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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 15 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 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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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:b6e9959673353eea25889ce4461061f93cf1238abde04e0619ec89f7ed051311

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=sha256:32c303c460d25067a01aa2a527d9bbcc92d059ae1939f8dd40cdebe07d2c2dda

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:fd27b06bb67e96f303053f3cdaf33f4158d968d905d1b6a014fdf6837178a58f

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=sha256:82585109a5acaa7f1b04a04b8b19adfc4a66cfd871932d3fc7597a9afc3d8ddc

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:b56ce6dadaddd4fe47fe6197ff7f5adc7fac34cb469f920bc4b362827c86a299

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=sha256:27597c99e7684c9e7308d9a46963b846bbe7ea10ab3db9f5506b20adc1445813

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:e06df25c3c462aec85f9e5e373e1fdfe8f8daf354a2d77623e67255bfd0a5eaf

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=sha256:72ca22fb2bbdb9dafe93c39cd48dfec9f14627f179bc7bf396d98736802f8b70

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:eafcba97d90af0a8e89b0996a58ad0ea189134e9f97c5e02b8cb91e1b1e8fc7a

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=sha256:576cd965a1e64dcb60eb54a66f85726ad1e71869141e6f48de967dd6625bd0ea

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:b057801598dc8f5346d8872b8368034fd5e7da34964129f6b40d67069b815e7c

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:b597674a0d6b5bbc2bbb087c76451f7370eb2d8c1c639840b1d1259e92bc8523

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:a81e7e642531cc74220078d132edb0184c0ad4bba5d8dac151db1ca06f46f8af

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=sha256:4c301dc0aca6f5d5e3bb4fa4a30311748707a3038079c0f6dbe1ef1aed18f182

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=sha256:388913959fa3dcfabfe0ed7fd368c65ae32eba7f23217e473c5e5aead4f1a026

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:afd01779b09ffa2164c492673992796a58961489d365b40b49b799770e34894d

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:d671e1b1a30b6e09e3005a282562fdd21dd8252bbb0e24fbcb4278e64c4f7b5d

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:ee534f540b6edc908e82dfb46972591739691b695c23041bf4382fcd6e215b75

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:c9307f055d8a826c13a824045e77400a55e14633c4d56d3b20a05ade1acf5a81

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=sha256:0e3e6097cd5f7b3ea446f70a3f7a38b86ed64f1eb97dc2f0085217149c4c689c

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=sha256:106685a21fd51dcc86e6f6191a18ecfb8cd2536a7a137cd0f17f704089c9d595

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:ab4be5c718c4adcd139cc3cbc8b7e792f49917ad4c8362354b7f048ff4c57264

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:cab7b340af41923538e0f48b5f57b2a2706b492cc358b2c5db7c054bd783f28d

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=sha256:699fed2577a11235349e7aac78319767a28072ed5d5a3ff2e25847fc1a7082cd

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=sha256:850f0bd1d6e1523eebd9b2868e651ea574b87100c80d7a6e9038a6df2c7c60b2

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:aa7b2b33b1fc8b16e3bd6d7e8a7f7d1c5b0c457760fb46f26a9f41044b83024e

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=sha256:915aa2f81ba56e6be74b24c91940f77c79cef587affbbd02628ceb324399ec93

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:fea3a428bef17b8adf861abd33823495ee3141b71553d42aa7833b27dce12bf8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.154732Z digest=sha256:9c5e97f7c41cc1655304ebaf693ff0b8abe5db024dd09e8531b1e57cd90fb45a

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:f7b1779c270dac28c1fe6adaf99fd554d2fb3504826355394eb94350e1a23712

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.162862Z digest=sha256:7be07ae46e96cb1e4bc4b1f393c39c6553fc4c104a4be6cb9c9dfa84a623fc15

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

source=pdf_text observed=2026-08-14T12:51:46.168133Z digest=sha256:8641e9336a332f05cdd5335487d2dd757ae1d4eacb94b0baf2a44ddfdae908b6

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.172332Z digest=sha256:e4ca5ec87dd53f8da912661511c76d105810d40bc66acbc652c2586317e6cda8

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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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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.176435Z digest=sha256:5b649188a3b75cb24cb32ac8ff374b42bc500d06804b65035895488a89b1e45d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.180510Z digest=sha256:0607a909d119ba1c34776ddd70e5a3fc37e023565fb69d113213b00695403bdb

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:a133c682e09b929da0b0af56b2dc345e21d1a529e6ea398d86e60e611bc7b8ae

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.188569Z digest=sha256:821716b56514014cfe3ff62146cc423ea3f2dd3495118b76eaa260f6a22cd486

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=sha256:77dae234ac0afe266ac0688abc2e415bd80686243392ae9fbd7d49afc5c97e0b

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.199705Z digest=sha256:76e3b2afdd3e9bdc30436217963948e41a293f99397a3b1013393703c2980613

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:d4159af39cd5f6a21f5bb14d10d57bfc4886fcbb8df3671cfb4d2686641d99e5

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=sha256:72be63e7abc75857cc0b42a3530a1710412c015b50b8f034200d387696c87d1a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.213520Z digest=sha256:dcaa0b67ce2bb8a8dde343b7a51c6fd216dbdf99c1cd4ed93e77a70fe6de83c2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.217281Z digest=sha256:418ad03865486bdcb520868dc617db8f5ef336edbb3df0920e947483976f1304

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.222180Z digest=sha256:67ead00b805475dcf715a715a04c89064aa578d8167fa30d87a783525ba188bc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.227560Z digest=sha256:22aba256cbe9ab9efbcee481e205dcbb737cf8c7a86850772ca0b81a412e7e78

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.232573Z digest=sha256:4d8b067d787d28a99db3e1b9a2b8099d27245344be632604668af1d87f7eb42a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.237921Z digest=sha256:85f0cd4b5b652d585b348b2b700c3d2330128b298e486176cc4716ce650460a8

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:cb622e139da093b02180a07add626baafc47d44cc3caa93beb5c9b268d0fed11

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.245730Z digest=sha256:208f13a68fed4525d31e286de83059b12e161c6fd32fde46f47e7261cfceb54e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.250368Z digest=sha256:e202ef6c8b4e11eae407fa7e2a8144302daad784e3410a24a7e843e90be5bd4d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.254733Z digest=sha256:b591cf3f68cc4fa4201bbc31300232ef95df6ea22e6941683124f3804e71b488

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.258776Z digest=sha256:bf1a5ec2e54564000b6766428c9ddf0bc055fd4c117a585a368c685392a2df14

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:cd2a1606648c6cc836b6f1cf83246dab941c39306a6623d2c74eaab737db1acc

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.266974Z digest=sha256:294ff4f17b67b3b03f676132d9010106e55d14563687b19bfcd06198532a2b63

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.271194Z digest=sha256:de3177da40c4aaddbd7e3ca49c00cb002eb4c3765a6719d94a37503c3ff6df72

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.275484Z digest=sha256:3f53f0df14ebe3f3c0fc9b456bb51efe1e43edebdd480363761ab1fa7142394c

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=sha256:976ccecce4dc38664a121d0b8a6c083739b22be093d0e754ce4827385182d92d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.284075Z digest=sha256:585fd0a38d3be3579180ac4fe5085a41e505e73283a6d1a54b77fb72339b600c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.288240Z digest=sha256:a6a217ae8b06419f4e5b3fb5cf171c9a7b291d52d50079620b4d14ec2ddaf851

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.292437Z digest=sha256:b9d3522000b53c06fa5cc8eafcb4e21c3fb6e779549b65eaf8bee4f8d6559a2e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.296662Z digest=sha256:dd4f984f390a3a97824b4b347992fd0ef9fc9bf2aa68a1809c970fa157c7030c

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:aee2eabdae1e918ac58e9e392726dc37a27cd478e620336be38ca6cbbd090fc4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.305022Z digest=sha256:debf1428a3da4f6c44341da1453b08fb306edd1048401cc6e36eb5525906c395

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.309156Z digest=sha256:32b4fdcd3c67a5050ef33dbadf1c92a59d13552cb3a814e361426d5c715056f0

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=sha256:2832aac5f751ee3bd93ce29c0368457d14e273476fa66a66b8f3549fc7da0ffa

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=sha256:46a9a303a0be6b330e88b6c6632aacdb3385d03cc211a43e0d09f06eb3b412c2

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.321601Z digest=sha256:edb5c14d4be96650cf5bb8e1e3aa9447062e469e1f356897f892e604561e67a3

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

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

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

source=pdf_text observed=2026-08-14T12:51:46.325770Z digest=sha256:7ace6ac197bdb189315835fafc4e43d0385d73bfa94e3bce506704e871026fa0

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
verified exact
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.329762Z digest=sha256:4afe37d747087000bbd9c1d84a87566402886babfb7b0bd7a02cb533673986f4

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:fe192ae429ae882abfb8d677fae4ac21bd18916bd4345403c0806e2788a53596

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.338253Z digest=sha256:1b329441c817d993eec169754d36c138a6d9c6da72f6e205d5936af12168b63e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.342544Z digest=sha256:21384d3fc76b3e6b3f6bc5c4e0a4acd65b0ad9d455ea2c55474bd24fae7d4e24

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:bca7df1fd08fc0d5eecfdd387144e0a25d9b04e55e2962af9cd8442f63d67a64

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.350970Z digest=sha256:b3f811adf58d6033712eb56b2c036bdfd9673081041bbe1836ccf2498d6f8af7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.355065Z digest=sha256:9883b1b852d8c00282e251444bc37d5e15451349c6987226f463a0b91e055556

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:b57f1de37db756ca13788cbe1becd557bdc607896af985aaaf67a06a90b5c13e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.362682Z digest=sha256:578dcf5b870b981727636867381fb342deec0862e746a9711eb9cf490eb98524

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

Resolution
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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:ded9d584189196b73bd99442f304e8051cc347abefba3bd257ee985291dbc4f4

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:e5ecc3b923a7961c3fa6e6d1e8988eb1f2110981b7b8fff3665771df405ac4e8

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=sha256:0333a6dd14fd8100c7bc9df5cd85c92e8a35d4823569f3b0dfc1679a8925ee6a

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

Resolution
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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=sha256:691b35c62ef3fd1d1fa875b87c186184b78cbf554b42d98f71aa10239450e1fd

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=sha256:39884980f3b19282ff1d2aaa173663c8ec8c647ddcb2a7a7e425d6dea2495201

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
unresolved
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=sha256:6c5ce1c202c87280bdfa0718960e905cb2659572989acd641293aacea25dc65a

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=sha256:7d9d03c2a58a3ddf1269888b136910baeb55ebf60ce764114ffbe69bc8335b13

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=sha256:0499514e9791f2f860e6d8b28d7c00ad0a13771d81405995c842d252da5e60d2

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
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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=sha256:0c52d072f48bc37aee4d438c1be652f140b99c22d6976873dcdd42ccd00aa129

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=sha256:23569342badc6407f69f5312a1d45d0e1b2964b5caf83006d0fb6be204854100

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.408360Z digest=sha256:9efdbfdc8f76fb4a004978323e77dafb2bc7d866a262c18b0f83ce4640a5b926

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=sha256:540d7867232779dcb375b415273fa59a330418d0b628f17b0477ea4cabc007e4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.417299Z digest=sha256:9162f29c739bb33a7766f18f645b92ef2665eec727fef533865bbd945be6e715

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
unresolved
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=sha256:4d356ac5fbfe9e0b8e77e7f42d4bc446750b8092c7a76afd640a4cc9aa7a8bc8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.425111Z digest=sha256:cefca9e19bf0759140f842d283d69e48898768c47be4f8510cd6bb7f22971b6a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.428998Z digest=sha256:5e48aa509fc69579f2e6c79c5418072458b421f8b8f4d05b317335d5d43ea918

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.433412Z digest=sha256:59811ef6d0515326c87e2564372e4410033c0ec5694178cf1d59e3e666741f5f

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=sha256:31afebdcbae921fceb463d709563df4e904b408eaa413c7134d517cf706c228f

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=sha256:2f53ca5ee46754762f59fd9f39a40a80182a9e7e4fabedf2c24aae97fbeb2326

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.445549Z digest=sha256:974230665fa397eb75e73de312ea562347eab678a998093d928b94a48847bd21

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:51:46.449623Z digest=sha256:22736e584c1fdd8ea0348f771f9b971879276eb06360119f8bb040ec7d635e4d

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
unresolved
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=sha256:8e404fe55e97ba4488e4193976472596ba54d9b6652946f22c1c6755258b74b3

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=sha256:93492877102551bda5a215a7b83bd082d1e9a5e4b1413c59e2f581715eab010c

Pith citing papers

No inbound Pith citation observations are available.