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Paper Citation Record · LEDGER

Modular Invariant Models of Lepton Masses at Levels 4 and 5

As of 15 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 0 inbound Pith citation observations for arXiv:1908.11867.

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

pith.paper-citation-record.v1
1908.11867 v1

Coverage vector

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Outbound references

Observation 9010acc1-aa7f-4c66-bcce-919d37c0ecb6 · outbound

This paper cites Can an unbroken flavour symmetry provide an approximate description of lepton masses and mixing?.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Can an unbroken flavour symmetry provide an approximate description of lepton masses and mixing?

Reference 1

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Observation 76ef0449-9fb6-4ffc-ac4e-24cc4627817d · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Discrete Flavor Symmetries and Models of Neutrino Mixing

Reference 2

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Observation 4e483ed3-5654-42c6-af1a-a74ea7d8e915 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Non-Abelian Discrete Symmetries in Particle Physics

Reference 3

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Observation b39dfe97-160c-42d7-9676-76e0c68d3909 · outbound

This paper cites Lepton mixing and discrete symmetries.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Lepton mixing and discrete symmetries

Reference 4

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Observation 4048fcbd-96d9-4ecb-aef2-1e904b0f2e5a · outbound

This paper cites Neutrino Mass and Mixing with Discrete Symmetry.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Neutrino Mass and Mixing with Discrete Symmetry

Reference 5

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Observation 2b5dc23b-a32d-4ea1-a1cc-6e922ead1edc · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Neutrino Mass and Mixing: from Theory to Experiment

Reference 6

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Observation f3067d73-3921-43ae-9056-d0032bc1c9f1 · outbound

This paper cites Pieces of the Flavour Puzzle.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Pieces of the Flavour Puzzle

Reference 7

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Observation c6034c52-b792-4ce3-8b48-e6a9ab4a108e · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Unified Models of Neutrinos, Flavour and CP Violation

Reference 8

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Observation e2cc3da9-8185-4c8c-98ec-de043db0d8dc · outbound

This paper cites Theories of Leptonic Flavor.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Theories of Leptonic Flavor

Reference 9

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Observation e7737f78-82ea-4b61-9e63-3f1756630daa · outbound

This paper cites Are neutrino masses modular forms?.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Are neutrino masses modular forms?

Reference 10

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Observation 341ce8ac-450b-4685-b9bd-ed84e89f9159 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Generalised CP Symmetry in Modular-Invariant Models of Flavour

Reference 11

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Observation a05606ef-d4bb-4d1f-ba9a-4fce82f44641 · outbound

This paper cites CP violation and modular symmetries.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 CP violation and modular symmetries

Reference 12

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Observation 13eb0fd3-8c9d-4273-9bae-c38d1ac66bdb · outbound

This paper cites On the modular invariance of mass eigenstates and CP violation.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 On the modular invariance of mass eigenstates and CP violation

Reference 13

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Observation bd1e9bda-b267-44ea-a96d-462f88e63676 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Unification of Flavor, CP, and Modular Symmetries

Reference 14

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Observation 6cee65ab-cbd1-4967-9f61-f1fb25b0251a · outbound

This paper cites A String Theory of Flavor and CP.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 A String Theory of Flavor and CP

Reference 15

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Observation 2f996b62-ec80-43f5-afc5-c124a2edadde · outbound

This paper cites Ferrara, .D.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Ferrara, .D

Reference 16

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Observation 9b8f353c-e08a-4e43-9c45-ab390a5f5634 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Multiple modular symmetries as the origin of flavour

Reference 17

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This paper cites Hamidi and C.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Hamidi and C

Reference 18

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Unresolved cited work

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Lauer, J

Reference 20

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This paper cites Lauer, J.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Lauer, J

Reference 21

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Observation f7d22fe8-b463-4d01-afb1-b4a1a7cf339d · outbound

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Erler, D

Reference 22

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Yukawa couplings in intersecting D-brane models

Reference 23

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Blumenhagen, M

Reference 24

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Unresolved cited work

Reference 25

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes

Reference 26

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Progress in D-brane model building

Reference 27

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Fermion Wavefunctions in Magnetized branes: Theta identities and Yukawa couplings

Reference 28

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular symmetry in magnetized/intersecting D-brane models

Reference 29

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Computing Yukawa Couplings from Magnetized Extra Dimensions

Reference 30

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models

Reference 31

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular symmetry and non-Abelian discrete flavor symmetries in string compactification

Reference 32

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Unresolved cited work

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Complete structure of Z_n Yukawa couplings

Reference 34

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 The CKM Phase in Heterotic Orbifold Models

Reference 35

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Modular Invariant Models of Lepton Masses at Levels 4 and 5 Kobayashi and O

Reference 36

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Observation 588a05cd-4b87-4e27-a96b-17c08087fdb0 · outbound

This paper cites Brax and M.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Brax and M

Reference 37

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Observation 52ba54c0-eb5e-42ad-b8bf-223ecb52972c · outbound

This paper cites Binetruy and E.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Binetruy and E

Reference 38

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

source=pdf_text observed=2026-08-14T10:21:04.084612Z digest=sha256:d8e60e3b56e5113a6d8e96b755a5fd042ac2c7b4c660a9766e7a30ba92019543

Observation 70afbbc7-ee03-491d-84c2-c0c00be893d1 · outbound

This paper cites Soft scalar masses in supergravity with horizontal U(1)_X gauge symmetry.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Soft scalar masses in supergravity with horizontal U(1)_X gauge symmetry

Reference 39

Resolution
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local_arxiv, observed 2026-08-14T10:21:04.525913Z

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=2026-08-14T10:21:04.087696Z digest=sha256:8f48aa20ec2ea99e0a511a8e846f0843981004269c9ff51ebafb67e6326b42e4

Observation bb0fea1f-236f-4c4f-8b71-5f2ddd897c23 · outbound

This paper cites Dynamical mass matrices from moduli fields.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Dynamical mass matrices from moduli fields

Reference 40

Resolution
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local_arxiv, observed 2026-08-14T10:21:04.508401Z

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=2026-08-14T10:21:04.091094Z digest=sha256:42d9bc729773dbb733eb39f20fca7c7cd2281aa6546a454af0af7cb29687fa46

Observation 5eefbd10-a333-4ae5-b834-0775f5ef727b · outbound

This paper cites Modular Weights, U(1)'s and Mass Matrices.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular Weights, U(1)'s and Mass Matrices

Reference 41

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source=pdf_text observed=2026-08-14T10:21:04.094810Z digest=sha256:de964e4b11b8e666265b5c25bec8c1c78231ad9ab681a64ddd6381833d856c86

Observation 45aa8fc9-0d97-46e1-a53d-9c5d389c8f33 · outbound

This paper cites Neutrino mixing from finite modular groups.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Neutrino mixing from finite modular groups

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.098570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:21:04.098570Z digest=sha256:e9c67737b76f4075ca3d5d53a39ccebc6b3a31ec54bc16171296176cbfe4a9f5

Observation 16ec84e5-b75e-407c-994f-c8f01faa545e · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Finite modular subgroups for fermion mass matrices and baryon/lepton number violation

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.102368Z

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source=pdf_text observed=2026-08-14T10:21:04.102368Z digest=sha256:8f6f6ef17a54f25741696a155335340f09f59c60d717cd8d074f9d0ae549da10

Observation 2a633837-d947-4376-85a2-dc2e5715a0bd · outbound

This paper cites Modular Invariance Faces Precision Neutrino Data.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular Invariance Faces Precision Neutrino Data

Reference 44

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T10:21:04.106081Z digest=sha256:b7aff4c4095adf7a9e7b40a4821b8a2044604d8698f53695828bcf2458f47ef4

Observation c77c65ac-61eb-4a5b-934f-3b0d56b68f4d · outbound

This paper cites Modular $A_4$ invariance and neutrino mixing.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular $A_4$ invariance and neutrino mixing

Reference 45

Resolution
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source=pdf_text observed=2026-08-14T10:21:04.110084Z digest=sha256:cdf71adae6514f8359a860e3fee91e6e5de2567ea65dfafa520a4c19d3e64cd4

Observation c356f8ac-9b40-4a4f-99af-fdf079d8bfcd · outbound

This paper cites Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Trimaximal Neutrino Mixing from Modular A4 Invariance with Residual Symmetries

Reference 46

Resolution
unresolved
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source=pdf_text observed=2026-08-14T10:21:04.114415Z digest=sha256:4f7eb4afd33c2a0520e4c176022a465ec16c7c1422612dba2f24c815077b6ecc

Observation 50ba2ff8-b325-443c-9e4b-06396bcbb5ac · outbound

This paper cites Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.118631Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T10:21:04.118631Z digest=sha256:eedfb512b6fffa7c34b715fa8b32862ccdbd9facfaef126142859a4934438ed2

Observation 984be126-8dc3-494e-a446-a249bd9100c1 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Lepton Masses and Mixing from Modular $S_4$ Symmetry

Reference 48

Resolution
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no resolver link, observed 2026-08-14T10:21:04.122509Z

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source=pdf_text observed=2026-08-14T10:21:04.122509Z digest=sha256:0d883ea7f47379fc257aa87f5ccf52cbe6d6d0742a10fa5f3a6c2de1830617b7

Observation 833ca668-edc3-45d6-b8ad-8d3d0ad938dc · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular $S_4$ Models of Lepton Masses and Mixing

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.126778Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:21:04.126778Z digest=sha256:5a3c97218f5993e8c1de81e09118f3e99504ca70cfdcc2d1d28ce059f9781b93

Observation 552af913-41c5-4d77-b32e-3a87e8a214c3 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Trimaximal TM$_1$ mixing with two modular $S_4$ groups

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.131149Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-14T10:21:04.131149Z digest=sha256:687b982abbd186c4eac31a0b38f023c4f121503a16b635b3c68c0cc90334e110

Observation a7ad17c2-7733-4163-bece-72729578257c · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular $A_5$ Symmetry for Flavour Model Building

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.135536Z

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source=pdf_text observed=2026-08-14T10:21:04.135536Z digest=sha256:fda6f8212643203b32100287993ef79516316c82f2e7775a395f8776911587c4

Observation 1d0f6aa0-8e30-48b6-b50e-c2bd29c92838 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Neutrino Mass and Mixing with $A_5$ Modular Symmetry

Reference 52

Resolution
unresolved
no resolver link, observed 2026-08-14T10:21:04.139644Z

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source=pdf_text observed=2026-08-14T10:21:04.139644Z digest=sha256:c2e57933d82d0a39b9a23e14a50e8affbf4e16b2bb3f79b18a199ada9ae5375f

Observation 28462d0e-7b68-42bd-a959-35bc716d8d76 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 CP violation of quarks in $A_4$ modular invariance

Reference 53

Resolution
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no resolver link, observed 2026-08-14T10:21:04.143649Z

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source=pdf_text observed=2026-08-14T10:21:04.143649Z digest=sha256:8237ecdb6063ef98c5cd7a86d92bcb8a6aa98a94070f8d357c3d6de412e2c945

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

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

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

Observation fc103166-c063-4405-836b-3cc28fcc2d09 · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 $SU(5)$ Grand Unified Theory with $A_4$ Modular Symmetry

Reference 55

Resolution
unresolved
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source=pdf_text observed=2026-08-14T10:21:04.151281Z digest=sha256:339fb96ec1bb019df6d5fc59c25fb2c4156d3502976503ab594cb1a249a3e1e2

Observation 4f362bf7-aae1-40bf-8ba5-de5fec8b9fde · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Modular $S_3$ invariant flavor model in SU(5) GUT

Reference 56

Resolution
unresolved
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source=pdf_text observed=2026-08-14T10:21:04.154776Z digest=sha256:bd3e4154bcfe38a41ca71f876d5de9a1373c1fa56e9b08db59d95a1340fe6431

Observation 767f3924-e34f-4be6-aad2-928d50524551 · outbound

This paper cites Ferrara, D.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Ferrara, D

Reference 57

Resolution
malformed identifier
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source=pdf_text observed=2026-08-14T10:21:04.158153Z digest=sha256:d4ee63c7a51822342ad1fec215ff9509ab4dd262960dedfb40e95b9cecf8f3bb

Observation 4eea8fbf-f624-4bf7-9d7c-239db27f734d · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Neutrino Masses and Mixing from Double Covering of Finite Modular Groups

Reference 58

Resolution
unresolved
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source=pdf_text observed=2026-08-14T10:21:04.162079Z digest=sha256:9f78480f52d379ee6b9fcd19fe4553e0ac3e7ae95eb27874b58df70636c45158

Observation 3e1e7098-aa45-444d-9a5d-7b70bfeebe2c · outbound

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

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Running quark and lepton parameters at various scales

Reference 59

Resolution
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no resolver link, observed 2026-08-14T10:21:04.165606Z

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source=pdf_text observed=2026-08-14T10:21:04.165606Z digest=sha256:55a2ae6b965a614bbaf1231728e9c3fdf6c458e63ad3e539632eb1d79c03f7b9

Observation bd12637b-d4c3-48f2-b561-581218e3a736 · outbound

This paper cites Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering

Reference 60

Resolution
unresolved
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T10:21:04.168707Z digest=sha256:a9e62200320aef0051a9da5fbb3ba6aaeeb571898f2dc95d03d3bd8d8e36e172

Observation 3ad8afc3-615a-4a82-8bfe-8cf1df35a685 · outbound

This paper cites Fermion Masses and Mixings in a S4 Based Model.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Fermion Masses and Mixings in a S4 Based Model

Reference 61

Resolution
unresolved
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source=pdf_text observed=2026-08-14T10:21:04.171770Z digest=sha256:8dfc448e42585d8bdd24dbe23c754b401f68d4988de83e7d5368d1bcca3af2d2

Observation 8b8fce31-706d-4c96-b68a-81e18389d22f · outbound

This paper cites Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry.

Modular Invariant Models of Lepton Masses at Levels 4 and 5 Golden Ratio Neutrino Mixing and $A_5$ Flavor Symmetry

Reference 62

Resolution
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source=pdf_text observed=2026-08-14T10:21:04.174880Z digest=sha256:52b5d521f368d60ce7cde6ce4cc8cfa5421c3e5beab98043c980b06c96535ecb

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