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Paper Citation Record · LEDGER

Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

As of 24 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2006.10722.

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

pith.paper-citation-record.v1
2006.10722 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:54.717368Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T17:09:58.353521Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 99a87bbb-6747-4b1b-a289-d11355ecc446 · inbound

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

Large and small hierarchies from finite modular symmetries Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T04:52:20.371783Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T04:52:20.371783Z digest=sha256:c2803261d780bbaa2eb801f9d934cf789f23c6a6c09b2f9230bdf56da26f755e

Observation 1ec2d99d-bb5f-4ed3-bcf1-3ef4abf539bd · inbound

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry cites this paper.

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-16T12:26:54.717368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:26:54.717368Z digest=sha256:8c22aa1e915bbf8262cbfd061f7c85f207a0130bcb09883fd78a48a0153ec904

Observation a3f9bdd8-e13f-4dcc-b28a-fa79721154a5 · inbound

Modular Flavor Symmetries and Fermion Mass Hierarchies cites this paper.

Modular Flavor Symmetries and Fermion Mass Hierarchies Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T21:52:27.625203Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:52:27.625203Z digest=sha256:de6edc5797219115720856cb99c1727bafc2af7066cb891ad8a109a473c1e21a

Observation 2e71ef50-059b-47b2-ae86-9864c9e78a41 · 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 Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-05T21:02:51.737986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:02:51.737986Z digest=sha256:3879ce404c2345854066e1286efd37c3e205696351785a1af30a9b038a3f9754

Observation a3fc07bb-5384-4a0b-a76b-edf535d6b438 · inbound

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis cites this paper.

Froggatt-Nielsen like mechanism in the framework of Modular Symmetry for Neutrino Mass, Mixing and Leptogenesis Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-15T17:22:56.618907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T17:22:56.618907Z digest=sha256:816c1f28c8402dda03d65068010e69b5cfe98419dd7a16c280cafe5429eb4201

Observation 49b16169-edf4-476b-a0be-613c7e8b4463 · inbound

A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE cites this paper.

A Predictive Non-Holomorphic Modular $A_4$ Linear Seesaw Framework Testable at DUNE Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-02T20:36:40.516083Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:36:40.516083Z digest=sha256:0b8f65e933cc162b95e9efd4718a38c4febe00c732d1595d2b4b972f2b6ec33b

Observation a129d3ac-66d3-4712-80a0-9d6c9f18a54c · inbound

More about modular symmetries and non-invertible properties in magnetized compactifications cites this paper.

More about modular symmetries and non-invertible properties in magnetized compactifications Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 68

Resolution
verified exact
arxiv_id, observed 2026-06-29T12:53:27.334611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-29T11:26:34.913484Z digest=sha256:a5a4ea7ae6a57a791e395a6adcd67c9beaa19ecfd4d0e54c17c3d6c8539d2878

Observation 1c888c7d-f6b1-4572-8c9a-285d20a88e55 · inbound

Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis cites this paper.

Non-holomorphic $S^{\prime}_{4}$ modular symmetry for leptons and leptogenesis Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 55

Resolution
verified exact
arxiv_id, observed 2026-07-04T17:09:58.355423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-06-25T23:58:51.989214Z digest=sha256:c3169e6616c099efe5920c1d4dde79f02efe7ee2054aa88c8c377be9af46c8ea