Paper Citation Record · LEDGER

Microscopic study of topological phase transitions: Percolation point of view

As of 15 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.26707.

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

pith.paper-citation-record.v1
2607.26707 v2

Coverage vector

measured 45 of 45 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T03:23:29.888704Z

measured 45 of 45 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

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Reference resolution

45 of 45 outbound references displayed

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Outbound references

Observation c83c9f93-bebb-42e7-90ed-ce91e79a9baf · outbound

This paper cites Explicitly, W rX (γc)≡ Y ℓ∈γc (XX) ℓ,(9) whereγ c is a closed loop on red links and(XX) ℓ stands for theXXoperator on the red linkℓ.

Microscopic study of topological phase transitions: Percolation point of view Explicitly, W rX (γc)≡ Y ℓ∈γc (XX) ℓ,(9) whereγ c is a closed loop on red links and(XX) ℓ stands for theXXoperator on the red linkℓ

Reference 1

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Observation 511da43a-1792-48b6-afdf-f8dc762f8909 · outbound

This paper cites For pure systems, TEE is believed to be a good measure, whereas it includes classical correlation as well for mixed states.

Microscopic study of topological phase transitions: Percolation point of view For pure systems, TEE is believed to be a good measure, whereas it includes classical correlation as well for mixed states

Reference 2

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Observation cb7f1e59-3c5b-4fb7-8f1a-82d3fbcf34a3 · outbound

This paper cites As explained in the main text, we have to specify the shapes of the subsystemsA, B.C.

Microscopic study of topological phase transitions: Percolation point of view As explained in the main text, we have to specify the shapes of the subsystemsA, B.C

Reference 3

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Observation c63e668f-daee-4be8-ad02-711b6812cab9 · outbound

This paper cites 5 and 12 [5, 20].

Microscopic study of topological phase transitions: Percolation point of view 5 and 12 [5, 20]

Reference 4

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Observation 7d8daf17-6cfd-4197-bdae-c5f2018dfddb · outbound

This paper cites Levin and X.-G.

Microscopic study of topological phase transitions: Percolation point of view Levin and X.-G

Reference 5

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Observation da4dedcd-8e12-4fd9-9dda-1097a6b73bc2 · outbound

This paper cites Kitaev and J.

Microscopic study of topological phase transitions: Percolation point of view Kitaev and J

Reference 6

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Observation bf77df21-de82-4a27-a1ef-6706e38f99de · outbound

This paper cites Gaiotto, A.

Microscopic study of topological phase transitions: Percolation point of view Gaiotto, A

Reference 7

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Observation a355e6d6-d8a6-4073-9671-4d34182a0ceb · outbound

This paper cites McGreevy, Generalized symmetries in condensed matter, An- nual Review of Condensed Matter Physics14, 57–82 (2023).

Microscopic study of topological phase transitions: Percolation point of view McGreevy, Generalized symmetries in condensed matter, An- nual Review of Condensed Matter Physics14, 57–82 (2023)

Reference 8

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Observation fb3514d6-b3a7-4b7f-8da1-aeaa46222856 · outbound

This paper cites Kataoka, Y.

Microscopic study of topological phase transitions: Percolation point of view Kataoka, Y

Reference 9

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Observation 4ab24f9c-bfe3-4f00-a69f-ae5f47f541e4 · outbound

This paper cites Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective.

Microscopic study of topological phase transitions: Percolation point of view Decohered color code and emerging mixed toric code by anyon proliferation: Topological entanglement negativity perspective

Reference 10

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Observation d5537c15-de35-43c2-973a-5c568c97bec6 · outbound

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 11

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Observation f24f503c-fce0-44da-9704-09c1ae5ffafd · outbound

This paper cites Kitaev, Fault-tolerant quantum computation by anyons, An- nals of Physics303, 2–30 (2003).

Microscopic study of topological phase transitions: Percolation point of view Kitaev, Fault-tolerant quantum computation by anyons, An- nals of Physics303, 2–30 (2003)

Reference 12

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Observation 71bccdf6-741a-4537-b0b4-952f06a1eea1 · outbound

This paper cites Bombin and M.

Microscopic study of topological phase transitions: Percolation point of view Bombin and M

Reference 13

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Observation c1fa047f-0d86-4ff7-8e03-98dd0d2978c4 · outbound

This paper cites Bombin, R.

Microscopic study of topological phase transitions: Percolation point of view Bombin, R

Reference 14

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Observation 9cd14158-8a7b-4e4f-8491-f1b959662e8a · outbound

This paper cites Bomb ´ın, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics17, 083002 (2015).

Microscopic study of topological phase transitions: Percolation point of view Bomb ´ın, Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes, New Journal of Physics17, 083002 (2015)

Reference 15

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Observation 13ec2aa8-875a-46b7-9b3e-e70a6b5ff5a2 · outbound

This paper cites Yoshida, Topological color code and symmetry-protected topological phases, Phys.

Microscopic study of topological phase transitions: Percolation point of view Yoshida, Topological color code and symmetry-protected topological phases, Phys

Reference 16

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Observation a3aa03fb-7694-4f06-bfec-0283a4b457c5 · outbound

This paper cites Kubica, B.

Microscopic study of topological phase transitions: Percolation point of view Kubica, B

Reference 17

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 18

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Observation 4c665747-26f9-40d6-8345-c7c6cd76b567 · outbound

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 19

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Observation 2942ea35-b21a-4338-8860-8e2bfb901d68 · outbound

This paper cites Sohal and A.

Microscopic study of topological phase transitions: Percolation point of view Sohal and A

Reference 20

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Observation 2f42e9d3-e61e-4563-9c29-c135d8eea059 · outbound

This paper cites Bombin, G.

Microscopic study of topological phase transitions: Percolation point of view Bombin, G

Reference 21

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Observation 79302e7d-ce6e-4f3a-a376-0762b3ca2da7 · outbound

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 22

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Observation 26f9b423-7d19-41c1-99a1-f864a47b911b · outbound

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 23

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 24

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Observation 73671549-4067-4745-b8af-fa359cdf6f25 · outbound

This paper cites Bu ˇca and T.

Microscopic study of topological phase transitions: Percolation point of view Bu ˇca and T

Reference 25

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 26

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Observation 4043b7c1-7cb5-42fe-8443-d2b4bf921982 · outbound

This paper cites de Groot, A.

Microscopic study of topological phase transitions: Percolation point of view de Groot, A

Reference 27

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Observation f8fdde48-af97-4b3a-9bbe-8d7fb4a1bb13 · outbound

This paper cites This comes from the fact Tr(DrX ρD) = 0for anyp, as the decoherence does not expand stabilizer group.

Microscopic study of topological phase transitions: Percolation point of view This comes from the fact Tr(DrX ρD) = 0for anyp, as the decoherence does not expand stabilizer group

Reference 28

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Observation 23b21a77-386a-4674-81b0-d98f5df63514 · outbound

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 29

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 30

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Observation 5b240572-9f67-4160-a531-4b69ce96fcfa · outbound

This paper cites Weinstein, Y.

Microscopic study of topological phase transitions: Percolation point of view Weinstein, Y

Reference 31

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Observation e59a9b4b-246d-4d69-9121-ad75a3102f8f · outbound

This paper cites Entanglement negativity at the critical point of measurement-driven transition.

Microscopic study of topological phase transitions: Percolation point of view Entanglement negativity at the critical point of measurement-driven transition

Reference 32

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Observation 90528969-2b91-4e6c-bff4-ad2278bb8f75 · outbound

This paper cites Sharma, X.

Microscopic study of topological phase transitions: Percolation point of view Sharma, X

Reference 33

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 34

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 35

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 36

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Observation e259c884-0434-4aa9-9024-cd46f6a8ccf5 · outbound

This paper cites Achlioptas, R.

Microscopic study of topological phase transitions: Percolation point of view Achlioptas, R

Reference 37

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 38

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Observation c5af1523-61e4-4087-8d7f-c51706dc839b · outbound

This paper cites ’t Hooft, On the phase transition towards permanent quark confinement, Nuclear Physics B138, 1 (1978).

Microscopic study of topological phase transitions: Percolation point of view ’t Hooft, On the phase transition towards permanent quark confinement, Nuclear Physics B138, 1 (1978)

Reference 39

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Observation b0576a4d-4099-41c9-bad9-260c80f0c981 · outbound

This paper cites Botzung, M.

Microscopic study of topological phase transitions: Percolation point of view Botzung, M

Reference 40

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Microscopic study of topological phase transitions: Percolation point of view Unresolved cited work

Reference 41

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Observation 357b7cf8-a7f8-49b4-982f-5309160c63a2 · outbound

This paper cites Benini, P.

Microscopic study of topological phase transitions: Percolation point of view Benini, P

Reference 42

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Observation d15af9da-ed6c-451f-8cdd-39d52fa59ab6 · outbound

This paper cites Higher-form entanglement asymmetry and topological order.

Microscopic study of topological phase transitions: Percolation point of view Higher-form entanglement asymmetry and topological order

Reference 43

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Observation 0eab957d-f394-4e3c-9975-18550d7e0329 · outbound

This paper cites Benini, E.

Microscopic study of topological phase transitions: Percolation point of view Benini, E

Reference 44

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Observation cfc57bee-1e7c-49d4-aa65-27a7bf47a908 · outbound

This paper cites Yang and C.

Microscopic study of topological phase transitions: Percolation point of view Yang and C

Reference 45

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