Paper Citation Record · LEDGER

Detection of 2D SPT phases under decoherence

As of 9 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 2 inbound Pith citation observations for arXiv:2507.00127.

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

pith.paper-citation-record.v1
2507.00127 v1

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:29:09.206596Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:29:03.578249Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T23:26:23.416113Z

Reference resolution

44 of 44 outbound references displayed

verified exact4
verified fuzzy14
unresolved24
parse uncertain0
malformed identifier2
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a9b17897-fc58-4d19-9e26-fd4e8a3d7291 · outbound

This paper cites Coser and D.

Detection of 2D SPT phases under decoherence Coser and D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:03.876306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36ed1424-d7d1-452b-86e0-b8615dcbf9c5 · outbound

This paper cites partition functions.

Detection of 2D SPT phases under decoherence partition functions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:15.443249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7adb09b8-dc37-433d-b235-ef23cdd5af0e · outbound

This paper cites de Groot, A.

Detection of 2D SPT phases under decoherence de Groot, A

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:04.095644Z

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Observation ad59b0b0-bc32-4dd9-b47b-982bbfd05672 · outbound

This paper cites Buˇ ca and T.

Detection of 2D SPT phases under decoherence Buˇ ca and T

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:15.022790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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

This paper cites Topological Phases with Average Symmetries: the Decohered, the Disordered, and the Intrinsic.

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

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Observation 46b538c2-ddee-44c9-bb54-4fd0ccac5925 · outbound

This paper cites Ma and C.

Detection of 2D SPT phases under decoherence Ma and C

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:04.229036Z

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Unavailable: canonical work link unavailable.

Observation 2c880ed6-a7f1-45a6-a9f0-026be39264dc · outbound

This paper cites Tensor network formulation of symmetry protected topological phases in mixed states.

Detection of 2D SPT phases under decoherence Tensor network formulation of symmetry protected topological phases in mixed states

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:04.635334Z

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Unavailable: canonical work link unavailable.

Observation 05d137a5-62fb-4421-8310-96877d56eefb · outbound

This paper cites Ma and A.

Detection of 2D SPT phases under decoherence Ma and A

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:14.630103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7db55460-d008-451c-9c6a-bc3c1e45f6da · outbound

This paper cites Mixed-state quantum anomaly and multipartite entanglement.

Detection of 2D SPT phases under decoherence Mixed-state quantum anomaly and multipartite entanglement

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:04.924212Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17359526-6b19-45a7-9a0c-b4cd157c9a0f · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:29:14.261911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2e0c43f8-1a89-4173-8c47-86bf80be204c · outbound

This paper cites Average-exact mixed anomalies and compatible phases.

Detection of 2D SPT phases under decoherence Average-exact mixed anomalies and compatible phases

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:05.240859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1609130-c92d-46f6-8936-a7f820f67483 · outbound

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

Detection of 2D SPT phases under decoherence Detection of 2D SPT phases under decoherence

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:03.578249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 018cec50-3b6b-4464-bfa2-b72d1f987cfc · outbound

This paper cites Wang and L.

Detection of 2D SPT phases under decoherence Wang and L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:14.017905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 591b76b4-a2f8-4f85-87fe-e2724709b364 · outbound

This paper cites Bilayer construction for mixed state phenomena with strong, weak symmetries and symmetry breakings.

Detection of 2D SPT phases under decoherence Bilayer construction for mixed state phenomena with strong, weak symmetries and symmetry breakings

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:05.402915Z

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Unavailable: canonical work link unavailable.

Observation 5b6d37ce-d406-4f98-acc1-fc56797d12c8 · outbound

This paper cites Guo, J.-H.

Detection of 2D SPT phases under decoherence Guo, J.-H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:13.883476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bd3b7d0f-f492-4720-9cde-6fa710691a9b · outbound

This paper cites Zhang, Y.

Detection of 2D SPT phases under decoherence Zhang, Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:05.595052Z

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Unavailable: canonical work link unavailable.

Observation 3356cb2c-b2a0-4177-a5b1-dcf88fc1c387 · outbound

This paper cites Chen and T.

Detection of 2D SPT phases under decoherence Chen and T

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:13.771223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ad75d862-ba72-4d1f-891a-9741b4ade17b · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:29:13.510931Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fb784783-148c-42fb-a0cb-0e909fbcc308 · outbound

This paper cites Guo and Y.

Detection of 2D SPT phases under decoherence Guo and Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:13.203896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 00117d12-f7b0-4c13-8128-4dcece2e7654 · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-06T21:29:10.450484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1dca8d3d-2e56-4b16-b4d9-75b7636ec159 · outbound

This paper cites P´ erez-Garc ´ ıa, M.

Detection of 2D SPT phases under decoherence P´ erez-Garc ´ ıa, M

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:06.223135Z

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Unavailable: canonical work link unavailable.

Observation c6624376-64f1-4e46-a297-14492e984965 · outbound

This paper cites Tantivasadakarn, Dimensional reduction and topological invariants of symmetry-protected topo- logical phases, Physical Review B 96, 10.1103/phys- revb.96.195101 (2017).

Detection of 2D SPT phases under decoherence Tantivasadakarn, Dimensional reduction and topological invariants of symmetry-protected topo- logical phases, Physical Review B 96, 10.1103/phys- revb.96.195101 (2017)

Reference 22

Resolution: malformed identifier; no resolver link, observed 2026-08-06T21:29:06.367080Z

Source-reported events for the cited work

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Observation 8ad8a990-c04b-4b33-acb8-ef902dfea1be · outbound

This paper cites Detection of 2D SPT Order with Partial Symmetries.

Detection of 2D SPT phases under decoherence Detection of 2D SPT Order with Partial Symmetries

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:29:10.021120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3221d559-44d2-4bdf-8b2a-61dd5c6305ab · outbound

This paper cites Chen, Z.-X.

Detection of 2D SPT phases under decoherence Chen, Z.-X

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:06.644071Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a498577-b7c7-404c-8f54-8ea09536af5d · outbound

This paper cites Chen, Z.-C.

Detection of 2D SPT phases under decoherence Chen, Z.-C

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:12.928749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0657a554-c0d6-4489-b72c-32730de011c5 · outbound

This paper cites Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries.

Detection of 2D SPT phases under decoherence Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries

Reference 26

Resolution: malformed identifier; no resolver link, observed 2026-08-06T21:29:06.868977Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 915925ce-86d8-4f9d-8ed7-f5e47b22bd54 · outbound

This paper cites Zhang, N.

Detection of 2D SPT phases under decoherence Zhang, N

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:12.672876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 69fc1926-d229-4ce3-bf28-ce4911ee0002 · outbound

This paper cites Crystalline invariants of fractional Chern insulators.

Detection of 2D SPT phases under decoherence Crystalline invariants of fractional Chern insulators

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:29:09.781297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d9e0f1d7-95a3-40e8-8f80-a533f6672cfc · outbound

This paper cites Kobayashi, T.

Detection of 2D SPT phases under decoherence Kobayashi, T

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:12.403733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 69cdaaa0-a1cf-45c4-aaaa-8002c0dc3cc6 · outbound

This paper cites Topological interactions in broken gauge theories.

Detection of 2D SPT phases under decoherence Topological interactions in broken gauge theories

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:07.360956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites Symmetry protected topological phases under decoherence.

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

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Observation 9b77db68-3dc5-4e5d-8047-aace3ca7c4c2 · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:29:12.165998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 072a74ac-0bb5-4eef-8bfe-a1552c069ecd · outbound

This paper cites Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States.

Detection of 2D SPT phases under decoherence Strong-to-Weak Spontaneous Symmetry Breaking in Mixed Quantum States

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:07.753097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d162fa63-d9e2-43eb-8fc0-231eabb324a4 · outbound

This paper cites Spontaneous Strong Symmetry Breaking in Open Systems: Purification Perspective.

Detection of 2D SPT phases under decoherence Spontaneous Strong Symmetry Breaking in Open Systems: Purification Perspective

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:07.897113Z

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Unavailable: canonical work link unavailable.

Observation 74f15a71-c402-450f-b2ac-ce8ee1a7a014 · outbound

This paper cites Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators.

Detection of 2D SPT phases under decoherence Diagnosing Strong-to-Weak Symmetry Breaking via Wightman Correlators

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:08.003866Z

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Unavailable: canonical work link unavailable.

Observation f136fe7c-1475-4b4c-9d47-0f67801ad362 · outbound

This paper cites Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the R\'enyi-1 Correlator.

Detection of 2D SPT phases under decoherence Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the R\'enyi-1 Correlator

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:08.157073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b678e0a6-d353-4f58-8412-d23831338380 · outbound

This paper cites Elben, B.

Detection of 2D SPT phases under decoherence Elben, B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:11.938986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 47431970-68bf-440d-9dc3-29c7521c2f42 · outbound

This paper cites Elben, J.

Detection of 2D SPT phases under decoherence Elben, J

Reference 38

Resolution: verified exact; doi, observed 2026-08-06T21:29:09.477781Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1f2daf41-38ce-4374-a1a6-5da4235e3faa · outbound

This paper cites Huang, R.

Detection of 2D SPT phases under decoherence Huang, R

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-06T21:29:08.542273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14d8d2f1-d235-43f3-9122-292da46a7adf · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:29:11.700654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f63351c4-8a0c-43f0-8327-5b837553f719 · outbound

This paper cites Elben, S.

Detection of 2D SPT phases under decoherence Elben, S

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:11.558151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 20502b36-5df5-473b-b9cb-e26a350ecb78 · outbound

This paper cites We wish to show that the value ofIg,2 does not depend on the choice of rotation center.

Detection of 2D SPT phases under decoherence We wish to show that the value ofIg,2 does not depend on the choice of rotation center

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:11.282586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2521a576-69de-43f0-b75b-a678d93b3721 · outbound

This paper cites Choosing q = 1/2 results in the mixed state ρ = O p X αa,p |αa,p⟩⟨αa,p|.

Detection of 2D SPT phases under decoherence Choosing q = 1/2 results in the mixed state ρ = O p X αa,p |αa,p⟩⟨αa,p|

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:29:11.064009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 9850d5a9-7d2b-4728-a3e2-02d4747a1ad2 · outbound

This paper cites an unresolved cited work.

Detection of 2D SPT phases under decoherence Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:29:10.839578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation e1609130-c92d-46f6-8936-a7f820f67483 · inbound