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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 8 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 2026-08-08T06:32:00.761636+00:00

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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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raw_fallback, observed 2026-08-07T22:41:44.364954Z

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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=sha256:28afecf18f2d47ca75419f9ae8437649bc74d12b69225aa73007f0469998909e

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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source=pdf_text observed=2026-08-07T22:41:43.803820Z digest=sha256:b24bf6e23581ac4723ba1511ed32b9eb1ebc76cd942401cb256cd88864c9a5b0

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:d90e4420f304227bbdd0fb57ce7dd5c05bd620331347aec3ab8e7ea660d67cad

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=sha256:95541b13bc65098097784a8d0d2938b6559e5df4ae022906b93b14595f430d94

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:e4d3b76d61af9ffdcdf15b1fd0c2983d33f3ecc85c23f8e4a10c8d0f50cdd142

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.824031Z digest=sha256:404bbcd10910f274d58cb655e37e9717331007acf98006c47587561d8207ec56

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.828952Z digest=sha256:87249dd2fa0b802952859568d5ce4c63109841468da28ab4bfc8cd7372905bc2

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.833770Z digest=sha256:0fa2372c73b18407de975ebefc20316174aec85ebb268137455629e6a8cb322c

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=sha256:214d9e5f0d4edf0fb6199a1a0c4f5b233ac0ce438143b3d2ff10708ad3fa8769

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:ac4c56a7f6986df8d81ad3ecaaedd23a77ac0ab5c5fd63970368c73c9b635010

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:baae90d34e10ceb30932091ec642f2b4a34ce6c97d97ad52d581af7cf49beae9

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=sha256:26afd7b59bfdcb4d5bcc9206fc6fd1b0f2b720d4fcca5e70b5f85eec3603509f

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=sha256:789c655f47041cab1a73028f887ca79c3c421e461c4633aa5fe6e14d42ac18a9

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:a913f2e117e15bdeaf78ae2ebc4743835667819467b584c3cbfd15bc6df0f2e1

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=sha256:6261e0602188f4023c62a4510313a7b7b866079fd0f1fb5f415735ebbb8d653f

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=sha256:7937d21ba8b1389e2140907304fc57149e1420e6d2d90d47f86e4815196a94e9

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=sha256:65ab244bbdb41b9983cccf74fb6f729f1f2fc96cc577486bc02649c91e5a97ca

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=sha256:49e24269342336e32dc2033549bc6873183ca61a9a25d0232060e2a8b6cdf315

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

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.881485Z digest=sha256:1fd8979a1a1f3bccca4e7d07025dd9b8831093ec4581c61c51bfe39cc4089621

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.885859Z digest=sha256:6d693cfaf626b9d26fa5ac2248570d43f007d9c8de1bac2139e4604060ee1ff6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.890565Z digest=sha256:d9005583d834915e50f56cef7ea760e79bb8330c6506bae6b52cc26584cdd260

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T22:41:43.895172Z digest=sha256:542fcf84e9dcb7425766d5469036883cb58ee4176eadd662d1460bb02ed91f2b

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

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source=pdf_text observed=2026-08-07T22:41:43.899877Z digest=sha256:a58201451ac3e4eaef513e66c7b49c213bc17c4c67dbc1ebbc7c06fcfcbbd2a6

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.904769Z digest=sha256:72bde814ad8311457ed1a8580003f48ffdf50c509be7e31d4ce12bf51f57c403

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

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.909427Z digest=sha256:154080214a3e6ac3c1fe8afe3ca0d0b7293cbe97ffbe67e670ce5b0d2fdff3ec

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
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T22:41:43.914114Z digest=sha256:8959819e7e90157d9a1f6ef3ea2df4efc9ed4792781dc449b9baa521d11552bb

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