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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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  • verified fuzzy27
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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:dba282cf096e3e70eb02e5adfec1e24e7af4de40ccac6625c411212c54156ebb

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:ab51e835396635f8aa2f94a16c8b0b669e362ac2e98cd2ea22cdf07fff484b82

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:d7d355433e912cc2449044e2cc244be14efbb60e2e3886e3d2bbea358c0902a8

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

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source=arxiv_source observed=2026-08-15T16:22:36.179181Z digest=sha256:bc6e4ad0657e3d0d37dcda80f1eca4e316c074c650f2c31c6920f24d75bed989

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=sha256:656e0e167aea82b56f5f0c70b34d40b86895cd311547bc38a7ac8cd2559fe461

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

source=arxiv_source observed=2026-08-15T16:22:36.186385Z digest=sha256:c29fa38684633b9b9409cc25a88a024f01b3262a7f00f8d60a76bfc00d56202b

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:c516cd55c4dca12af8876c95d64a8e4bd4138c5184afff514198931b968cd588

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=sha256:75ca63604cc1396c67869e30d4ab908a5ac4e394eab8fe50aaad2650e09ffaad

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:f89c5d9da92d6c5520d04a112e1f45e98b386aa30add6d5ffbffc094f1be616f

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=sha256:891d2ae33a8390cc6608863e431e624253322c5eca2621ad84d26a205138e4e5

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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source=arxiv_source observed=2026-08-15T16:22:36.204195Z digest=sha256:ca1bbb352445ac1b1a49d515c2200f431447aed0809218f57af9e02ed6e679ea

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=sha256:58d39fc0f7620e5a57db2be23999c5ddbc9666d04fd2e6c060dc03580be5b7f5

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=sha256:92129352de83269c93fd3cf4348c44959d821b19da58319a8c8216bb6b538d55

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=sha256:6f14a8bdfdf4b7a5860a71923c02c1fa07e2202ae460290d70d2e286d3da5921

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=sha256:6a620da5d6365bce0728203f61e1d13904cecd5b7176e1426f232f13ac7083be

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=sha256:5f2a69da58d416f9a392511f8a6505bb09dff25625688446f7e391368b7ece2d

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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source=arxiv_source observed=2026-08-15T16:22:36.225341Z digest=sha256:8f02e8cbe7035472cda649404810395201446bb546be8f436f915ec806425ff2

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:edd132d6e594767c7de41ab0db8e09b274f15c7beb33ffd1bbf0060cf96661ce

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=sha256:56ac5e6af938caafb6044e5a55b08b05d1743d381ae2842bd07e0290c5f6fd5a

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=sha256:56dd3f888e4ca0f496e9e02a57ff0d48022bc624c2ff5a0fb59d44a54fc206d1

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:fd5a53d6090384dfae6b12cea9f978e3742d18d2446eb353dc7428731ee69683

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=sha256:6c799c60f6c2d33f26ecf9fb6eee33ac2cd94061e7d4dca46caae65ad4b49566

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=sha256:7e4ff0530c0f24bdc65f473a7e4597e26ebfe5abe96f5c1a0d0ac454c4e4b220

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=sha256:925468f9f04b97a1b504dd803ff0e0cb1906de3cfff4b041602d6d04b05dd0c2

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=sha256:8319e15b0decc029af4aabf33c1d9b92d82d135476e8649327df3491dcaafcb7

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=sha256:12c39f2647aef83e6619ae0979d5cf9d639d6694a6f3a18b79768bb4bf977397

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=sha256:43082a27d0cc8f2441e562f45dbdb0fb01dc18724a6cc2a8d8a6c9b5368d0ad6

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=sha256:626ef5786081f70ab3cd0ed5c7599ba254925f2e1873fc16ebd9ae5a8e4e465b

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=sha256:5bf7356d785e0f9caf352e0fed7bff592d44a5fd2f291f163151a7f9e48ed433

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=sha256:9927a9acf292a7af5c3c34a4353cafcb0d2642b2654388b79fe7ad1a06c4d6eb

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:bed728e111c6c5624f24ea35a0685c514e4fcf7ef12151daf931b6576489a4d8

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:d62b8b13b63bb10e4fdc270ac2a1afb5c02b88b02c90e9ccb989354b3b58ebfb

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=sha256:18269ac63b2c1f2e05c26c78d20841b5b633a39472c78cb96c28a81d240cd7ec

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=sha256:9d37d8074da7beb3f4c3115a088545850d07c6fa1cc273eef7620bbce58a428c

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

Resolution
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:e3424286cdfde516a06f302f334ed8ffdac40f94064912f4f904a186ff75f9f6

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=sha256:236b7ebab4fa7881667268c03a2e4ddf5667ae8e4c1172f5fc5dfb09f5336d87

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=sha256:7c29767e9b08c693bf6973d3a1a64541bfefd7ed3de32bee50c1b8894ef1a2d6

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=sha256:1f89768733d45409c1971cc9016f8face023f778c8a224cc7afc4e05b633e8c0

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T16:22:36.297469Z digest=sha256:96f2d47bab3fb708cd2ba16384358c12a4cb5c7e91339c1b56ec330e673df450

Pith citing papers

No inbound Pith citation observations are available.