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Paper Citation Record · LEDGER

Symmetry Protected Topological Phases of Mixed States in the Doubled Space

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2403.13280.

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

pith.paper-citation-record.v1
2403.13280 v3

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 2026-08-15T06:32:42.880941+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:07:04.622687Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-24T00:03:39.236557Z

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 7cb36e9a-29dc-4068-ac67-b5c7d1eb1811 · 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 Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-24T00:03:39.238654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-24T00:01:18.058415Z digest=sha256:f5175041d6b5fe3488173fbc2ff68b5f1d8076f8f617f37776db88a23a7ec8a4

Observation c3f3987a-d7f6-4c6d-a909-7e0e2daedae3 · 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 Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-12T05:43:00.557967Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:43:00.557967Z digest=sha256:986d4bce056e65b09d4d84e5b2dd56d3c269a1c64ee0cadae4983510940fc3f8

Observation 640bcbf8-bd74-4fc5-87bf-66f6e8a9f5c9 · inbound

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

Mixed-state phase transitions in spin-Holstein models Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-11T23:20:59.835822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:20:59.835822Z digest=sha256:cdbed2f0a17e521de864e15c4985826c9ab27659b86ca447becddc389a534667

Observation 8e6d9637-f263-4e6d-bd47-e7f58aa65d1d · 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 Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 109

Resolution
unresolved
no resolver link, observed 2026-08-07T04:47:15.191139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:47:15.191139Z digest=sha256:e6cd4a227ee0d819de7dd247cdeaaad28c130f0efcb4efbacfa7480188142bbd

Observation 6884052d-f164-4e48-83a8-e92870fa6103 · inbound

Mixed-state phases from local reversibility cites this paper.

Mixed-state phases from local reversibility Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T20:44:23.167696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:44:23.167696Z digest=sha256:b06e076ae17dc06553e8bc390c5928d4222ae867f8195258fcdeaa99ac40fb3a

Observation 397dd115-c5e1-45e6-8d9f-b5a0da50aeb5 · inbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.728042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.728042Z digest=sha256:b19d1b0b0afcc94827c542c1e2aa53ff523efe16927bd6f392693a8f0e665f7c

Observation 16b66d5b-5de5-4e1d-a5a3-50dfe71e5cf2 · inbound

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

Topological Holography for Mixed-State Phases and Phase Transitions Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-06T19:16:51.166346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:16:51.166346Z digest=sha256:9cc1edc3644660473cd4300bad0c08c9e2a309deb5b3cbd6768a82b5e431c11d

Observation bbabbdac-6d12-4cf6-9c75-63e588894456 · inbound

Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence cites this paper.

Succession of Ising criticality and its threshold in critical quantum Ising model subject to symmetric decoherence Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-15T17:07:04.622687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:07:04.622687Z digest=sha256:86e7d8576ba349c9d328ed46a966b1012e63bd6f995427c00724dbede19fedc5

Observation a198cd4d-dde0-48a0-9f28-d34886ca7da6 · 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 Symmetry Protected Topological Phases of Mixed States in the Doubled Space

Reference 28

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:41:25.707854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-18T13:37:19.604351Z digest=sha256:6bd3f520a012470dd1f068931926f86aef9a44bc82590e1cfee6a6e6a656ed71