Paper Citation Record · LEDGER

Diagnosing 2D symmetry protected topological states via mixed state anomaly

As of 18 August 2026, this Paper Citation Record lists 100 of 107 outbound references and 5 inbound Pith citation observations for arXiv:2506.13096.

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

pith.paper-citation-record.v1
2506.13096 v1

Coverage vector

measured 100 of 107 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:47:51.655408Z

measured 105 of 105 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:52:07.635227Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T13:18:12.897626Z

Reference resolution

100 of 107 outbound references displayed

verified exact3
verified fuzzy30
unresolved66
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 97c40933-407d-4d3d-9b55-5e7b215c8cf7 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.895684Z

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Observation afcba469-a46e-4b99-8339-2129a39ceb04 · outbound

This paper cites (5) When the system has additional symmetries, the degeneracy D may exceed.

Diagnosing 2D symmetry protected topological states via mixed state anomaly (5) When the system has additional symmetries, the degeneracy D may exceed

Reference 2

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Observation 0d005745-1fa6-4915-9f6d-4013e313bfe2 · outbound

This paper cites Remarkably, in such case, the dominant eigenvectors of the transfer matrix for ρg ∂A carry distinct Z2 quantum numbers, which can UA(g) ¯A (a) OkOj UA(g) ¯A (b) FIG.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Remarkably, in such case, the dominant eigenvectors of the transfer matrix for ρg ∂A carry distinct Z2 quantum numbers, which can UA(g) ¯A (a) OkOj UA(g) ¯A (b) FIG

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.876037Z

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Observation a2842856-cd35-46fe-a798-14c159c2331d · outbound

This paper cites Senthil, Symmetry-protected topological phases of quantum matter, Annu.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Senthil, Symmetry-protected topological phases of quantum matter, Annu

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.948786Z

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Observation 50292f25-a800-4027-a59c-ec5369be3319 · outbound

This paper cites Z4), and then recover the anomalous Z2 action through appropriate projec- tion [ 60, 61].

Diagnosing 2D symmetry protected topological states via mixed state anomaly Z4), and then recover the anomalous Z2 action through appropriate projec- tion [ 60, 61]

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.903391Z

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Observation a64febf1-000b-4f14-849d-68fd4aa44c7b · outbound

This paper cites Explicit calculation yields − ln⟨UX A ð = ln 2 ⋅L∂A − ln(4 cos(πL∂A /3)), (9) with L∂A the length of the boundary.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Explicit calculation yields − ln⟨UX A ð = ln 2 ⋅L∂A − ln(4 cos(πL∂A /3)), (9) with L∂A the length of the boundary

Reference 6

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Observation 34154748-2d46-47fb-949a-d7d6c9a71e28 · outbound

This paper cites Our framework generalizes beyond the previous Lieb-Schultz- Mattis-type anomalies in mixed states [ 32, 72] to encom- pass broader ’t Hooft anomalies.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Our framework generalizes beyond the previous Lieb-Schultz- Mattis-type anomalies in mixed states [ 32, 72] to encom- pass broader ’t Hooft anomalies

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.920987Z

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Observation 95bf3137-58de-4efa-a305-b1f6f457896f · outbound

This paper cites Gu and X.-G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Gu and X.-G

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.926882Z

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Observation d468c78a-88b3-4267-b6d7-9ca8e9404ed5 · outbound

This paper cites Chen, Z.-C.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen, Z.-C

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.933089Z

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Observation 47f31b79-0656-4462-b813-b85c56968fa4 · outbound

This paper cites Chen, Z.-C.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen, Z.-C

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:50.940286Z

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Observation 8ddca5fb-ecb1-4558-be49-afcec2c47e86 · outbound

This paper cites Kawagoe and M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Kawagoe and M

Reference 11

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Observation ae8040ba-8f95-40b5-97aa-ee0326097a0b · outbound

This paper cites Chen, Z.-X.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen, Z.-X

Reference 12

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Observation 55009eee-b2cf-41f7-aa0b-d9b50cd734f7 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 13

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Observation c3711ae2-216a-41eb-bbde-fc495e70d194 · outbound

This paper cites Levin and Z.-C.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Levin and Z.-C

Reference 14

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Observation cbf3b739-80ec-4076-8759-8343bb88283a · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 16

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Observation e1199a3e-a2af-4f2f-b773-cf502f763fd9 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 17

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Observation e17b2c0a-0b05-4e6f-8906-6089cfab47c8 · outbound

This paper cites Bultinck, R.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Bultinck, R

Reference 18

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Observation 8299f4d3-fe0c-43eb-a5ab-301eeaa8fa62 · outbound

This paper cites Ye and J.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Ye and J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.010583Z

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Observation fda76f15-318f-43aa-8384-1d014728dc95 · outbound

This paper cites Wen, Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions, Phys.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wen, Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions, Phys

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.017280Z

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Observation 6d813700-b561-45e9-99c7-f3ac7eae0b20 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.026154Z

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Observation 794e5a1b-ceee-4efc-9082-b56bfd171fe0 · outbound

This paper cites Cheng and Z.-C.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Cheng and Z.-C

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.038079Z

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Observation 8f5cfb43-4a0c-4862-bed8-65433153dfec · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.044209Z

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Observation fba93a61-754c-4b39-a5f6-15a512f21acf · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.051323Z

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Observation 67c282be-287a-4435-9249-96960a994db0 · outbound

This paper cites Pollmann and A.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Pollmann and A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.059523Z

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Observation ec1237da-d7ed-45c6-946b-9dabd6556742 · outbound

This paper cites Shapourian, K.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Shapourian, K

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.066335Z

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Observation ce0a769e-30d5-4113-9def-2ff14028f31a · outbound

This paper cites Shiozaki, H.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Shiozaki, H

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.075796Z

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Observation 7e43797e-678b-4297-ba1b-532e65a8b1d1 · outbound

This paper cites Shiozaki, H.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Shiozaki, H

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.415021Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 3f721cc7-b48d-4c6a-8689-fac3c3f73f89 · outbound

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

Diagnosing 2D symmetry protected topological states via mixed state anomaly Detection of 2D SPT Order with Partial Symmetries

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.091841Z

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Observation abb184cc-ea2b-41f5-9826-51a22628d7ba · outbound

This paper cites Fidkowski and A.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Fidkowski and A

Reference 30

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Observation 2fe5273f-fce6-4ec5-8ad0-92df3c233af9 · outbound

This paper cites Kitaev and J.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Kitaev and J

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.107133Z

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Observation c702f382-42d3-4abe-b84e-6d5ddea9b7fe · outbound

This paper cites Levin and X.-G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Levin and X.-G

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.376003Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bb881fb9-4b47-4fcc-a51c-037b8394dee3 · outbound

This paper cites Li and F.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Li and F

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.119455Z

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Observation 733082fd-be0a-4639-b761-e1f4edb35e8e · outbound

This paper cites Pollmann, A.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Pollmann, A

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.127077Z

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Observation d43c28c5-c0ee-4970-a827-93b30afe45de · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 35

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Observation 18355dc6-4475-424a-9a4d-b4f1de959b0e · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.145617Z

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Observation 618e8575-00dd-469b-9792-828b2efdf06f · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.316994Z

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Observation 4f91e4c3-738a-474b-b66a-7f620dfe7910 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.161779Z

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Observation 1a04b33a-b192-4a65-b3fc-f0d7c6e2135e · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.288653Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 83ebda4c-9400-48aa-88c4-1bcf8cedb20b · outbound

This paper cites Cai and M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Cai and M

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.270167Z

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Observation bbc2fb8b-9e7f-45f6-8eaf-7d5c6e275b7a · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.254287Z

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Observation 2f07115a-040b-4f8b-9235-a93415f3c139 · outbound

This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.190416Z

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Observation f5bf8a26-8cec-48ed-be87-7ed52ad78a5e · outbound

This paper cites Sun, J.-H.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Sun, J.-H

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.234149Z

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Observation 3b3941be-8f24-4ffd-9846-a8128b6a34ce · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.213421Z

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Observation 8d692254-bf10-4c9e-9018-f42a9447ac78 · outbound

This paper cites Huang, X.-Q.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Huang, X.-Q

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.196383Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 97903584-8267-4baf-8413-b95ae278ddb3 · outbound

This paper cites Kawabata, R.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Kawabata, R

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.216513Z

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Observation fb95936f-a31d-4b5b-a23f-dc6587c7eec6 · outbound

This paper cites Wang and L.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wang and L

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.167001Z

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Observation 1f3cdd16-1de0-4899-9c69-3780442d1894 · outbound

This paper cites Hsin, Z.-X.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Hsin, Z.-X

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.148543Z

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Observation 3805374a-6487-4d66-89b7-b556c7036b45 · outbound

This paper cites Huang and S.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Huang and S

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.128614Z

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Observation e983e73b-f036-4a07-91ae-7ea042bcfdce · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 50

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.111686Z

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Observation 6e017824-526e-41e3-be0c-d51eab01aa5c · outbound

This paper cites Zhang, N.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Zhang, N

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.095148Z

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Observation cb541b9c-e3b5-4faf-860f-b3bcf758253a · outbound

This paper cites Chen, H.-H.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen, H.-H

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.079702Z

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Observation b5e49844-086a-4357-abd7-206230d387d2 · outbound

This paper cites Wang, T.-G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wang, T.-G

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.064247Z

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Observation fe8ca0b9-fe07-493c-8f6d-c3cd2109816a · outbound

This paper cites Wu, C.-M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wu, C.-M

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:53.048454Z

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Observation d10190cf-5073-47ae-b18c-a93aa5bc774b · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.029058Z

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Observation d0bb2300-439c-4ea3-8e42-9fc84ecf8949 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 56

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:53.010951Z

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Observation 956e2c45-afd8-4616-ae2a-bb30a77dff9b · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 57

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.990260Z

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Observation 54b8f695-bd9b-4ddf-8aa9-fd0cf7716a19 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.970152Z

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Observation e69900c1-5091-4c7d-88da-6e5597be937d · outbound

This paper cites Cai and M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Cai and M

Reference 59

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:47:52.104517Z

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Observation a49941fb-4346-4231-919e-aa7ec3e2aeeb · outbound

This paper cites Xu and R.-Z.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Xu and R.-Z

Reference 60

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.953048Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 09f7c887-5f39-446b-abc8-2c04c0e70067 · outbound

This paper cites Chen and X.-G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen and X.-G

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.334784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 159fb1ea-8e93-44ea-8a33-ce627b85e346 · outbound

This paper cites Azses, D.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Azses, D

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.933537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 2417c999-3825-4394-8c66-545067b74553 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.910417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation bf943add-93f1-417c-a8f7-760a8219f305 · outbound

This paper cites Eggert and I.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Eggert and I

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.883010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1269d56a-7743-4f78-bb05-a6e210f636a1 · outbound

This paper cites C´ ordova, K.

Diagnosing 2D symmetry protected topological states via mixed state anomaly C´ ordova, K

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.864160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7cebf988-80e7-4b51-8e6b-9cb0b0851557 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.844494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 70b7d996-09ff-445d-9274-6842b952bf67 · outbound

This paper cites Jiang and Y.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Jiang and Y

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.826493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0d0033a9-ae9f-4ce5-afe8-caaab6baafe9 · outbound

This paper cites Wang, X.-G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wang, X.-G

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.809732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 084fe427-1271-4058-83b8-079ad20be004 · outbound

This paper cites Thorngren, A.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Thorngren, A

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.404998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fa626f5-0698-4a30-b914-f696e66b9d99 · outbound

This paper cites Wen and A.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wen and A

Reference 70

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.780168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4fe2447b-480a-483a-9b58-a10a1d6a2ba2 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.764448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7935612d-bf87-45e3-9088-d7fb549262ca · outbound

This paper cites Schuch, I.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Schuch, I

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.435585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 542f681a-8e82-43e0-9272-31f06dfbe2aa · outbound

This paper cites Wang and M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Wang and M

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.735855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 992b465e-3d43-44a0-bdcf-f3d4e5082e2f · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 74

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.718095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 54f3873f-7a90-4ef9-bcb4-31ff46f14d53 · outbound

This paper cites [ 36] proposes a similar mapping be- tween (d +1)-dimensional subsystem SPT states and d- dimensional intrinsic average SPT phases.

Diagnosing 2D symmetry protected topological states via mixed state anomaly [ 36] proposes a similar mapping be- tween (d +1)-dimensional subsystem SPT states and d- dimensional intrinsic average SPT phases

Reference 76

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.702220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c88b678d-10c3-49fa-9b95-1aaffc613e34 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 77

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.686731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 19ca1360-bd04-471a-8ee3-d0f8aa0abe55 · outbound

This paper cites Nonetheless, it is reason- able to argue that the present result remains valid for Z2 charged operators acting on the physical legs in the vicinity of the entanglement cut.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Nonetheless, it is reason- able to argue that the present result remains valid for Z2 charged operators acting on the physical legs in the vicinity of the entanglement cut

Reference 78

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.670564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 01915e82-5dae-44d6-8847-71ab06741e10 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 79

Resolution: verified exact; doi, observed 2026-08-07T00:47:51.726993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 064ce683-c308-4409-8fab-8b5331bbee44 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 80

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.653920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 959eb486-5c37-4176-b04d-44034970c24a · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 81

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.533139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e4e0c6d-0fd7-48ca-8f75-3ae1084cd7be · outbound

This paper cites Bardyn, L.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Bardyn, L

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.539805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c9e9ac6-9bef-4083-9a9a-8827962649de · outbound

This paper cites Altland, M.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Altland, M

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.610508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation c7e5e485-e691-4bdd-9c0f-f124b530b74d · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 84

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.556952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 512d4148-6929-4a82-8b54-272a154f8e8d · outbound

This paper cites Mixed state topological order parameters for symmetry protected fermion matter.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Mixed state topological order parameters for symmetry protected fermion matter

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.562951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee44cbfe-3969-48c4-b78a-a5ec3bf6c087 · outbound

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

Diagnosing 2D symmetry protected topological states via mixed state anomaly Bilayer construction for mixed state phenomena with strong, weak symmetries and symmetry breakings

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.568123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acf59938-a94d-4e13-a30b-b46f69145543 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 87

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.578241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1851da03-8a78-487c-9953-ea702e3611e5 · outbound

This paper cites Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Probing the Topology of Fermionic Gaussian Mixed States with {U(1)} symmetry by Full Counting Statistics

Reference 88

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:47:51.964794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 7846255c-4546-4bed-b686-a06cb62055e8 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.586222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74d31f67-201f-4ed6-a87c-f80ce1bb35ac · outbound

This paper cites Guo and S.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Guo and S

Reference 90

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.544260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 104564e7-e7d9-4eba-9f54-c108a13cb244 · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.597958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 507a2c64-58a6-4f8a-adb3-dba1d9ea217a · outbound

This paper cites Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Entanglement Holography in Quantum Phases via Twisted R\'enyi-N Correlators

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-07T00:47:51.604642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcc56cdd-0b15-410d-91bd-3b92d3e48a83 · outbound

This paper cites double- line.

Diagnosing 2D symmetry protected topological states via mixed state anomaly double- line

Reference 93

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.519813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 29d79b81-f4b1-4115-91ce-2890e846adbf · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 94

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.493151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0671626f-d880-4a0e-87cc-c9f15628280e · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 95

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.468355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5f07831c-0496-4c19-9e59-5c34ed00398f · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 96

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T00:47:52.448538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 0c3b7604-fbd8-4a9b-953e-256a8603e84a · outbound

This paper cites The map φ ∶ N → M encodes the condensation of bound states of m-anyons and λ l/r, while the action of E on N implies that λ l/r is charged under G.

Diagnosing 2D symmetry protected topological states via mixed state anomaly The map φ ∶ N → M encodes the condensation of bound states of m-anyons and λ l/r, while the action of E on N implies that λ l/r is charged under G

Reference 97

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.417947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fc5442e1-42c2-4740-82dd-834c61315f4e · outbound

This paper cites Levin and Z.-C.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Levin and Z.-C

Reference 98

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.395816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ed6a9634-8792-4407-b15e-d874c1257758 · outbound

This paper cites Jiang and Y.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Jiang and Y

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.364353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation fff86460-78ad-4fb0-8f60-6c56da3fb2b4 · outbound

This paper cites Chen, Z.-X.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Chen, Z.-X

Reference 100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.341371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 25728115-96fb-48f9-8f76-eb82dae8f67e · outbound

This paper cites an unresolved cited work.

Diagnosing 2D symmetry protected topological states via mixed state anomaly Unresolved cited work

Reference 101

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:47:52.317099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b4639d1f-a140-4ae9-b27d-6cb76fb053ba · outbound

This paper cites Huebschmann, Crossed n-fold extensions of groups and coh omology, Commentarii Mathematici Helvetici 55, 302 (1980).

Diagnosing 2D symmetry protected topological states via mixed state anomaly Huebschmann, Crossed n-fold extensions of groups and coh omology, Commentarii Mathematici Helvetici 55, 302 (1980)

Reference 102

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:47:52.292478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

Observation a37b4869-6a03-4356-9451-e92c86dfc3f6 · inbound

Sequence-Model-Guided Measurement Selection for Quantum State Learning cites this paper.

Sequence-Model-Guided Measurement Selection for Quantum State Learning Diagnosing 2D symmetry protected topological states via mixed state anomaly

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-06T17:52:07.635227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0f50f04-5a35-4148-aef7-ecf2e5e3f453 · inbound

Anomaly and symmetry-charge flow in mixed states cites this paper.

Anomaly and symmetry-charge flow in mixed states Diagnosing 2D symmetry protected topological states via mixed state anomaly

Reference 30

Resolution: verified exact; arxiv_id, observed 2026-05-11T23:06:13.056874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 299152a4-9a06-4074-91c1-453bb0344fa1 · inbound

Anomaly and symmetry-charge flow in mixed states cites this paper.

Anomaly and symmetry-charge flow in mixed states Diagnosing 2D symmetry protected topological states via mixed state anomaly

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T18:12:37.140191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef4aac2f-51de-4291-a5c3-122549a7aa50 · inbound

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations cites this paper.

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations Diagnosing 2D symmetry protected topological states via mixed state anomaly

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-07-03T13:18:12.899054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 90482d7d-6519-43e6-9446-77ad407a38cb · inbound

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations cites this paper.

From Topological Order to Mixed-State Phases: A Ground-State Probe of Fractionalized Excitations Diagnosing 2D symmetry protected topological states via mixed state anomaly

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-06-30T10:44:37.337709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.