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Paper Citation Record · LEDGER

A modular $A_4$ symmetric scotogenic model

As of 20 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 3 inbound Pith citation observations for arXiv:1908.07457.

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

pith.paper-citation-record.v1
1908.07457 v2

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:59:47.467387Z

measured 56 of 56 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:54.697885Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:19:11.622716Z

Reference resolution

53 of 53 outbound references displayed

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External citation measurements

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Outbound references

Observation ab606156-75a2-4179-9e06-043635b8eb7e · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 1

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Observation bbaf9a4c-aa77-4eff-a9a1-84c50ab35406 · outbound

This paper cites We also show correlation among the mass eigenvalues in Fig.

A modular $A_4$ symmetric scotogenic model We also show correlation among the mass eigenvalues in Fig

Reference 2

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Observation 78f7f5d9-65d7-481e-bd4a-6c2d3ef2399a · outbound

This paper cites 6 where normal hierarchy is assumed here and ∆ m2 atm is the atmospheric neutrino mass dif- ference square.

A modular $A_4$ symmetric scotogenic model 6 where normal hierarchy is assumed here and ∆ m2 atm is the atmospheric neutrino mass dif- ference square

Reference 3

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Observation 1829fb8f-3e29-4511-9005-082b4b20cb99 · outbound

This paper cites 5, therefore following upper bounds are realized: BR(µ →eγ) ≲ 6.0×10−15, BR(τ →eγ) ≲ 1.2×10−15, BR(τ →µγ) ≲ 1.7×10−14.

A modular $A_4$ symmetric scotogenic model 5, therefore following upper bounds are realized: BR(µ →eγ) ≲ 6.0×10−15, BR(τ →eγ) ≲ 1.2×10−15, BR(τ →µγ) ≲ 1.7×10−14

Reference 4

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Observation d877aff2-32d3-42c6-abe1-cb7bfcead697 · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 5

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Observation f231ea04-b70d-4823-b4be-fe03f75ed410 · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 6

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Observation 613e9336-9072-4fa5-b9b2-94406de43d9c · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 7

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Observation 56287568-5bbf-4371-a228-6a867dcb9c46 · outbound

This paper cites Finite Modular Groups and Lepton Mixing.

A modular $A_4$ symmetric scotogenic model Finite Modular Groups and Lepton Mixing

Reference 8

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Observation b8dc9330-c943-4cf1-a071-d8084f150ac7 · outbound

This paper cites Are neutrino masses modular forms?.

A modular $A_4$ symmetric scotogenic model Are neutrino masses modular forms?

Reference 9

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Observation 52cb0025-6750-40e9-8aa5-7ea213abed1f · outbound

This paper cites Modular Invariance Faces Precision Neutrino Data.

A modular $A_4$ symmetric scotogenic model Modular Invariance Faces Precision Neutrino Data

Reference 10

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Observation 9347a349-08a1-4a77-8027-9b5fa0b9ccb3 · outbound

This paper cites Kobayashi, N.

A modular $A_4$ symmetric scotogenic model Kobayashi, N

Reference 11

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Observation 4d6b8c1f-27d1-4705-b0b3-08f6b8d32e28 · outbound

This paper cites CP violation of quarks in $A_4$ modular invariance.

A modular $A_4$ symmetric scotogenic model CP violation of quarks in $A_4$ modular invariance

Reference 12

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Observation 937dc4f5-1919-4c2f-9af0-5cff0961ad83 · outbound

This paper cites A modular $A_4$ symmetric model of dark matter and neutrino.

A modular $A_4$ symmetric scotogenic model A modular $A_4$ symmetric model of dark matter and neutrino

Reference 13

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

This paper cites Towards unification of quark and lepton flavors in $A_4$ modular invariance.

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

Reference 14

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Observation 0076479f-c432-4124-8fd1-696f6c0bc8d7 · outbound

This paper cites $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry.

A modular $A_4$ symmetric scotogenic model $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry

Reference 15

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Observation bf59243f-4bab-4622-86b7-c124a571c622 · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 16

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Observation 5b635c51-574d-425d-ad47-407e66607963 · outbound

This paper cites A two loop induced neutrino mass model with modular $A_4$ symmetry.

A modular $A_4$ symmetric scotogenic model A two loop induced neutrino mass model with modular $A_4$ symmetry

Reference 17

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Observation 73adef9b-6015-464e-a161-eaadbb9046a3 · outbound

This paper cites A radiative seesaw model in modular $A_4$ symmetry.

A modular $A_4$ symmetric scotogenic model A radiative seesaw model in modular $A_4$ symmetry

Reference 18

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Observation 111151cd-67ba-43d1-a935-a307a34eaeff · outbound

This paper cites Neutrino mixing from finite modular groups.

A modular $A_4$ symmetric scotogenic model Neutrino mixing from finite modular groups

Reference 19

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Observation d848e4f4-b337-407a-a219-8610db6a9f52 · outbound

This paper cites Finite modular subgroups for fermion mass matrices and baryon/lepton number violation.

A modular $A_4$ symmetric scotogenic model Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

Reference 20

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Observation 6de9fd45-1add-46d9-a546-0896baa1b2db · outbound

This paper cites Modular $S_3$ invariant flavor model in SU(5) GUT.

A modular $A_4$ symmetric scotogenic model Modular $S_3$ invariant flavor model in SU(5) GUT

Reference 21

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Observation 615df6f2-0798-434c-a272-85a66d90d48a · outbound

This paper cites Modular $S_3$ symmetric radiative seesaw model.

A modular $A_4$ symmetric scotogenic model Modular $S_3$ symmetric radiative seesaw model

Reference 22

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Observation 12486d39-cebd-4f2e-9d02-2480a70b0048 · outbound

This paper cites Lepton Masses and Mixing from Modular $S_4$ Symmetry.

A modular $A_4$ symmetric scotogenic model Lepton Masses and Mixing from Modular $S_4$ Symmetry

Reference 23

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Observation 2818d0e8-f59e-47ad-9fa5-ae1b43505720 · outbound

This paper cites Modular $S_4$ Models of Lepton Masses and Mixing.

A modular $A_4$ symmetric scotogenic model Modular $S_4$ Models of Lepton Masses and Mixing

Reference 24

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Observation 6025243e-d228-4fa7-9378-28e450b87565 · outbound

This paper cites New $A_4$ lepton flavor model from $S_4$ modular symmetry.

A modular $A_4$ symmetric scotogenic model New $A_4$ lepton flavor model from $S_4$ modular symmetry

Reference 25

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Observation 4dcbe994-c8c1-48c5-8b1c-d0d19824a758 · outbound

This paper cites Modular $A_5$ Symmetry for Flavour Model Building.

A modular $A_4$ symmetric scotogenic model Modular $A_5$ Symmetry for Flavour Model Building

Reference 26

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Observation 551c0e54-17e1-4d25-8783-69c585853950 · outbound

This paper cites Neutrino Mass and Mixing with $A_5$ Modular Symmetry.

A modular $A_4$ symmetric scotogenic model Neutrino Mass and Mixing with $A_5$ Modular Symmetry

Reference 27

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Observation 575724f2-e2b0-41c2-b24c-5e772fbf3f23 · outbound

This paper cites Unification of Flavor, CP, and Modular Symmetries.

A modular $A_4$ symmetric scotogenic model Unification of Flavor, CP, and Modular Symmetries

Reference 28

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Observation f80f2c68-b26e-4b23-9800-8c18ad2b1c4f · outbound

This paper cites Multiple modular symmetries as the origin of flavour.

A modular $A_4$ symmetric scotogenic model Multiple modular symmetries as the origin of flavour

Reference 29

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Observation c929e4c8-1995-42f3-b0b0-19ae71dd4094 · outbound

This paper cites Neutrino Masses and Mixing from Double Covering of Finite Modular Groups.

A modular $A_4$ symmetric scotogenic model Neutrino Masses and Mixing from Double Covering of Finite Modular Groups

Reference 30

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Observation b37408c6-86e0-4462-86bb-4add7180a527 · outbound

This paper cites Discrete Flavor Symmetries and Models of Neutrino Mixing.

A modular $A_4$ symmetric scotogenic model Discrete Flavor Symmetries and Models of Neutrino Mixing

Reference 31

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Observation 2b557837-a3c5-4b1a-a53e-a4760955b97d · outbound

This paper cites Non-Abelian Discrete Symmetries in Particle Physics.

A modular $A_4$ symmetric scotogenic model Non-Abelian Discrete Symmetries in Particle Physics

Reference 32

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Observation f2f51a18-7875-410a-bfaa-4df6de14dd3d · outbound

This paper cites Ishimori, T.

A modular $A_4$ symmetric scotogenic model Ishimori, T

Reference 33

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Observation e979fb17-7425-442d-9ee0-37e26da76a20 · outbound

This paper cites Lepton mixing and discrete symmetries.

A modular $A_4$ symmetric scotogenic model Lepton mixing and discrete symmetries

Reference 34

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Observation 241f3dea-dbd2-4839-a584-b73fe3796543 · outbound

This paper cites Neutrino Mass and Mixing with Discrete Symmetry.

A modular $A_4$ symmetric scotogenic model Neutrino Mass and Mixing with Discrete Symmetry

Reference 35

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Observation 21bd7925-f25b-4a0e-96e9-a8ddcbd7e1c2 · outbound

This paper cites Neutrino Mass and Mixing: from Theory to Experiment.

A modular $A_4$ symmetric scotogenic model Neutrino Mass and Mixing: from Theory to Experiment

Reference 36

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Observation 2824a956-3af0-4160-ae71-8fc5c171324d · outbound

This paper cites Unified Models of Neutrinos, Flavour and CP Violation.

A modular $A_4$ symmetric scotogenic model Unified Models of Neutrinos, Flavour and CP Violation

Reference 37

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Observation f3603511-c8d1-4afb-8b43-5f36e369884e · outbound

This paper cites Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation.

A modular $A_4$ symmetric scotogenic model Discrete Flavour Symmetries, Neutrino Mixing and Leptonic CP Violation

Reference 38

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Observation 34bea600-0ee0-4d5a-a477-6027faedd741 · outbound

This paper cites A String Theory of Flavor and CP.

A modular $A_4$ symmetric scotogenic model A String Theory of Flavor and CP

Reference 39

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Observation 0e7b5e9b-d178-4e47-8bc9-8bf9c6ae6361 · outbound

This paper cites Ma, Phys.

A modular $A_4$ symmetric scotogenic model Ma, Phys

Reference 40

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Observation 5213a6b7-c074-40f0-94c1-161577c2daa9 · outbound

This paper cites Discrete dark matter.

A modular $A_4$ symmetric scotogenic model Discrete dark matter

Reference 41

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Observation 81808702-d1b8-4c59-a528-c2bddca5cd8e · outbound

This paper cites SeeSaw scale discrete dark matter and two-zero texture Majorana neutrino mass matrices.

A modular $A_4$ symmetric scotogenic model SeeSaw scale discrete dark matter and two-zero texture Majorana neutrino mass matrices

Reference 42

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Observation d3f343e3-3758-4cc0-ac23-e35fa7d4aca4 · outbound

This paper cites an unresolved cited work.

A modular $A_4$ symmetric scotogenic model Unresolved cited work

Reference 43

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Observation b4f65723-7d7d-44df-bf0f-3a96d06411a5 · outbound

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

A modular $A_4$ symmetric scotogenic model Generalised CP Symmetry in Modular-Invariant Models of Flavour

Reference 44

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Observation 43f94b14-1de9-40a8-9e97-53a6f9fe4de5 · outbound

This paper cites An explanation of one loop induced $h\to \mu \tau$ decay.

A modular $A_4$ symmetric scotogenic model An explanation of one loop induced $h\to \mu \tau$ decay

Reference 45

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Observation e6cc8303-3247-4156-bb4b-d618d6d3d759 · outbound

This paper cites Search for the Lepton Flavour Violating Decay $\mu^{+} \to e^+ \gamma$ with the Full Dataset of the MEG Experiment.

A modular $A_4$ symmetric scotogenic model Search for the Lepton Flavour Violating Decay $\mu^{+} \to e^+ \gamma$ with the Full Dataset of the MEG Experiment

Reference 46

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Observation 9f3ed40b-a315-430d-bec5-9770fd488f61 · outbound

This paper cites The quest for $\mu \to e \gamma$: present and future.

A modular $A_4$ symmetric scotogenic model The quest for $\mu \to e \gamma$: present and future

Reference 47

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source=pdf_text observed=2026-08-14T12:59:47.441041Z digest=sha256:94dd73fefeb9d8b67e7379c102178775a56136a910bf38479de240b2e3c355b3

Observation 87ed750d-5e00-4f89-8bb7-53c075990beb · outbound

This paper cites Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma.

A modular $A_4$ symmetric scotogenic model Searches for Lepton Flavor Violation in the Decays tau -> e gamma and tau -> mu gamma

Reference 48

Resolution
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source=pdf_text observed=2026-08-14T12:59:47.444946Z digest=sha256:c3ac1f29445001c5924903059deee883852a7425842d6e4fc0431b146341c2b2

Observation f2835a50-db1b-494b-bc14-9ea5895f0590 · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

A modular $A_4$ symmetric scotogenic model Planck 2018 results. VI. Cosmological parameters

Reference 49

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Observation 7c62e03d-2701-46de-9114-a2075f4c92f9 · outbound

This paper cites Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen.

A modular $A_4$ symmetric scotogenic model Search for Majorana Neutrinos near the Inverted Mass Hierarchy Region with KamLAND-Zen

Reference 50

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source=pdf_text observed=2026-08-14T12:59:47.453979Z digest=sha256:4cdf4b22d25e0ef5b25cc932a3413e7f9493dda22248ecf90b5426f32de3ca62

Observation 66a3bebe-5c9b-4bcc-a3da-a04690b5e104 · outbound

This paper cites Scalar Multiplet Dark Matter.

A modular $A_4$ symmetric scotogenic model Scalar Multiplet Dark Matter

Reference 51

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Observation d0dc6de2-ef40-42da-b434-e0ac1ec4798b · outbound

This paper cites Esteban, M.

A modular $A_4$ symmetric scotogenic model Esteban, M

Reference 52

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Observation 4b6c1514-8afe-4a04-a736-d56dc0601c23 · outbound

This paper cites An Updated Analysis of Inert Higgs Doublet Model in light of the Recent Results from LUX, PLANCK, AMS-02 and LHC.

A modular $A_4$ symmetric scotogenic model An Updated Analysis of Inert Higgs Doublet Model in light of the Recent Results from LUX, PLANCK, AMS-02 and LHC

Reference 53

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Pith citing papers

Observation 8e6b7e6f-5285-4b91-a2a2-de2b1b9fc5ee · inbound

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

Neutrino mass model with a modular $S_4$ symmetry A modular $A_4$ symmetric scotogenic model

Reference 23

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verified exact
local_arxiv, observed 2026-08-14T12:19:11.628262Z

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Observation a5d3ea11-3a6a-4eec-8c03-e5928415ed72 · inbound

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

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry A modular $A_4$ symmetric scotogenic model

Reference 80

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source=pdf_text observed=2026-08-16T12:26:54.697885Z digest=sha256:fbf411061bd0ad21994c0f14e639d9ef540d68774fdbe4f0b86ba3c80d177a08

Observation 4110810a-14b1-4c96-9fb2-4ed820c1e540 · 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 A modular $A_4$ symmetric scotogenic model

Reference 38

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