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Paper Citation Record · LEDGER

Three-loop induced neutrino mass model in a non-invertible symmetry

As of 18 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 11 inbound Pith citation observations for arXiv:2507.16198.

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

pith.paper-citation-record.v1
2507.16198 v1

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measured 45 of 45 reference resolution

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measured 11 of 11 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T17:27:52.808358Z

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Source: arxiv_reference, observed 2026-06-29T12:53:27.410431Z

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Outbound references

Observation 6115e697-e6d7-4e27-8451-004ce3f3b943 · outbound

This paper cites Non-invertible Global Symmetries in the Standard Model.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-invertible Global Symmetries in the Standard Model

Reference 1

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Observation b7442c54-19d6-45f4-a7a9-2578f9574390 · outbound

This paper cites Neutrino Masses from Generalized Symmetry Breaking.

Three-loop induced neutrino mass model in a non-invertible symmetry Neutrino Masses from Generalized Symmetry Breaking

Reference 2

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Observation adba2ec5-4eab-49ae-bd52-d695dd0b20b9 · outbound

This paper cites semi-annihilation.

Three-loop induced neutrino mass model in a non-invertible symmetry semi-annihilation

Reference 3

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Observation 6e22db45-6360-4c28-9436-32c45870bc9b · outbound

This paper cites Non-Invertible Chiral Symmetry and Exponential Hierarchies.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-Invertible Chiral Symmetry and Exponential Hierarchies

Reference 4

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Observation b2ad27fe-ed86-4dcf-8567-01fafeb055d9 · outbound

This paper cites Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-Invertible Peccei-Quinn Symmetry and the Massless Quark Solution to the Strong CP Problem

Reference 5

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Observation c5f80662-3139-414c-ad0c-8ab9fdaaf000 · outbound

This paper cites Yukawa textures from non-invertible symmetries.

Three-loop induced neutrino mass model in a non-invertible symmetry Yukawa textures from non-invertible symmetries

Reference 6

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Observation f13b32d9-6a9f-41fa-b923-045f75a76d28 · outbound

This paper cites Non-invertible flavor symmetries in magnetized extra dimensions.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-invertible flavor symmetries in magnetized extra dimensions

Reference 7

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Observation 43f5471d-a38d-428c-99a4-626fe69153f0 · outbound

This paper cites More about quark Yukawa textures from selection rules without group actions.

Three-loop induced neutrino mass model in a non-invertible symmetry More about quark Yukawa textures from selection rules without group actions

Reference 8

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Observation fdb6e7d0-bf72-43f9-b03b-419c827ff1ed · outbound

This paper cites Suzuki and L.-X.

Three-loop induced neutrino mass model in a non-invertible symmetry Suzuki and L.-X

Reference 9

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Observation 7aa955c5-c22b-4439-9c69-9ea87c88e32f · outbound

This paper cites Non-invertible symmetry as an axion-less solution to the strong CP problem.

Three-loop induced neutrino mass model in a non-invertible symmetry Non-invertible symmetry as an axion-less solution to the strong CP problem

Reference 10

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Observation 6fd73117-d27b-4b89-bf3d-a5f9b5ac16c0 · outbound

This paper cites Lepton mass textures from non-invertible multiplication rules.

Three-loop induced neutrino mass model in a non-invertible symmetry Lepton mass textures from non-invertible multiplication rules

Reference 11

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Observation 7aba305f-a3c7-4b8c-b806-31a0405b6430 · outbound

This paper cites Matter symmetries in supersymmetric standard models from non-invertible selection rules.

Three-loop induced neutrino mass model in a non-invertible symmetry Matter symmetries in supersymmetric standard models from non-invertible selection rules

Reference 12

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Observation 6152bb36-9a62-41da-ac13-1d455f1ff676 · outbound

This paper cites Kobayashi, H.

Three-loop induced neutrino mass model in a non-invertible symmetry Kobayashi, H

Reference 13

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Observation 40612553-ae66-41b2-8830-75d1d634d2d4 · outbound

This paper cites Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry.

Three-loop induced neutrino mass model in a non-invertible symmetry Radiative lepton seesaw model in a non-invertible fusion rule and gauged $B-L$ symmetry

Reference 14

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Observation e3acbff9-d5e3-4285-ad97-e40ca1c76c3c · outbound

This paper cites On discrete gauging and non-invertible selection rules.

Three-loop induced neutrino mass model in a non-invertible symmetry On discrete gauging and non-invertible selection rules

Reference 15

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Observation 6262b676-3405-41ab-a855-740b820610a3 · outbound

This paper cites No-group Scotogenic Model.

Three-loop induced neutrino mass model in a non-invertible symmetry No-group Scotogenic Model

Reference 16

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Observation 816f3102-41d8-40fd-9911-5feeaf0ca073 · outbound

This paper cites A radiative lepton model in a non-invertible fusion rule.

Three-loop induced neutrino mass model in a non-invertible symmetry A radiative lepton model in a non-invertible fusion rule

Reference 17

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Observation 644f3d27-7129-4190-9d9b-90cdec906362 · outbound

This paper cites On finite symmetries and their gauging in two dimensions.

Three-loop induced neutrino mass model in a non-invertible symmetry On finite symmetries and their gauging in two dimensions

Reference 18

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Observation 57b50b8e-f856-4a37-add0-099aaa85fd9f · outbound

This paper cites Dijkgraaf, E.

Three-loop induced neutrino mass model in a non-invertible symmetry Dijkgraaf, E

Reference 19

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Observation 440e7a27-aa1f-4f00-9943-787a24f84d1b · outbound

This paper cites Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold.

Three-loop induced neutrino mass model in a non-invertible symmetry Searching for realistic 4d string models with a Pati-Salam symmetry -- Orbifold grand unified theories from heterotic string compactification on a Z6 orbifold

Reference 20

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Observation bd9af0ce-344e-4a06-8614-0abfbae38be3 · outbound

This paper cites Kobayashi, H.

Three-loop induced neutrino mass model in a non-invertible symmetry Kobayashi, H

Reference 21

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Observation fa5c7d03-bdf6-4349-b5b7-702452c22098 · outbound

This paper cites Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds.

Three-loop induced neutrino mass model in a non-invertible symmetry Gauge Origin of Discrete Flavor Symmetries in Heterotic Orbifolds

Reference 22

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Observation 3e31a02b-04e8-4d3b-833b-bf91752613e5 · outbound

This paper cites Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond.

Three-loop induced neutrino mass model in a non-invertible symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond

Reference 23

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Observation 5004c904-651c-48c8-ac2a-c603ba8a78e2 · outbound

This paper cites On the Fate of Stringy Non-Invertible Symmetries.

Three-loop induced neutrino mass model in a non-invertible symmetry On the Fate of Stringy Non-Invertible Symmetries

Reference 24

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Observation 8360e427-c2f1-42b5-a34e-74353d3734a6 · outbound

This paper cites On a class of selection rules without group actions in field theory and string theory.

Three-loop induced neutrino mass model in a non-invertible symmetry On a class of selection rules without group actions in field theory and string theory

Reference 25

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Observation 150af6bb-d6ad-4f02-9cf4-083223ba9b50 · outbound

This paper cites Coupling Selection Rules in Heterotic Calabi-Yau Compactifications.

Three-loop induced neutrino mass model in a non-invertible symmetry Coupling Selection Rules in Heterotic Calabi-Yau Compactifications

Reference 26

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Observation 8a8a3456-86ec-43a1-b089-e8c8d6a1a34d · outbound

This paper cites Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models.

Three-loop induced neutrino mass model in a non-invertible symmetry Quantum aspects of non-invertible flavor symmetries in intersecting/magnetized D-brane models

Reference 27

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Observation 40e88b79-617e-4b68-9d5a-3621f8027e1c · outbound

This paper cites Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter.

Three-loop induced neutrino mass model in a non-invertible symmetry Verifiable Radiative Seesaw Mechanism of Neutrino Mass and Dark Matter

Reference 28

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Three-loop induced neutrino mass model in a non-invertible symmetry Oscillating neutrinos and mu --> e, gamma

Reference 29

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Observation c3b8d9eb-81ed-4782-9c42-3b7449b8d4fe · outbound

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

Three-loop induced neutrino mass model in a non-invertible symmetry Planck 2018 results. VI. Cosmological parameters

Reference 30

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Three-loop induced neutrino mass model in a non-invertible symmetry Abe et al

Reference 31

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This paper cites Aker et al.

Three-loop induced neutrino mass model in a non-invertible symmetry Aker et al

Reference 32

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Three-loop induced neutrino mass model in a non-invertible symmetry Unresolved cited work

Reference 33

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This paper cites The anomalous magnetic moment of the muon in the Standard Model: an update.

Three-loop induced neutrino mass model in a non-invertible symmetry The anomalous magnetic moment of the muon in the Standard Model: an update

Reference 34

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This paper cites Cold Dark Matter, Radiative Neutrino Mass, mu to e gamma, and Neutrinoless Double Beta Decay.

Three-loop induced neutrino mass model in a non-invertible symmetry Cold Dark Matter, Radiative Neutrino Mass, mu to e gamma, and Neutrinoless Double Beta Decay

Reference 35

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This paper cites Planck 2015 results. XIII. Cosmological parameters.

Three-loop induced neutrino mass model in a non-invertible symmetry Planck 2015 results. XIII. Cosmological parameters

Reference 36

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Three-loop induced neutrino mass model in a non-invertible symmetry Scalar Multiplet Dark Matter

Reference 37

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Observation dfc627dd-3071-454f-b1e4-d290a1a320d7 · outbound

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

Three-loop induced neutrino mass model in a non-invertible symmetry NuFit-6.0: Updated global analysis of three-flavor neutrino oscillations

Reference 38

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no resolver link, observed 2026-08-06T15:27:52.625003Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation d669c65e-620d-4adc-94d9-3ad20063efd9 · outbound

This paper cites an unresolved cited work.

Three-loop induced neutrino mass model in a non-invertible symmetry Unresolved cited work

Reference 39

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unresolved
no resolver link, observed 2026-08-06T15:27:52.629132Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:52.629132Z digest=sha256:6cd81b8179a8704883175740f442c578975a0a15be7e9b0fb95bed8866099153

Observation aebddf5f-8e2f-45bc-8b41-2fb3f033c9ed · outbound

This paper cites micrOMEGAs5.0 : freeze-in.

Three-loop induced neutrino mass model in a non-invertible symmetry micrOMEGAs5.0 : freeze-in

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:52.633087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:52.633087Z digest=sha256:975d8a6bf70a454d6e6b8adf600d92e3c70143b6f1376f27027dc10328837656

Observation b1505156-c3e4-4e22-a1bc-37d2cc637f50 · outbound

This paper cites Recasting direct detection limits within micrOMEGAs and implication for non-standard Dark Matter scenarios.

Three-loop induced neutrino mass model in a non-invertible symmetry Recasting direct detection limits within micrOMEGAs and implication for non-standard Dark Matter scenarios

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:52.637744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:52.637744Z digest=sha256:caba11c0f9848a7844b48a5aa7a9e41750c084d04fb52cf9f55a5ba090ce091a

Observation d96834f8-9fde-435d-9540-f35dabef7c47 · outbound

This paper cites Leptoquark manoeuvres in the dark: a simultaneous solution of the dark matter problem and the $R_{D^{(*)}}$ anomalies.

Three-loop induced neutrino mass model in a non-invertible symmetry Leptoquark manoeuvres in the dark: a simultaneous solution of the dark matter problem and the $R_{D^{(*)}}$ anomalies

Reference 42

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T15:27:52.748195Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-08-06T15:27:52.642423Z digest=sha256:12126564e95609f14627f113b0cbba3717110cd13481ed9a09f2e499218eae7d

Observation a78f3946-1d79-4e97-aaad-9abbe4c5865f · outbound

This paper cites Co-scattering in micrOMEGAs: a case study for the singlet-triplet dark matter model.

Three-loop induced neutrino mass model in a non-invertible symmetry Co-scattering in micrOMEGAs: a case study for the singlet-triplet dark matter model

Reference 43

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unresolved
no resolver link, observed 2026-08-06T15:27:52.647783Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:52.647783Z digest=sha256:953aa9d58b79603009116e45860438d43e2003659c3d7ffe84830c41f72d4e45

Observation 38495c3b-57b3-439c-9963-58612758f1d1 · outbound

This paper cites micrOMEGAs 6.0: N-component dark matter.

Three-loop induced neutrino mass model in a non-invertible symmetry micrOMEGAs 6.0: N-component dark matter

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:52.651942Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-06T15:27:52.651942Z digest=sha256:db6b44d27e9fa344bb63982cf78ec0d68c2df31e9320d0be3f4bd79d071498d4

Observation 42a74ada-609f-437e-96a0-91c5da9f1597 · outbound

This paper cites Semi-annihilation of Dark Matter.

Three-loop induced neutrino mass model in a non-invertible symmetry Semi-annihilation of Dark Matter

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T15:27:52.655969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:27:52.655969Z digest=sha256:2870749328a572ea64a68c481ced700d0203ede0b63ee0daa3e014c1b8d1dffb

Pith citing papers

Observation 0eda15dc-68a3-46d5-8720-40098fb5adc1 · inbound

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model cites this paper.

Non-invertible Symmetry as a Solution to the Strong CP Problem in a GUT-inspired Standard Model Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T17:27:52.808358Z

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Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T17:27:52.808358Z digest=sha256:16f3f6f1fd1fa89179a492d02cba5fed7be6764d2508c722285728c76c32ad8b

Observation 58600e82-d37e-41d7-9bb8-dc4d5908567c · inbound

Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions cites this paper.

Spurion Analysis for Non-Invertible Selection Rules from Near-Group Fusions Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 38

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T22:11:53.215365Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-18T22:06:51.905581Z digest=sha256:965b122bb9d80262a35706ef2fa0f7a24ba265ddd84b7cd5041d4fc50e7f858a

Observation e13ceaea-0655-44d7-99df-6b12e80a28c2 · inbound

A natural realization of inverse seesaw model in a non-invertible selection rule cites this paper.

A natural realization of inverse seesaw model in a non-invertible selection rule Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-05T17:29:36.708585Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T17:29:36.708585Z digest=sha256:7cbb7b1f05d7802df56eac55fb11c8d59d450589631f94e6c7c04f6164499175

Observation 2d5b0908-9be6-4129-a0e8-1301b8bc5bd9 · inbound

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds cites this paper.

Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T18:31:49.989937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T18:31:49.989937Z digest=sha256:2c67e24a696a8c57e342df3a65a2ad7a20404e9fff1b3486e0903b90a108990e

Observation 8910b1c8-6af4-46f2-a391-5caf73f42ed8 · inbound

Radiative lepton model in a non-invertible fusion rule cites this paper.

Radiative lepton model in a non-invertible fusion rule Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T09:11:27.294420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:11:27.294420Z digest=sha256:b85efed634fb0dbef5228948ae1bfeb7eafcc5d372d622d31e5dbfb77667c9a7

Observation 04fd257f-6336-4411-84c5-b3a1de7d9fc0 · inbound

Dynamical CP Violation from Non-Invertible Selection Rules cites this paper.

Dynamical CP Violation from Non-Invertible Selection Rules Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-10T22:25:50.494971Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-10T19:53:38.648044Z digest=sha256:240cb3987a94bd2ebc116b860974db61c4be7e4627939432d266fa77837b66d4

Observation d42b91f2-38bf-471e-861e-0f8b4d339660 · inbound

A General Prescription for Spurion Analysis of Non-Invertible Selection Rules cites this paper.

A General Prescription for Spurion Analysis of Non-Invertible Selection Rules Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 40

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T06:51:53.411058Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-10T17:24:03.346127Z digest=sha256:26a19698a20586b46e0a6537de04a39c54cbdadbc96a679af75445604adbf0bc

Observation 67f15dc6-7706-4974-a07f-4a1ef2f0d5f0 · inbound

Dirac one-loop seesaw in a non-invertible fusion rule cites this paper.

Dirac one-loop seesaw in a non-invertible fusion rule Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 67

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:41:00.909008Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-10T16:32:37.745450Z digest=sha256:09b2977a4f77b63d07b2c7a95dba2d6b496647660d72f808d42c57cb2104bc39

Observation 6489f851-945b-4f68-bd34-78de62f45101 · inbound

A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry cites this paper.

A theoretical account of tiny multi-Higgs vacuum expectation values from non-invertible symmetry Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-12T10:31:28.725030Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-07T05:55:49.767820Z digest=sha256:b91611242698d0031adcbbd0201d005bb88fb4a7f8ed28ee4c758221433cf8c7

Observation 06f2083a-1757-4c73-ae17-c1445f5be09d · inbound

Zee models with a non-invertible $Z_M$ symmetry cites this paper.

Zee models with a non-invertible $Z_M$ symmetry Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 39

Resolution
verified exact
arxiv_id, observed 2026-05-25T04:35:21.470779Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-05-25T04:32:47.321869Z digest=sha256:e7e79d8aef5ac45459093ca1993b96d8660b84df13843bc46e69cfe23773a6f7

Observation c96831c2-1ed7-477a-9c76-b972993d789b · inbound

More about modular symmetries and non-invertible properties in magnetized compactifications cites this paper.

More about modular symmetries and non-invertible properties in magnetized compactifications Three-loop induced neutrino mass model in a non-invertible symmetry

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-06-29T12:53:27.411710Z

Source-reported events for the cited work

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

source=pdf_text observed=2026-06-29T11:26:34.913484Z digest=sha256:5121330e03ed373a6914efb47805fb63168bd26a493b943f4f96656152ae3656