Paper Citation Record · LEDGER

Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2305.16399.

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

pith.paper-citation-record.v1
2305.16399 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:52:00.226770Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:27:27.360614Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d0fb83d1-9397-498f-bae4-e64d4cca2fef · inbound

Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak cites this paper.

Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-24T00:03:39.247367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 684e9999-7acf-4ee8-b85c-3bcdd4420949 · inbound

Strong and weak symmetries and their spontaneous symmetry breaking in mixed states emerging from the quantum Ising model under multiple decoherence cites this paper.

Strong and weak symmetries and their spontaneous symmetry breaking in mixed states emerging from the quantum Ising model under multiple decoherence Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T13:52:00.226770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7077670d-6852-4895-a7c0-e375e204e2ea · inbound

Intrinsic (Axion) Statistical Topological Insulator cites this paper.

Intrinsic (Axion) Statistical Topological Insulator Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T22:54:59.560911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd3b70e5-a1f6-455e-b7af-cf8496474060 · inbound

Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators cites this paper.

Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 110

Resolution: unresolved; no resolver link, observed 2026-08-07T04:47:15.194157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b6cf7aa-3906-45d2-9be0-94884aeaa6b6 · inbound

Diagnosing 2D symmetry protected topological states via mixed state anomaly cites this paper.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 107

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.678492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1670a6a-e30b-495a-a0bb-861761f37fe6 · inbound

Detection of 2D SPT phases under decoherence cites this paper.

Detection of 2D SPT phases under decoherence Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:04.358643Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d41704a0-cfef-4468-8a0e-93b42623147e · inbound

Mixed-state phases from local reversibility cites this paper.

Mixed-state phases from local reversibility Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T20:44:23.162343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ac8ccc3-7077-4f2d-a9be-65b91eb3cc44 · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.721555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4533118f-2459-4b68-b2ad-8f02218dc753 · inbound

Tensor Network Representations for Intrinsically Mixed-State Topological Orders cites this paper.

Tensor Network Representations for Intrinsically Mixed-State Topological Orders Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T11:26:02.096059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a54746cc-363d-4dfc-bce5-0463ddc0a5d6 · inbound

Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography cites this paper.

Subdimensional Entanglement Entropy: From Geometric-Topological Response to Mixed-State Holography Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-18T06:12:25.790256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 206b5d5e-882d-4c7f-a5c3-5d68f9b70745 · inbound

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond cites this paper.

Resource-Theoretic Quantifiers of Weak and Strong Symmetry Breaking: Strong Entanglement Asymmetry and Beyond Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:20:50.408524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 87aec7f7-e692-40ff-aec9-536cc8680c8b · inbound

Quantum criticality at strong randomness: a lesson from anomaly cites this paper.

Quantum criticality at strong randomness: a lesson from anomaly Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T05:27:00.967285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7bfe77e-6c77-4937-98e4-02bea488f928 · 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 Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 71

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T12:41:03.777975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d691614-995b-4d6d-9917-bc098a7ddfbe · inbound

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

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-02T15:57:26.982687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c46db42-5c26-4baa-861e-a43cc0c83f6a · inbound

Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective cites this paper.

Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 90

Resolution: verified exact; arxiv_id, observed 2026-05-11T19:26:10.419148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 56750545-fa4e-4983-9f1c-a8d0c538971e · inbound

Microscopic universal theory of symmetry-enriched topological quantum spin liquids cites this paper.

Microscopic universal theory of symmetry-enriched topological quantum spin liquids Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic

Reference 81

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T23:27:27.362259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.