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Paper Citation Record · LEDGER

Symmetry protected topological phases under decoherence

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2210.16323.

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

pith.paper-citation-record.v1
2210.16323 v6

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.748228Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:50:12.414813Z

Reference resolution

0 of 0 outbound references displayed

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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 0b0b057f-2b67-4a7c-9643-49f9b8776f0c · 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 under decoherence

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-24T00:03:39.343458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-24T00:01:18.058415Z digest=sha256:cc43a8cc87c585436bedde7b8152e5cdc2f3de076b18b65fd95347a532fe30da

Observation 89f232fc-935c-41ba-8223-188b33db85bc · 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 under decoherence

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-12T05:43:00.519768Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T05:43:00.519768Z digest=sha256:bba229bce92df66a5d05262be0127fcfaba187ba11bfcf499a171062e62257f4

Observation 24d8ca1d-6c93-4ee1-8ecb-d25e0a48ddfe · inbound

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

Mixed-state phase transitions in spin-Holstein models Symmetry protected topological phases under decoherence

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-11T23:20:59.816320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:20:59.816320Z digest=sha256:eda28fe69c6f1104f8cfbbfbcc45549a02e1a2621874c0a193ddf113bc467328

Observation 7de6e9bb-6915-418e-aa33-6e5f644b4931 · 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 Symmetry protected topological phases under decoherence

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T13:52:00.189825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:52:00.189825Z digest=sha256:d4b6fb99609943f41a2e416f3494ffc0d33773ba11165c160604f4f87ff14494

Observation 9dd07651-bb31-4268-8eea-770acf67be5f · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Symmetry protected topological phases under decoherence

Reference 165

Resolution
unresolved
no resolver link, observed 2026-08-16T04:42:36.748228Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:42:36.748228Z digest=sha256:5607539b3365d4a927b25cea9d076ba1c5983a3124d31e9dc3524de99e6255a2

Observation 4bdb0e82-b2cd-4be1-a08d-95b5e6930d32 · 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 under decoherence

Reference 63

Resolution
unresolved
no resolver link, observed 2026-08-07T04:47:15.054659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:47:15.054659Z digest=sha256:f128a490f8a7330dc1c059124d9d409890bb4060853ad810d6d158c90cc2ab26

Observation 083fbf36-a2ad-4338-b452-5d08ebf6e4c1 · inbound

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

Detection of 2D SPT phases under decoherence Symmetry protected topological phases under decoherence

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-06T21:29:07.502250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:29:07.502250Z digest=sha256:24e24a1c38e19ea7c0eb3f461cdbc4d78e4f8efdb0c012361dd7b0774c31b345

Observation ad2d90e2-d0a3-4fda-9b58-bb0f9a990dd5 · 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 under decoherence

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-06T19:16:50.991327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:16:50.991327Z digest=sha256:bc242544c49e48f6dff31fcaa473974261ef888d06ae5e6b7aa063ed3f9c081e

Observation b996b344-02a7-4310-8e26-950629eba496 · 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 under decoherence

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:41:25.723208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T13:37:19.604351Z digest=sha256:df99d535cf12971d9cfda349409c39670847cc108406627d8a7603b4aed52b3c

Observation 1f2d6ef9-fe35-4587-be9d-67b563077e27 · 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 Symmetry protected topological phases under decoherence

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-18T06:12:25.839995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T06:11:54.266393Z digest=sha256:f8942ac39cce527acb45ae73e3f4e480e83e40c2bc05f2cbe48193b1c69f0b3a

Observation e269a85a-9828-44b6-8f7d-51458683c5b0 · 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 Symmetry protected topological phases under decoherence

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-16T10:20:50.355462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-16T10:20:03.690549Z digest=sha256:cedc8947d208eadbf3ff90b6c68ea6fec03bd1b2585ab26d8b3ec8fd7c79db05

Observation 028395e8-94e6-49fc-beb6-83455a30ac4d · inbound

Strong-to-Weak Spontaneous Symmetry Breaking cites this paper.

Strong-to-Weak Spontaneous Symmetry Breaking Symmetry protected topological phases under decoherence

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T23:36:22.018470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-28T14:16:27.400490Z digest=sha256:d534565d195cb78c3ee8f587b8690310949d3b332047327a065117cba5958f02

Observation f7671948-9d0d-4dcf-80d6-84dfd7df9bb9 · inbound

Fast mixing of all-to-all quantum systems at high temperatures cites this paper.

Fast mixing of all-to-all quantum systems at high temperatures Symmetry protected topological phases under decoherence

Reference 88

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:50:12.416323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-06-25T19:27:33.133993Z digest=sha256:ffab8bb28efc2fe9fe2a58f34c4a8aaa9b6870cc4ca206196867d20eb2a96e1c