Paper Citation Record · LEDGER

On local fields invariant under the action of topological defects

As of 16 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2505.04316.

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

pith.paper-citation-record.v1
2505.04316 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:41:52.687064Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:45:37.785128Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T04:45:40.942626Z

Reference resolution

31 of 31 outbound references displayed

verified exact3
verified fuzzy7
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c5546d3e-2b5c-49e8-bffc-e2d654504dd2 · outbound

This paper cites $a\times b=c$ in $2+1$D TQFT.

On local fields invariant under the action of topological defects $a\times b=c$ in $2+1$D TQFT

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:41:53.057316Z

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 98b70663-93ac-4824-8b55-f28bfdee5c7b · outbound

This paper cites Defect Lines and Boundary Flows.

On local fields invariant under the action of topological defects Defect Lines and Boundary Flows

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.556403Z

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Observation b6371f66-c6c9-44b6-9dd9-aae731858d9f · outbound

This paper cites Topological Defect Lines and Renormalization Group Flows in Two Dimensions.

On local fields invariant under the action of topological defects Topological Defect Lines and Renormalization Group Flows in Two Dimensions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.561286Z

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Observation 72c8b889-d32b-41ae-95f9-99bf58f90f2a · outbound

This paper cites Gapped Phases with Non-Invertible Symmetries: (1+1)d.

On local fields invariant under the action of topological defects Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.566343Z

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Observation e7d78c1a-4bbf-44a2-890c-60f4e6bfb4ca · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

On local fields invariant under the action of topological defects Categorical Landau Paradigm for Gapped Phases

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.571094Z

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Observation 99bc4c0f-b927-414b-952d-6ce1ef7e3da0 · outbound

This paper cites Bulk flows in Virasoro minimal models with boundaries.

On local fields invariant under the action of topological defects Bulk flows in Virasoro minimal models with boundaries

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.575644Z

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Observation ff26e716-31c6-4b23-8e14-dab0977b924a · outbound

This paper cites Domain Walls for Two-Dimensional Renormalization Group Flows.

On local fields invariant under the action of topological defects Domain Walls for Two-Dimensional Renormalization Group Flows

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.580314Z

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Observation 5f4e4419-d4d9-440a-8759-c752a173dc6d · outbound

This paper cites Symmetries and Strings of Adjoint QCD${}_2$.

On local fields invariant under the action of topological defects Symmetries and Strings of Adjoint QCD${}_2$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.584700Z

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Observation dda29f1c-dc05-491c-b475-2fcfa4e72415 · outbound

This paper cites Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry.

On local fields invariant under the action of topological defects Particle-Soliton Degeneracies from Spontaneously Broken Non-Invertible Symmetry

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.589700Z

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Observation 53927150-dc94-4398-aa55-446c01485d6e · outbound

This paper cites Open topological defects and boundary RG flows.

On local fields invariant under the action of topological defects Open topological defects and boundary RG flows

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.594017Z

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Observation 5191909e-8c90-4f99-8641-6ba2bcc131ac · outbound

This paper cites Infinitely many new renormalization group flows between Virasoro minimal models from non-invertible symmetries.

On local fields invariant under the action of topological defects Infinitely many new renormalization group flows between Virasoro minimal models from non-invertible symmetries

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.598473Z

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Observation 8679d885-ddf9-4e7d-970d-e90ca75dc6c6 · outbound

This paper cites Duality and defects in rational conformal field theory.

On local fields invariant under the action of topological defects Duality and defects in rational conformal field theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.603111Z

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Observation cbed70bf-07c5-4788-be21-2440c258da5d · outbound

This paper cites Non-local conserved charges from defects in perturbed conformal field theory.

On local fields invariant under the action of topological defects Non-local conserved charges from defects in perturbed conformal field theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.607571Z

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Observation 90f22cf9-ec2c-4c02-bd17-03043006075e · outbound

This paper cites Kramers-Wannier duality from conformal defects.

On local fields invariant under the action of topological defects Kramers-Wannier duality from conformal defects

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.611916Z

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Observation b98e349e-845c-4824-b9aa-5fa201ae02c6 · outbound

This paper cites Generalised twisted partition functions.

On local fields invariant under the action of topological defects Generalised twisted partition functions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.616258Z

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Observation 50d3752b-f8b3-46e2-bd88-9d82ff340764 · outbound

This paper cites TFT construction of RCFT correlators I: Partition functions.

On local fields invariant under the action of topological defects TFT construction of RCFT correlators I: Partition functions

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.620817Z

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Observation 0fa6d310-b3b7-412f-817a-1ff41bcdcb4d · outbound

This paper cites TFT construction of RCFT correlators II: Unoriented world sheets.

On local fields invariant under the action of topological defects TFT construction of RCFT correlators II: Unoriented world sheets

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.625199Z

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Observation 1f0283da-ee5e-4705-a10f-43bb0935bbda · outbound

This paper cites TFT construction of RCFT correlators III: Simple currents.

On local fields invariant under the action of topological defects TFT construction of RCFT correlators III: Simple currents

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.629722Z

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Observation 5f3b0153-2d27-46b5-a923-eb99e88d9de3 · outbound

This paper cites TFT construction of RCFT correlators IV: Structure constants and correlation functions.

On local fields invariant under the action of topological defects TFT construction of RCFT correlators IV: Structure constants and correlation functions

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.634148Z

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Observation 7b47980e-1dcb-4fbb-b6b3-bb9c16cb3284 · outbound

This paper cites TFT construction of RCFT correlators V: Proof of modular invariance and factorisation.

On local fields invariant under the action of topological defects TFT construction of RCFT correlators V: Proof of modular invariance and factorisation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.638691Z

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Observation c055a2dc-daf1-4ec1-a1ec-9333dca723c9 · outbound

This paper cites Urichuk and M.

On local fields invariant under the action of topological defects Urichuk and M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.157296Z

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 061cf4f1-50da-45e3-b636-86dc771c90f6 · outbound

This paper cites On fusing matrices associated with conformal boundary conditions.

On local fields invariant under the action of topological defects On fusing matrices associated with conformal boundary conditions

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.647444Z

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Observation 75789d1b-7bea-4d35-b56e-6665d8a6c7b2 · outbound

This paper cites WittenNon-abelian bosonization in two dimensions, Commun.Math.

On local fields invariant under the action of topological defects WittenNon-abelian bosonization in two dimensions, Commun.Math

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.142647Z

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

Observation cbf11779-adce-46a6-ac98-1015e3893bf0 · outbound

This paper cites Knizhnik, A.

On local fields invariant under the action of topological defects Knizhnik, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.128004Z

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

Observation 713a9e4e-3abf-4c20-aa42-1c8f9e0a59a4 · outbound

This paper cites Gepner, E.

On local fields invariant under the action of topological defects Gepner, E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.113222Z

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

Observation 02b837fb-c83a-4d50-afd2-994c22bbcc2a · outbound

This paper cites Schellekens, S.

On local fields invariant under the action of topological defects Schellekens, S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.098740Z

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

Observation 4ef60139-ddf2-406c-8a49-71f85ef7ea58 · outbound

This paper cites Schellekens, S.

On local fields invariant under the action of topological defects Schellekens, S

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.085159Z

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

Observation 49fc4d38-e0d7-4aef-81c9-09123e65a55e · outbound

This paper cites Fuchs,Simple WZW currents, Commun.Math.

On local fields invariant under the action of topological defects Fuchs,Simple WZW currents, Commun.Math

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T23:41:53.071736Z

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

Observation 8b975ef2-730d-4384-94bb-15910121af0c · outbound

This paper cites su(3)k fusion coefficients.

On local fields invariant under the action of topological defects su(3)k fusion coefficients

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:41:52.763554Z

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

Observation e516b637-ea5b-4fc1-8202-7396abd13e28 · outbound

This paper cites A new proof of a formula for the type $A_2$ fusion rules.

On local fields invariant under the action of topological defects A new proof of a formula for the type $A_2$ fusion rules

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-15T23:41:52.742411Z

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

Observation 86a55208-b592-4847-b13d-eab84176f8ad · outbound

This paper cites Representation theory for categorical symmetries.

On local fields invariant under the action of topological defects Representation theory for categorical symmetries

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.687064Z

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Pith citing papers

Observation d68c3f84-8280-4bca-b0ab-8e95cb1f67fa · inbound

Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions cites this paper.

Organizing transitions and their cascades: Generalized symmetry enforcement in massless flows or Higgs transitions On local fields invariant under the action of topological defects

Reference 162

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:45:40.948998Z

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.