Paper Citation Record · LEDGER

Solving the strong CP problem in string-inspired theories with modular invariance

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 5 inbound Pith citation observations for arXiv:2505.20395.

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

pith.paper-citation-record.v1
2505.20395 v2

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:07:41.096371Z

measured 47 of 47 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-02T10:50:33.591669Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T01:09:18.734219Z

Reference resolution

42 of 42 outbound references displayed

verified exact5
verified fuzzy9
unresolved28
parse uncertain0
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metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e5367400-6fed-43ae-b161-9b5d360a1f4d · outbound

This paper cites Modular invariance and the QCD angle.

Solving the strong CP problem in string-inspired theories with modular invariance Modular invariance and the QCD angle

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:37.400557Z

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Observation 2914c3cc-7c2a-4495-90b4-5ea935639482 · outbound

This paper cites Finite modular symmetries and the strong CP problem.

Solving the strong CP problem in string-inspired theories with modular invariance Finite modular symmetries and the strong CP problem

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:37.489761Z

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Observation 23fd1cac-9448-4623-bd5d-b014274f690c · outbound

This paper cites Solving the strong CP problem without axions.

Solving the strong CP problem in string-inspired theories with modular invariance Solving the strong CP problem without axions

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:37.593675Z

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Observation 63c338dc-2cd0-48d5-9917-b94ca4ddf4fc · outbound

This paper cites Kaplunovsky, J.

Solving the strong CP problem in string-inspired theories with modular invariance Kaplunovsky, J

Reference 4

Resolution: verified exact; raw_fallback, observed 2026-08-07T14:07:42.402579Z

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

Observation ce8ce1fb-1a3e-4ea6-87a9-121b81af4abd · outbound

This paper cites Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle.

Solving the strong CP problem in string-inspired theories with modular invariance Solving the Strong CP Problem with Discrete Symmetries and the Right Unitarity Triangle

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:07:42.220833Z

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

Observation 613abd17-3655-4d51-a1f4-8446a6668a91 · outbound

This paper cites Spontaneous CP violation and the strong CP problem.

Solving the strong CP problem in string-inspired theories with modular invariance Spontaneous CP violation and the strong CP problem

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:37.814727Z

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Observation 84bfc45b-bd59-434d-bded-2701a7205028 · outbound

This paper cites Challenges for the Nelson-Barr Mechanism.

Solving the strong CP problem in string-inspired theories with modular invariance Challenges for the Nelson-Barr Mechanism

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:37.920559Z

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Observation 5ac9c7b5-62af-4a6d-b964-e2bea8c1bf36 · outbound

This paper cites The CKM Phase and $\bar\theta$ in Nelson-Barr Models.

Solving the strong CP problem in string-inspired theories with modular invariance The CKM Phase and $\bar\theta$ in Nelson-Barr Models

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.081852Z

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Observation 857fed07-aea4-4602-8ae8-5d25722c1ac2 · outbound

This paper cites Super-Soft CP Violation.

Solving the strong CP problem in string-inspired theories with modular invariance Super-Soft CP Violation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.167112Z

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Observation 0e06f217-251e-4db8-8099-9c4783bcb274 · outbound

This paper cites Spontaneous CP violation in Supersymmetric QCD.

Solving the strong CP problem in string-inspired theories with modular invariance Spontaneous CP violation in Supersymmetric QCD

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.291746Z

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Observation b1e4d724-76a3-4a4f-acaa-0d9d68bae6ed · outbound

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

Solving the strong CP problem in string-inspired theories with modular invariance Strong CP and Flavor in Multi-Higgs Theories

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.381181Z

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Observation 4f40c087-d7b1-482a-8733-48f6104005a4 · outbound

This paper cites Ferro-Hernandez, S.

Solving the strong CP problem in string-inspired theories with modular invariance Ferro-Hernandez, S

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.473479Z

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Observation 8c003fc9-e686-436b-890e-91145a585902 · outbound

This paper cites Three-zero texture of quark-mass matrices as a solution to the strong CP problem.

Solving the strong CP problem in string-inspired theories with modular invariance Three-zero texture of quark-mass matrices as a solution to the strong CP problem

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:07:41.848647Z

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

Observation 342aa7ff-8476-4c54-9d51-6a4a88953cfe · outbound

This paper cites Non-invertible symmetry as an axion-less solution to the strong CP problem.

Solving the strong CP problem in string-inspired theories with modular invariance Non-invertible symmetry as an axion-less solution to the strong CP problem

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.678147Z

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Unavailable: canonical work link unavailable.

Observation a128c37f-e1e4-4fc0-85fc-1968692b9b27 · outbound

This paper cites Spontaneous CP violation and partially broken modular flavor symmetries.

Solving the strong CP problem in string-inspired theories with modular invariance Spontaneous CP violation and partially broken modular flavor symmetries

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.800364Z

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Observation f2f772a2-6a34-4192-bb49-4c2b65d2bf59 · outbound

This paper cites Generalised CP Symmetry in Modular-Invariant Models of Flavour.

Solving the strong CP problem in string-inspired theories with modular invariance Generalised CP Symmetry in Modular-Invariant Models of Flavour

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.895645Z

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Observation 45084e55-4d7c-4849-89c4-ae6c770780b0 · outbound

This paper cites On the Geometry of the String Landscape and the Swampland.

Solving the strong CP problem in string-inspired theories with modular invariance On the Geometry of the String Landscape and the Swampland

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:38.988686Z

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Observation bcf773d1-c433-421c-aa0b-dac30fae36a8 · outbound

This paper cites Modular Symmetries and the Swampland Conjectures.

Solving the strong CP problem in string-inspired theories with modular invariance Modular Symmetries and the Swampland Conjectures

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:39.077384Z

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Observation e25be2c3-4988-4426-a478-e7dfa4d261dc · outbound

This paper cites Ferrara, C.

Solving the strong CP problem in string-inspired theories with modular invariance Ferrara, C

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:44.332603Z

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 0d6aa5f7-9c25-4be8-a85a-e8ba531c67e9 · outbound

This paper cites Running quark and lepton parameters at various scales.

Solving the strong CP problem in string-inspired theories with modular invariance Running quark and lepton parameters at various scales

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:39.260631Z

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Observation 70b2e85d-9264-4009-871f-3962f969e6b4 · outbound

This paper cites Neutrino masses and mixing: Entering the era of subpercent precision.

Solving the strong CP problem in string-inspired theories with modular invariance Neutrino masses and mixing: Entering the era of subpercent precision

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:39.360388Z

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Observation 85dfbf11-46c1-42d7-b214-d11d897dc563 · outbound

This paper cites Interplay and Correlations Between Quark and Lepton Observables in Modular Symmetry Models.

Solving the strong CP problem in string-inspired theories with modular invariance Interplay and Correlations Between Quark and Lepton Observables in Modular Symmetry Models

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:07:41.571114Z

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

Observation f2b0d68c-f183-4db0-804e-cee1ba2a979c · outbound

This paper cites Konishi, K.

Solving the strong CP problem in string-inspired theories with modular invariance Konishi, K

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:44.029091Z

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 dba1bf24-101b-46f0-a428-127ecf9e1398 · outbound

This paper cites Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories.

Solving the strong CP problem in string-inspired theories with modular invariance Holomorphy, Rescaling Anomalies and Exact beta Functions in Supersymmetric Gauge Theories

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:39.620036Z

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Unavailable: canonical work link unavailable.

Observation e11503f7-22b3-4f31-a5a7-6eab5b15a1f1 · outbound

This paper cites Shifman, A.I.

Solving the strong CP problem in string-inspired theories with modular invariance Shifman, A.I

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:43.736669Z

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

Observation 438286cc-9962-41f9-b109-cbb30885ab69 · outbound

This paper cites Novikov, M.A.

Solving the strong CP problem in string-inspired theories with modular invariance Novikov, M.A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:43.459525Z

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

Observation c66763fd-18c7-484e-a30d-1c5173988ea6 · outbound

This paper cites Novikov, M.A.

Solving the strong CP problem in string-inspired theories with modular invariance Novikov, M.A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:43.220407Z

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

Observation 15d008ac-5c1d-4d80-96c1-722f68c31611 · outbound

This paper cites Gauge Coupling Running in Minimal SU(3)xSU(2)xU(1) Superstring Unification.

Solving the strong CP problem in string-inspired theories with modular invariance Gauge Coupling Running in Minimal SU(3)xSU(2)xU(1) Superstring Unification

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:07:41.414579Z

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

Observation c5e39ca2-fe0c-40d5-a3ce-c2aebf744fc2 · outbound

This paper cites Derendinger, S.

Solving the strong CP problem in string-inspired theories with modular invariance Derendinger, S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:43.053826Z

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

Observation 907e6514-f43b-4d25-b319-4f63e83180c7 · outbound

This paper cites Ferrara, N.

Solving the strong CP problem in string-inspired theories with modular invariance Ferrara, N

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:42.801225Z

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 4b99cec3-5c61-4994-937f-5b1c925c226e · outbound

This paper cites Dixon, V.

Solving the strong CP problem in string-inspired theories with modular invariance Dixon, V

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:42.705095Z

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 8b865b6d-4b76-4698-bfef-e646c37281e1 · outbound

This paper cites Field Dependent Gauge Couplings in Locally Supersymmetric Effective Quantum Field Theories.

Solving the strong CP problem in string-inspired theories with modular invariance Field Dependent Gauge Couplings in Locally Supersymmetric Effective Quantum Field Theories

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.386203Z

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Observation 7583f4bd-42ec-406d-a0ba-626293f20f8b · outbound

This paper cites String Theory and the Path to Unification: A Review of Recent Developments.

Solving the strong CP problem in string-inspired theories with modular invariance String Theory and the Path to Unification: A Review of Recent Developments

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.438689Z

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Observation e516634d-bd5c-4028-b821-6ad4d80f0000 · outbound

This paper cites Grand Unification at Intermediate Mass Scales through Extra Dimensions.

Solving the strong CP problem in string-inspired theories with modular invariance Grand Unification at Intermediate Mass Scales through Extra Dimensions

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.500289Z

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Observation f34b4935-7632-45e6-9164-fe898bb78033 · outbound

This paper cites Cvetic, A.

Solving the strong CP problem in string-inspired theories with modular invariance Cvetic, A

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:07:42.558176Z

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 65fd8007-fded-48b3-9300-69f540e62321 · outbound

This paper cites Modular Flavour Symmetries and Modulus Stabilisation.

Solving the strong CP problem in string-inspired theories with modular invariance Modular Flavour Symmetries and Modulus Stabilisation

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.688785Z

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Unavailable: canonical work link unavailable.

Observation fdc52ce8-2aa6-4d73-a3c6-99aa87e7121d · outbound

This paper cites Heterotic de Sitter Beyond Modular Symmetry.

Solving the strong CP problem in string-inspired theories with modular invariance Heterotic de Sitter Beyond Modular Symmetry

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.732007Z

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Observation 6c87568d-3ac4-43c3-8689-92e04e70d3ee · outbound

This paper cites A Vacuum Accumulation Solution to the Strong CP Problem.

Solving the strong CP problem in string-inspired theories with modular invariance A Vacuum Accumulation Solution to the Strong CP Problem

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.763101Z

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Unavailable: canonical work link unavailable.

Observation db52b8b8-2ec6-4c2a-bf67-0331d7b20fd5 · outbound

This paper cites Solving the strong CP problem with supersymmetry.

Solving the strong CP problem in string-inspired theories with modular invariance Solving the strong CP problem with supersymmetry

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.852715Z

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Unavailable: canonical work link unavailable.

Observation 5bdadde4-3e99-401d-834b-fba2fe7400a7 · outbound

This paper cites Strong-weak CP hierarchy from non-renormalization theorems.

Solving the strong CP problem in string-inspired theories with modular invariance Strong-weak CP hierarchy from non-renormalization theorems

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:40.940596Z

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Unavailable: canonical work link unavailable.

Observation 3b088711-ff13-46bd-8589-756a7698015d · outbound

This paper cites Threshold Corrections to Gauge Couplings in Orbifold Compactifications.

Solving the strong CP problem in string-inspired theories with modular invariance Threshold Corrections to Gauge Couplings in Orbifold Compactifications

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:41.025930Z

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Unavailable: canonical work link unavailable.

Observation c608bf8b-3684-4fe3-80fb-e132b0776bff · outbound

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

Solving the strong CP problem in string-inspired theories with modular invariance What can solve the Strong CP problem?

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T14:07:41.096371Z

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Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4a533bcd-d14d-4a5e-b3d7-aed67df52deb · inbound

Exploring the Landscape of Spontaneous CP Violation in Supersymmetric Theories cites this paper.

Exploring the Landscape of Spontaneous CP Violation in Supersymmetric Theories Solving the strong CP problem in string-inspired theories with modular invariance

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-18T04:52:23.282553Z

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 8bd8bac9-7eb0-41e6-82cb-f69f0bc7be69 · inbound

Cosmological collider signals of modular spontaneous CP breaking cites this paper.

Cosmological collider signals of modular spontaneous CP breaking Solving the strong CP problem in string-inspired theories with modular invariance

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:10:47.638440Z

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 fec96d67-f211-424a-902c-a8709632e4b7 · inbound

Quark hierarchies and CP violation from the Siegel modular group cites this paper.

Quark hierarchies and CP violation from the Siegel modular group Solving the strong CP problem in string-inspired theories with modular invariance

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:56:04.449343Z

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

Observation dba90a30-b281-454d-a608-9d1a65205f2f · inbound

Transient Bias for CP Domain Wall Decay and Dark Matter cites this paper.

Transient Bias for CP Domain Wall Decay and Dark Matter Solving the strong CP problem in string-inspired theories with modular invariance

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-07-04T01:09:18.735878Z

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

Observation 1b26e123-5b65-406e-acb0-0d2fde403b2b · inbound

Finite modular Coleman-Weinberg inflation cites this paper.

Finite modular Coleman-Weinberg inflation Solving the strong CP problem in string-inspired theories with modular invariance

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-07-02T10:56:52.162501Z

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.