Paper Citation Record · LEDGER

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization

As of 17 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 1 inbound Pith citation observation for arXiv:2508.08245.

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

pith.paper-citation-record.v1
2508.08245 v1

Coverage vector

measured 56 of 56 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:43:42.173405Z

measured 57 of 57 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:59:33.015088Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T15:59:34.356091Z

Reference resolution

56 of 56 outbound references displayed

verified exact5
verified fuzzy12
unresolved38
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ddd6b9da-df17-40fa-8d38-d92a7981b2be · outbound

This paper cites Wen, Int.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Wen, Int

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:40.912424Z

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Unavailable: canonical work link unavailable.

Observation 06d13556-f59b-427a-a190-bbe38e043a98 · outbound

This paper cites Kitaev, Annals of Physics303, 2 (2003).

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Kitaev, Annals of Physics303, 2 (2003)

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:40.917605Z

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Observation af2cd51b-b807-459b-908f-60fba21129fb · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:40.980650Z

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Observation 72c5440a-534e-4044-86fe-ed95b21fa9ea · outbound

This paper cites Emergent Exclusion Statistics of Fibonacci Anyons in 2D Topological Phases.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Emergent Exclusion Statistics of Fibonacci Anyons in 2D Topological Phases

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:43:42.752082Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a26804f6-d4cb-43fe-ace7-4ad801380197 · outbound

This paper cites A classification of symmetry enriched topological phases with exactly solvable models.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization A classification of symmetry enriched topological phases with exactly solvable models

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:43:42.706871Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 43a3b79f-fbf6-4d10-aa7e-d2b7cf1285cc · outbound

This paper cites Hung and Y.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Hung and Y

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.129325Z

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Observation fdf651ed-493d-44c4-9f38-7c0789cb7d8d · outbound

This paper cites Huang, X.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Huang, X

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:43.304746Z

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Observation 70a7b0ff-b96c-4444-9ff9-b79bd5d074e4 · outbound

This paper cites Chang, M.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Chang, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:43.288663Z

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Observation 086a4a27-d708-44bd-b111-9d99b5c1e19f · outbound

This paper cites Heinrich, F.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Heinrich, F

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:43.272833Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 89217762-ef68-478e-ba1c-32d4f51092f4 · outbound

This paper cites Cheng, Z.-C.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Cheng, Z.-C

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:43.205378Z

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Observation 7f9cdcb2-8aef-4ade-acbd-9d262886fb9d · outbound

This paper cites Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.325644Z

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Observation aece712c-5997-412d-9139-ee55669f7a81 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:43:43.159918Z

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Observation 0d627103-a09b-46ec-8c58-23969c4df0b1 · outbound

This paper cites String-Net Models with $Z_N$ Fusion Algebra.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization String-Net Models with $Z_N$ Fusion Algebra

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.416051Z

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Observation 544c9d57-6107-477d-8501-d0bc47480fed · outbound

This paper cites Kitaev and L.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Kitaev and L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.421321Z

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Observation 950c5ed1-685d-4344-8d98-9f81ba9dc376 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.425912Z

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Observation c0c30e1c-b3a1-481b-bffe-40f9596e86ba · outbound

This paper cites Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Topological quasiparticles and the holographic bulk-edge relation in 2+1D string-net models

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.429794Z

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Observation 507aeae3-aa50-4eff-a3b3-c4a5dec6ec55 · outbound

This paper cites Lin and M.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Lin and M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:43.125613Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1307fa47-52f9-4057-a3ea-681d2f5de52f · outbound

This paper cites Boundary Hamiltonian theory for gapped topological orders.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Boundary Hamiltonian theory for gapped topological orders

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.438301Z

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Observation c8594796-d381-4537-8daa-746f62469a4d · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.443056Z

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Observation 54314d0f-329d-400c-a5cd-8a3272517c76 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:43:43.101717Z

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Observation 218ca8e1-cd26-4e8b-85df-94a4f0631a62 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.452147Z

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Observation 1d2918a4-67b4-45ae-9387-4ad40c94bb3a · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:43:43.077203Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 856966f4-6ac0-49d9-b534-fc9127b2059c · outbound

This paper cites Twisted Quantum Double Model of Topological Phases in Two--Dimension.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Twisted Quantum Double Model of Topological Phases in Two--Dimension

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.460800Z

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Observation 9644b505-3bd6-4a5d-8d62-685c5ec4f83b · outbound

This paper cites Quantum codes on a lattice with boundary.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Quantum codes on a lattice with boundary

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.464782Z

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Observation eb65e43b-cda0-4f74-abc1-6e7b11eb2ac2 · outbound

This paper cites Twisted Quantum Double Model of Topological Orders with Boundaries.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Twisted Quantum Double Model of Topological Orders with Boundaries

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.469661Z

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Observation cdc6c049-15e8-4f68-b0de-82b50b3cb006 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:43:43.061735Z

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Observation 5149f92c-f1a1-48a7-a943-717640a70d30 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.479162Z

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Observation 9b4f6c76-b380-4224-8294-958bea41e0f8 · outbound

This paper cites Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.483496Z

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Observation 06d772bf-cd76-47f5-8906-e6908e5319e0 · outbound

This paper cites Landau-Ginzburg Paradigm of Topological Phases.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Landau-Ginzburg Paradigm of Topological Phases

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.488050Z

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Observation 8341f0dc-46b5-4562-aece-4633befd5d2a · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T17:43:43.034298Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d0d3c3c1-15d2-4ae2-bfad-49febbbef4cc · outbound

This paper cites Müger, Journal of Pure and Applied Algebra180, 81 (2003), arXiv:0111204 [math].

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Müger, Journal of Pure and Applied Algebra180, 81 (2003), arXiv:0111204 [math]

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.552107Z

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Observation 448df1d3-ac6e-4e5e-8f91-7271dba846f3 · outbound

This paper cites Kitaev, Annals of Physics321, 2 (2006).

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Kitaev, Annals of Physics321, 2 (2006)

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.650984Z

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Observation acf96302-9cc9-4eae-a27c-b12b0cf4071f · outbound

This paper cites An invitation to topological orders and category theory.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization An invitation to topological orders and category theory

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.742602Z

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Observation a24ce1cf-b888-43c5-993b-978db76a9d54 · outbound

This paper cites Zhao and Y.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Zhao and Y

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.796763Z

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Observation 552a8b3b-b4ea-4c9b-b29a-3477d5635af8 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 35

Resolution: verified exact; raw_fallback, observed 2026-08-15T17:43:42.436655Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b0e5a206-90e9-4b17-ae0c-4b9470cf9599 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.839069Z

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Observation 7d8623cf-230e-4876-a057-b80e422a54d9 · outbound

This paper cites Barkeshli and X.-g.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Barkeshli and X.-g

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.986628Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 91de843a-1426-4930-ae56-85b733787d5c · outbound

This paper cites Synthetic Topological Degeneracy by Anyon Condensation.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Synthetic Topological Degeneracy by Anyon Condensation

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:43:42.355513Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4a6de903-27a4-4e8a-b1de-dde673eb448f · outbound

This paper cites Hung and Y.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Hung and Y

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.853692Z

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Unavailable: canonical work link unavailable.

Observation dbf9e1e6-84c1-4a9e-b1b5-c6383e3b2660 · outbound

This paper cites Anyon condensation and tensor categories.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Anyon condensation and tensor categories

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.858557Z

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Unavailable: canonical work link unavailable.

Observation 50c6eb30-f1ab-4048-9e87-c46fdd98e69e · outbound

This paper cites You, C.-M.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization You, C.-M

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.949454Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8435cdd4-a7ff-4f63-af68-78d26543c420 · outbound

This paper cites Eliëns, J.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Eliëns, J

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.882578Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c79ac00a-f70e-4761-9ba5-edaa13db02f8 · outbound

This paper cites Wan and C.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Wan and C

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.867706Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5451d6a5-b836-4efa-9eff-486fa622c971 · outbound

This paper cites Neupert, H.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Neupert, H

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.852512Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 10673ae1-f46f-454c-bec8-92caf6ec78b9 · outbound

This paper cites A Classification of (2+1)D Topological Phases with Symmetries.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization A Classification of (2+1)D Topological Phases with Symmetries

Reference 45

Resolution: metadata mismatch; local_arxiv, observed 2026-08-15T17:43:42.319044Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d5fa4279-a30e-4614-8030-344b5cbea821 · outbound

This paper cites Burnell, Annual Review of Condensed Matter Physics9, 307 (2018).

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Burnell, Annual Review of Condensed Matter Physics9, 307 (2018)

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.837285Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fec4e0f5-db34-4ee1-9dd8-3f1876721155 · outbound

This paper cites Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy

Reference 47

Resolution: verified exact; local_arxiv, observed 2026-08-15T17:43:42.297335Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5c804c5c-6cae-478d-b595-2a3c4ea15513 · outbound

This paper cites Fermion condensation and super pivotal categories.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Fermion condensation and super pivotal categories

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.898457Z

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Observation 1cfd0a23-8943-44cf-a4b6-53a3594b6ce0 · outbound

This paper cites Anyon Condensation: Coherent states, Symmetry Enriched Topological Phases, Goldstone Theorem, and Dynamical Rearrangement of Symmetry.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Anyon Condensation: Coherent states, Symmetry Enriched Topological Phases, Goldstone Theorem, and Dynamical Rearrangement of Symmetry

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.903202Z

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Observation 6c3828eb-abc4-46e2-9976-94e0ae02a261 · outbound

This paper cites Anyon condensation in the string-net models.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Anyon condensation in the string-net models

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.929294Z

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Unavailable: canonical work link unavailable.

Observation 8d5a3bf1-954a-44d5-aa70-04bfb9ce49bd · outbound

This paper cites Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Nonabelian Anyon Condensation in 2+1d topological orders: A String-Net Model Realization

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:41.967857Z

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Observation 51cfaa9b-9a36-4750-b740-090d6287b407 · outbound

This paper cites Etingof, S.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Etingof, S

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:42.030941Z

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Unavailable: canonical work link unavailable.

Observation fc731999-bc4a-477c-aa59-ae35ce9ca287 · outbound

This paper cites Chen, Z.-C.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Chen, Z.-C

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T17:43:42.811212Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4bbd0f92-d389-4daa-8492-3a4ba1260c02 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-15T17:43:42.150444Z

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Observation 55300eca-27f4-4c34-8267-300e2e1283a8 · outbound

This paper cites an unresolved cited work.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Unresolved cited work

Reference 55

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This paper cites Topological Defects on the Lattice: Dualities and Degeneracies.

Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization Topological Defects on the Lattice: Dualities and Degeneracies

Reference 56

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Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions cites this paper.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Symmetry-Enriched Topological Phases and Their Gauging: A String-Net Model Realization

Reference 81

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