Pith. sign in

Paper Citation Record · LEDGER

Modular invariance and the QCD angle

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2305.08908.

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

pith.paper-citation-record.v1
2305.08908 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:23:44.175278Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T01:09:18.762281Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9368fe0b-37dd-4403-a29c-e210f6e37d31 · inbound

CPon Dark Matter cites this paper.

CPon Dark Matter Modular invariance and the QCD angle

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-12T22:03:40.408305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T22:03:40.408305Z digest=sha256:fb129c8c37b883f1015ca920b619828fb9d7d63c4474dc346868fd5adb28b577

Observation 0216e505-6c93-4a72-b296-62b9fc005923 · inbound

Large and small hierarchies from finite modular symmetries cites this paper.

Large and small hierarchies from finite modular symmetries Modular invariance and the QCD angle

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-11T04:52:20.520378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:52:20.520378Z digest=sha256:33ee7fe70dcf1b210df40afb0a843e107bb72a8412431b7fb1a62cbfbf5416bb

Observation db92a575-5c52-4aad-99f8-f4d0ac370f15 · inbound

Solving the strong CP problem cites this paper.

Solving the strong CP problem Modular invariance and the QCD angle

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T13:27:02.847158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T13:27:02.847158Z digest=sha256:e51e88d24c674015c9bd97b6336e167a8c6597335c3f55bc672bf302fea10232

Observation 50c41e62-9b61-40e5-b7aa-b599209ac4fb · inbound

Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations cites this paper.

Leptonic Flavor from Modular $A_4$: UV Mediators and SMEFT Realizations Modular invariance and the QCD angle

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-16T04:23:44.175278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:23:44.175278Z digest=sha256:69cadce20ad465430e1f6d06bec4a51e33b82fffe65d6cc2b69f30d46f6d43a9

Observation 9dc3610d-c689-4f7e-847e-447bc55278b1 · inbound

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

Non-invertible symmetry as an axion-less solution to the strong CP problem Modular invariance and the QCD angle

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-15T23:25:24.068421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:25:24.068421Z digest=sha256:e1bfe00154ba310dbc1a74a9c4288be8f379d1c8f4daa4cdb08b3198baaa14a7

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

Solving the strong CP problem in string-inspired theories with modular invariance cites this paper.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T14:07:37.400557Z digest=sha256:ee46edfe744b86c853880e0b7d8245cce2e8f9c5b861a3385547f336f302a736

Observation d6f029af-9c64-444b-a24a-8b20a69a22d5 · inbound

Two Higgs Doublet Solutions to the Strong CP Problem cites this paper.

Two Higgs Doublet Solutions to the Strong CP Problem Modular invariance and the QCD angle

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T20:02:33.101757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:02:33.101757Z digest=sha256:504c5d36f7dc48f083128fa37d6ee5d5fb5fe314460ac3edf97ba88a6edf61b7

Observation 9ccd1700-5a05-4cdb-a599-59ae80a9bae1 · inbound

Modular Flavor Symmetries and Fermion Mass Hierarchies cites this paper.

Modular Flavor Symmetries and Fermion Mass Hierarchies Modular invariance and the QCD angle

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T21:52:30.802469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:52:30.802469Z digest=sha256:1cf101ce5c0760bb04ed0ca4aa3449334029d3d725c00d3d16e08bb4c91b6489

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

When CP requires $\bar\theta=0$, not $\bar\theta=\pi$ cites this paper.

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.

source=pdf_text observed=2026-08-06T17:38:19.313854Z digest=sha256:691f2d0def3ec78d34b231947a6442b9cbc7022f49980ccdabdcd339a3c541a9

Observation 0905b242-3f4e-4de4-aed8-74634517858f · inbound

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model cites this paper.

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model Modular invariance and the QCD angle

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-15T17:27:52.852585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:27:52.852585Z digest=sha256:bdc6e4a5f0e1f122578211a38c48908c3878298fa8cd3dbdec4c6170836f2c7f

Observation 1c566102-66b5-496e-aef4-74b62ef51ec7 · inbound

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds cites this paper.

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Modular invariance and the QCD angle

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-04T18:31:50.250486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:31:50.250486Z digest=sha256:f01e2d9146f502897ba063208733a259d7d8b2bd8c77cbe13fe0a5a5d96ff7f6

Observation c8f7cd7f-0752-4cef-b033-db7f794a8270 · inbound

Flavor from Consistency: Axion, Anomaly Cancellation, and Emergent Unification cites this paper.

Flavor from Consistency: Axion, Anomaly Cancellation, and Emergent Unification Modular invariance and the QCD angle

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T23:21:46.122663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:21:46.122663Z digest=sha256:0c6b7222737ae57e929a21cd927523435b68af193b57126b36336088ba0be5f2

Observation bd428137-8d36-4e29-a461-a503b16eeaee · inbound

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

Cosmological collider signals of modular spontaneous CP breaking Modular invariance and the QCD angle

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:10:47.702179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T20:12:58.808023Z digest=sha256:5ade085a362e628e0546d2a0740aa7e3feee5ee0ad3a87c88806555c5e5836fc

Observation 558f9fd2-fd03-45b6-b950-ad7bab8f597a · inbound

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

Quark hierarchies and CP violation from the Siegel modular group Modular invariance and the QCD angle

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:56:04.699522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-09T20:54:12.122805Z digest=sha256:850448c1b16f861796275f5f447e43741942881840fa28560030950fa1c66229

Observation 582f4e88-e10a-4b55-bbc0-9f8371ada963 · inbound

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

Transient Bias for CP Domain Wall Decay and Dark Matter Modular invariance and the QCD angle

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-04T01:09:18.763708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-26T20:42:35.175765Z digest=sha256:e73e1e2912a67a633efa16e008dfa6a0aa8aec55ce0abfbea53a8bbc507389ca

Observation 6be946c7-faea-48e7-8902-a95def50bdfe · inbound

Finite modular Coleman-Weinberg inflation cites this paper.

Finite modular Coleman-Weinberg inflation Modular invariance and the QCD angle

Reference 63

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:56:52.088971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-07-02T10:50:33.591669Z digest=sha256:b9a7de223797e94a780cd147887e61739043e4aa5aaeede4308ba3a0930e62ce