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Paper Citation Record · LEDGER

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$

As of 10 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2502.09115.

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

pith.paper-citation-record.v1
2502.09115 v2

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T22:41:43.914114Z

measured 27 of 27 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

27 of 27 outbound references displayed

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External citation measurements

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Outbound references

Observation 683871a6-68a3-4b48-b075-06b0f0e918d2 · outbound

This paper cites Gross, R.D.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Gross, R.D

Reference 1

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0b1dbe2c-73f6-4223-91a1-1d652d42b89e · outbound

This paper cites Weiss,The Effective Potential for the Order Parameter of Gauge Theories at Finite Temperature,Phys.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Weiss,The Effective Potential for the Order Parameter of Gauge Theories at Finite Temperature,Phys

Reference 2

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source=pdf_text observed=2026-08-07T22:41:43.799333Z digest=sha256:c24776e79a6c53c833132334af1294d6d3e679289368f84ebd144ab756223060

Observation 4f9744ff-c038-43c4-a1c6-5972735e3b30 · outbound

This paper cites Witten,Large N Chiral Dynamics,Annals Phys.128 (1980) 363.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Witten,Large N Chiral Dynamics,Annals Phys.128 (1980) 363

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.803820Z digest=sha256:6805c28e1808c85270982ce47cb21b980bbc192b03665e0bb9fb38da2cde078b

Observation cbbbb30e-74ac-480a-b17a-8b869ad9f459 · outbound

This paper cites Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta Dependence In The Large N Limit Of Four-Dimensional Gauge Theories

Reference 4

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source=pdf_text observed=2026-08-07T22:41:43.808778Z digest=sha256:739ea1ae7050fd40d5f6b691ae64ebdbbad99714b2e003ec409e2c3f2c9005c4

Observation b5f736d1-72cf-4d10-b6c5-d5f75f9a0b16 · outbound

This paper cites Notes on Theta Dependence in Holographic Yang-Mills.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Notes on Theta Dependence in Holographic Yang-Mills

Reference 5

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source=pdf_text observed=2026-08-07T22:41:43.813835Z digest=sha256:35b78600f088ecc6faf5f72500b55cfe53e293c61e7d1d02be7b4d445c7f78e5

Observation 5d4ea6dc-0f8b-4a6a-b8bc-66e297677161 · outbound

This paper cites Deconfinement and CP-breaking at $\theta=\pi$ in Yang-Mills theories and a novel phase for SU(2).

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Deconfinement and CP-breaking at $\theta=\pi$ in Yang-Mills theories and a novel phase for SU(2)

Reference 6

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source=pdf_text observed=2026-08-07T22:41:43.818812Z digest=sha256:7dc55f3c866ec7641df79762c5b96a0c25e7f6621007db47d6b71217778cdff0

Observation d3e7575f-4a1b-4096-84c1-fa72363f67f3 · outbound

This paper cites A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ A new technique for solving the freezing problem in the complex Langevin simulation of 4D SU(2) gauge theory with a theta term

Reference 7

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local_arxiv, observed 2026-08-07T22:41:44.261708Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.824031Z digest=sha256:92b22ade7e434f53fbdd734505d378df2f4071dde6a0ea8348e0b7fa8512d3f4

Observation c555d2b8-bb41-4b00-a397-a46ac013e998 · outbound

This paper cites The electric dipole moment of the neutron from 2+1 flavor lattice QCD.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The electric dipole moment of the neutron from 2+1 flavor lattice QCD

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-07T22:41:44.241966Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.828952Z digest=sha256:55a3d56a9c383e203eeabd8d6e2ce8263f9f2ae5e288a98529697477e55b69e7

Observation b4899d7c-e6bd-4e1d-ae93-3e442f95d418 · outbound

This paper cites The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The electric dipole moment of the nucleon from simulations at imaginary vacuum angle theta

Reference 9

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.220011Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.833770Z digest=sha256:9c369c18231dcf39780031669158ec1a21aa17fb15a6decd0c738ec559ce9326

Observation b44c2557-eb2a-4939-968d-d4032307faff · outbound

This paper cites The 4D SU(3) gauge theory with an imaginary theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The 4D SU(3) gauge theory with an imaginary theta term

Reference 10

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.838778Z digest=sha256:4a56be8ffba74ef7abfeed1465135ddbb622a6391defbaedb38a6598d62cb20e

Observation 53ae8925-2e68-4c23-9159-247f771159b0 · outbound

This paper cites Theta dependence of the deconfinement temperature in Yang-Mills theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of the deconfinement temperature in Yang-Mills theories

Reference 11

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source=pdf_text observed=2026-08-07T22:41:43.843015Z digest=sha256:1bf381315835de3cd4227900fdfda88dc03870ff3fe20511a9c80e7238bf8507

Observation d857de51-9e74-42a4-b054-e2076642b589 · outbound

This paper cites Phase diagram of Yang-Mills theories in the presence of a theta term.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Phase diagram of Yang-Mills theories in the presence of a theta term

Reference 12

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source=pdf_text observed=2026-08-07T22:41:43.847371Z digest=sha256:6d18ca462da1d7c2d036ee26e645eb06fc3e7b2dcac93a60f904294972870401

Observation 96220cc2-973e-4f38-aecf-1f55f1ce6414 · outbound

This paper cites $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation

Reference 13

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source=pdf_text observed=2026-08-07T22:41:43.851577Z digest=sha256:e60074a06717efe2a791da4e38d0e575c5ca26436c1b3c65c7fc58aa60bf0e63

Observation 2a5f153c-cf10-48fc-a39c-95b5b663c1fc · outbound

This paper cites $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit

Reference 14

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source=pdf_text observed=2026-08-07T22:41:43.855802Z digest=sha256:03813c9e7f08a55e7c922660d1f39a5160c79365fb24b21c8935f0838d8b522f

Observation 3b977263-ee4e-405a-8135-6158fac2b0f2 · outbound

This paper cites The $\theta$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The $\theta$-dependence of the $\mathrm{SU}(N)$ critical temperature at large $N$

Reference 15

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source=pdf_text observed=2026-08-07T22:41:43.859763Z digest=sha256:805dca22ddd09acf40c12a073aa223af098660b98ce8ca5decf2505892ac4f76

Observation e7467c6f-e9bd-4b43-8dc6-a113f3afc74a · outbound

This paper cites The $\theta$-dependence of the Yang-Mills spectrum from analytic continuation.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ The $\theta$-dependence of the Yang-Mills spectrum from analytic continuation

Reference 16

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source=pdf_text observed=2026-08-07T22:41:43.863853Z digest=sha256:821b05a78a044cb08e8bceaac73fd9a5de6abcfa72d16283e467d4e16d8f9973

Observation 776b6a43-e87d-4cba-8741-b0c9fa2e9c58 · outbound

This paper cites Analytic Smearing of SU(3) Link Variables in Lattice QCD.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Analytic Smearing of SU(3) Link Variables in Lattice QCD

Reference 17

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source=pdf_text observed=2026-08-07T22:41:43.868047Z digest=sha256:b69ea2d0712b93fad7a3eaecf96edeb4154f2f571f740965a27e5ebe9c6990ea

Observation 9d783d37-7ce5-4526-b69a-a5aa6501854e · outbound

This paper cites Theta dependence, sign problems and topological interference.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence, sign problems and topological interference

Reference 18

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.872167Z digest=sha256:da5aeebc2b526ffff14ea8c055b5cade44f3265551739ea35c64daffb79c37e7

Observation a0e3dc04-9f7d-4b01-b747-dd6736389cbd · outbound

This paper cites Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Universal mechanism of (semi-classical) deconfinement and theta-dependence for all simple groups

Reference 19

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.876695Z digest=sha256:efbaa6d4663f4ba234f97776f9a6f12442ca959a40a85eb1572ae1b931f8c734

Observation e622a6b1-bd0c-4e92-b64c-004918e02744 · outbound

This paper cites Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of the deconfining phase transition in pure SU(N_c) Yang-Mills theories

Reference 20

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.058944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.881485Z digest=sha256:597f7b11b1da08767f404ac63899394b9094b04b252a012a3fc82645998d6aa4

Observation 8d8d3d54-7d2a-431f-a2b0-ed4fc044a0b6 · outbound

This paper cites $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of $T_c$ in 4d SU(3) Yang-Mills theory with histogram method and the Lee-Yang zeros in the large $N$ limit

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T22:41:44.038548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.885859Z digest=sha256:6f77bfc8f0510e657e01b9c0468604fbe6dcf558864341f407525c0ffd66fa4e

Observation e0fca28c-0b8e-48fe-af0e-f246a531c3cf · outbound

This paper cites Topological features of the deconfinement transition.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Topological features of the deconfinement transition

Reference 22

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verified exact
local_arxiv, observed 2026-08-07T22:41:44.017103Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.890565Z digest=sha256:fe5ee75e95c421d54bcfc35dd7e98886cc99a0c4acf881998fc6987c9cae7aef

Observation 7da992f3-09f1-4f89-9d30-6341e4a322b3 · outbound

This paper cites Di Vecchia, K.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Di Vecchia, K

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T22:41:44.318713Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T22:41:43.895172Z digest=sha256:781759b8ecd20e0927b8bbc03fb68bd9847eb8911535f5b3c902b4f496996328

Observation 73f9d07c-2cf8-441c-ac7c-cc17e6081275 · outbound

This paper cites Theta dependence of SU(N) gauge theories.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Theta dependence of SU(N) gauge theories

Reference 24

Resolution
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source=pdf_text observed=2026-08-07T22:41:43.899877Z digest=sha256:a784416dd3884b626d7dc2b7c5fe0fc6b9e8e1f11f1c052f4f2a261d853ea3ce

Observation e104e3e1-a5bd-4d3b-a83f-4376ed762f3e · outbound

This paper cites Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Evidence of a CP broken deconfined phase in 4D SU(2) Yang-Mills theory at $\theta =\pi$ from imaginary $\theta$ simulations

Reference 25

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no resolver link, observed 2026-08-07T22:41:43.904769Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.904769Z digest=sha256:10af486e8c300b75187e8f9466513d37f1fafaa3d1c908bf835295bb06d8aa47

Observation 277a72d9-9447-490c-bcf1-e52ee04a58c9 · outbound

This paper cites Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory

Reference 26

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unresolved
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source=pdf_text observed=2026-08-07T22:41:43.909427Z digest=sha256:8edd3d7d3d40a798d16a59228d7463b7c70c9de6163c0c2abf44252966a182b7

Observation 27ade445-2184-447e-b2db-aa32a078f907 · outbound

This paper cites $\theta$ dependence of $T_c$ in SU(2) Yang-Mills theory.

Numerical evidence for a CP broken deconfined phase at $\theta =\pi$ in 4D SU(2) Yang-Mills theory through simulations at imaginary $\theta$ $\theta$ dependence of $T_c$ in SU(2) Yang-Mills theory

Reference 27

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.914114Z digest=sha256:d935c6c9bfd0521aae74882c4ebfd094f54e855bd903bb13a3749bdb565d7a03

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