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Paper Citation Record · LEDGER

Large and small hierarchies from finite modular symmetries

As of 17 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 2 inbound Pith citation observations for arXiv:2412.18435.

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

pith.paper-citation-record.v1
2412.18435 v1

Coverage vector

measured 66 of 66 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:52:20.569351Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:45:52.684568Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T10:56:52.116242Z

Reference resolution

66 of 66 outbound references displayed

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External citation measurements

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Outbound references

Observation ce764fee-aeaf-4b50-ae50-d204fcb0cf3e · outbound

This paper cites Are neutrino masses modular forms?.

Large and small hierarchies from finite modular symmetries Are neutrino masses modular forms?

Reference 1

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Observation e30a181d-0933-4319-af65-54bdcfbf37f5 · outbound

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

Large and small hierarchies from finite modular symmetries Discrete Flavor Symmetries and Models of Neutrino Mixing

Reference 2

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source=pdf_text observed=2026-08-11T04:52:20.329398Z digest=sha256:80d70ba4269a7336c6122ad27db193aa9866958878b70b15b3c9de68f8335af3

Observation acbb99c1-0650-4ad7-b279-13e03caffed2 · outbound

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

Large and small hierarchies from finite modular symmetries Non-Abelian Discrete Symmetries in Particle Physics

Reference 3

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source=pdf_text observed=2026-08-11T04:52:20.333637Z digest=sha256:2e7c1c8b68887e7c63e647262f48d840c3727ff6b072dc0c0f52e4c4368b42c7

Observation 3dcdd5e7-c0ca-4e9c-bd23-f7200f72efba · outbound

This paper cites Lepton mixing and discrete symmetries.

Large and small hierarchies from finite modular symmetries Lepton mixing and discrete symmetries

Reference 4

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source=pdf_text observed=2026-08-11T04:52:20.337658Z digest=sha256:0ef7721a795280eed605ff1806fb30424b66369d57108a372eaec6727d72c48d

Observation c3ec32e0-830c-42fb-8099-563451cc6585 · outbound

This paper cites Neutrino Mass and Mixing with Discrete Symmetry.

Large and small hierarchies from finite modular symmetries Neutrino Mass and Mixing with Discrete Symmetry

Reference 5

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source=pdf_text observed=2026-08-11T04:52:20.341602Z digest=sha256:19faac99b4f7961ed1f743156af2c5cae7f5804a0192651ef2e45ed53b25d8c2

Observation 598138be-cab7-44bc-9f4e-68bb21294507 · outbound

This paper cites Kobayashi, H.

Large and small hierarchies from finite modular symmetries Kobayashi, H

Reference 6

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source=pdf_text observed=2026-08-11T04:52:20.345634Z digest=sha256:e85747338bbb544eaea790d7b9ad39c4a6cbf82d00c643bdb8e342e501714bbc

Observation a12adca1-8853-4158-bb92-2814b3015c33 · outbound

This paper cites Neutrino mixing from finite modular groups.

Large and small hierarchies from finite modular symmetries Neutrino mixing from finite modular groups

Reference 7

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source=pdf_text observed=2026-08-11T04:52:20.349571Z digest=sha256:3bd02af345d3e757f6c82369864e8bb48bfc9b5c898c43d60c1be0ff26bc8314

Observation 50318703-7c23-4f95-a4ea-5b368d3f8024 · outbound

This paper cites Lepton Masses and Mixing from Modular $S_4$ Symmetry.

Large and small hierarchies from finite modular symmetries Lepton Masses and Mixing from Modular $S_4$ Symmetry

Reference 8

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source=pdf_text observed=2026-08-11T04:52:20.353409Z digest=sha256:72fd11df8ddac46e1e90b59612181d30a081724d3ee464869934653f54822986

Observation 51e1c029-4efd-4213-aa78-38e69de516b4 · outbound

This paper cites Modular $A_5$ Symmetry for Flavour Model Building.

Large and small hierarchies from finite modular symmetries Modular $A_5$ Symmetry for Flavour Model Building

Reference 9

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source=pdf_text observed=2026-08-11T04:52:20.357298Z digest=sha256:6363338f01253883ae398fb7bee5206e7855169ef51fa14d64b1bed7b3f1a143

Observation de6ab320-8590-4218-89c2-d8d1ee89b409 · outbound

This paper cites Modular symmetry at level 6 and a new route towards finite modular groups.

Large and small hierarchies from finite modular symmetries Modular symmetry at level 6 and a new route towards finite modular groups

Reference 10

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source=pdf_text observed=2026-08-11T04:52:20.360964Z digest=sha256:6f9b5a3deca09e877f13430d4254213754baeb56b8c2a0331d57cb5bb1534b48

Observation fbf7d987-5f19-4cdf-a29d-209a10818e10 · outbound

This paper cites Neutrino Masses and Mixing from Double Covering of Finite Modular Groups.

Large and small hierarchies from finite modular symmetries Neutrino Masses and Mixing from Double Covering of Finite Modular Groups

Reference 11

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source=pdf_text observed=2026-08-11T04:52:20.364532Z digest=sha256:a0dfc567955cf6b45990055cfb79f68ceb70925dc8b75677550091399a8ea683

Observation b030ba73-f809-4d50-a567-937d1b3e20c5 · outbound

This paper cites Double Cover of Modular $S_4$ for Flavour Model Building.

Large and small hierarchies from finite modular symmetries Double Cover of Modular $S_4$ for Flavour Model Building

Reference 12

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source=pdf_text observed=2026-08-11T04:52:20.368187Z digest=sha256:f3bd918b5c7b22816487cb379b487674159c2eeee99b01f65e587ec49c643649

Observation 99a87bbb-6747-4b1b-a289-d11355ecc446 · outbound

This paper cites Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group.

Large and small hierarchies from finite modular symmetries Modular Invariant Quark and Lepton Models in Double Covering of $S_4$ Modular Group

Reference 13

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source=pdf_text observed=2026-08-11T04:52:20.371783Z digest=sha256:b1305534e04a01f902301620c68e36bd993eac96792c3ce4a3f5ed786080afc0

Observation b1c8fbc5-c468-4046-9088-91a287003188 · outbound

This paper cites Double Covering of the Modular $A^{}_5$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model.

Large and small hierarchies from finite modular symmetries Double Covering of the Modular $A^{}_5$ Group and Lepton Flavor Mixing in the Minimal Seesaw Model

Reference 14

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source=pdf_text observed=2026-08-11T04:52:20.375130Z digest=sha256:26a57494e565bde9aada43343eee53ec11221e8a2aa6f0a691568919a43eb412

Observation 6ad39a9a-6bc2-4339-9815-738a487fa1bb · outbound

This paper cites Modular flavor symmetric models.

Large and small hierarchies from finite modular symmetries Modular flavor symmetric models

Reference 15

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source=pdf_text observed=2026-08-11T04:52:20.378702Z digest=sha256:fae4188d20944e251fef12debbe3750082829b13d5ac2b9db37a07744f755aa4

Observation 9f71d59a-2983-4c29-a5f2-c287c67a36b9 · outbound

This paper cites Neutrino Mass and Mixing with Modular Symmetry.

Large and small hierarchies from finite modular symmetries Neutrino Mass and Mixing with Modular Symmetry

Reference 16

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source=pdf_text observed=2026-08-11T04:52:20.382303Z digest=sha256:ec1291582531437207353b7b34207ba9571d8dba71738e6e66646a405276a116

Observation e8059014-0ff7-4841-ad06-17663538fc57 · outbound

This paper cites Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau = i$.

Large and small hierarchies from finite modular symmetries Modular Invariant Dynamics and Fermion Mass Hierarchies around $\tau = i$

Reference 17

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source=pdf_text observed=2026-08-11T04:52:20.385869Z digest=sha256:d7cc9e811cf5f84a554288f74afd99775a644bfb6952f44556ea07f91a7a9c4f

Observation 30690757-0a01-4a4d-a89b-8d15086610ee · outbound

This paper cites Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries.

Large and small hierarchies from finite modular symmetries Fermion Mass Hierarchies, Large Lepton Mixing and Residual Modular Symmetries

Reference 18

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source=pdf_text observed=2026-08-11T04:52:20.389501Z digest=sha256:9cb2af9908a031fec778a37f1e2d103bce475c05371df1d32953f96c9f5f1459

Observation e896aa86-cfc7-445c-a2aa-6657d56e81c3 · outbound

This paper cites $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau = \omega$.

Large and small hierarchies from finite modular symmetries $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau = \omega$

Reference 19

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source=pdf_text observed=2026-08-11T04:52:20.393105Z digest=sha256:b71653bafeb29d8146a49d7530ebb72a3567cfaa3f78443937020b30d7ad5a92

Observation 6b28f645-dc55-4e77-9fda-6f919c2fb3ba · outbound

This paper cites Quark hierarchical structures in modular symmetric flavor models at level 6.

Large and small hierarchies from finite modular symmetries Quark hierarchical structures in modular symmetric flavor models at level 6

Reference 20

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source=pdf_text observed=2026-08-11T04:52:20.396531Z digest=sha256:6721a2946bc98088224c4fcbe978e9db16ee20ecc7d09973959944b84fe7c836

Observation 0ef096f0-aa8d-4640-96d4-ed90264f42bf · outbound

This paper cites Quark masses and CKM hierarchies from $S_4^\prime$ modular flavor symmetry.

Large and small hierarchies from finite modular symmetries Quark masses and CKM hierarchies from $S_4^\prime$ modular flavor symmetry

Reference 21

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source=pdf_text observed=2026-08-11T04:52:20.400045Z digest=sha256:e9331314c829d52dec8c63f17fafd2ccf23879e7e6752d7b3cc019505a511845

Observation e61870ce-69d8-4c4f-bb50-41b16a1d4526 · outbound

This paper cites Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models.

Large and small hierarchies from finite modular symmetries Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models

Reference 22

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source=pdf_text observed=2026-08-11T04:52:20.403494Z digest=sha256:782f286bd322f54331a721d9b8a59bebdf736d32b2cf26fc6f517b183c3f0cda

Observation 382bc7bf-d8a8-451b-990e-bfa5cdcfc56a · outbound

This paper cites Quark and lepton hierarchies from $S_4^\prime$ modular flavor symmetry.

Large and small hierarchies from finite modular symmetries Quark and lepton hierarchies from $S_4^\prime$ modular flavor symmetry

Reference 23

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source=pdf_text observed=2026-08-11T04:52:20.407090Z digest=sha256:26e8e96b87fbdd0cf870744019be4fb822e6b5caa975e756c26c794c97c8df86

Observation 6cae424e-45bc-40d0-ab33-788c5f929270 · outbound

This paper cites $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau = i\infty$.

Large and small hierarchies from finite modular symmetries $A_4$ Modular Flavour Model of Quark Mass Hierarchies close to the Fixed Point $\tau = i\infty$

Reference 24

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source=pdf_text observed=2026-08-11T04:52:20.410455Z digest=sha256:64623f07102cdbd7224290ec109c9804e1f146640e69c676b93621ff8edb32d2

Observation 19af20a5-c336-48eb-8d36-b5fb65e6ce61 · outbound

This paper cites Fermion Hierarchies in $SU(5)$ Grand Unification from $\Gamma_6^\prime$ Modular Flavor Symmetry.

Large and small hierarchies from finite modular symmetries Fermion Hierarchies in $SU(5)$ Grand Unification from $\Gamma_6^\prime$ Modular Flavor Symmetry

Reference 25

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source=pdf_text observed=2026-08-11T04:52:20.414145Z digest=sha256:e9454246f7c456feaebca93b6a211be1bc2b957366cfa58d961937241be002c6

Observation 50aec203-9583-4842-9304-8e6db7059aa4 · outbound

This paper cites Quarks at the modular $S_4$ cusp.

Large and small hierarchies from finite modular symmetries Quarks at the modular $S_4$ cusp

Reference 26

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source=pdf_text observed=2026-08-11T04:52:20.417565Z digest=sha256:f6d88c421d5de6b5e19c0a7981b1e3b279b27ca4ed1bccf2e426f940278c8cbc

Observation d37702e8-e55e-4b69-a1cd-e16907a0df99 · outbound

This paper cites $Sp(6,Z)$ modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $\widetilde{\Delta}(96)$.

Large and small hierarchies from finite modular symmetries $Sp(6,Z)$ modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $\widetilde{\Delta}(96)$

Reference 27

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Observation f8efdd86-eb02-4390-9e8d-7451215855b2 · outbound

This paper cites CP phase in modular flavor models and discrete Froggatt-Nielsen models.

Large and small hierarchies from finite modular symmetries CP phase in modular flavor models and discrete Froggatt-Nielsen models

Reference 28

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Observation fc2fa115-4d41-4672-9ed1-3d691d9901a2 · outbound

This paper cites an unresolved cited work.

Large and small hierarchies from finite modular symmetries Unresolved cited work

Reference 29

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Observation ea2d2c4a-c4b1-42de-abc1-98f995f35617 · outbound

This paper cites Ferrara, N.

Large and small hierarchies from finite modular symmetries Ferrara, N

Reference 30

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Observation 32788bbf-521c-4ba8-b0fe-426050118ea0 · outbound

This paper cites Cvetic, A.

Large and small hierarchies from finite modular symmetries Cvetic, A

Reference 31

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Observation 28422fe4-c96c-426b-a34f-770ec4dd0b3e · outbound

This paper cites $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry.

Large and small hierarchies from finite modular symmetries $A_4$ lepton flavor model and modulus stabilization from $S_4$ modular symmetry

Reference 32

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source=pdf_text observed=2026-08-11T04:52:20.439145Z digest=sha256:ecdee0e363b611afd9158fe2bf39c6d93cdf792638654b3ff0d73fd6b6bf4138

Observation a015764f-141c-432a-8766-ebb365ec4ce6 · outbound

This paper cites $CP$ violation in modular invariant flavor models.

Large and small hierarchies from finite modular symmetries $CP$ violation in modular invariant flavor models

Reference 33

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Observation 3f05d656-92b7-4b6a-b663-15b9a553bacf · outbound

This paper cites Modular Flavour Symmetries and Modulus Stabilisation.

Large and small hierarchies from finite modular symmetries Modular Flavour Symmetries and Modulus Stabilisation

Reference 34

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Observation a31108bb-ae31-4b8a-bb78-d4ace6c0bf33 · outbound

This paper cites Matter matters in moduli fixing and modular flavor symmetries.

Large and small hierarchies from finite modular symmetries Matter matters in moduli fixing and modular flavor symmetries

Reference 35

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source=pdf_text observed=2026-08-11T04:52:20.450537Z digest=sha256:16972c111ee774329c6df9b2ba74d54440edb60cff72e32a182c01ed09bb0324

Observation f8f0b0bb-064c-4905-8944-b222894f88e9 · outbound

This paper cites Modulus stabilisation in the multiple-modulus framework.

Large and small hierarchies from finite modular symmetries Modulus stabilisation in the multiple-modulus framework

Reference 36

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local_arxiv, observed 2026-08-11T04:52:21.044410Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:52:20.454106Z digest=sha256:f43258647749ae57082f78e997c6225679f26a38ed418e6f3348551147324a15

Observation 5e938633-0c82-4fef-8de6-212e959b4b15 · outbound

This paper cites Heterotic de Sitter Beyond Modular Symmetry.

Large and small hierarchies from finite modular symmetries Heterotic de Sitter Beyond Modular Symmetry

Reference 37

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source=pdf_text observed=2026-08-11T04:52:20.457518Z digest=sha256:8bac584f4b07bcb3303c651959ce710c12b9d59d07f19186d34f075548f56a4c

Observation 30724e96-aa5c-473c-9cec-38556dc1574b · outbound

This paper cites Moduli stabilization in finite modular symmetric models.

Large and small hierarchies from finite modular symmetries Moduli stabilization in finite modular symmetric models

Reference 38

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source=pdf_text observed=2026-08-11T04:52:20.461157Z digest=sha256:2c907e30e8c56124971fc63c4947ac5c85cd88943a844763f1efa817d042a0b3

Observation f3ba6332-0d9a-4565-bf18-f3d1239c386e · outbound

This paper cites Spontaneous CP violation and partially broken modular flavor symmetries.

Large and small hierarchies from finite modular symmetries Spontaneous CP violation and partially broken modular flavor symmetries

Reference 39

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source=pdf_text observed=2026-08-11T04:52:20.465029Z digest=sha256:ba318d2f1fa6d7aa36b28d147d07395ab96bb042fddba032cbf3581a9426af64

Observation ac6e5168-483b-4c4a-9278-1e960d913ade · outbound

This paper cites an unresolved cited work.

Large and small hierarchies from finite modular symmetries Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-11T04:52:20.468804Z digest=sha256:8a878def84144d2d7ec5c9b6618c499a2e208a06644eb205de85f06124c4c436

Observation 3d24c798-82a6-436c-ac07-3892ae26e801 · outbound

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

Large and small hierarchies from finite modular symmetries CFT's From Calabi-Yau Four-folds

Reference 41

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source=pdf_text observed=2026-08-11T04:52:20.472366Z digest=sha256:d4939c6cd0d7064206bc9d49e8fe0d21f6b6a1357e781e9083adf2a10c865e4a

Observation bc16c938-9916-465a-a25a-76c251ca97c4 · outbound

This paper cites Landscape of Modular Symmetric Flavor Models.

Large and small hierarchies from finite modular symmetries Landscape of Modular Symmetric Flavor Models

Reference 42

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source=pdf_text observed=2026-08-11T04:52:20.476169Z digest=sha256:4b333756db438389f6c4608f5aa67c481ba19293e1a49394e5d2ced52902d9e9

Observation 15cca2af-dfd5-4ce2-af25-1f44ec04b889 · outbound

This paper cites Residual flavor symmetry breaking in the landscape of modular flavor models.

Large and small hierarchies from finite modular symmetries Residual flavor symmetry breaking in the landscape of modular flavor models

Reference 43

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no resolver link, observed 2026-08-11T04:52:20.479860Z

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source=pdf_text observed=2026-08-11T04:52:20.479860Z digest=sha256:8e7443ce27c2e0e2a88f34c8719968a9ac7df3ea439ce9fe7831c1c9d1a903b6

Observation 78f5720f-0a0f-4b77-9bc4-67e44feb9f2b · outbound

This paper cites Modular invariant inflation.

Large and small hierarchies from finite modular symmetries Modular invariant inflation

Reference 44

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no resolver link, observed 2026-08-11T04:52:20.483430Z

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source=pdf_text observed=2026-08-11T04:52:20.483430Z digest=sha256:3e8c151bb2d08743dfcc00afe583ff091012f97b739466617d96cb27965dcf6b

Observation c2096e55-6d88-42c5-a84d-9c7101e1be31 · outbound

This paper cites Moduli inflation from modular flavor symmetries.

Large and small hierarchies from finite modular symmetries Moduli inflation from modular flavor symmetries

Reference 45

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no resolver link, observed 2026-08-11T04:52:20.487069Z

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source=pdf_text observed=2026-08-11T04:52:20.487069Z digest=sha256:90953fd2d591cb04983cb15b81d3e58e3d5b7ed6a94d490fc3bf28d7fcb7fc2e

Observation 44fd3a16-3e6b-4bb7-a990-2a54d16d8d64 · outbound

This paper cites Modular Invariant Slow Roll Inflation.

Large and small hierarchies from finite modular symmetries Modular Invariant Slow Roll Inflation

Reference 46

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no resolver link, observed 2026-08-11T04:52:20.490621Z

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source=pdf_text observed=2026-08-11T04:52:20.490621Z digest=sha256:85eac228a51cb851025d98ff68c5a537f6057c68985d9e5b15906d0ebaf53ead

Observation dc8fd0f8-1f64-4fba-8e7d-85299eb242fe · outbound

This paper cites Modular Invariant Hilltop Inflation.

Large and small hierarchies from finite modular symmetries Modular Invariant Hilltop Inflation

Reference 47

Resolution
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no resolver link, observed 2026-08-11T04:52:20.494108Z

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source=pdf_text observed=2026-08-11T04:52:20.494108Z digest=sha256:256cfdf6eabffdaf6fd383442fc5488ab9f8ce460d0ffa993b8fb3bad6d6e0ed

Observation 9de9dbf4-07a5-4011-8b2a-9bb589a5a21f · outbound

This paper cites Modular Invariant Starobinsky Inflation and the Species Scale.

Large and small hierarchies from finite modular symmetries Modular Invariant Starobinsky Inflation and the Species Scale

Reference 48

Resolution
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no resolver link, observed 2026-08-11T04:52:20.497767Z

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source=pdf_text observed=2026-08-11T04:52:20.497767Z digest=sha256:26551f4f2f3deff47dbf73869457e8e5e21e8bd1903bc5c0d298feb3572b7a98

Observation 2fb686ac-054d-45c8-905c-e5104031a28d · outbound

This paper cites Moduli trapping mechanism in modular flavor symmetric models.

Large and small hierarchies from finite modular symmetries Moduli trapping mechanism in modular flavor symmetric models

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:52:20.793550Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:52:20.501921Z digest=sha256:1949936ac7be0152e480bf52afccd41d2e0883877794eaf50ce610242915cd2d

Observation bae81dc6-a8f7-473a-a764-31f062752f9f · outbound

This paper cites Radiative correction on moduli stabilization in modular flavor symmetric models.

Large and small hierarchies from finite modular symmetries Radiative correction on moduli stabilization in modular flavor symmetric models

Reference 50

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source=pdf_text observed=2026-08-11T04:52:20.505544Z digest=sha256:e4107d3688e0e8c036a48cbb8644ea3acbe0eb5216518774dd525da08fa4f741

Observation c9586ace-2aa9-402f-a214-4b4068c11a19 · outbound

This paper cites Finite modular axion and radiative moduli stabilization.

Large and small hierarchies from finite modular symmetries Finite modular axion and radiative moduli stabilization

Reference 51

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source=pdf_text observed=2026-08-11T04:52:20.509441Z digest=sha256:af0494317ab2fb8bd0c5c63334d7e990efb698712c5bd86a3488796903dd4823

Observation 6cfd57ef-1cd3-4e20-9411-aad1269c7f61 · outbound

This paper cites Finite modular majoron.

Large and small hierarchies from finite modular symmetries Finite modular majoron

Reference 52

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source=pdf_text observed=2026-08-11T04:52:20.513203Z digest=sha256:d3941e1bfce1d2eb8744d2c5fdae2504c2f998773f3582fae431074097fe9c12

Observation 0d342ab5-2369-47c1-86b4-54ea51826ef4 · outbound

This paper cites Common origin of the strong CP and CKM phases in string compactifications.

Large and small hierarchies from finite modular symmetries Common origin of the strong CP and CKM phases in string compactifications

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-11T04:52:20.749371Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-11T04:52:20.517031Z digest=sha256:5db10598376d12977558180f3bbad1b8358d3099da94e952f7c26dd30f801736

Observation 0216e505-6c93-4a72-b296-62b9fc005923 · outbound

This paper cites Modular invariance and the QCD angle.

Large and small hierarchies from finite modular symmetries Modular invariance and the QCD angle

Reference 54

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no resolver link, observed 2026-08-11T04:52:20.520378Z

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source=pdf_text observed=2026-08-11T04:52:20.520378Z digest=sha256:3c3a62ec0dd43f544cba9fd57a5fc8c6811a0e26f5629d0a71637b0b37d32119

Observation b7b0181e-b979-4e33-bd64-564f2300725a · outbound

This paper cites $A_4$ modular invariance and the strong CP problem.

Large and small hierarchies from finite modular symmetries $A_4$ modular invariance and the strong CP problem

Reference 55

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source=pdf_text observed=2026-08-11T04:52:20.524128Z digest=sha256:2742c50769a649b6f9c02cadb0d45bcaefb16b0adb8d1dc070b8bca0c64669f5

Observation 51ae9aed-b87c-411e-92c0-a640d36f0020 · outbound

This paper cites Finite modular symmetries and the strong CP problem.

Large and small hierarchies from finite modular symmetries Finite modular symmetries and the strong CP problem

Reference 56

Resolution
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source=pdf_text observed=2026-08-11T04:52:20.527675Z digest=sha256:492e03b632c7cd2c0e91902c397ec06524949d41584c92c8831d25c4902cae27

Observation 4adb1631-abba-4039-a7b8-5cf0c44b2d9c · outbound

This paper cites Solving the strong CP problem without axions.

Large and small hierarchies from finite modular symmetries Solving the strong CP problem without axions

Reference 57

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source=pdf_text observed=2026-08-11T04:52:20.531458Z digest=sha256:c929422d7c155acd1dcad9b64f426406f89e5e17016fb23f2f8f839d10768366

Observation 610a54ad-fd77-49af-82e2-edbc06850b91 · outbound

This paper cites CPon Dark Matter.

Large and small hierarchies from finite modular symmetries CPon Dark Matter

Reference 58

Resolution
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no resolver link, observed 2026-08-11T04:52:20.536229Z

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source=pdf_text observed=2026-08-11T04:52:20.536229Z digest=sha256:e96482e064c0ce1ca5c856ef3f4f4d549f20251e24ead78f2fb2f13c203ba62f

Observation 829c2591-e9d1-4081-8581-921e200e4ba9 · outbound

This paper cites Modular symmetry in magnetized $T^{2g}$ torus and orbifold models.

Large and small hierarchies from finite modular symmetries Modular symmetry in magnetized $T^{2g}$ torus and orbifold models

Reference 59

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source=pdf_text observed=2026-08-11T04:52:20.540108Z digest=sha256:9de11aae2493bcf26d005b12c790821a1da5084f9ca1c1c2bfc8e693eb4d90a5

Observation 8e6dc896-d67f-4712-9f71-466a177618a6 · outbound

This paper cites Automorphic Forms and Fermion Masses.

Large and small hierarchies from finite modular symmetries Automorphic Forms and Fermion Masses

Reference 60

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source=pdf_text observed=2026-08-11T04:52:20.543870Z digest=sha256:4aeaf25372a08d31286cd72dc29f6cd58016fc18db49c0d6047ec443e8f9344d

Observation feab5d0c-eb84-483f-b903-e1aa510664e8 · outbound

This paper cites CP Symmetry and Symplectic Modular Invariance.

Large and small hierarchies from finite modular symmetries CP Symmetry and Symplectic Modular Invariance

Reference 61

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source=pdf_text observed=2026-08-11T04:52:20.547685Z digest=sha256:f43ee8035903877380a70c0474a16c8c145824589b6f1eef37b301ae07349a70

Observation 9216bed4-2c93-4e98-b7cd-99e59a56799c · outbound

This paper cites Neutrino Masses and Higher Degree Siegel Modular Forms.

Large and small hierarchies from finite modular symmetries Neutrino Masses and Higher Degree Siegel Modular Forms

Reference 62

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source=pdf_text observed=2026-08-11T04:52:20.551455Z digest=sha256:15d291abe18cdd2d1a76a57313c367abd5c61fa561ac42a4d835049b1c69e865

Observation e7d14ff7-3c2a-4fde-bcbd-350eb4675c15 · outbound

This paper cites Universal predictions of Siegel modular invariant theories near the fixed points.

Large and small hierarchies from finite modular symmetries Universal predictions of Siegel modular invariant theories near the fixed points

Reference 63

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source=pdf_text observed=2026-08-11T04:52:20.555755Z digest=sha256:a9f684ceaa84e41ace9180e99ef06bf4ec8c6559df99b975c530359a3a12539f

Observation 2341cc37-b47e-4568-a4b1-352b27974581 · outbound

This paper cites Moduli stabilization and light axion by Siegel modular forms.

Large and small hierarchies from finite modular symmetries Moduli stabilization and light axion by Siegel modular forms

Reference 64

Resolution
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no resolver link, observed 2026-08-11T04:52:20.559893Z

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source=pdf_text observed=2026-08-11T04:52:20.559893Z digest=sha256:5b1f93ca0807371a38a25b8ef17e25f070c349d1b41c6bdc0aaecdf63c39ef2e

Observation a39ccd10-1c09-484a-9cb3-ac66d327b87a · outbound

This paper cites Modular symmetry of soft supersymmetry breaking terms.

Large and small hierarchies from finite modular symmetries Modular symmetry of soft supersymmetry breaking terms

Reference 65

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source=pdf_text observed=2026-08-11T04:52:20.565524Z digest=sha256:61d630af17b943a4e5086e56fff9227ee80a6a80ebf6f358dff4731dfd52c8fa

Observation 096fa529-8c2b-4c45-abe7-b85d5ec1038b · outbound

This paper cites Measurement of the permanent electric dipole moment of the neutron.

Large and small hierarchies from finite modular symmetries Measurement of the permanent electric dipole moment of the neutron

Reference 66

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source=pdf_text observed=2026-08-11T04:52:20.569351Z digest=sha256:545e03b53b72c947a91379a4f24c260741fca0877c68748569480cb59f84959c

Pith citing papers

Observation e8ae669a-dac4-4640-9b52-e3a2d6f6f5e4 · inbound

Modulus stabilization of modular flavor models in Jordan frame supergravity cites this paper.

Modulus stabilization of modular flavor models in Jordan frame supergravity Large and small hierarchies from finite modular symmetries

Reference 55

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no resolver link, observed 2026-08-03T10:45:52.684568Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T10:45:52.684568Z digest=sha256:3c4e079109c98dea60cc8aff99c9cc8d6dde394d654ae4970861e5facb739be6

Observation 7de443ad-b10a-45d4-9c34-de0b42788aa2 · inbound

Finite modular Coleman-Weinberg inflation cites this paper.

Finite modular Coleman-Weinberg inflation Large and small hierarchies from finite modular symmetries

Reference 50

Resolution
verified exact
arxiv_id, observed 2026-07-02T10:56:52.117567Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-07-02T10:50:33.591669Z digest=sha256:6a19a5a5af86c5c31d5586c06d0e7885ac665d086da7bf5bebbce7508627e5ad