Paper Citation Record · LEDGER

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2507.10680.

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

pith.paper-citation-record.v1
2507.10680 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:38:22.526338Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T06:30:08.953970Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact6
verified fuzzy2
unresolved23
parse uncertain0
malformed identifier6
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation faaf30e5-0c5d-4c20-8bf4-959e520fd4ac · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:18.449906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d97728d2-c7ff-4bf3-8143-c12acc81a380 · outbound

This paper cites SO(10) grand unification.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ SO(10) grand unification

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:38:26.587369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1c70f9b8-3446-4a48-9f04-d85fccf90e41 · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:18.565217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ebbffc50-4766-46cc-b582-f824f0ab66a4 · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:18.659615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3e44f1f6-185a-444c-bd9a-95cec353f152 · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T17:38:26.372354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ab0fd86a-0720-49f3-b0b9-f27ade1e1331 · outbound

This paper cites Solving the strong CP problem with supersymmetry.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Solving the strong CP problem with supersymmetry

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.078980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c3997ad-2f0a-45f4-9ac0-11e9d3dd90d1 · outbound

This paper cites Solution to the Strong CP Problem: Supersymmetry with Parity.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Solution to the Strong CP Problem: Supersymmetry with Parity

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:18.945868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f22d34fb-b249-4ec7-b0c3-87af879b894b · outbound

This paper cites Modular invariance and the QCD angle.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Modular invariance and the QCD angle

Reference 8

Resolution: malformed identifier; no resolver link, observed 2026-08-06T17:38:19.313854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e22e5edb-4fb4-400e-8300-f19866d7bc2e · outbound

This paper cites Super-Soft CP Violation.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Super-Soft CP Violation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.189205Z

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Unavailable: canonical work link unavailable.

Observation e9c60e47-6aa9-4f4d-838c-5ff0422b5cca · outbound

This paper cites Strominger and Edward Witten.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Strominger and Edward Witten

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T17:38:23.451484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ceeaa3b-de69-407b-87d6-3242b7ab9a64 · outbound

This paper cites Strong CP and Flavor in Multi-Higgs Theories.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Strong CP and Flavor in Multi-Higgs Theories

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:38:24.809647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e4ce4ae7-9310-4953-abef-f1a02b682d6c · outbound

This paper cites Of CP and other Gauge Symmetries in String Theory.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Of CP and other Gauge Symmetries in String Theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.736769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd5c560b-b48b-4bce-8bbf-8c072e0995cc · outbound

This paper cites Is CP a Gauge Symmetry?.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Is CP a Gauge Symmetry?

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.620388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a94d18f6-7e4e-4c31-a297-1baa3d2a4edf · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.892039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf621f67-63e1-47d9-b5d2-e8f144669ebd · outbound

This paper cites Challenges for the Nelson-Barr Mechanism.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Challenges for the Nelson-Barr Mechanism

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.814429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbbfd7dc-3dfb-42d0-880a-42c101c55922 · outbound

This paper cites Quark masses and chiral symmetry.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Quark masses and chiral symmetry

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T17:38:23.106085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 34242e08-d5a2-4b17-966f-52d76484ef36 · outbound

This paper cites Large N Chiral Dynamics.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Large N Chiral Dynamics

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:19.969542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52aad739-b0fa-4e8d-9294-4209a51ff5e7 · outbound

This paper cites Theta, Time Reversal, and Temperature.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Theta, Time Reversal, and Temperature

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.239292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 449c4f2f-131a-49f7-b5da-b7102a00bfdf · outbound

This paper cites QCD at \theta \sim \pi.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ QCD at \theta \sim \pi

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.130828Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cba4370b-f9fe-4061-8c35-2d0d80255ab8 · outbound

This paper cites Parity Conservation in QCD.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Parity Conservation in QCD

Reference 20

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:38:26.078012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 70268300-bbe4-45b1-b66d-cfc5388bd8ec · outbound

This paper cites Time-Reversal Breaking in QCD$_4$, Walls, and Dualities in 2+1 Dimensions.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Time-Reversal Breaking in QCD$_4$, Walls, and Dualities in 2+1 Dimensions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.327155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edcc76e1-752a-4c5c-8cc9-19839cd4b190 · outbound

This paper cites A Property of Electric and Mag- netic Flux in Nonabelian Gauge Theories.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ A Property of Electric and Mag- netic Flux in Nonabelian Gauge Theories

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.626459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb6a1378-4fe4-4ab6-a8f5-d4e4184026f7 · outbound

This paper cites A Colorful Mirror Solution to the Strong CP Problem.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ A Colorful Mirror Solution to the Strong CP Problem

Reference 23

Resolution: malformed identifier; local_arxiv, observed 2026-08-06T17:38:24.434381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69321c69-8b81-4d2c-88d6-46104648a62f · outbound

This paper cites Reading between the lines of four-dimensional gauge theories.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Reading between the lines of four-dimensional gauge theories

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.852454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75a28a6f-37bb-4f86-868a-26aa06f45640 · outbound

This paper cites Some Twisted Selfdual Solutions for the Yang-Mills Equations on a Hypertorus.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Some Twisted Selfdual Solutions for the Yang-Mills Equations on a Hypertorus

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:20.743679Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 200b1436-415f-4dc5-980a-9c54f9ec7217 · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:21.116844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a97ceb77-b36a-4786-912d-107acc00c38d · outbound

This paper cites Line Operators in the Standard Model.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Line Operators in the Standard Model

Reference 27

Resolution: malformed identifier; no resolver link, observed 2026-08-06T17:38:20.993871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29557b15-ba90-430b-9ab6-2b7008ef6721 · outbound

This paper cites The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:21.336917Z

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Unavailable: canonical work link unavailable.

Observation 30e2ac1b-fae5-48c5-9cff-52bc7667a355 · outbound

This paper cites Anomalies in the Space of Coupling Constants and Their Dynamical Applications II.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Anomalies in the Space of Coupling Constants and Their Dynamical Applications II

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:21.210495Z

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Unavailable: canonical work link unavailable.

Observation fd34223f-4c44-4831-8511-33b1de9ef704 · outbound

This paper cites Pati and Abdus Salam.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Pati and Abdus Salam

Reference 30

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:38:25.684252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 470d9c68-9991-4af7-aae2-6cbce14a8b89 · outbound

This paper cites Nonperturbative effects in the Standard Model with gauged 1-form symmetry.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Nonperturbative effects in the Standard Model with gauged 1-form symmetry

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:21.483881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87d9628d-e933-4974-8bf5-500608463a23 · outbound

This paper cites What can solve the Strong CP problem?.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ What can solve the Strong CP problem?

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T17:38:21.969492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e4935817-d0f5-45e8-9110-ffc31e947836 · outbound

This paper cites Dimopoulos and Lawrence J.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Dimopoulos and Lawrence J

Reference 33

Resolution: verified exact; doi, observed 2026-08-06T17:38:22.785243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 826c365c-39e6-4891-ae40-6e8be752e439 · outbound

This paper cites Lectures on Gauge Theory https://www.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Lectures on Gauge Theory https://www

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:38:25.127526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation df01195b-9d61-49ef-ba93-fe3d9de442d6 · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 35

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T17:38:25.403748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f748c8da-754e-46f9-b7f0-a95b8f9fe844 · outbound

This paper cites Parity solves the Strong CP problem.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Parity solves the Strong CP problem

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:38:24.113363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b79519ba-2aaf-4c5e-9e34-3f9ae72211cd · outbound

This paper cites an unresolved cited work.

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ Unresolved cited work

Reference 1991

Resolution: verified exact; doi, observed 2026-08-06T17:38:23.825874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 0eac5f35-20c9-409a-a95e-dac4791ce9ed · inbound

The Minimal High-Quality QCD Axion cites this paper.

The Minimal High-Quality QCD Axion When CP requires $\bar\theta=0$, not $\bar\theta=\pi$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T06:30:08.953970Z

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Unavailable: canonical work link unavailable.