathematical Society, 15(1):27–75, January 2002.
Semisimplicity of conformal blocks Compactifying the space of stable maps.Journal of the American Mathematical Society, 15(1):27–75, January 2002
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:23:15.074236Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 55d54fd7-3915-4ba5-8ad2-81c7b9b4a895 · outbound
This paper cites American Mathematical Society, Providence, Rhode Island, November 2000.
Semisimplicity of conformal blocks American Mathematical Society, Providence, Rhode Island, November 2000
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:23:15.065199Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 02b93fce-1436-4fba-abe2-1fec47beaa24 · outbound
This paper cites Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras.Journal de Mathématiques Pures et Appliquées, 98(4):367–389, October 2012.
Semisimplicity of conformal blocks Unitarity of the KZ/Hitchin connection on conformal blocks in genus 0 for arbitrary Lie algebras.Journal de Mathématiques Pures et Appliquées, 98(4):367–389, October 2012
Reference 3
- Resolution
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- raw_fallback, observed 2026-08-06T19:23:15.057108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation be960548-dc46-42b5-be3b-5a0b2876647a · outbound
This paper cites Stable twisted curves and their r-spin structures.Annales de l’Institut Fourier, 58(5):1635–1689, 2008.
Semisimplicity of conformal blocks Stable twisted curves and their r-spin structures.Annales de l’Institut Fourier, 58(5):1635–1689, 2008
Reference 4
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- raw_fallback, observed 2026-08-06T19:23:15.048316Z
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 86d1e765-47aa-4207-bb70-866d0d818628 · outbound
This paper cites Real homotopy theory of Kähler manifolds.Inventiones mathematicae, 29(3):245–274, October 1975.
Semisimplicity of conformal blocks Real homotopy theory of Kähler manifolds.Inventiones mathematicae, 29(3):245–274, October 1975
Reference 5
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- raw_fallback, observed 2026-08-06T19:23:15.040394Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fd3527f7-8f67-498c-b4ae-b1d727fafa4a · outbound
This paper cites Toledo invariants of Topological Quantum Field Theo- ries, July 2022.
Semisimplicity of conformal blocks Toledo invariants of Topological Quantum Field Theo- ries, July 2022
Reference 6
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- raw_fallback, observed 2026-08-06T19:23:15.032557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 854b3fe6-4c71-4678-96cb-cae76ec9532c · outbound
This paper cites American Mathematical Society, Providence, Rhode Island, July 2015.
Semisimplicity of conformal blocks American Mathematical Society, Providence, Rhode Island, July 2015
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:23:15.024208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d4682df3-c8bc-4c75-9ac8-01ca76eb961e · outbound
This paper cites On fusion categories.Annals of Mathe- matics, 162(2):581–642, September 2005.
Semisimplicity of conformal blocks On fusion categories.Annals of Mathe- matics, 162(2):581–642, September 2005
Reference 8
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- raw_fallback, observed 2026-08-06T19:23:15.015399Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e5873690-1a6d-4888-9c74-ebcda8589fe7 · outbound
This paper cites Rigidity of non-negligible objects of moderate growth in braided categories, December 2024.
Semisimplicity of conformal blocks Rigidity of non-negligible objects of moderate growth in braided categories, December 2024
Reference 9
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aeac7ffe-ab6a-44e6-b04f-7aace1e3a092 · outbound
This paper cites Periodic and quasi-motivic pencils of flat connec- tions, December 2023.
Semisimplicity of conformal blocks Periodic and quasi-motivic pencils of flat connec- tions, December 2023
Reference 10
- Resolution
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- raw_fallback, observed 2026-08-06T19:23:14.998511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 46746fc6-323f-410a-9f41-bf1bb3bddc6f · outbound
This paper cites Instantons and framed sheaves on Kähler Deligne– Mumford stacks.Annales de la Faculté des sciences de Toulouse : Mathématiques, 27(3):599– 628, September 2018.
Semisimplicity of conformal blocks Instantons and framed sheaves on Kähler Deligne– Mumford stacks.Annales de la Faculté des sciences de Toulouse : Mathématiques, 27(3):599– 628, September 2018
Reference 11
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- raw_fallback, observed 2026-08-06T19:23:14.990011Z
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c02438b9-161f-4fe7-99e9-98f12ac23eaf · outbound
This paper cites Finkelberg.
Semisimplicity of conformal blocks Finkelberg
Reference 12
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Observation 29093822-33e3-4cfa-8818-b53054cb89bb · outbound
This paper cites Construction of Hodge structures on theSO(3)modular functors, February 2024.
Semisimplicity of conformal blocks Construction of Hodge structures on theSO(3)modular functors, February 2024
Reference 13
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Observation b6b12c99-49f3-4930-9d90-8a5648c557a8 · outbound
This paper cites Hodge structures on conformal blocks, June 2024.
Semisimplicity of conformal blocks Hodge structures on conformal blocks, June 2024
Reference 14
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- raw_fallback, observed 2026-08-06T19:23:14.761062Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 49b31b1d-97c1-4583-aea3-710acc1d8705 · outbound
This paper cites Drinfeld centers of fusion categories arising from gen- eralized Haagerup subfactors.Quantum Topology, 13(4):593–668, January 2023.
Semisimplicity of conformal blocks Drinfeld centers of fusion categories arising from gen- eralized Haagerup subfactors.Quantum Topology, 13(4):593–668, January 2023
Reference 15
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- raw_fallback, observed 2026-08-06T19:23:14.488272Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 02d8cc03-b5b0-4142-ad8d-bf54be59ce83 · outbound
This paper cites Kazhdan and G.
Semisimplicity of conformal blocks Kazhdan and G
Reference 16
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- raw_fallback, observed 2026-08-06T19:23:14.226609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cf05c50c-05a3-43f1-8353-5eb99c909a09 · outbound
This paper cites an unresolved cited work.
Semisimplicity of conformal blocks Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:23:13.999984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e48e734e-27e9-4ffe-8460-8a68d3f86e95 · outbound
This paper cites On an inner product in modular tensor categories.Journal of the Amer- ican Mathematical Society, 9(4):1135–1169, 1996.
Semisimplicity of conformal blocks On an inner product in modular tensor categories.Journal of the Amer- ican Mathematical Society, 9(4):1135–1169, 1996
Reference 18
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- raw_fallback, observed 2026-08-06T19:23:13.778277Z
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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ac235e88-1df2-4abf-93a1-21b375a2cb7a · outbound
This paper cites Non-cyclotomic fusion categories.Transactions of the American Mathematical Society, 364(9):4713–4733, September 2012.
Semisimplicity of conformal blocks Non-cyclotomic fusion categories.Transactions of the American Mathematical Society, 364(9):4713–4733, September 2012
Reference 19
- Resolution
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- raw_fallback, observed 2026-08-06T19:23:13.528883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3fe26ccf-2c59-47b8-916d-9177585b75ae · outbound
This paper cites The ‘Harder-Narasimhan trace’ and unitarity of the KZ/Hitchin con- nection: Genus 0.Annals of Mathematics, 169(1):1–39, January 2009.
Semisimplicity of conformal blocks The ‘Harder-Narasimhan trace’ and unitarity of the KZ/Hitchin con- nection: Genus 0.Annals of Mathematics, 169(1):1–39, January 2009
Reference 20
- Resolution
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- raw_fallback, observed 2026-08-06T19:23:13.291453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d1a10336-0ff7-4998-9e68-75e432204037 · outbound
This paper cites Reshetikhin and V.
Semisimplicity of conformal blocks Reshetikhin and V
Reference 21
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- raw_fallback, observed 2026-08-06T19:23:13.065799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 22cc3098-1437-43aa-bdb7-405dc16bcb65 · outbound
This paper cites Local Systems on Proper Algebraic V -manifolds.Pure and Applied Mathe- matics Quarterly, 7(4):1675–1760, 2011.
Semisimplicity of conformal blocks Local Systems on Proper Algebraic V -manifolds.Pure and Applied Mathe- matics Quarterly, 7(4):1675–1760, 2011
Reference 22
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- raw_fallback, observed 2026-08-06T19:23:12.880608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cc5a5f2e-32f9-407b-b7ec-bda541f970a1 · outbound
This paper cites an unresolved cited work.
Semisimplicity of conformal blocks Unresolved cited work
Reference 23
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- unresolved
- raw_fallback, observed 2026-08-06T19:23:12.766696Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bada1a19-9262-406c-8488-9f092f0910d4 · outbound
This paper cites Turaev.Quantum Invariants of Knots and 3-Manifolds.
Semisimplicity of conformal blocks Turaev.Quantum Invariants of Knots and 3-Manifolds
Reference 24
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- raw_fallback, observed 2026-08-06T19:23:12.618273Z
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Observation ee03987e-67e2-4503-a877-020670beb5cd · outbound
This paper cites an unresolved cited work.
Semisimplicity of conformal blocks Unresolved cited work
Reference 25
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Pith citing papers
Observation c34aa570-0d58-40ab-bdda-16433c93eba0 · inbound
Modular functors from conformal blocks of rational vertex operator algebras cites this paper.
Modular functors from conformal blocks of rational vertex operator algebras Semisimplicity of conformal blocks
Reference 39
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- local_arxiv, observed 2026-08-06T19:26:22.090340Z
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