Paper Citation Record · LEDGER

Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2403.16978.

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

pith.paper-citation-record.v1
2403.16978 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:21:18.904555Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T00:03:39.291894Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
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malformed identifier0
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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 df77dbab-13af-45f0-a046-0a8a4a3f3ae8 · 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 Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-24T00:03:39.294062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 554bad22-f6bd-4263-b2c7-3916bc351611 · inbound

Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases cites this paper.

Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-12T05:43:00.553169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6f66573-27be-4f74-8e01-2a3678e510d1 · inbound

Mixed-state phase transitions in spin-Holstein models cites this paper.

Mixed-state phase transitions in spin-Holstein models Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T23:20:59.830854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93c151ba-af4a-4aea-a25d-607a48ed4669 · inbound

Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases cites this paper.

Boundary anomaly detection in two-dimensional subsystem symmetry-protected topological phases Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T18:51:41.333030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9cf1ba9-8b21-4439-971f-ebf01a9e1aa3 · inbound

Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity cites this paper.

Robust Mixed-State Cluster States and Spurious Topological Entanglement Negativity Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T11:21:18.904555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10dc5d9d-9c4a-4ff6-a6d4-249593253eb1 · inbound

Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding cites this paper.

Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T00:47:15.306750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccff6d8c-19aa-439c-9566-170ed1e4c249 · inbound

Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model cites this paper.

Strong-to-weak spontaneous symmetry breaking of higher-form non-invertible symmetries in Kitaev's quantum double model Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 30

Resolution: metadata mismatch; arxiv_id, observed 2026-05-18T13:41:25.740589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b62da3e7-6b61-4443-8b1a-75efb3cf4948 · inbound

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

Quantized topological invariant of symmetry-projected Gibbs states Locally Purified Density Operators for Symmetry-Protected Topological Phases in Mixed States

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-08T19:23:26.039738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.