Paper Citation Record · LEDGER

Average Symmetry-Protected Topological Phases

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2209.02723.

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

pith.paper-citation-record.v1
2209.02723 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T19:23:25.415696Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T23:27:27.273814Z

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 cd2cdf4d-5535-493e-9749-3fc51af37abc · inbound

Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions cites this paper.

Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions Average Symmetry-Protected Topological Phases

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-05-24T10:24:20.744603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 58f68fd1-0231-4c61-9508-1c7ebfe10eb8 · inbound

Topological Holography for Mixed-State Phases and Phase Transitions cites this paper.

Topological Holography for Mixed-State Phases and Phase Transitions Average Symmetry-Protected Topological Phases

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-06T19:16:50.882935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5f8e777-e979-4198-a1eb-54494a1d15ca · 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 Average Symmetry-Protected Topological Phases

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-18T06:12:25.899742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b29817ce-809b-4c53-98fd-9ecf0cba3e38 · 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 Average Symmetry-Protected Topological Phases

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-16T10:20:50.437870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fc87b6a0-d633-4747-b210-f606ce7c89b5 · inbound

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

Quantum criticality at strong randomness: a lesson from anomaly Average Symmetry-Protected Topological Phases

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T05:27:00.897256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 693e7573-0a4f-4343-b7e0-3c27b965e740 · 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 Average Symmetry-Protected Topological Phases

Reference 67

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T11:43:23.157807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6085f9b8-e8db-4be3-8b9a-f3d9c9820d96 · inbound

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

Microscopic universal theory of symmetry-enriched topological quantum spin liquids Average Symmetry-Protected Topological Phases

Reference 80

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T23:27:27.275445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2ca49050-a235-4602-9401-c6e7a1659ea3 · inbound

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals cites this paper.

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals Average Symmetry-Protected Topological Phases

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-31T20:29:55.660343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1457ddfd-b2c8-4003-aaba-a8ddfcdcd6ef · inbound

Quantized topological invariant of symmetry-projected Gibbs states cites this paper.

Quantized topological invariant of symmetry-projected Gibbs states Average Symmetry-Protected Topological Phases

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-08T19:23:25.415696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.