Paper Citation Record · LEDGER

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

As of 7 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 3 inbound Pith citation observations for arXiv:2507.03076.

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

pith.paper-citation-record.v1
2507.03076 v1

Coverage vector

measured 51 of 51 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:26:37.966672Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:21:49.256602Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T03:30:16.734194Z

Reference resolution

51 of 51 outbound references displayed

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External citation measurements

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Outbound references

Observation 7b9ea310-971c-4345-a81a-c329c8049e7e · outbound

This paper cites Vacuum Configurations for Superstrings,.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Vacuum Configurations for Superstrings,

Reference 1

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Observation 39c4658d-af64-42d1-bf19-7a1de112a1d6 · outbound

This paper cites Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds

Reference 2

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Observation 0113610e-1f43-40d3-9811-1c1d7cc3e864 · outbound

This paper cites Heterotic Line Bundle Standard Models.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Heterotic Line Bundle Standard Models

Reference 3

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Observation ecca009e-a0dc-4427-87e3-a313d76e47ae · outbound

This paper cites A Comprehensive Scan for Heterotic SU(5) GUT models.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study A Comprehensive Scan for Heterotic SU(5) GUT models

Reference 4

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Observation 44759166-0d00-4c66-b922-085f6f2d714b · outbound

This paper cites Heterotic Model Building: 16 Special Manifolds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Heterotic Model Building: 16 Special Manifolds

Reference 5

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Observation 58f1f6b5-a79a-42f7-8a57-7d10f9f67c07 · outbound

This paper cites Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Heterotic Line Bundle Models on Elliptically Fibered Calabi-Yau Three-folds

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T20:26:37.726800Z

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Observation 2d675df3-f12d-474a-872b-4d2515bb69b4 · outbound

This paper cites Counting String Theory Standard Models.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Counting String Theory Standard Models

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T20:26:37.734515Z

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Observation cbe3e603-4688-4cd1-93a6-8412cdc9ec2f · outbound

This paper cites Explore and Exploit with Heterotic Line Bundle Models.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Explore and Exploit with Heterotic Line Bundle Models

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T20:26:37.739753Z

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Observation 7bdfa560-a1a8-4453-92f7-dc7c8d382815 · outbound

This paper cites Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Decoding Nature with Nature's Tools: Heterotic Line Bundle Models of Particle Physics with Genetic Algorithms and Quantum Annealing

Reference 9

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Observation f52bbd02-2631-4a41-b9b0-94beeef39d44 · outbound

This paper cites Hubsch, Calabi-Yau manifolds: A Bestiary for physicists.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Hubsch, Calabi-Yau manifolds: A Bestiary for physicists

Reference 10

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Observation 27472bf1-3a13-4653-b012-e1ce52c253d7 · outbound

This paper cites Exploring Positive Monad Bundles And A New Heterotic Standard Model.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Exploring Positive Monad Bundles And A New Heterotic Standard Model

Reference 11

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Observation 661248df-71eb-478b-9559-3012f8e4c5db · outbound

This paper cites Cohomology of Line Bundles: A Computational Algorithm.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Cohomology of Line Bundles: A Computational Algorithm

Reference 12

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Observation 172a2fec-f477-4c2b-ba56-236e66de635e · outbound

This paper cites pyCICY - A python CICY toolkit, 10.5281/zenodo.3243914, [github-link], (2019),.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study pyCICY - A python CICY toolkit, 10.5281/zenodo.3243914, [github-link], (2019),

Reference 13

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Observation a7ac8159-3af2-4a6e-a9a8-bb7dbe3fd984 · outbound

This paper cites Formulae for Line Bundle Cohomology on Calabi-Yau Threefolds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Formulae for Line Bundle Cohomology on Calabi-Yau Threefolds

Reference 14

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Observation 62c7f94a-97c1-48dc-896b-b36ead698800 · outbound

This paper cites Machine Learning Line Bundle Cohomologies of Hypersurfaces in Toric Varieties.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Machine Learning Line Bundle Cohomologies of Hypersurfaces in Toric Varieties

Reference 15

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Observation 2df5314e-526b-4edf-9d07-69b140facd63 · outbound

This paper cites Line bundle cohomologies on CICYs with Picard number two.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Line bundle cohomologies on CICYs with Picard number two

Reference 16

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Observation 774abec5-3724-4f9e-8f3a-5937f7bf59a6 · outbound

This paper cites Machine Learning Line Bundle Cohomology.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Machine Learning Line Bundle Cohomology

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T20:26:37.790150Z

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Observation 3197a73a-1e69-4ceb-8d33-3d1bc59b04fa · outbound

This paper cites Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi-Yau Three-folds

Reference 18

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Observation 49c6f2ad-2ec8-4983-b8a9-b3c48db388f1 · outbound

This paper cites Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology on Calabi-Yau Three-folds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Flops, Gromov-Witten Invariants and Symmetries of Line Bundle Cohomology on Calabi-Yau Three-folds

Reference 19

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Observation 78a34894-ab4f-44b0-b35e-e20b0f99021a · outbound

This paper cites Geodesics in the extended K\"ahler cone of Calabi-Yau threefolds.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Geodesics in the extended K\"ahler cone of Calabi-Yau threefolds

Reference 20

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Observation 191d9100-d6b9-4c96-9a38-bfa04f90259d · outbound

This paper cites Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Generating Functions for Line Bundle Cohomology Dimensions on Complex Projective Varieties

Reference 21

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Observation 6863d420-e5f4-4c4c-a510-768528259e95 · outbound

This paper cites Calabi-Yau Metrics for Quotients and Complete Intersections.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Calabi-Yau Metrics for Quotients and Complete Intersections

Reference 22

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This paper cites Numerical Calabi-Yau metrics.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical Calabi-Yau metrics

Reference 23

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical solution to the hermitian Yang-Mills equation on the Fermat quintic

Reference 24

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical Hermitian Yang-Mills Connections and Kahler Cone Substructure

Reference 25

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical Hermitian Yang-Mills Connections and Vector Bundle Stability in Heterotic Theories

Reference 26

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Observation 04c83e45-cfde-49c7-9575-5e96f3c59455 · outbound

This paper cites Holomorphic Yukawa Couplings in Heterotic String Theory.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Holomorphic Yukawa Couplings in Heterotic String Theory

Reference 27

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Holomorphic Yukawa Couplings for Complete Intersection Calabi-Yau Manifolds

Reference 28

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Observation 857825d5-faf3-4441-9a46-b421cc8ce0c0 · outbound

This paper cites Machine learning Calabi-Yau metrics.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Machine learning Calabi-Yau metrics

Reference 29

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Moduli-dependent Calabi-Yau and SU(3)-structure metrics from Machine Learning

Reference 30

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Neural Network Approximations for Calabi-Yau Metrics

Reference 31

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical Calabi-Yau metrics from holomorphic networks

Reference 32

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Learning Size and Shape of Calabi-Yau Spaces

Reference 33

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical Metrics for Complete Intersection and Kreuzer-Skarke Calabi-Yau Manifolds

Reference 34

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Machine Learning Line Bundle Connections

Reference 35

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces

Reference 36

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Computation of Quark Masses from String Theory

Reference 37

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Physical Yukawa Couplings in Heterotic String Compactifications

Reference 38

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Hierarchy of quark masses, cabibbo angles and CP violation,

Reference 39

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Fermion Masses and Mixing in String-Inspired Models

Reference 40

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Yukawa Unification in Heterotic String Theory

Reference 41

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study A Heterotic QCD Axion

Reference 42

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study The Moduli Space of Heterotic Line Bundle Models: a Case Study for the Tetra-Quadric

Reference 43

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Non-generic Couplings in Supersymmetric Standard Models

Reference 44

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study On Free Quotients of Complete Intersection Calabi-Yau Manifolds

Reference 45

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study The mu Problem and the Strong CP Problem,

Reference 46

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Review of particle physics,

Reference 47

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Hodge Numbers for All CICY Quotients

Reference 48

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study This can reduce the rank of the Yukawa matrices

Reference 49

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Observation 9723074b-e1e5-485a-b30e-60b44d4b2b0a · outbound

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Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study Unresolved cited work

Reference 50

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Observation 9b12a859-9469-43b8-8cc5-aca04b11cd57 · outbound

This paper cites These include the Yukawa coefficients, the up-type Higgs VEV, the unsup- pressed singlet VEVs and the entries of V u, V d, U e and V e.

Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study These include the Yukawa coefficients, the up-type Higgs VEV, the unsup- pressed singlet VEVs and the entries of V u, V d, U e and V e

Reference 51

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T20:26:38.967367Z

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Pith citing papers

Observation 6c3ffe3d-5185-45e6-afb3-632bda6d730f · inbound

What to do with a Ricci-flat Calabi--Yau metric? cites this paper.

What to do with a Ricci-flat Calabi--Yau metric? Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-25T03:30:16.736141Z

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Observation 660e3651-617b-435f-a752-a7e65e91e7c9 · inbound

What to do with a Ricci-flat Calabi--Yau metric? cites this paper.

What to do with a Ricci-flat Calabi--Yau metric? Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-02T13:21:49.256602Z

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Observation eb59e725-37d6-4b5c-b7b2-ffa0f39bd189 · inbound

Warped Numerical Calabi-Yau Metrics cites this paper.

Warped Numerical Calabi-Yau Metrics Reproducing Standard Model Fermion Masses and Mixing in String Theory: A Heterotic Line Bundle Study

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T15:35:43.364155Z

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