Paper Citation Record · LEDGER

Microscopic study of topological phase transitions: Percolation point of view

As of 17 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

Typed states for the displayed outbound observations.

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

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy0
unresolved44
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.182871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.290928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.496485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: malformed identifier; no resolver link, observed 2026-08-04T03:23:25.584109Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.685880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.844653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:25.953720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.066327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.185949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.369096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites an unresolved cited work.

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

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.472561Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.570226Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.680084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.777894Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:26.899398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.037639Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.132665Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7e40feb-65cb-4df0-8d12-1b77722a2e7b · outbound

This paper cites an unresolved cited work.

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

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.231389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites an unresolved cited work.

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

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.361393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.521636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.632012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites an unresolved cited work.

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

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.681801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites an unresolved cited work.

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

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.872576Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa4233d7-a8c2-44ea-acfd-f35abb29e79c · outbound

This paper cites an unresolved cited work.

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

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:27.988049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.097100Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b95b8bd7-709e-47c9-8e44-19f780ae85cf · outbound

This paper cites an unresolved cited work.

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

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.197101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.313184Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.380854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

This paper cites an unresolved cited work.

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

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.452603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b85912e9-af8b-45ae-89c2-ce5cb332500d · outbound

This paper cites an unresolved cited work.

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

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.514608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.592507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.653585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.723467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b164edb-2c0e-4e3e-a8cc-97ab058e9dc7 · outbound

This paper cites an unresolved cited work.

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

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.818208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a440ac2-4e10-493d-bfc3-ed6425c3eed0 · outbound

This paper cites an unresolved cited work.

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

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:28.919617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ed43f9d-283e-4859-aa46-44f6337392df · outbound

This paper cites an unresolved cited work.

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

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.019195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.097539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9769177-c4aa-4c84-96ed-c38717232c48 · outbound

This paper cites an unresolved cited work.

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

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.200666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.299493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.462252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5599ec12-b0eb-471a-bb49-11f6af073343 · outbound

This paper cites an unresolved cited work.

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

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.570556Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.627656Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.677422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.773174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-04T03:23:29.888704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.