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Paper Citation Record · LEDGER

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

As of 18 August 2026, this Paper Citation Record lists 69 of 69 outbound references and 5 inbound Pith citation observations for arXiv:2501.00302.

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

pith.paper-citation-record.v1
2501.00302 v2

Coverage vector

measured 69 of 69 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:00:48.783942Z

measured 74 of 74 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:26:54.610198Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T02:42:08.711695Z

Reference resolution

69 of 69 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1ab33317-e94d-4efd-8d7e-6c3d2e0941fe · outbound

This paper cites Evidence for oscillation of atmospheric neutrinos.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Evidence for oscillation of atmospheric neutrinos

Reference 1

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Observation e01137d6-aae8-4a83-93e1-a5b735df0ab2 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 2

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation e2decc6a-f5e0-41f3-a437-d730b3dea3f2 · outbound

This paper cites Navas et al., Review of particle physics , Phys.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Navas et al., Review of particle physics , Phys

Reference 3

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Observation 14648ff5-4400-48a5-bdaa-43fcbab7cb8b · outbound

This paper cites Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Direct Evidence for Neutrino Flavor Transformation from Neutral-Current Interactions in the Sudbury Neutrino Observatory

Reference 4

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Observation 514900cb-a581-46f9-8db7-1385d2a20d3e · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Discrete Flavor Symmetries and Models of Neutrino Mixing

Reference 5

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Observation b7a1f0c1-b3b2-4f07-a421-e27dcbff27b3 · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Non-Abelian Discrete Symmetries in Particle Physics

Reference 6

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Observation 7e5dd84d-64b4-4430-aaeb-a04c45a321d3 · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unified Models of Neutrinos, Flavour and CP Violation

Reference 7

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Observation a7c9cf91-58a4-4461-a735-d434f06fbd82 · outbound

This paper cites Neutrino Mass and Mixing with Discrete Symmetry.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Neutrino Mass and Mixing with Discrete Symmetry

Reference 8

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Observation 9a50493d-b2ed-4583-8b61-b484dd3a0288 · outbound

This paper cites Ferrara, D.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Ferrara, D

Reference 9

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 939113d7-cbad-4fd8-a7ee-fd07db062b1e · outbound

This paper cites Are neutrino masses modular forms?.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Are neutrino masses modular forms?

Reference 10

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Observation 63678635-c787-4692-b011-a4efe1cee149 · outbound

This paper cites Lauer, J.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Lauer, J

Reference 11

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Observation 7c6f6de8-d1a0-49ff-85c8-4cc449f3c543 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 12

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8228e6eb-352f-4e17-8e91-8f05b3ea8c32 · outbound

This paper cites Modular flavor symmetric models.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Modular flavor symmetric models

Reference 13

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unresolved
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Observation 63f1d339-8d9a-4291-99c4-5f3c3b02ccef · outbound

This paper cites Finite Modular Groups and Lepton Mixing.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Finite Modular Groups and Lepton Mixing

Reference 14

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Observation b53c5c17-4cd8-4df7-b25a-422b8888ca59 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 15

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Observation 25c25bcf-484d-409b-9d62-14b5cd2d24da · outbound

This paper cites Neutrino Mass and Mixing with Modular Symmetry.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Neutrino Mass and Mixing with Modular Symmetry

Reference 16

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Observation a12d9d1d-ef4a-4e8e-9b07-fafa0ada9db1 · outbound

This paper cites Georgi and S.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Georgi and S

Reference 17

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Observation 9ae235db-f3bf-4983-a9d7-7cd90159e525 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 18

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Observation ce8beff0-43ec-4144-9cf6-a1477f4c8c23 · outbound

This paper cites Georgi, The State of the Art—Gauge Theories , AIP Conf.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Georgi, The State of the Art—Gauge Theories , AIP Conf

Reference 19

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Observation b0fa6709-fad5-45cc-98e2-e5c9f33d1235 · outbound

This paper cites Georgi, H.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Georgi, H

Reference 20

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Observation b2941ef2-68d7-424f-be8e-983d02226802 · outbound

This paper cites SO(10) theory of R-parity and neutrino mass.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry SO(10) theory of R-parity and neutrino mass

Reference 21

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Observation e3ec46aa-48c8-4e80-95d7-08d2e52dc0a8 · outbound

This paper cites Fritzsch and P.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Fritzsch and P

Reference 22

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Observation 5f6ac444-0163-4e8f-9234-0659701a9d5a · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 23

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Observation 6b9f5375-0d4d-4552-889f-a3bf638528a4 · outbound

This paper cites Davidson, B − L as the fourth color within an SU(2)L × U(1)R × U(1) model, Phys.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Davidson, B − L as the fourth color within an SU(2)L × U(1)R × U(1) model, Phys

Reference 24

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation efcc6786-739a-4f93-8ea5-30299dc4cfb0 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 99708074-de44-448b-a506-82b1054b868e · outbound

This paper cites Lowering the scale of Pati-Salam breaking through seesaw mixing.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Lowering the scale of Pati-Salam breaking through seesaw mixing

Reference 26

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Observation e79500b5-ef92-4643-ac31-a00e261ba1d1 · outbound

This paper cites The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry The Interplay Between GUT and Flavour Symmetries in a Pati-Salam x S4 Model

Reference 27

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unresolved
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Observation b77e2001-afb6-4170-b465-2c946da27bf6 · outbound

This paper cites A4 family symmetry and quark-lepton unification.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry A4 family symmetry and quark-lepton unification

Reference 28

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b0a53542-e6e3-4d2b-8a0b-caa3ef0651d5 · outbound

This paper cites A model of quark and lepton mixing.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry A model of quark and lepton mixing

Reference 29

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unresolved
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Observation 8afcd47a-92f3-439b-9b3e-e3bf61008c29 · outbound

This paper cites A to Z of Flavour with Pati-Salam.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry A to Z of Flavour with Pati-Salam

Reference 30

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unresolved
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Observation 7805a5d5-92ad-4bca-894a-b5e0eafdf9d6 · outbound

This paper cites Predictive Pati-Salam theory of fermion masses and mixing.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Predictive Pati-Salam theory of fermion masses and mixing

Reference 31

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c7991dcc-f618-4213-a649-94e521e7a6f9 · outbound

This paper cites Analysis of right-handed Majorana neutrino mass in an $SU(4) \times SU(2)_{L} \times SU(2)_{R}$ Pati--Salam model with democratic texture.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Analysis of right-handed Majorana neutrino mass in an $SU(4) \times SU(2)_{L} \times SU(2)_{R}$ Pati--Salam model with democratic texture

Reference 32

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verified exact
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f107d88d-096f-4b23-adf5-505126501e09 · outbound

This paper cites Pati-Salam models with $A_4$ modular symmetry.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Pati-Salam models with $A_4$ modular symmetry

Reference 33

Resolution
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Unavailable: canonical work link unavailable.

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Observation e8ccc505-b430-426d-8424-b1217ea42f11 · outbound

This paper cites A simplest modular $S_3$ model for leptons.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry A simplest modular $S_3$ model for leptons

Reference 34

Resolution
unresolved
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Observation 56d8053a-42f9-4c67-87b9-63d597204fb1 · outbound

This paper cites Minimal seesaw and leptogenesis with the smallest modular finite group.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Minimal seesaw and leptogenesis with the smallest modular finite group

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.641541Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.641541Z digest=sha256:cc652b66ab020c3bdbc4a79dd6ea2ab70e5d9c1581dc71be812aeeced281af38

Observation 55c42d12-474d-47c0-86e1-54e15e290a8d · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Modular $S_3$ invariant flavor model in SU(5) GUT

Reference 36

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source=pdf_text observed=2026-08-10T23:00:48.645675Z digest=sha256:b86508067da019843c7aad16c192fb4738e54b3960108d83dd1bb29744463a2f

Observation d42301e1-b8bc-492a-b07b-35438f2467bd · outbound

This paper cites SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry SUSY Breaking Constraints on Modular flavor $S_3$ Invariant $SU(5)$ GUT Model

Reference 37

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no resolver link, observed 2026-08-10T23:00:48.649901Z

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source=pdf_text observed=2026-08-10T23:00:48.649901Z digest=sha256:6ac290793eaea2309cae164c625202061c44a61d7e73b37c769d028c2a14da9a

Observation 4e069a56-2874-4522-a337-add9fb85728b · outbound

This paper cites Neutrino phenomenology in the modular $S_3$ seesaw model.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Neutrino phenomenology in the modular $S_3$ seesaw model

Reference 38

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unresolved
no resolver link, observed 2026-08-10T23:00:48.653801Z

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source=pdf_text observed=2026-08-10T23:00:48.653801Z digest=sha256:a6e3038f927f0463c798eba611a65f2b4036c3c9af71e801713022affc4cb84c

Observation 77e2303b-afee-4037-bf2d-62063298b1f6 · outbound

This paper cites Leptonic dipole operator with $\Gamma_2$ modular invariance in light of Muon $(g-2)_\mu$.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Leptonic dipole operator with $\Gamma_2$ modular invariance in light of Muon $(g-2)_\mu$

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:00:49.277160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.658166Z digest=sha256:8a0fdd5997024c0d2701e53f7577419483c9d390b6e4e59f132b1087571ac2e2

Observation 055beb3c-43ce-4565-9261-a4a2d0687e62 · outbound

This paper cites Unification and Fermion Mass Structure.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unification and Fermion Mass Structure

Reference 40

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source=pdf_text observed=2026-08-10T23:00:48.662277Z digest=sha256:06243217443c685620e2349427abdc991508c0f104324b815c6c7877ef805e49

Observation d566eb95-4c95-4793-965c-d4d3c4a09171 · outbound

This paper cites Minkowski, µ → eγ at a Rate of One Out of 109 Muon Decays?, Phys.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Minkowski, µ → eγ at a Rate of One Out of 109 Muon Decays?, Phys

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:00:49.773553Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.666325Z digest=sha256:fa6378e9dc58fa868d848a08d50e34310258807ba23ef009867ad3190495955e

Observation 457facbe-f1ec-48bd-8d69-4b5a9bc25940 · outbound

This paper cites Yanagida, Proc.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Yanagida, Proc

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:00:49.761572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.670483Z digest=sha256:84e579e88b5a180f2a78e988d6b99d2abb7d7d9fc840d2b08a2dfd23b81ad9be

Observation 3659618b-e4ae-4f4f-a342-8284c5249c52 · outbound

This paper cites Complex Spinors and Unified Theories.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Complex Spinors and Unified Theories

Reference 43

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no resolver link, observed 2026-08-10T23:00:48.675415Z

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source=pdf_text observed=2026-08-10T23:00:48.675415Z digest=sha256:16b9370aeb2efbef227cf508ed40a104d72d1e961f817faf1ebcb63352380a64

Observation 2e683ef5-28c2-4a76-ada3-ffb667ac00df · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:00:49.749648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.679695Z digest=sha256:61a8e728c4c26aeb8f4152a24f43e5bf4c8bb1c3c130bcbb9b181b5942e8fe07

Observation 2ef2a44f-3b93-4889-837e-1f1a267b6700 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 45

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unresolved
no resolver link, observed 2026-08-10T23:00:48.683453Z

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source=pdf_text observed=2026-08-10T23:00:48.683453Z digest=sha256:279dde43973beb243d1445fa8e51ad8299ca2c103efe85267d44dc8794b13215

Observation b82974bb-f4ca-4999-b4ea-177a14217469 · outbound

This paper cites Magg and C.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Magg and C

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.687186Z

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source=pdf_text observed=2026-08-10T23:00:48.687186Z digest=sha256:e56e60e3fa91b11c4d31051709d1767d87325e83ef8d9c4ba199d847ee13fb6d

Observation 593f5c44-1883-4cb8-8d4b-0499e9d77639 · outbound

This paper cites Schechter and J.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Schechter and J

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.691073Z

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source=pdf_text observed=2026-08-10T23:00:48.691073Z digest=sha256:420a17995f8c0fbf4e12be8c7dfbc93ba228f72fbd61592ce955075a49aa10e9

Observation a28ffdfa-4393-476a-9ebc-59799832101a · outbound

This paper cites Lazarides, Q.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Lazarides, Q

Reference 48

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no resolver link, observed 2026-08-10T23:00:48.695298Z

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source=pdf_text observed=2026-08-10T23:00:48.695298Z digest=sha256:b1e98ef9a53f74038764bc3b2152dbdc19275c84a3147118412d9d9c45a69c5f

Observation c599d8e7-2909-44cd-b6dc-46f26d99a805 · outbound

This paper cites an unresolved cited work.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Unresolved cited work

Reference 49

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no resolver link, observed 2026-08-10T23:00:48.699413Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.699413Z digest=sha256:92724f15293916b0e614525d65ae74c2f93957e09627afe958cbaf6749e4f615

Observation c721fbf9-1b80-48b1-a440-d337fcdc6b92 · outbound

This paper cites Multiple Scales in Pati-Salam Unification Models.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Multiple Scales in Pati-Salam Unification Models

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.703392Z

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source=pdf_text observed=2026-08-10T23:00:48.703392Z digest=sha256:58814877e3add496ab7ff014ad65fd852b8e5b0eb854a7ef957de3ea76d115f8

Observation aee28b58-1ca2-4dc9-b6c1-f1fbf547ee81 · outbound

This paper cites Minimal Supersymmetric Pati-Salam Theory: Determination of Physical Scales.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Minimal Supersymmetric Pati-Salam Theory: Determination of Physical Scales

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:00:49.227402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.708015Z digest=sha256:995857065ce5c7ffff99af8163717c1682c9d7740d2313dabf12cf91ff3eef59

Observation ec4d5b0b-bf43-455f-bc87-08b11560611e · outbound

This paper cites Georgi and C.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Georgi and C

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:00:49.695434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.711849Z digest=sha256:c5f226a8f15d082661df63f89180543d996272dfbb5f185cc429dbe51bcba4b8

Observation b2c6e9f8-9167-4b7b-8c0e-5e9431b6932d · outbound

This paper cites Neutrino mixing from finite modular groups.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Neutrino mixing from finite modular groups

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.715899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.715899Z digest=sha256:52e755793f03d6a756988a17e7b220b5018057072acd117e811c899dfc5e93d3

Observation e132da11-05c5-48a9-86cb-7a068385fc3e · outbound

This paper cites NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.719904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.719904Z digest=sha256:7c352118b1e61159c6f3deb7e54b66d2a6ba557c700ba36ff639ff177c9824e2

Observation 9c7f2110-b8b8-4523-96c2-24a4c6daada2 · outbound

This paper cites Quantum corrections to neutrino masses and mixing angles.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Quantum corrections to neutrino masses and mixing angles

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.724524Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.724524Z digest=sha256:ce81d56b0ff10a10fd0b2340b3bb4e404c3c794d644a2a0677ac26a386ed1924

Observation 3779bca3-9ef4-4137-9b37-414454342fe7 · outbound

This paper cites Running Neutrino Mass Parameters in See-Saw Scenarios.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Running Neutrino Mass Parameters in See-Saw Scenarios

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.728660Z

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source=pdf_text observed=2026-08-10T23:00:48.728660Z digest=sha256:2fdd45b3fb6bc0b5128b2c7b7558422a876d48040ea0a2d8930c2aa1238e8c87

Observation db6d4f6a-c778-4de4-8de3-1c1e0639a0c1 · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Planck 2018 results. VI. Cosmological parameters

Reference 57

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unresolved
no resolver link, observed 2026-08-10T23:00:48.733196Z

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source=pdf_text observed=2026-08-10T23:00:48.733196Z digest=sha256:9379f740bdc3f7b1a072ff1c518edb4ab27e607b2a0186baeb816c234be282db

Observation 4931e376-4196-4657-ba79-4da496e7a1c3 · outbound

This paper cites Aker et al., Direct neutrino-mass measurement based on 259 days of KATRIN data , arXiv:2406.13516.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Aker et al., Direct neutrino-mass measurement based on 259 days of KATRIN data , arXiv:2406.13516

Reference 58

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unresolved
no resolver link, observed 2026-08-10T23:00:48.737768Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.737768Z digest=sha256:d92db9b52a69218827b155149251c721c2bfef34dcbda42045cce750473ecfae

Observation e4de79b9-aff3-4b03-8fe6-2cece888426b · outbound

This paper cites The Design, Construction, and Commissioning of the KATRIN Experiment.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry The Design, Construction, and Commissioning of the KATRIN Experiment

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.743121Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.743121Z digest=sha256:39e08456082fe03e144cf92cc6f1cda1a7a44e246c2709c071be0437e66c9ad6

Observation e1694c05-9336-42a0-b38a-114c5a48d8ac · outbound

This paper cites Abe et al., Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset, arXiv:2406.11438.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Abe et al., Search for Majorana Neutrinos with the Complete KamLAND-Zen Dataset, arXiv:2406.11438

Reference 60

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unresolved
no resolver link, observed 2026-08-10T23:00:48.747308Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.747308Z digest=sha256:7e2a41344920849fa0cb728da647d97ea61d83592a2ae5b18d960a61e6feaec2

Observation 288f4a00-ac3d-4b1d-b305-9e03534d88b8 · outbound

This paper cites LEGEND-1000 Preconceptual Design Report.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry LEGEND-1000 Preconceptual Design Report

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.751399Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.751399Z digest=sha256:3fee6f80c3406f2e2d7aeb54cf3a92eddfef042f4cd394942e120cfe6fed68d0

Observation f7131711-eeca-41c6-9152-d64288de9746 · outbound

This paper cites NEXO: Neutrinoless double beta decay search beyond $10^{28}$ year half-life sensitivity.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry NEXO: Neutrinoless double beta decay search beyond $10^{28}$ year half-life sensitivity

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.755823Z

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source=pdf_text observed=2026-08-10T23:00:48.755823Z digest=sha256:5bb4c62f9fd76bcc302cba8c0a2ed63a2bd505a4d71b18e61ba08d650af8b707

Observation 98e8aefc-04ea-4a18-a85e-84af39a23302 · outbound

This paper cites Baur, FlavorPy, 2024.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Baur, FlavorPy, 2024

Reference 63

Resolution
parse uncertain
raw_fallback, observed 2026-08-10T23:00:49.683285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.759847Z digest=sha256:aef8de1357dfce52ee06f2c67d7046ad0c8748178cd1578b32ddc8d6a3623a23

Observation df4930e1-fb3c-48dd-b908-f22867e7afd7 · outbound

This paper cites DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations

Reference 64

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no resolver link, observed 2026-08-10T23:00:48.763482Z

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source=pdf_text observed=2026-08-10T23:00:48.763482Z digest=sha256:d55c7a8eda4467ea4fce2d90a36a1fbe8f786f084935f3a7ada74f83cc8cddd3

Observation e922555a-cbd9-4fa8-9aec-c6504e94b862 · outbound

This paper cites Archidiacono et al., Euclid preparation.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Archidiacono et al., Euclid preparation

Reference 65

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unresolved
no resolver link, observed 2026-08-10T23:00:48.767733Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.767733Z digest=sha256:8a87f4d72d8df95de3c05e74bb07a056d7331a1ae197ee7a13b4974ac3c0daa2

Observation 41d7fd1a-8e7c-4748-aea7-34471f8afca7 · outbound

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

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Running quark and lepton parameters at various scales

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.772509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.772509Z digest=sha256:0276908544d9cf01ea60f86ba63dcc7b95e53020f5753ba45d87ed8c8a474615

Observation 62b514b5-d8f4-4c55-bda4-ca99c0c044aa · outbound

This paper cites Towards a complete $A_4 \times SU(5)$ SUSY GUT.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Towards a complete $A_4 \times SU(5)$ SUSY GUT

Reference 67

Resolution
unresolved
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source=pdf_text observed=2026-08-10T23:00:48.776413Z digest=sha256:fe2fc47b52732821232f6d6be791458a65584908025db2e984f5a1e01b9c8fcf

Observation 7b10e120-2f95-414d-abc9-858982d8b004 · outbound

This paper cites Fukugita and T.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Fukugita and T

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:00:49.669810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T23:00:48.780288Z digest=sha256:ee1e39092cfc0e7a72de27251affd61c66ebf3b0802125ca5374333384071c84

Observation f1bd9464-63be-439e-9ccc-b5c0b2038416 · outbound

This paper cites Modular Invariance Faces Precision Neutrino Data.

Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry Modular Invariance Faces Precision Neutrino Data

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-10T23:00:48.783942Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:00:48.783942Z digest=sha256:4cd18da8e3dd9808d56fba801e3aec04d51cef32c3cfd23e9a279a09e5a1d281

Pith citing papers

Observation 7eb682e5-7b98-4cda-8f2d-238ab57d3274 · inbound

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

Phenomenology of Inverse Seesaw Using $S_3$ Modular Symmetry Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-16T12:26:54.610198Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T12:26:54.610198Z digest=sha256:ea58837b9ba6ff4f0de5791e553485de83f9998bd269c8a0eacc6d2a9fe01488

Observation ad2edda0-9d93-4ee7-bc88-8b611df1d480 · 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 Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

Reference 113

Resolution
unresolved
no resolver link, observed 2026-08-16T04:23:44.380076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:23:44.380076Z digest=sha256:9ff58ee51922e60f1a0110979f204d72ddc48b67ac4f592098dbeb567c5ef89e

Observation 21cc008b-6414-46e0-9304-849e0e81465d · 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 Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-02T20:36:40.714912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T20:36:40.714912Z digest=sha256:a788d73bdecb80d36e76fbdeeb06e1b30f1a4f47f63492119b85f06ecd3a580c

Observation 2844c257-0085-4292-8792-4113473ea5da · inbound

Two-loop neutrino mass model with modular $S_4$ symmetry cites this paper.

Two-loop neutrino mass model with modular $S_4$ symmetry Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

Reference 81

Resolution
verified exact
arxiv_id, observed 2026-05-13T02:42:08.713298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-13T02:39:53.090395Z digest=sha256:897822b87743bfbb259b719bf7ad3787e4a8fef63cfa90c526977b1867c32a86

Observation 321d3a2c-cb01-4546-b629-4aba5c373d9c · inbound

A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures cites this paper.

A Non-Holomorphic Modular $A_4$ Framework for Resonant Leptogenesis with Gravitational Wave Signatures Fermion Masses and Mixing in Pati-Salam Unification with $S_3$ Modular Symmetry

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-01T14:27:31.401744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T14:27:31.401744Z digest=sha256:3a384c8d7a5bef50af14596a408939318e9a948e317f152687ff3a88e0fb4e6e