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Paper Citation Record · LEDGER

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups

As of 23 August 2026, this Paper Citation Record lists 100 of 112 outbound references and 0 inbound Pith citation observations for arXiv:1908.06621.

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

pith.paper-citation-record.v1
1908.06621 v3

Coverage vector

measured 100 of 112 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T12:51:46.457840Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

100 of 112 outbound references displayed

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  • verified fuzzy0
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Outbound references

Observation 9bb64176-2e90-4b3c-839d-db96dbf21c79 · outbound

This paper cites Evidence for F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Evidence for F-Theory

Reference 1

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source=pdf_text observed=2026-08-14T12:51:46.034211Z digest=sha256:186d702623fa2c926962ba27da7dd420ce7372b9a56126ee8a994ea051f29508

Observation 06f9259a-58fd-4470-8c07-28486bd47136 · outbound

This paper cites Compactifications of F-Theory on Calabi--Yau Threefolds -- I.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Compactifications of F-Theory on Calabi--Yau Threefolds -- I

Reference 2

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source=pdf_text observed=2026-08-14T12:51:46.039635Z digest=sha256:c48eb7df02559c4a71548b5ade56406517aae4b0b0b0ccc18e7005e71b6d1cab

Observation 23dcfdaa-78ed-4ad9-aa28-ef7249a135cb · outbound

This paper cites Compactifications of F-Theory on Calabi--Yau Threefolds -- II.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Compactifications of F-Theory on Calabi--Yau Threefolds -- II

Reference 3

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source=pdf_text observed=2026-08-14T12:51:46.044052Z digest=sha256:8b54fdbaaa7f975f8297ddbe130d1239cddee941ac502563e1fd3ee7f4b45aff

Observation 0f751cea-6c60-4077-8136-1fd2189c4144 · outbound

This paper cites Stringy origin of non-Abelian discrete flavor symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Stringy origin of non-Abelian discrete flavor symmetries

Reference 4

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source=pdf_text observed=2026-08-14T12:51:46.048480Z digest=sha256:086a6df3e24283c8f5740f6f55b949367b5ff411a9feaa8a614c92df68f2da58

Observation 8cc7c9e0-fa45-44f9-95bf-ca4899631168 · outbound

This paper cites Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian Discrete Flavor Symmetries from Magnetized/Intersecting Brane Models

Reference 5

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source=pdf_text observed=2026-08-14T12:51:46.052926Z digest=sha256:924671697dca3a247d4e97abe3da6f998b3286a9fae36afadfec010c1445d7b6

Observation c1dde881-3a71-4946-a398-a1ad6b56b2d6 · outbound

This paper cites Symmetries and Strings in Field Theory and Gravity.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Symmetries and Strings in Field Theory and Gravity

Reference 6

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source=pdf_text observed=2026-08-14T12:51:46.057427Z digest=sha256:15dd484d7b549e9c3f0dec464aa6f9e3e9b4aa3035bf60ee6b03390263db4b3e

Observation a59f2bc6-c171-4b7e-90b8-c0b21f79d64f · outbound

This paper cites Sums over topological sectors and quantization of Fayet-Iliopoulos parameters.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Sums over topological sectors and quantization of Fayet-Iliopoulos parameters

Reference 7

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source=pdf_text observed=2026-08-14T12:51:46.063277Z digest=sha256:e063fae2ba92ced585065da140cd3e7128e28c69dbbdabc1284553347a29c808

Observation bef53b56-804d-43c0-a220-0d770c7c970b · outbound

This paper cites RR photons.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups RR photons

Reference 8

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source=pdf_text observed=2026-08-14T12:51:46.067487Z digest=sha256:18395904d22fd806dc6d4e607d56d680946a025f5807c2f274134ef3f0c7b53e

Observation f0115032-4275-4ffc-b22c-1e0dee8f32c9 · outbound

This paper cites Discrete gauge symmetries in D-brane models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete gauge symmetries in D-brane models

Reference 9

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source=pdf_text observed=2026-08-14T12:51:46.071914Z digest=sha256:1305da01402fb4d259a10f549bd9547a7083d22ff29ff010294a69d6bc54cf35

Observation 7f190381-32c1-48d9-b8e4-f2bbb7ff8407 · outbound

This paper cites Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Symmetries in Discrete MSSM-like Orientifolds

Reference 10

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source=pdf_text observed=2026-08-14T12:51:46.076114Z digest=sha256:c13c62df28cdc216b4edac4ee4e57eb514a28bd56a750bdc551f4b35f3aa161d

Observation 3f26b2f6-f8d3-4c66-ab02-3e9c1bea49d4 · outbound

This paper cites Non-Abelian discrete gauge symmetries in 4d string models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian discrete gauge symmetries in 4d string models

Reference 11

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source=pdf_text observed=2026-08-14T12:51:46.080160Z digest=sha256:d21e8f7a95ea9d42c0c26ee5013952d272a12a7dae3080aa7c03d329e992a4d0

Observation acaa994a-b9b9-40f3-b591-24c31d601815 · outbound

This paper cites Zp charged branes in flux compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Zp charged branes in flux compactifications

Reference 12

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source=pdf_text observed=2026-08-14T12:51:46.084387Z digest=sha256:336d3204cf4253f4e34217670f2c6c3b14a9fba44a714c7f1204d090b91a5edb

Observation 986fcfbf-7384-4f20-a7ea-1d7d5f62f0ea · outbound

This paper cites Discrete flavor symmetries in D-brane models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete flavor symmetries in D-brane models

Reference 13

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source=pdf_text observed=2026-08-14T12:51:46.088580Z digest=sha256:621a860697ba547860ae3b2499ba767edb1949da58b65d402f9c6ed23e38bbc3

Observation 11db1f9a-4d66-4365-af0c-0cd336d8d10a · outbound

This paper cites To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups To Tilt or Not To Tilt: Discrete Gauge Symmetries in Global Intersecting D-Brane Models

Reference 14

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source=pdf_text observed=2026-08-14T12:51:46.092622Z digest=sha256:12b6f2fef5e1b0822c191f2bb2fdeb7a00dd5c33628c237b575ff2ed02274faf

Observation 9ad0feae-7e2d-487d-a350-bd97fe77a543 · outbound

This paper cites Antisymmetric tensor Z_p gauge symmetries in field theory and string theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Antisymmetric tensor Z_p gauge symmetries in field theory and string theory

Reference 15

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source=pdf_text observed=2026-08-14T12:51:46.096969Z digest=sha256:de8934a991b1dd55126d5e93a134c66b98b7ea968bba30343dc3fb6e97aca7d4

Observation 196bf9d0-fedd-4ad2-88e7-60fef2903bfb · outbound

This paper cites Discrete Family Symmetry from F-Theory GUTs.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Family Symmetry from F-Theory GUTs

Reference 16

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source=pdf_text observed=2026-08-14T12:51:46.101022Z digest=sha256:99a43fcd283d61887b748589bb5442cd2b94422be4dc0fadf0c68ecc349a846e

Observation cf0f8a4c-d283-4b93-998f-1b2627fd0749 · outbound

This paper cites Discrete Abelian gauge symmetries and axions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Abelian gauge symmetries and axions

Reference 17

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source=pdf_text observed=2026-08-14T12:51:46.105219Z digest=sha256:e5ea82b3f492bd0f19a84f4812799015b1215665a454cf91c8d60a3194672ad6

Observation 21a63c5f-9e52-4d80-84da-68f713672793 · outbound

This paper cites Non-Abelian discrete gauge symmetries in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Abelian discrete gauge symmetries in F-theory

Reference 18

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source=pdf_text observed=2026-08-14T12:51:46.110093Z digest=sha256:7d9ff25f685029f1ef851decf48c55d91100efdc2f2f355ae97743c035a64646

Observation c2dcd3f5-52cb-474e-949d-3ec8cb920b56 · outbound

This paper cites Sections, multisections, and U(1) fields in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Sections, multisections, and U(1) fields in F-theory

Reference 19

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source=pdf_text observed=2026-08-14T12:51:46.114329Z digest=sha256:a116eeff7580734e2a4b8dc0855c143311cdb0d9e619b287d7cafbf74bc5bb47

Observation 1e26f450-ef9f-4ce1-a5fa-94656fd66383 · outbound

This paper cites F-theory on Genus-One Fibrations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory on Genus-One Fibrations

Reference 20

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source=pdf_text observed=2026-08-14T12:51:46.118359Z digest=sha256:841ed4b2a328ea46dc2b5b362139650c753581e59a056f0d4decfcc130332de1

Observation d1037dea-0a7d-40a9-9756-933aa46b1460 · outbound

This paper cites Physics of F-theory compactifications without section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Physics of F-theory compactifications without section

Reference 21

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source=pdf_text observed=2026-08-14T12:51:46.122483Z digest=sha256:7d2d424c1c86f669dc0fbc9dc1e71eebf35cafaf28b8f4133185e993f54e0c6f

Observation fe811e5a-7f3f-4832-98f6-24ac9ac70842 · outbound

This paper cites F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory on all Toric Hypersurface Fibrations and its Higgs Branches

Reference 22

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source=pdf_text observed=2026-08-14T12:51:46.126388Z digest=sha256:4bb77fecdba07a1b80738854f906b14d3c6e3719caf67406c06ea593da1c7c8f

Observation 67e53343-428f-4f85-ae0d-842ab961cf1e · outbound

This paper cites Yukawas and discrete symmetries in F-theory compactifications without section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Yukawas and discrete symmetries in F-theory compactifications without section

Reference 23

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source=pdf_text observed=2026-08-14T12:51:46.130611Z digest=sha256:038f4ee978b297604b65abd54f06f45556240392ae74b1f859fbaee016160e6f

Observation d3b1273b-9a14-4247-92ef-ec7c209a0ef5 · outbound

This paper cites Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Symmetries by Higgsing in four-dimensional F-Theory Compactifications

Reference 24

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source=pdf_text observed=2026-08-14T12:51:46.134620Z digest=sha256:8e2e6a50d09f1da8efabafccaf94121a825bc41593c6a73ee0ae6dea43e139b8

Observation 4ac97ac1-6812-4c76-a499-d30ed379ec25 · outbound

This paper cites On Discrete Symmetries and Torsion Homology in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Discrete Symmetries and Torsion Homology in F-Theory

Reference 25

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source=pdf_text observed=2026-08-14T12:51:46.138348Z digest=sha256:69beae0927280b763e6f32783f339d8665e5eef3ae203513c42fdfb91b42c434

Observation 95e0618f-2eb2-4688-93ec-7cd0a8c6e3d0 · outbound

This paper cites Complete Intersection Fibers in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Complete Intersection Fibers in F-Theory

Reference 26

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source=pdf_text observed=2026-08-14T12:51:46.142373Z digest=sha256:9a61e4aaae9f192a1591b8a6337925450141cc8724f5fe56d38770ad8c47d6a4

Observation 29502f7e-2e7b-4abf-972e-a9dcd85dc68e · outbound

This paper cites F-Theory Vacua with Z_3 Gauge Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Vacua with Z_3 Gauge Symmetry

Reference 27

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source=pdf_text observed=2026-08-14T12:51:46.146450Z digest=sha256:c44c6a010ec12893c6aff0981e98fdd12542ffccf40a31a52061bc96839f947d

Observation 8ddb81f5-c91d-4909-8d93-933beb256e52 · outbound

This paper cites Fluxes in F-theory Compactifications on Genus-One Fibrations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Fluxes in F-theory Compactifications on Genus-One Fibrations

Reference 28

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source=pdf_text observed=2026-08-14T12:51:46.150741Z digest=sha256:af59c70f48f323750292f880950ae911f93686ee0aac4c23f7fe45dbe4f805f0

Observation 8319f047-562f-4865-8465-accc621688b0 · outbound

This paper cites Gauge Groups and Matter Fields on Some Models of F-theory without Section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Groups and Matter Fields on Some Models of F-theory without Section

Reference 29

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.154732Z digest=sha256:a84a5b078e93aaa4aca7dd4d9f8c6a8418bd9a4d57c8c437a7bd5d17da198bad

Observation 9e4c969d-2f77-4c1a-8cc4-b023a206d42e · outbound

This paper cites Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge symmetries and matter fields in F-theory models without section- compactifications on double cover and Fermat quartic K3 constructions times K3

Reference 30

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source=pdf_text observed=2026-08-14T12:51:46.158642Z digest=sha256:96bbb129e72b3356ee46a0aa8741b4f0733ba634e72c336411160e9781d436b9

Observation 811f7499-a20f-44a6-8b6d-4d5c9848fc6b · outbound

This paper cites Mordell-Weil Torsion in the Mirror of Multi-Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Mordell-Weil Torsion in the Mirror of Multi-Sections

Reference 31

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local_arxiv, observed 2026-08-14T12:51:47.791016Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.162862Z digest=sha256:a14a143f04aa582fb6b0783cb9c7dbf5b6b9deb3316b4af5323550979b908b47

Observation 4db3aa4f-03a0-4e8d-8ebe-2c5a284e43c8 · outbound

This paper cites Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge groups and matter spectra in F-theory compactifications on genus-one fibered Calabi-Yau 4-folds without section - hypersurface and double cover constructions

Reference 32

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local_arxiv, observed 2026-08-14T12:51:47.775112Z

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source=pdf_text observed=2026-08-14T12:51:46.168133Z digest=sha256:a06ebbb15347773fc8d48cd93304ad10ceca44456e7594d7c0de4a563579310f

Observation 12a8e297-fe67-40a7-9cd9-4812fa2c3c09 · outbound

This paper cites Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Symmetries in Heterotic/F-theory Duality and Mirror Symmetry

Reference 33

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local_arxiv, observed 2026-08-14T12:51:47.758502Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.172332Z digest=sha256:be907ba9fa15ddb091ab35f7bfdc98031c69139038258355232f693dc276edc3

Observation 80efe120-0cce-4d71-9ec6-6f4bf9c7689c · outbound

This paper cites Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete Gauge Groups in F-theory Models on Genus-One Fibered Calabi-Yau 4-folds without Section

Reference 34

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verified exact
local_arxiv, observed 2026-08-14T12:51:47.741508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.176435Z digest=sha256:74b11deccf62f64816e6dbacb2248aea8319d5340753661e1748b34cb4692428

Observation 7ee19ef7-8b41-4925-a3e7-27a51fc032b9 · outbound

This paper cites K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications

Reference 35

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.724087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.180510Z digest=sha256:00d9b896fa8ea931a6f838097ce6b195ba8158ebbe99342862f3b6eaa78f370e

Observation 7005e84b-fefc-4863-bc8f-a7171c4667b7 · outbound

This paper cites F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory on Quotient Threefolds with (2,0) Discrete Superconformal Matter

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.184424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.184424Z digest=sha256:116183a7b63e3511a15ed628e17e163d81e425f29187d76fecb337987bfda595

Observation 5db25daa-a5b5-4652-bbfe-8bee98630230 · outbound

This paper cites $SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups $SU(n) \times \mathbb{Z}_2$ in F-theory on K3 surfaces without section as double covers of Halphen surfaces

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.693583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.188569Z digest=sha256:4ac4dcbfae4315ce0f1c3bb2b4d6c926d6d864d49c0abab454f9c786a68bd5a9

Observation 3ea6cd38-921a-4ff4-b2a8-df837cc4dda1 · outbound

This paper cites TASI Lectures on F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups TASI Lectures on F-theory

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.193503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.193503Z digest=sha256:5f1d2bb0de8b210700702ec31118b0abf7b4fd5b2cae2e9a6e15df5d723f461c

Observation 36272622-b0ba-46cf-b587-bc72951fc7c2 · outbound

This paper cites An F-theory Realization of the Chiral MSSM with $\mathbb{Z}_2$-Parity.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups An F-theory Realization of the Chiral MSSM with $\mathbb{Z}_2$-Parity

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.664918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.199705Z digest=sha256:ea4343b3effcb6c3e4429798191f3178f61ea759f7515a9ed6a60c5eaa69e87c

Observation d0445713-c4ca-4af3-9da7-d69fc74bd7eb · outbound

This paper cites TASI Lectures on Abelian and Discrete Symmetries in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups TASI Lectures on Abelian and Discrete Symmetries in F-theory

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.204634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.204634Z digest=sha256:8ea531aa40cc59c6a339a8ec1ff491715e7bf9e6137768299f81fbbf9b481bfd

Observation 4c197e13-bef6-416c-8e93-6583a1713e8e · outbound

This paper cites On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On the prevalence of elliptic and genus one fibrations among toric hypersurface Calabi-Yau threefolds

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.208858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.208858Z digest=sha256:632a0ba88efbf5e39168a471cdc9521ff6707d81eb1c7a36e0863a5778e5138f

Observation 0e522eda-0271-414e-bfa2-f99a991596e4 · outbound

This paper cites Nongeometric heterotic strings and dual F-theory with enhanced gauge groups.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Nongeometric heterotic strings and dual F-theory with enhanced gauge groups

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.623947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.213520Z digest=sha256:81bbcca8e93e5400e50c0799d4b8380779c18667d5e549382c0e9190aad0a7c6

Observation b0194cdd-4bea-4c02-b3d5-90462cbfe03f · outbound

This paper cites Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Unbroken $E_7\times E_7$ nongeometric heterotic strings, stable degenerations and enhanced gauge groups in F-theory duals

Reference 43

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.605922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.217281Z digest=sha256:6359d95a5a5afe2780237bfa07a7f31974f76aa49028327fff30572f9bb1cbc5

Observation f59403fa-2946-45f3-9da3-31b322e378aa · outbound

This paper cites Discrete gauge groups in certain F-theory models in six dimensions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Discrete gauge groups in certain F-theory models in six dimensions

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.588574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.222180Z digest=sha256:ee424b567c0a295dd3a19caf45c2a6b83af764fc4644c0c234bc7de3869b5d55

Observation 3ed49f56-b7d5-4f8c-95e5-fd80a4edf628 · outbound

This paper cites A note on transition in discrete gauge groups in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A note on transition in discrete gauge groups in F-theory

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.571247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.227560Z digest=sha256:fe9df29777d30c7d240b7b273fa64224b95c1b9625e5b99e362e328b983155d1

Observation 07940f57-3847-48fd-93d6-60c7e536fd5c · outbound

This paper cites Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elevating the Free-Fermion $Z_2\times Z_2$ Orbifold Model to a Compactification of F-Theory

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.553653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.232573Z digest=sha256:4cf1a45b85ed596b5dcf2618578dc739e2db433f99f0ca2fbf9eb31dd5f0b36a

Observation 19090159-7f87-4d52-b93a-c0fc0630b9b8 · outbound

This paper cites Triples, fluxes, and strings.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Triples, fluxes, and strings

Reference 47

Resolution
verified exact
raw_fallback, observed 2026-08-14T12:51:47.535058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.237921Z digest=sha256:8a69fb0c48a81aab426993cbba454c1b6c6b1b4f4bd10778f46142a7c58e74d5

Observation 5092dbe3-a930-494b-b6b3-1161ac4e94f2 · outbound

This paper cites F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory and the Mordell-Weil Group of Elliptically-Fibered Calabi-Yau Threefolds

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.241622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.241622Z digest=sha256:2b6793bf044289cabb0391bdc31cb5928786dd1be78f553b94896965eb2555b9

Observation 2bf93c9f-368b-40d7-9821-58a971ad939d · outbound

This paper cites U(1) symmetries in F-theory GUTs with multiple sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups U(1) symmetries in F-theory GUTs with multiple sections

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.394224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.245730Z digest=sha256:a6712564658e3633236bbe8252211ca62bca662d484d0cdf8484afb893ff2fd5

Observation ffb40156-741a-4acd-b12d-85209c548b67 · outbound

This paper cites New Global F-theory GUTs with U(1) symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups New Global F-theory GUTs with U(1) symmetries

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.378330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.250368Z digest=sha256:c4e3043c036202a276f51100c4bad23903482d3ea3a0cf5e79a08eec794f1a90

Observation b556ea5e-2dfc-4faa-bce9-9c4885cddd55 · outbound

This paper cites Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elliptic fibrations for SU(5) x U(1) x U(1) F-theory vacua

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.362129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.254733Z digest=sha256:b7324d354cf43780cfdb9aa27ee568cf4c0e2159db2189bcab9d49ca6b632405

Observation f89f8d90-af9a-45c7-9869-62944c35051e · outbound

This paper cites F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Compactifications with Multiple U(1)-Factors: Constructing Elliptic Fibrations with Rational Sections

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.345049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.258776Z digest=sha256:109e8d72de37b1aaef637123d2b276f0e960a07e49412dca395f7884a6d93597

Observation 671f0566-9014-479e-841d-da1220105a22 · outbound

This paper cites Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Geometric Engineering in Toric F-Theory and GUTs with U(1) Gauge Factors

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.262880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.262880Z digest=sha256:a932b36e466489d60edc8fd21f7fbf6fea5475806b2ecb6ef38cd1dd1d215f58

Observation 9bcdac42-25a5-4cb4-90a6-b23f7954d008 · outbound

This paper cites Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Chiral Four-Dimensional F-Theory Compactifications With SU(5) and Multiple U(1)-Factors

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.316084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.266974Z digest=sha256:390e78dd3e3df25f5adf18142cfb307cf67f2ab782c0fbddb73d76d0e72ef715

Observation c595e42b-27ff-4bc4-86c3-25f991e124c6 · outbound

This paper cites F-Theory Compactifications with Multiple U(1)-Factors: Addendum.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-Theory Compactifications with Multiple U(1)-Factors: Addendum

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.299100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.271194Z digest=sha256:dafa7ea0e11c69d2bb7ddd9d08a616e89a38c8c7bc0a2cfa4d6a25012f62aa57

Observation 0b2d40d7-e5d6-4927-9ecf-9c5b0be521b3 · outbound

This paper cites Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Elliptic Fibrations with Rank Three Mordell-Weil Group: F-theory with U(1) x U(1) x U(1) Gauge Symmetry

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.282595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.275484Z digest=sha256:25e4d56e59a11b5c78b0a4f72150697a4174ee5ec70845b8d7b8c7a625a55f36

Observation 8e976366-c2de-4115-9d2a-3c9d5471a3cc · outbound

This paper cites F-theory Family Unification.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory Family Unification

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.279859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.279859Z digest=sha256:b5df88e398628d08282478e522b418aa99ed8c5c63e942ae445379318018a41d

Observation 729321b3-5f19-438f-86b3-87858c41a7c9 · outbound

This paper cites F-GUTs with Mordell-Weil U(1)'s.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-GUTs with Mordell-Weil U(1)'s

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.255534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.284075Z digest=sha256:e6dbbc2c405c92fa31467045cadcfd9c09ac9605f6ead5fa08f35ace84f5ef16

Observation cdf92ed5-1344-4583-8f2b-9b0aeec5abf1 · outbound

This paper cites A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable Degenerations

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.239258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.288240Z digest=sha256:bf5a3dadeda8b882c8aa94275baa1c831836857062bca60623ca7576c5911dfb

Observation 71cf32a5-f117-4ed3-a3fb-e5e7197b51fa · outbound

This paper cites F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory and All Things Rational: Surveying U(1) Symmetries with Rational Sections

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.222287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.292437Z digest=sha256:20af20f1bd0ad00a22a998316cc4a008de4fea878fd59f3a9af99102826813f8

Observation 29bfdd1f-6c77-46e5-a4f7-00b003500fcd · outbound

This paper cites General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups General U(1)xU(1) F-theory Compactifications and Beyond: Geometry of unHiggsings and novel Matter Structure

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.203913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.296662Z digest=sha256:b94b53b7baafad6fd60fb00046868a7b97e7b4234091fea8a0b4c98d40f9f738

Observation df041c79-643f-4077-9ef0-fc980c4301ef · outbound

This paper cites Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Origin of Abelian Gauge Symmetries in Heterotic/F-theory Duality

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.300771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.300771Z digest=sha256:25861255cb25ea7c15f099ef4c755c0c39c87168f918a823bd18fc16747e1c06

Observation 23d05cb2-66d5-4668-871b-5402f9dc4c4e · outbound

This paper cites Tall sections from non-minimal transformations.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Tall sections from non-minimal transformations

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.173987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.305022Z digest=sha256:9fbe100e2a4b954cfcf2726e280858b0ee368e14948f72cd80d24308fcd3e5e2

Observation 1f207852-f68a-42c5-9864-a4a6073064b3 · outbound

This paper cites Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Higgsable abelian gauge symmetry and F-theory on fiber products of rational elliptic surfaces

Reference 64

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.156124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.309156Z digest=sha256:d1cf0eac4899605ca121df2c2ad9ca0d7797765ce99308ef4ba4c62c9c37699f

Observation 9b11c6bb-07d4-4321-a17c-94ca07ab813d · outbound

This paper cites Gauge Backgrounds and Zero-Mode Counting in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Backgrounds and Zero-Mode Counting in F-Theory

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.313193Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.313193Z digest=sha256:aabed268818246b30ca629a1d74ace970dc2083291a2c4968476933519644b99

Observation 7449cf62-4c25-455d-a871-e91fd5b22aba · outbound

This paper cites The Global Gauge Group Structure of F-theory Compactification with U(1)s.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Global Gauge Group Structure of F-theory Compactification with U(1)s

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.317511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.317511Z digest=sha256:86235bbe4dabccc155c5916a793a65ee36efe55aabe664a86af27df13a26d3e5

Observation 5f0382f2-c272-4c69-8913-3d88a8edc4b7 · outbound

This paper cites Algebraic Cycles and Local Anomalies in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Algebraic Cycles and Local Anomalies in F-Theory

Reference 67

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local_arxiv, observed 2026-08-14T12:51:47.113558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.321601Z digest=sha256:bd96106431e68e62a56891626401c9560e25908eed77c250cef205e0c45fc34c

Observation 7b92a072-30c4-4aa6-8d35-ea19a76009fe · outbound

This paper cites Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Enhancements in F-theory models on moduli spaces of K3 surfaces with $ADE$ rank 17

Reference 68

Resolution
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local_arxiv, observed 2026-08-14T12:51:47.095913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.325770Z digest=sha256:a67b0a96758cba04f5512f332993802913e58b2ff4af47b7ea7f42807ce0ec2d

Observation de73444b-217f-4088-b915-99c8d064ab17 · outbound

This paper cites F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory models on K3 surfaces with various Mordell-Weil ranks -constructions that use quadratic base change of rational elliptic surfaces

Reference 69

Resolution
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local_arxiv, observed 2026-08-14T12:51:47.078024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.329762Z digest=sha256:493f0fb813eb8ded5ac2e45639d9c03bf315201cfe3efc1d9db2d63b63fd1bf0

Observation 75eee53a-0baf-4930-9f70-0cc206342238 · outbound

This paper cites 6d SCFTs and U(1) Flavour Symmetries.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups 6d SCFTs and U(1) Flavour Symmetries

Reference 70

Resolution
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no resolver link, observed 2026-08-14T12:51:46.334007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.334007Z digest=sha256:c2ef5404b72f725111dd143f9bf85dac656e9b186be0f31f0a0dbadd76d5f49e

Observation 37199572-b077-4af8-9584-978d379854eb · outbound

This paper cites Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Non-Cartan Mordell-Weil lattices of rational elliptic surfaces and heterotic/F-theory compactifications

Reference 71

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.048925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.338253Z digest=sha256:949ad3475e4f046629ffc003f5c92ca50c9553112db4a31c1eeaaa193087e07c

Observation 2a5206e7-23e8-4b92-851c-805894ee7b16 · outbound

This paper cites High U(1) charges in type IIB models and their F-theory lift.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups High U(1) charges in type IIB models and their F-theory lift

Reference 72

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.031365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.342544Z digest=sha256:cb558f86fd6cc5d74b3aa7b097703ea338f8edfcb0e965551a28cfcbf766741d

Observation 8187815f-4fab-46d2-9ec8-4e4ab876df67 · outbound

This paper cites Generic matter representations in 6D supergravity theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Generic matter representations in 6D supergravity theories

Reference 73

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.346697Z digest=sha256:d3ba8d716c89d96971369893e5263fffa51848fdb2a5030d195ef18c9e5c235a

Observation e7d15a8c-b053-4cf1-b3ff-528c43e80acc · outbound

This paper cites F-theory models with 3 to 8 U(1) factors on K3 surfaces.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory models with 3 to 8 U(1) factors on K3 surfaces

Reference 74

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:47.003355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.350970Z digest=sha256:a6428b2de713c959fd09e0f377e4efeed8375ceb6a8c733531cc6864ad55f018

Observation 40ba723c-d0a2-4003-b1a7-bca53763eca3 · outbound

This paper cites The Geometry of SO(3), SO(5), and SO(6) models.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Geometry of SO(3), SO(5), and SO(6) models

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.986002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.355065Z digest=sha256:b6cc3b3be5d13096c92d703a4f97746d1feb96dc3bc529e760d4266a70528d88

Observation d06779f2-c0d8-4b35-91fd-da06c7c9248d · outbound

This paper cites Swampland Bounds on the Abelian Gauge Sector.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Swampland Bounds on the Abelian Gauge Sector

Reference 76

Resolution
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no resolver link, observed 2026-08-14T12:51:46.358970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.358970Z digest=sha256:e6d15b8ae759f866272f37f1c3bfc8d80bada472d51fc198a2cecc6b325c710f

Observation cbb14042-1e88-467c-b70e-62a83f12483c · outbound

This paper cites The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups The Arithmetic of Elliptic Fibrations in Gauge Theories on a Circle

Reference 77

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.958869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.362682Z digest=sha256:28fc3764e1bd30a928ba04c98d3f1a7aff3c227e7d6f4bee96261e30f610fb24

Observation 89763ce2-9a53-4be1-a0c1-c7ba936a3df4 · outbound

This paper cites an unresolved cited work.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Unresolved cited work

Reference 78

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no resolver link, observed 2026-08-14T12:51:46.366676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.366676Z digest=sha256:a045143549194e1b1a8a47005a9d068b9bc9d1412d737cf713a4d61f4d98d53e

Observation 35e36d49-b29d-4e84-9e13-0d9509292166 · outbound

This paper cites Model Building with F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Model Building with F-Theory

Reference 79

Resolution
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no resolver link, observed 2026-08-14T12:51:46.370586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.370586Z digest=sha256:943d124e50f68f0006d4922228ca504ceac2b7e00692c7b34240d92f364f320d

Observation 7a638eda-fcc8-4137-842e-dd0c6af31a6f · outbound

This paper cites GUTs and Exceptional Branes in F-theory - I.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups GUTs and Exceptional Branes in F-theory - I

Reference 80

Resolution
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no resolver link, observed 2026-08-14T12:51:46.374741Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.374741Z digest=sha256:d6c497ca72390b909039c2d1f5de81999cac5c2f16e5f78df6a80f7ce3d50f36

Observation 78a29481-9de8-473a-baf7-66d2ec6b3c34 · outbound

This paper cites GUTs and Exceptional Branes in F-theory - II: Experimental Predictions.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups GUTs and Exceptional Branes in F-theory - II: Experimental Predictions

Reference 81

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no resolver link, observed 2026-08-14T12:51:46.378713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.378713Z digest=sha256:84c63e5854fe4241abeef7b6685d251188af0095af5ff6094a864b1c46fb3855

Observation 750e625e-aa93-4945-9c9c-5ae8e4231c08 · outbound

This paper cites Breaking GUT Groups in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Breaking GUT Groups in F-Theory

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.383139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.383139Z digest=sha256:f066ced6036abd7c4fcf63633e1703448878ad87143b60e60c4a80fa7e86cca0

Observation 3603f307-0885-4403-b9f8-9cab254e1389 · outbound

This paper cites M-Theory on Eight-Manifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups M-Theory on Eight-Manifolds

Reference 83

Resolution
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no resolver link, observed 2026-08-14T12:51:46.387396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.387396Z digest=sha256:773612709e4f2abe6231cfdd71a20a307ae0d79059878de4ddd951e125db89ba

Observation 0fe553d9-28d5-4aad-8674-00d0cb84754d · outbound

This paper cites Constraints on Low-Dimensional String Compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Constraints on Low-Dimensional String Compactifications

Reference 84

Resolution
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no resolver link, observed 2026-08-14T12:51:46.391528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.391528Z digest=sha256:e79c590bec8a4a887b4c80a35c77f988478952b8db0075465249d5349c9627bc

Observation c3d6e05f-a7b4-4f92-be78-aad88e1a2a60 · outbound

This paper cites On Flux Quantization In M-Theory And The Effective Action.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Flux Quantization In M-Theory And The Effective Action

Reference 85

Resolution
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no resolver link, observed 2026-08-14T12:51:46.395472Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.395472Z digest=sha256:a4568204222e4a32f483947e17aa95e178cf4fb272dab698091116622eae60e8

Observation a3c76779-2421-415e-92ef-48f1a117b89c · outbound

This paper cites CFT's From Calabi-Yau Four-folds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups CFT's From Calabi-Yau Four-folds

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.399886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.399886Z digest=sha256:e5cccb8a65efa324e6def79926ee5ed4e7efb44f0a43b7f9815a8ac4a0d0d92e

Observation 3e008d2b-8e63-4539-abd2-b8574c5ab499 · outbound

This paper cites M Theory, Orientifolds and G-Flux.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups M Theory, Orientifolds and G-Flux

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.404164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.404164Z digest=sha256:16437df2289f83b7f7a06a15759ce8abfb03d1b5fccfe936f03b3be08b0ede11

Observation fa41a0d8-c911-46e7-b266-c4b9c957beee · outbound

This paper cites A Note on G-Fluxes for F-theory Model Building.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups A Note on G-Fluxes for F-theory Model Building

Reference 88

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.837813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.408360Z digest=sha256:af6a41deee9c12f2e7821cb6ec1357181cee83b22924d0ec747de5ef125e62fe

Observation d3541e88-f9f2-4ce9-b271-2c59b564fcd2 · outbound

This paper cites On Flux Quantization in F-Theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On Flux Quantization in F-Theory

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.412356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.412356Z digest=sha256:dd0913be912e1d4487a3a682b30880355ce14a95ce4732e3cd1b350682399176

Observation 3f73dd28-824e-4256-b078-19bba95c9898 · outbound

This paper cites On G-flux, M5 instantons, and U(1)s in F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups On G-flux, M5 instantons, and U(1)s in F-theory

Reference 90

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.808565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.417299Z digest=sha256:7e61c9ce97558a230c67c19aedf587cace8214d749f9d6305f692d9a2cc80564

Observation 8523d4be-6c50-4391-b666-f28d7f40b7c8 · outbound

This paper cites G-flux in F-theory and algebraic cycles.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G-flux in F-theory and algebraic cycles

Reference 91

Resolution
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no resolver link, observed 2026-08-14T12:51:46.421028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.421028Z digest=sha256:e8b1ff7516d517911ed895c487087fd8b17a845a5648ff517caa1d94d920810a

Observation 51e9759a-e332-43d8-b1e5-e6a5c79ee579 · outbound

This paper cites Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Yukawas, G-flux, and Spectral Covers from Resolved Calabi-Yau's

Reference 92

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.780857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.425111Z digest=sha256:8d804fbb773dd48b2a1bf44cef0d9649ce43ad86b5e95b1b4e0efcec612cf1e7

Observation 01da7649-6e52-4862-aac3-d0bed13bfd9d · outbound

This paper cites G_4 flux, chiral matter and singularity resolution in F-theory compactifications.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G_4 flux, chiral matter and singularity resolution in F-theory compactifications

Reference 93

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.763766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.428998Z digest=sha256:052df482c80a176f2824aba9e3defd22781b98d0b99fc96a8ea764b2eed949f2

Observation f83e4ad3-64d6-42a1-b744-f060abf23bac · outbound

This paper cites F-theory fluxes, Chirality and Chern-Simons theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory fluxes, Chirality and Chern-Simons theories

Reference 94

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.745242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.433412Z digest=sha256:e52d6a0e5082b9a99276632207b636224d31c390062f89841b5977d0548421ba

Observation 856da6f8-5afb-4d7d-81d9-1b1d409f4590 · outbound

This paper cites Gauge Fluxes in F-theory and Type IIB Orientifolds.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Gauge Fluxes in F-theory and Type IIB Orientifolds

Reference 95

Resolution
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no resolver link, observed 2026-08-14T12:51:46.437632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.437632Z digest=sha256:474ff39e7f04550433ec04eb3b6d20bc0dd33854dc41611dec2c6f509d05a009

Observation cb1e245d-e58c-4a7c-b847-372afabf6968 · outbound

This paper cites Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Conifold Transitions in M-theory on Calabi-Yau Fourfolds with Background Fluxes

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-14T12:51:46.441776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.441776Z digest=sha256:bb4aa2a6d22236402c76323aab990f49c382f3d37b612755ed1131427dcc11ed

Observation 93686c2b-1be5-4fda-916b-3cc049461c3f · outbound

This paper cites G-flux and Spectral Divisors.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups G-flux and Spectral Divisors

Reference 97

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.699365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.445549Z digest=sha256:a76bf9d316ba87d5e8605e410a4c688f65db5b6d6d93af4574647fc345c5ab7a

Observation dac07767-e985-4136-8fd3-7d7e37d97c9c · outbound

This paper cites Anomaly Cancellation And Abelian Gauge Symmetries In F-theory.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Anomaly Cancellation And Abelian Gauge Symmetries In F-theory

Reference 98

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:51:46.680127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:51:46.449623Z digest=sha256:76d437106e00df605cb211c5a1cb0cb366e01274f351f34a9fdca05af74b93eb

Observation 0f479236-dbac-4d26-bdd5-7ffad732a9af · outbound

This paper cites Hypercharge flux in F-theory and the stable Sen limit.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups Hypercharge flux in F-theory and the stable Sen limit

Reference 99

Resolution
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no resolver link, observed 2026-08-14T12:51:46.453582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.453582Z digest=sha256:8018df710f80450d3bc22c3cb79bcef9ddc10c8a374ad97a96497ebafbcfc386

Observation 789cb59d-035d-4544-83ac-7ab30d90fa53 · outbound

This paper cites F-theory and 2d (0,2) Theories.

F-theory models with $U(1)\times \mathbb{Z}_2,\, \mathbb{Z}_4$ and transitions in discrete gauge groups F-theory and 2d (0,2) Theories

Reference 100

Resolution
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no resolver link, observed 2026-08-14T12:51:46.457840Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:51:46.457840Z digest=sha256:1530dd3fb2497fb973872dcf9668656a169032dd39122e376e1b578ad433891c

Pith citing papers

No inbound Pith citation observations are available.