Paper Citation Record · LEDGER

An Algebraic Theory of Gapped Domain Wall Partons

As of 18 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 3 inbound Pith citation observations for arXiv:2506.22544.

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

pith.paper-citation-record.v1
2506.22544 v1

Coverage vector

measured 56 of 56 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T22:12:30.725804Z

measured 59 of 59 standing notices

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:09:08.608053Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T23:54:27.945357Z

Reference resolution

56 of 56 outbound references displayed

verified exact1
verified fuzzy27
unresolved28
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External citation measurements

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Outbound references

Observation 3c30d03a-2180-4e71-8330-a821e2758b4d · outbound

This paper cites The latter Drinfeld center is the category of local modules over a condensable algebra, A ∈ Z(C), and it arises via gauging a corresponding 1-form symmetry in Z(C).

An Algebraic Theory of Gapped Domain Wall Partons The latter Drinfeld center is the category of local modules over a condensable algebra, A ∈ Z(C), and it arises via gauging a corresponding 1-form symmetry in Z(C)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:37.894383Z

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Observation 091f8e0d-c0ad-4598-a871-d760b04ed708 · outbound

This paper cites higher-gauging.

An Algebraic Theory of Gapped Domain Wall Partons higher-gauging

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:37.383242Z

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Observation 4998698d-bd0e-49d4-8852-067428fa88c8 · outbound

This paper cites Amplitudes, Strings and Duality.

An Algebraic Theory of Gapped Domain Wall Partons Amplitudes, Strings and Duality

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:38.054720Z

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Observation 6d995ce7-da0c-4933-bcd3-16bfbe2e3bd0 · outbound

This paper cites transparent.

An Algebraic Theory of Gapped Domain Wall Partons transparent

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:37.641073Z

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Observation 8245fac2-2e92-45f9-b898-d86788ea2d48 · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:37.133350Z

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Observation 48a5a7f8-ee98-4be7-b356-39f28878de1f · outbound

This paper cites It does not require knowing the entropy difference between the parton state, ρn, and the vacuum, ρ1, as in the original reference [3].

An Algebraic Theory of Gapped Domain Wall Partons It does not require knowing the entropy difference between the parton state, ρn, and the vacuum, ρ1, as in the original reference [3]

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:36.896647Z

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Observation 3aa5f4de-8cca-4676-8ae4-e84828be6dab · outbound

This paper cites For M ̸= N, there may not be a vacuum state (or even an Abelian state).

An Algebraic Theory of Gapped Domain Wall Partons For M ̸= N, there may not be a vacuum state (or even an Abelian state)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:36.591835Z

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Observation 3f5be681-d85d-4b62-937d-b5a4d15cde40 · outbound

This paper cites The key formula W D→C × W D→C † = M n∈CN W D→D n , (C3) says that the possible indecomposable bimodule sum- mands are in one-to-one correspondence with the par- ton type.

An Algebraic Theory of Gapped Domain Wall Partons The key formula W D→C × W D→C † = M n∈CN W D→D n , (C3) says that the possible indecomposable bimodule sum- mands are in one-to-one correspondence with the par- ton type

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:36.114052Z

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Observation 68488713-e19e-4b5b-9a44-f864369e3c73 · outbound

This paper cites Cer- tain formulas previously derived within the entangle- ment bootstrap are justified by our algebraic theory.

An Algebraic Theory of Gapped Domain Wall Partons Cer- tain formulas previously derived within the entangle- ment bootstrap are justified by our algebraic theory

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:35.835912Z

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Observation 2b3d0e1c-fcec-4a92-a6ab-15b45fb436f7 · outbound

This paper cites Nonabelions in the fractional quantum Hall effect,.

An Algebraic Theory of Gapped Domain Wall Partons Nonabelions in the fractional quantum Hall effect,

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:35.497909Z

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Observation f16d4c2a-7e5e-43db-819b-6d1414ec168e · outbound

This paper cites Anyons in an exactly solved model and beyond,.

An Algebraic Theory of Gapped Domain Wall Partons Anyons in an exactly solved model and beyond,

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:35.129396Z

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Observation cd2653a1-b4b5-49f3-bff3-0c457e4381f6 · outbound

This paper cites Entanglement bootstrap approach for gapped domain walls.

An Algebraic Theory of Gapped Domain Wall Partons Entanglement bootstrap approach for gapped domain walls

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:26.422950Z

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Observation 77fb1d28-47b7-45f0-a968-bebaf534534b · outbound

This paper cites Fusion rules from entanglement,.

An Algebraic Theory of Gapped Domain Wall Partons Fusion rules from entanglement,

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:34.738061Z

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Observation 94357101-8711-4dcc-8e4f-51edf3fd4467 · outbound

This paper cites Classifying 2D topological phases: mapping ground states to string-nets.

An Algebraic Theory of Gapped Domain Wall Partons Classifying 2D topological phases: mapping ground states to string-nets

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:26.639227Z

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Observation 3d683bc4-d802-45fd-aa51-168abdbbe048 · outbound

This paper cites Remote detectability from entanglement bootstrap I: Kirby's torus trick.

An Algebraic Theory of Gapped Domain Wall Partons Remote detectability from entanglement bootstrap I: Kirby's torus trick

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:26.728624Z

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Observation 70c0bcc1-be46-49b3-a5f5-8fd4d08d21dc · outbound

This paper cites Characterizing topological order by the information convex,.

An Algebraic Theory of Gapped Domain Wall Partons Characterizing topological order by the information convex,

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:34.405943Z

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Observation e9040a2b-fb40-4a9c-8bf8-33de59fb28cf · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:34.191199Z

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Observation b8652df8-3a8a-4f03-9815-dba15d274978 · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:34.048353Z

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

Observation d7774412-9efd-415d-9283-2c048846b4a3 · outbound

This paper cites Models for Gapped Boundaries and Domain Walls,.

An Algebraic Theory of Gapped Domain Wall Partons Models for Gapped Boundaries and Domain Walls,

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:27.124905Z

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Observation bbf3a542-4731-4f1d-88b5-463408a697f0 · outbound

This paper cites Composing topological domain walls and anyon mobility,.

An Algebraic Theory of Gapped Domain Wall Partons Composing topological domain walls and anyon mobility,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.928658Z

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Observation 766038be-8062-4b2a-965a-5c6cfb116889 · outbound

This paper cites Decoherence and the transition from quantum to classical – REVISITED,.

An Algebraic Theory of Gapped Domain Wall Partons Decoherence and the transition from quantum to classical – REVISITED,

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:27.391663Z

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Observation 4df383c1-8e6b-428f-bc14-49a10be15fa9 · outbound

This paper cites Universal quantum computation with gapped boundaries,.

An Algebraic Theory of Gapped Domain Wall Partons Universal quantum computation with gapped boundaries,

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.824972Z

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Observation ef06c218-0694-49b3-b685-107bcb777e5e · outbound

This paper cites Qutrit Toric Code and Parafermions in Trapped Ions.

An Algebraic Theory of Gapped Domain Wall Partons Qutrit Toric Code and Parafermions in Trapped Ions

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:27.569431Z

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Observation 6a407280-39be-42c8-a63c-3ea5f9f11b73 · outbound

This paper cites Digital simulation of projective non-abelian anyons with 68 superconducting qubits,.

An Algebraic Theory of Gapped Domain Wall Partons Digital simulation of projective non-abelian anyons with 68 superconducting qubits,

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.720929Z

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Observation 0399213c-96d8-45c2-b7cf-5a16f49a7b55 · outbound

This paper cites Monoidal 2-structure of bimodule categories,.

An Algebraic Theory of Gapped Domain Wall Partons Monoidal 2-structure of bimodule categories,

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.572048Z

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Observation ec19823c-665d-41f3-994e-94700c98ef0b · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:33.443824Z

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Observation f6e9915a-e14b-4f91-afef-0886ba1cb0c0 · outbound

This paper cites Composing topological domain walls and anyon mobility.

An Algebraic Theory of Gapped Domain Wall Partons Composing topological domain walls and anyon mobility

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:27.993410Z

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Observation 05ac6a0e-5670-49d5-b3c1-dc1fd9060020 · outbound

This paper cites On the structure of the Witt group of braided fusion categories,.

An Algebraic Theory of Gapped Domain Wall Partons On the structure of the Witt group of braided fusion categories,

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.301612Z

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Observation 1bb7804c-597f-4d87-8963-3de5886baf7b · outbound

This paper cites On braided fusion categories I,.

An Algebraic Theory of Gapped Domain Wall Partons On braided fusion categories I,

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.196102Z

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Observation fd9b670b-c17d-4b30-a721-045763544672 · outbound

This paper cites Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States,.

An Algebraic Theory of Gapped Domain Wall Partons Generalized Tube Algebras, Symmetry-Resolved Partition Functions, and Twisted Boundary States,

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:28.260493Z

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Observation fefeda76-6c2b-466b-876f-b388bb2fcac6 · outbound

This paper cites Boundary SymTFT.

An Algebraic Theory of Gapped Domain Wall Partons Boundary SymTFT

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:28.364292Z

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Observation a8675cfa-dcc2-4ec2-b14c-8f50a7136a1a · outbound

This paper cites This counterterm rescales the surface by sχ(Σ) ∈ R and therefore affects the fusion rules and corresponding quantum dimensions.

An Algebraic Theory of Gapped Domain Wall Partons This counterterm rescales the surface by sχ(Σ) ∈ R and therefore affects the fusion rules and corresponding quantum dimensions

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:33.064233Z

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Observation c6848ecf-4a96-40b1-b510-6202aa3f4ba5 · outbound

This paper cites String-net condensation: A physical mechanism for topological phases,.

An Algebraic Theory of Gapped Domain Wall Partons String-net condensation: A physical mechanism for topological phases,

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:32.941796Z

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Observation 9a02ecf3-d9af-4be6-8c60-c28677a59b8e · outbound

This paper cites Protected edge modes without symmetry.

An Algebraic Theory of Gapped Domain Wall Partons Protected edge modes without symmetry

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:28.653298Z

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Observation 9106ff25-19a1-4736-a91e-ea9a22a0c6e4 · outbound

This paper cites Higher central charges and Witt groups.

An Algebraic Theory of Gapped Domain Wall Partons Higher central charges and Witt groups

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:28.748019Z

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Observation 5141f649-304d-487f-b802-69706583934a · outbound

This paper cites Bicategories for boundary conditions and for surface defects in 3-d TFT,.

An Algebraic Theory of Gapped Domain Wall Partons Bicategories for boundary conditions and for surface defects in 3-d TFT,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:32.743545Z

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Observation 56ab87ef-f022-4f73-9cbd-1fa4265aa7c4 · outbound

This paper cites Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions.

An Algebraic Theory of Gapped Domain Wall Partons Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:28.979095Z

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Observation 572debc1-d6cb-415b-b7f5-71185e1cefd8 · outbound

This paper cites On the classification of topological orders.

An Algebraic Theory of Gapped Domain Wall Partons On the classification of topological orders

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.045561Z

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Observation 81125fd2-0536-44ac-be2f-2b457228af6f · outbound

This paper cites Higher condensation theory,.

An Algebraic Theory of Gapped Domain Wall Partons Higher condensation theory,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:32.528739Z

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Observation a571bd9c-295a-44fe-94a6-53fefbdc9d83 · outbound

This paper cites On generalized symmetries and structure of modular categories,.

An Algebraic Theory of Gapped Domain Wall Partons On generalized symmetries and structure of modular categories,

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:32.075466Z

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Observation 5a6a3532-fd57-4477-934f-695dd236f72a · outbound

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

An Algebraic Theory of Gapped Domain Wall Partons An invitation to topological orders and category theory

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.312813Z

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Observation 11bf8c10-5b69-44be-aa8f-f92fa1275aa2 · outbound

This paper cites Lectures on entanglement in quantum field theory.

An Algebraic Theory of Gapped Domain Wall Partons Lectures on entanglement in quantum field theory

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.408615Z

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Unavailable: canonical work link unavailable.

Observation 19d66650-81e7-40a9-b6ee-1d00dc789c76 · outbound

This paper cites In particular, we say a topological order, P, is Witt non-trivial if its corresponding Witt class is non-trivial (i.e., P is not a Drinfeld center).

An Algebraic Theory of Gapped Domain Wall Partons In particular, we say a topological order, P, is Witt non-trivial if its corresponding Witt class is non-trivial (i.e., P is not a Drinfeld center)

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:32.357468Z

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Observation 49408360-a56b-4c7b-9a8f-8e64e1e13f29 · outbound

This paper cites Strict Area Law Entanglement versus Chirality,.

An Algebraic Theory of Gapped Domain Wall Partons Strict Area Law Entanglement versus Chirality,

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.588597Z

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Observation 7cc62cf4-d56f-4b24-afd1-7c037c53e498 · outbound

This paper cites On dualizability of braided tensor categories,.

An Algebraic Theory of Gapped Domain Wall Partons On dualizability of braided tensor categories,

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.632089Z

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Unavailable: canonical work link unavailable.

Observation 357f381e-2b4f-4fcc-8606-dcede6d46d33 · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:32.225650Z

Source-reported events for the cited work

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

Observation b799a9b7-dd05-45c4-9494-eff0d23d3d11 · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

An Algebraic Theory of Gapped Domain Wall Partons Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.829405Z

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Observation 5d8722f6-7708-4c2f-9ea0-8687dfa91513 · outbound

This paper cites Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs.

An Algebraic Theory of Gapped Domain Wall Partons Invertibility of Condensation Defects and Symmetries of 2 + 1d QFTs

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:12:30.966804Z

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Observation aaaeb783-5892-4a6a-a531-79a3df1775df · outbound

This paper cites Higher Gauging and Non-invertible Condensation Defects.

An Algebraic Theory of Gapped Domain Wall Partons Higher Gauging and Non-invertible Condensation Defects

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.974579Z

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Observation bbb1287b-da8c-4d8e-8514-73644ac5ac25 · outbound

This paper cites In particular, we have θℓ = exp πiℓ(ℓ + 1) 2k + 1 , θ ˜ℓ = exp − πi ˜ℓ(˜ℓ + 1) 2k + 1.

An Algebraic Theory of Gapped Domain Wall Partons In particular, we have θℓ = exp πiℓ(ℓ + 1) 2k + 1 , θ ˜ℓ = exp − πi ˜ℓ(˜ℓ + 1) 2k + 1

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:31.919893Z

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

Observation a8501743-39b8-45b6-a5bc-54450e487e8c · outbound

This paper cites Immersed figure-8 annuli and anyons.

An Algebraic Theory of Gapped Domain Wall Partons Immersed figure-8 annuli and anyons

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:30.342944Z

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Observation cbcaa5ad-e560-4a60-b2ee-06bd34189ecb · outbound

This paper cites Such a state will violate axiom A0 of the entanglement bootstrap on the wall, (i.e., δ0 > 0 for Fig.

An Algebraic Theory of Gapped Domain Wall Partons Such a state will violate axiom A0 of the entanglement bootstrap on the wall, (i.e., δ0 > 0 for Fig

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:31.718025Z

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Observation 2e1e3a78-bdfb-43c2-8d79-975e1e0cabc7 · outbound

This paper cites Correspondences of ribbon categories.

An Algebraic Theory of Gapped Domain Wall Partons Correspondences of ribbon categories

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:30.549260Z

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Observation 0354c993-e95f-4b73-9e83-abfad8c4fd14 · outbound

This paper cites Higher central charges and topological boundaries in 2+1-dimensional TQFTs.

An Algebraic Theory of Gapped Domain Wall Partons Higher central charges and topological boundaries in 2+1-dimensional TQFTs

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:30.631550Z

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Observation 2321c206-153e-4a1c-9358-827e5eb5b24c · outbound

This paper cites The Witt group of non-degenerate braided fusion categories,.

An Algebraic Theory of Gapped Domain Wall Partons The Witt group of non-degenerate braided fusion categories,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:31.518945Z

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Observation 6fdc03c8-b73d-4328-8b3d-eaa0895ea876 · outbound

This paper cites an unresolved cited work.

An Algebraic Theory of Gapped Domain Wall Partons Unresolved cited work

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:29.237878Z

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Pith citing papers

Observation 70267e21-ab87-47ae-8755-f6f4f92907ed · inbound

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders cites this paper.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders An Algebraic Theory of Gapped Domain Wall Partons

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:09:08.608053Z

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Observation aeb6eede-b2af-4a73-9ac9-338719f23f8f · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings An Algebraic Theory of Gapped Domain Wall Partons

Reference 200

Resolution: verified exact; arxiv_id, observed 2026-05-21T23:54:27.947452Z

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Observation b6c70eac-cc02-45bd-8ea2-ce6ccc845c17 · inbound

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls cites this paper.

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls An Algebraic Theory of Gapped Domain Wall Partons

Reference 201

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:50:24.808617Z

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