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Paper Citation Record · LEDGER

Towards unification of quark and lepton flavors in $A_4$ modular invariance

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1905.13421.

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

pith.paper-citation-record.v1
1905.13421 v6

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:56:00.887976Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T04:35:21.228657Z

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 cabfb9e4-f78a-47e9-98e9-09b9941f4fa4 · inbound

Trimaximal TM$_1$ mixing with two modular $S_4$ groups cites this paper.

Trimaximal TM$_1$ mixing with two modular $S_4$ groups Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-14T14:56:00.887976Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:56:00.887976Z digest=sha256:23fb6a247eda95fcbde2f3ad1ff07817ab560f63802bc3cef69c475eb675e98c

Observation 5faebab6-e2b1-4220-81a7-83128f23748d · inbound

A modular $A_4$ symmetric scotogenic model cites this paper.

A modular $A_4$ symmetric scotogenic model Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T12:59:47.130598Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:59:47.130598Z digest=sha256:aba4916d72f3711d35b004af651f6dd2d0bc6cc6c319fba2c1481424a58cbbf9

Observation 2f95cd46-fdab-45ee-b3e7-c978d6cec06a · inbound

Neutrino mass model with a modular $S_4$ symmetry cites this paper.

Neutrino mass model with a modular $S_4$ symmetry Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-14T12:19:10.837657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:19:10.837657Z digest=sha256:7cf4b8c114fdade7e08e3b359e5fee1015a8fe170708e9d1187b712872a58f6c

Observation 4a793443-6fe7-4091-90cd-b30af1379d39 · inbound

Modular Invariant Models of Lepton Masses at Levels 4 and 5 cites this paper.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.147463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:21:04.147463Z digest=sha256:984ccec6b40ba41417fa32b993b7e65c6e8164c82b114c30ec9758c067c1d615

Observation 1d42a712-4c0d-4727-9f1f-176ad059d199 · inbound

Unitarity triangle angles explained: a predictive new quark mass matrix texture cites this paper.

Unitarity triangle angles explained: a predictive new quark mass matrix texture Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-09T23:18:07.425166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T23:18:07.425166Z digest=sha256:8e559db3827fc7821c683c809bc09a1f059e007c448d2b8412cf35c7ea4994fe

Observation c9262b46-c31c-490d-8755-8d68e05c294b · inbound

Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry cites this paper.

Neutrino Mass Predictions with an AI-based Algorithm under $A_4$ Modular Symmetry Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 154

Resolution
unresolved
no resolver link, observed 2026-08-05T21:02:52.045823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:02:52.045823Z digest=sha256:39f7a787c93d268e3780508b78b3a73b98283afd75fe141ec9e13002b577dd29

Observation c1758454-cf71-4839-b36a-ae7428cb22ec · inbound

Zee models with a non-invertible $Z_M$ symmetry cites this paper.

Zee models with a non-invertible $Z_M$ symmetry Towards unification of quark and lepton flavors in $A_4$ modular invariance

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-05-25T04:35:21.231638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-25T04:32:47.321869Z digest=sha256:8b69191c4a1820cc2b5c2bd0b94d98779911d48d914c537240f5ba061937f653