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Paper Citation Record · LEDGER

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT

As of 16 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2509.07720.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.07720 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:22:36.297469Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation f1105bfe-ec6b-40f2-aad6-8bc86d49e1bb · outbound

This paper cites A Z _2 -orbifold model of the symplectic fermionic vertex operator superalgebra.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT A Z _2 -orbifold model of the symplectic fermionic vertex operator superalgebra

Reference 1

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.168029Z digest=sha256:b316b1634df6a455212162aaf1d24d26aa51e086c133de1c43c3f54d469e53d6

Observation 44f9322d-bb35-46ed-bc10-9fd7803e9599 · outbound

This paper cites On the triplet vertex algebra \( W(p)\).

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT On the triplet vertex algebra \( W(p)\)

Reference 2

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source=arxiv_source observed=2026-08-15T16:22:36.172177Z digest=sha256:3270557e4a9728d97749b4343407ebb970eabe3d6fefef2c44b2714105a346e6

Observation dcd5a8c4-bd9d-4d14-8b75-0e4a0defc00b · outbound

This paper cites Beilinson, B.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Beilinson, B

Reference 3

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source=arxiv_source observed=2026-08-15T16:22:36.175516Z digest=sha256:754c7546b59cdf30969196de148b2ca19f9a7b0d662a7d8566d102b535044d55

Observation 55d38270-5e6b-4110-a338-bb3b77a13c25 · outbound

This paper cites Vertex algebras and Teichm\"{u}ller modular forms.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Vertex algebras and Teichm\"{u}ller modular forms

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:22:36.179181Z digest=sha256:70f1c018a1c5cb7e505c55f79dfd35e94ecb5798e499e29ae26fccc834788539

Observation 94e43346-fb3b-4f19-8f1d-e1d397aba5d5 · outbound

This paper cites Morita equivalences for Zhu's algebra.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Morita equivalences for Zhu's algebra

Reference 5

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source=arxiv_source observed=2026-08-15T16:22:36.182795Z digest=sha256:97af1897f6a349a191d98b755931619bcf535eeae43aa9ff676823f922b0dcba

Observation 1038f86c-50f9-484b-b466-fb441b089502 · outbound

This paper cites Conformal blocks on smoothings via mode transition algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Conformal blocks on smoothings via mode transition algebras

Reference 6

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source=arxiv_source observed=2026-08-15T16:22:36.186385Z digest=sha256:d506f00ef64b2e48a7fe8f164ea86768f1c25e2eafd1295ec6b489569f56de8a

Observation 63838680-04c9-4873-90bd-5bf1b350cb57 · outbound

This paper cites Factorization presentations.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Factorization presentations

Reference 7

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source=arxiv_source observed=2026-08-15T16:22:36.189920Z digest=sha256:cf3de1018d7fff41843f1c9bc0293afcc6c607a6234e89d3fd9e483f0cf2ad01

Observation b81cc212-d369-4f7e-9ae5-87e615366b98 · outbound

This paper cites Conformal blocks from vertex algebras and their connections on M _ g, n.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Conformal blocks from vertex algebras and their connections on M _ g, n

Reference 8

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source=arxiv_source observed=2026-08-15T16:22:36.194055Z digest=sha256:ffd876b986b218ef1fb88ed5461d8434ce3973853c80f5a4d1e1678f06906951

Observation 12b7e49e-5be3-465a-98d1-24964da27a11 · outbound

This paper cites On factorization and vector bundles of conformal blocks from vertex algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT On factorization and vector bundles of conformal blocks from vertex algebras

Reference 9

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source=arxiv_source observed=2026-08-15T16:22:36.197499Z digest=sha256:96ec8b07679b460b75ce14bfb60d0fabd8c1cf80446b432619aa3645d15ede47

Observation 75105a67-d426-4c37-b1b1-d1ff0a127541 · outbound

This paper cites Douglas, Christopher Schommer-Pries, and Noah Snyder.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Douglas, Christopher Schommer-Pries, and Noah Snyder

Reference 10

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source=arxiv_source observed=2026-08-15T16:22:36.200891Z digest=sha256:87b82eb0d93e5744be27242973cdd76495a65594e37a37eb25a099dbb5a487e4

Observation 7fb16ad0-49eb-4c85-a606-b2681ab31f93 · outbound

This paper cites Modular functors from conformal blocks of rational vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Modular functors from conformal blocks of rational vertex operator algebras

Reference 11

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:22:36.204195Z digest=sha256:1c952b1d431d358fa186a2eb7de956ec2d55fa18485ae833d8e9f3959b945259

Observation 806c454c-589e-4646-a7de-7f3c1f38e39c · outbound

This paper cites Tensor Categories , volume 205 of Mathematical Surveys and Monographs.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Tensor Categories , volume 205 of Mathematical Surveys and Monographs

Reference 12

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source=arxiv_source observed=2026-08-15T16:22:36.208435Z digest=sha256:6ec6aa3ca9a94122ad96afcc8e5a5db2d20787de9390d9abbe39ec392e297e4a

Observation 69aab6d3-41ca-4802-9a9f-bf47ab67912b · outbound

This paper cites Vertex algebras and algebraic curves , volume 88 of Mathematical Surveys and Monographs.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Vertex algebras and algebraic curves , volume 88 of Mathematical Surveys and Monographs

Reference 13

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source=arxiv_source observed=2026-08-15T16:22:36.212204Z digest=sha256:6f65bee3dd29f5fcbb65198dfac8d80544e2946247f45f72e46b8e8af6f9edbc

Observation c73e81f0-f2a0-483e-b1b1-ba8688dc6aac · outbound

This paper cites Farsad, A.M.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Farsad, A.M

Reference 14

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source=arxiv_source observed=2026-08-15T16:22:36.215316Z digest=sha256:09386b47d4b1e9fad59efac0a4fb97953a956c9b0c5bf5f5a6c03f91db88393c

Observation 922d12dd-4d6f-4081-ba28-3d79ea1cc06a · outbound

This paper cites Eilenberg- W atts calculus for finite categories and a bimodule R adford S^4 theorem.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Eilenberg- W atts calculus for finite categories and a bimodule R adford S^4 theorem

Reference 15

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source=arxiv_source observed=2026-08-15T16:22:36.218987Z digest=sha256:8fea4003df40ebba813d2954fe704d87dc155047f9c29fc59ac738d4054dd1db

Observation 9b3b7171-9578-48e7-8500-7c9af5142bcf · outbound

This paper cites Gaberdiel and Horst G.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Gaberdiel and Horst G

Reference 16

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source=arxiv_source observed=2026-08-15T16:22:36.222219Z digest=sha256:96cd777b76bfef201845bdf21bf3a25b3f82099a20caa54fc85144591d787a4c

Observation 5a084b2c-eb8d-4fef-b02d-ab684bce1341 · outbound

This paper cites Gainutdinov and Ingo Runkel.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Gainutdinov and Ingo Runkel

Reference 17

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.225341Z digest=sha256:d79fb1e3b67ea46f46246a07db2990c485a031e5f170c330a1a55cc142982183

Observation 49806518-6241-4d55-a4b6-9e3b0148d179 · outbound

This paper cites Analytic conformal blocks of C_2 -cofinite vertex operator algebras I : Propagation and dual fusion products.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Analytic conformal blocks of C_2 -cofinite vertex operator algebras I : Propagation and dual fusion products

Reference 18

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source=arxiv_source observed=2026-08-15T16:22:36.228781Z digest=sha256:e7555175be3a9400a2d3794e7a443a84664484ed1878a09f3d20b15c976d6d73

Observation 19eb5db0-f47a-4244-9041-49029346362c · outbound

This paper cites Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Analytic Conformal Blocks of $C_2$-cofinite Vertex Operator Algebras II: Convergence of Sewing and Higher Genus Pseudo-$q$-traces

Reference 19

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source=arxiv_source observed=2026-08-15T16:22:36.231834Z digest=sha256:1f8e8bcda5a409295cbdcea740124768164f9d2fa6a59a0694026e81a2360ef4

Observation c6d00a6b-4c77-41e7-bd76-aa4f3ab41879 · outbound

This paper cites Analytic conformal blocks of C_2 -cofinite vertex operator algebras III : The sewing-factorization theorems.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Analytic conformal blocks of C_2 -cofinite vertex operator algebras III : The sewing-factorization theorems

Reference 20

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source=arxiv_source observed=2026-08-15T16:22:36.235689Z digest=sha256:951ee6c90375315e1285bb04063753c2245158c24842c3adcdebe1d15be1e090

Observation 48286557-076e-418a-b38c-ddcc28995cfc · outbound

This paper cites How are pseudo- q -traces related to (co)ends? arXiv:2508.0453, 2025.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT How are pseudo- q -traces related to (co)ends? arXiv:2508.0453, 2025

Reference 21

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source=arxiv_source observed=2026-08-15T16:22:36.238867Z digest=sha256:8151bd7f0437ca4b6433cf64a3714c08fa1767a50154fd561d18cad4058cd95d

Observation 46533318-d427-41e1-88ba-407a34cea737 · outbound

This paper cites Cofiniteness conditions, projective covers and the logarithmic tensor product theory.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Cofiniteness conditions, projective covers and the logarithmic tensor product theory

Reference 22

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source=arxiv_source observed=2026-08-15T16:22:36.241865Z digest=sha256:5bccab82db28f1d48623a97af9b178707d12efa4e7ff24f8fa9403e8a5c1a100

Observation 1d5103ff-a1c8-486a-ace0-d1bf7a85329b · outbound

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Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Unresolved cited work

Reference 23

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source=arxiv_source observed=2026-08-15T16:22:36.244938Z digest=sha256:5f2ae5667873fb9d4c85c59481cf34aef8632cb7f5d62c4b9a2e474f9b8f6c95

Observation 6f076273-1d23-4039-9f9a-5a02f912b4ee · outbound

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Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Unresolved cited work

Reference 24

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source=arxiv_source observed=2026-08-15T16:22:36.249111Z digest=sha256:a40fb4f59d84f8ac1de3c465530c9b1f2d242b0dbf720504c7a6672facfabd11

Observation 08d8a824-8cc4-4874-90fd-2570cd88ac78 · outbound

This paper cites Symplectic fermions.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Symplectic fermions

Reference 25

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source=arxiv_source observed=2026-08-15T16:22:36.251926Z digest=sha256:cc981d150db8f351e93123b2231275e321fb3f5f1280f7fb9ec8903f2bd6ea22

Observation 8044e484-c2d2-4285-a504-8f3a485bdd0a · outbound

This paper cites Regular representations of vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Regular representations of vertex operator algebras

Reference 26

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source=arxiv_source observed=2026-08-15T16:22:36.255098Z digest=sha256:4738b928dd331f2bbf63ae3ea65c87c3f865f4c8c0e6669bdccb358a7223e0ac

Observation 9257359f-2253-4978-98b0-8f54fa4390cc · outbound

This paper cites Regular representations and $A_{n}(V)$-$A_{m}(V)$ bimodules.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Regular representations and $A_{n}(V)$-$A_{m}(V)$ bimodules

Reference 27

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.258408Z digest=sha256:89ba6e097e38b421e0ce56c7f76b585b9bcae9cd4fa21c223a783ad1c28529d1

Observation 568de0e2-01ba-4a42-8e8f-f5bd1c9fcd28 · outbound

This paper cites Deligne tensor products of categories of modules for vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Deligne tensor products of categories of modules for vertex operator algebras

Reference 28

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no resolver link, observed 2026-08-15T16:22:36.262188Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:22:36.262188Z digest=sha256:a24e6bfac0adc78ee1cc44b9664e49e7b1a2c1cecf38fbb8e21eed9e0465789a

Observation 5408d8b2-946e-4bfb-af44-89cae921b6e1 · outbound

This paper cites Modular invariance of vertex operator algebras satisfying C_2 -cofiniteness.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Modular invariance of vertex operator algebras satisfying C_2 -cofiniteness

Reference 29

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.265745Z digest=sha256:749e99f9f48b793480f72b64055d8d9efa2a023bdd84d480f317f31f9a96806f

Observation ac03d184-44c8-418f-9c0a-eca1427173a2 · outbound

This paper cites Quasi-finite algebras graded by H amiltonian and vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Quasi-finite algebras graded by H amiltonian and vertex operator algebras

Reference 30

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.268783Z digest=sha256:45a300eb4870c3c688dbb6047c81fc3f0a7c9405fb8d7b5f75a36a85574e5681

Observation 0e88b09b-e6c8-43f1-a817-63f5a03e494a · outbound

This paper cites Conformal field theories associated to regular chiral vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Conformal field theories associated to regular chiral vertex operator algebras

Reference 31

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.271922Z digest=sha256:afa95f01d24429136c85970f6523f756bfe4848bce793a4cc0091dbe72c845e3

Observation fa30463d-2692-475e-b83f-24e7061c8e8a · outbound

This paper cites The triplet vertex operator algebra w(p) and the restricted quantum group at root of unity.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT The triplet vertex operator algebra w(p) and the restricted quantum group at root of unity

Reference 32

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.274738Z digest=sha256:5c89cd225109525efdcbac285d44b3939c166159f83c898456d35482946ac52f

Observation 542d166f-a259-440c-962b-6ba84d6836ee · outbound

This paper cites A braided monoidal category for free super-bosons.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT A braided monoidal category for free super-bosons

Reference 33

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-15T16:22:36.277728Z digest=sha256:4fcf58e862ac0d36c621e1f4918edf59337f15fb94ffa15ee51fe0f15aa52924

Observation 11db5b31-b15b-47c1-9eca-195fcd640f16 · outbound

This paper cites Conformal field theory on universal family of stable curves with gauge symmetries.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Conformal field theory on universal family of stable curves with gauge symmetries

Reference 34

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raw_fallback, observed 2026-08-15T16:22:36.631941Z

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.

source=arxiv_source observed=2026-08-15T16:22:36.280647Z digest=sha256:94c40597d22b28cf13f2395583d849bc3470a966c0d6524823a6db4d4eb29384

Observation 041f9c2b-e713-45c2-9792-cae2d1b9737c · outbound

This paper cites The tensor structure on the representation category of the W _p triplet algebra.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT The tensor structure on the representation category of the W _p triplet algebra

Reference 35

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verified fuzzy
raw_fallback, observed 2026-08-15T16:22:36.621350Z

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.

source=arxiv_source observed=2026-08-15T16:22:36.283906Z digest=sha256:e3a86d8f4dc02456f0204e7d44fc5cffb28f7b08b2adc01ce25cc695e841efe7

Observation 83e189a6-e4f3-4e92-a08d-bb1f1cbd68c3 · outbound

This paper cites Introduction to conformal field theory with gauge symmetries.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Introduction to conformal field theory with gauge symmetries

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:22:36.611228Z

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.

source=arxiv_source observed=2026-08-15T16:22:36.287222Z digest=sha256:39238409db0a72c155a695335dea8fdf6cb07ec7f25d841230b97e8e6e088955

Observation b6e87dc8-c332-443a-a029-a7766f7bc5ba · outbound

This paper cites Conformal field theory with gauge symmetry , volume 24 of Fields Institute Monographs.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Conformal field theory with gauge symmetry , volume 24 of Fields Institute Monographs

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:22:36.601027Z

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.

source=arxiv_source observed=2026-08-15T16:22:36.290823Z digest=sha256:023959a06537dece562eeffed166e9750f460ac7210be08b1671d2604ab5f227

Observation 1cb5736b-503f-40af-990e-e2dc24fe47f0 · outbound

This paper cites Global vertex operators on Riemann surfaces.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Global vertex operators on Riemann surfaces

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T16:22:36.588893Z

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.

source=arxiv_source observed=2026-08-15T16:22:36.294147Z digest=sha256:70f36a884cc97faaae865bd2adf026b407ab995e5d4317fec000578f829d3dad

Observation 2b38ed63-d92b-4380-a344-734b71f904e3 · outbound

This paper cites Modular invariance of characters of vertex operator algebras.

Non-Equivalence of Smooth and Nodal Conformal Block Functors in Logarithmic CFT Modular invariance of characters of vertex operator algebras

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-15T16:22:36.297469Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:22:36.297469Z digest=sha256:dad70060ef807c576ca5073fe36f18ad54d8385c69b5953045f8ca3f586a24c1

Pith citing papers

No inbound Pith citation observations are available.