Paper Citation Record · LEDGER

Mixed state topological order: operator algebraic approach

As of 18 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 4 inbound Pith citation observations for arXiv:2501.02398.

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

pith.paper-citation-record.v1
2501.02398 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:21:12.879345Z

measured 34 of 34 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T15:57:25.715871Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T15:19:56.769746Z

Reference resolution

30 of 30 outbound references displayed

verified exact0
verified fuzzy25
unresolved5
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5df51f5b-be56-4c64-9643-bb345e0b388d · outbound

This paper cites Asymptotic abelianness and braided tensor C^* -categories.

Mixed state topological order: operator algebraic approach Asymptotic abelianness and braided tensor C^* -categories

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.194019Z

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 278aacca-7ef4-4c36-846b-f2a9903aabdc · outbound

This paper cites Locality and the structure of particle states.

Mixed state topological order: operator algebraic approach Locality and the structure of particle states

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.183842Z

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

Observation 315a8b19-c2b1-4f75-a93a-c7879d0f326d · outbound

This paper cites C^* -Algebras and Finite-Dimensional Approximations , volume 88.

Mixed state topological order: operator algebraic approach C^* -Algebras and Finite-Dimensional Approximations , volume 88

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.174087Z

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Observation a8850bbb-ef89-4ee3-9c78-2d6815d684b9 · outbound

This paper cites Relative H aag duality for the free field in fock representation.

Mixed state topological order: operator algebraic approach Relative H aag duality for the free field in fock representation

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.164313Z

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Observation f3471aff-bb9d-4c9b-a84a-a6d7a3b73b12 · outbound

This paper cites Classification of phases for mixed states via fast dissipative evolution.

Mixed state topological order: operator algebraic approach Classification of phases for mixed states via fast dissipative evolution

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.154187Z

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Observation 019eb35d-722a-4d1e-826d-d8e2518f9bbf · outbound

This paper cites Local observables and particle statistics I.

Mixed state topological order: operator algebraic approach Local observables and particle statistics I

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.143613Z

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Observation 34eafebd-c1cc-4a5b-b608-ffa968869b3f · outbound

This paper cites Topological quantum memory.

Mixed state topological order: operator algebraic approach Topological quantum memory

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T22:21:12.803656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cf10563-383e-48b9-bcbe-1d7cf0758e46 · outbound

This paper cites Interpolation by type I factors and the flip automorphism.

Mixed state topological order: operator algebraic approach Interpolation by type I factors and the flip automorphism

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.126418Z

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

Observation 17462402-084b-48e6-91e4-8ac1dbc82c55 · outbound

This paper cites Towards a classification of mixed-state topological orders in two dimensions.

Mixed state topological order: operator algebraic approach Towards a classification of mixed-state topological orders in two dimensions

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T22:21:12.810338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4027b45a-7a37-4276-9ed2-f32021f7ec06 · outbound

This paper cites u rg Fr \.

Mixed state topological order: operator algebraic approach u rg Fr \

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.115647Z

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 1c45db75-3b47-411c-bd7b-e0a2a2ef790c · outbound

This paper cites Haag duality for K itaev's quantum double model for abelian groups.

Mixed state topological order: operator algebraic approach Haag duality for K itaev's quantum double model for abelian groups

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.105091Z

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

Observation 8786860b-bb2e-42d4-82df-512d35a31484 · outbound

This paper cites Superselection sectors with braid group statistics and exchange algebras.

Mixed state topological order: operator algebraic approach Superselection sectors with braid group statistics and exchange algebras

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.094680Z

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

Observation 270f2073-1ebc-4ff5-841e-1a151b61951b · outbound

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

Mixed state topological order: operator algebraic approach Anyons in an exactly solved model and beyond

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T22:21:12.822903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f92142b3-fbbb-4654-aed4-762d54b8f9a6 · outbound

This paper cites Generating topological order: no speedup by dissipation.

Mixed state topological order: operator algebraic approach Generating topological order: no speedup by dissipation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.078218Z

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

Observation d33349bc-b918-4f3d-a9c5-f3e928ede265 · outbound

This paper cites Fundamentals of the theory of operator algebras.

Mixed state topological order: operator algebraic approach Fundamentals of the theory of operator algebras

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.068200Z

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

Observation 6454d305-44f7-42c1-a973-6d683fa3e5ee · outbound

This paper cites Detecting topological order at finite temperature using entanglement negativity.

Mixed state topological order: operator algebraic approach Detecting topological order at finite temperature using entanglement negativity

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.058324Z

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Observation c4e2ec27-58fe-402e-995c-ae33780e9905 · outbound

This paper cites Index of subfactors and statistics of quantum fields: II.

Mixed state topological order: operator algebraic approach Index of subfactors and statistics of quantum fields: II

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.048579Z

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

Observation 9c2063ed-0dd1-4a4d-a883-bb375808d946 · outbound

This paper cites Localized endomorphisms in K itaev's toric code on the plane.

Mixed state topological order: operator algebraic approach Localized endomorphisms in K itaev's toric code on the plane

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.039445Z

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 d0e6cdef-ff66-45fb-8440-3d0a58ec5a7c · outbound

This paper cites Haag duality and the distal split property for cones in the toric code.

Mixed state topological order: operator algebraic approach Haag duality and the distal split property for cones in the toric code

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.030151Z

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

Observation f395abd0-01c2-4126-bee0-dc6f529d19ed · outbound

This paper cites Kosaki- L ongo index and classification of charges in 2d quantum spin models.

Mixed state topological order: operator algebraic approach Kosaki- L ongo index and classification of charges in 2d quantum spin models

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.020952Z

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

Observation 8f30ad6d-3440-4be3-bb94-e1b3d4738f12 · outbound

This paper cites Compact quantum groups and their representation categories , volume 20.

Mixed state topological order: operator algebraic approach Compact quantum groups and their representation categories , volume 20

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.011035Z

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

Observation 1fa353d3-b3ee-4ee9-80cc-c50e41915e20 · outbound

This paper cites An H^3(G, T ) -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems.

Mixed state topological order: operator algebraic approach An H^3(G, T ) -valued index of symmetry-protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:13.000651Z

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

Observation a3113205-4613-490a-b936-2f94f813b345 · outbound

This paper cites A derivation of braided C^* -tensor categories from gapped ground states satisfying the approximate H aag duality.

Mixed state topological order: operator algebraic approach A derivation of braided C^* -tensor categories from gapped ground states satisfying the approximate H aag duality

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.990234Z

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

Observation bc03d801-12f0-4bce-a036-27488ab4915e · outbound

This paper cites Boundary states of a bulk gapped ground state in 2-d quantum spin systems.

Mixed state topological order: operator algebraic approach Boundary states of a bulk gapped ground state in 2-d quantum spin systems

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.978854Z

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

Observation 9ed27cdf-98b1-4072-8d54-6dfcf83fccff · outbound

This paper cites A Noisy Approach to Intrinsically Mixed-State Topological Order.

Mixed state topological order: operator algebraic approach A Noisy Approach to Intrinsically Mixed-State Topological Order

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T22:21:12.862224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c739c0db-9226-4b16-bad1-7715aa9b47eb · outbound

This paper cites Lectures on von N eumann algebras.

Mixed state topological order: operator algebraic approach Lectures on von N eumann algebras

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.968910Z

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

Observation f63b0404-de0f-4dff-987c-0630bd1b6bdf · outbound

This paper cites Theory of operator algebras I , volume 124.

Mixed state topological order: operator algebraic approach Theory of operator algebras I , volume 124

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.958398Z

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

Observation 187b3c68-f677-4dd2-9cac-f282c0192987 · outbound

This paper cites Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons.

Mixed state topological order: operator algebraic approach Quantum field theory of many-body systems: From the origin of sound to an origin of light and electrons

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.948334Z

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

Observation e63c7c12-d237-4ab0-915b-7b41471b2379 · outbound

This paper cites A theory of 2+ 1d bosonic topological orders.

Mixed state topological order: operator algebraic approach A theory of 2+ 1d bosonic topological orders

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:21:12.937010Z

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

Observation 18bd084b-57ae-4e4b-8260-695ac45a8ae7 · outbound

This paper cites Colloquium: Zoo of quantum-topological phases of matter.

Mixed state topological order: operator algebraic approach Colloquium: Zoo of quantum-topological phases of matter

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T22:21:12.879345Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation c7f7dd84-d6e5-4b66-ab7a-01fa0ca6eb4d · inbound

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models cites this paper.

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models Mixed state topological order: operator algebraic approach

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:41:03.788598Z

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

Observation e81fa56f-9105-412d-8bd7-a04020413caf · inbound

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models cites this paper.

Exploring Entropic Orders: High Temperature Continuous Symmetry Breaking, Chiral Topological States and Local Commuting Projector Models Mixed state topological order: operator algebraic approach

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-02T15:57:25.715871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da154ad1-4aac-46e2-ae3c-2e8e591b3d20 · inbound

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems cites this paper.

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Mixed state topological order: operator algebraic approach

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-06-29T11:43:23.233588Z

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

Observation be272bf5-1021-43bf-8188-c03005704a80 · inbound

Measures of Chirality in Mixed-State Topological Phases cites this paper.

Measures of Chirality in Mixed-State Topological Phases Mixed state topological order: operator algebraic approach

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-07-04T15:19:56.771632Z

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.