Paper Citation Record · LEDGER

Flavor Moonshine

As of 15 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:1908.11032.

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

pith.paper-citation-record.v1
1908.11032 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:32:31.867483Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

verified exact1
verified fuzzy29
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 06f5f316-1338-406e-9139-9a1ffba6a587 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.448766Z

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.

Observation fc3f6ad5-d496-4367-9f15-597e41987252 · outbound

This paper cites with a,b : integer.

Flavor Moonshine with a,b : integer

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.458004Z

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.

Observation 206ce799-9eb1-4e4e-bd46-151201d31cce · outbound

This paper cites However, in section IV, we will deﬁne and use the modular form corresponding to the Higgs ﬁeld: JH(w) = ∑ k hkwk (17) corresponding to J(q,r ).

Flavor Moonshine However, in section IV, we will deﬁne and use the modular form corresponding to the Higgs ﬁeld: JH(w) = ∑ k hkwk (17) corresponding to J(q,r )

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.438866Z

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.

Observation 0ae722c5-9833-48e0-93bd-cdbd112eefc6 · outbound

This paper cites The usual treatment of these variables is to regard them as a scalar ﬁeld in the four-dimensional space-time and to try t o ﬁnd a way to stabilize them.

Flavor Moonshine The usual treatment of these variables is to regard them as a scalar ﬁeld in the four-dimensional space-time and to try t o ﬁnd a way to stabilize them

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.426853Z

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.

Observation 4361f45a-f955-452f-b03b-263bdb34edaa · outbound

This paper cites generation.

Flavor Moonshine generation

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.417488Z

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.

Observation aa2cebc3-3b42-47a9-b3d4-6cd7b9b752f9 · outbound

This paper cites 63 0 0 0 893.

Flavor Moonshine 63 0 0 0 893

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.407773Z

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.

Observation d6f3cb99-6bff-4c4b-ad30-5d4997579f6b · outbound

This paper cites 5 0 0 0 1558     .

Flavor Moonshine 5 0 0 0 1558     

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.398000Z

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.

Observation 094c12d0-90ab-496b-8983-0fac898b0d33 · outbound

This paper cites Then we have, for the three generation case, G4 → M3 =      11 0 0 4320 480 0 280800 165120 35040     .

Flavor Moonshine Then we have, for the three generation case, G4 → M3 =      11 0 0 4320 480 0 280800 165120 35040     

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.387714Z

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.

Observation ba49a194-819b-4a2f-ad6d-22842ecc33b8 · outbound

This paper cites 964 0 0 0 173     .

Flavor Moonshine 964 0 0 0 173     

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.377451Z

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.

Observation a7a3d348-fb7a-4a44-8a37-d0ef6b56e9bf · outbound

This paper cites The God Particle.

Flavor Moonshine The God Particle

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:31.990278Z

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.

Observation 2fdfdc30-0f79-45a9-a8db-f45b0a7c4a58 · outbound

This paper cites We need to use multi-variable modular forms for this purpose.

Flavor Moonshine We need to use multi-variable modular forms for this purpose

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.357244Z

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.

Observation ee5a9a5f-a7fa-427b-a4c1-79d2e47a1397 · outbound

This paper cites As such, it corresponds to the procedure of integrating over the modular variables which ar e identiﬁed as Calabi-Yau moduli if we combine our model with string theory.

Flavor Moonshine As such, it corresponds to the procedure of integrating over the modular variables which ar e identiﬁed as Calabi-Yau moduli if we combine our model with string theory

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.346952Z

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.

Observation 00dbd49b-2d18-4862-b46d-67b87064b4c0 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.335713Z

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.

Observation c0ad9f3a-ad5f-4264-ae21-eac3bfbd991b · outbound

This paper cites Further questions arise such as: Do we have a gra nd uniﬁed scale? Do we have a phase transition from G = 3 to G ≥ 4 at some point in higher energy?.

Flavor Moonshine Further questions arise such as: Do we have a gra nd uniﬁed scale? Do we have a phase transition from G = 3 to G ≥ 4 at some point in higher energy?

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.325708Z

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.

Observation df15cf49-ed95-4e12-877f-b9aa3b71a256 · outbound

This paper cites God particle,.

Flavor Moonshine God particle,

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.316088Z

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.

Observation 64ec1222-b99b-4fe8-b7b6-a81effeff722 · outbound

This paper cites Appendix A: Numerical ﬁtting for experimantal data We calculated numerically the CKM and PMNS matrices and ﬁt the exper imental data to them.

Flavor Moonshine Appendix A: Numerical ﬁtting for experimantal data We calculated numerically the CKM and PMNS matrices and ﬁt the exper imental data to them

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.306766Z

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.

Observation 005c5986-8091-4b2b-9dba-7a4bce929391 · outbound

This paper cites diﬀerence.

Flavor Moonshine diﬀerence

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.296763Z

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.

Observation e12a48b6-dccc-4a0d-b156-9365e2c62926 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.287314Z

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.

Observation 4165b72f-703d-49a1-b47a-1e6246284225 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.277709Z

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.

Observation c2a1c397-86d0-423c-95ca-36ccbe98d413 · outbound

This paper cites 435i − 0.

Flavor Moonshine 435i − 0

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.267159Z

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.

Observation 042e2ab7-ad74-4a90-a1c2-2790f3880122 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.257195Z

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.

Observation ddd3551b-4f28-4c60-b2ee-d4d98c8fb961 · outbound

This paper cites This is due to large hierarchical property of the mass matrices.

Flavor Moonshine This is due to large hierarchical property of the mass matrices

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.245959Z

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.

Observation 42e4d0a2-f1f0-4d86-98f6-59cfb8e2a4a8 · outbound

This paper cites The fact that our result is not far from the experimental value may indicate that our theory is indeed a low energy theory rather than the very short distance theory.

Flavor Moonshine The fact that our result is not far from the experimental value may indicate that our theory is indeed a low energy theory rather than the very short distance theory

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.235459Z

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.

Observation d7e3cb80-d33f-4917-b10f-bdf0e36652cf · outbound

This paper cites We discuss the two cases of pure Dirac neutrino and Majorana neutrino with seesaw approximation.

Flavor Moonshine We discuss the two cases of pure Dirac neutrino and Majorana neutrino with seesaw approximation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.224889Z

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.

Observation 1cd0eff1-2bd7-4f6e-953a-9d62771025a9 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.213694Z

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.

Observation 87b7e4ac-a3a1-4b97-a8c0-8a60c43d3d63 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.203977Z

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.

Observation 02602cb7-f3d9-47b9-a020-bc80c2bcfcaf · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.194561Z

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.

Observation 3c06716c-dbb7-44fa-8a20-db09d9c5672c · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.184877Z

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.

Observation 8b126f58-c207-4448-bd58-4a3f15dc5866 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.176357Z

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.

Observation d95146a1-d7df-4ba2-86fd-7fdd0a951cdd · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.167301Z

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.

Observation 91cd4874-26b5-457f-ba95-1839b4d262be · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.158578Z

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.

Observation c2c80c01-8c4c-440c-a27c-8e75a11b354f · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.148938Z

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.

Observation 7053e34b-2bec-442b-88f3-0470374d3e5c · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.138719Z

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.

Observation 9ecc4779-c2e9-483a-9bec-d013252ceb30 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.128644Z

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.

Observation f88dfb67-ecb4-4237-abef-d84678682cf5 · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.118707Z

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.

Observation ea1a5625-074f-47df-b11e-d96d1dbcfb1c · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.108696Z

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.

Observation f6a58de8-9337-4229-83ef-6a429506e14b · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.098981Z

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.

Observation 1f1d670a-7d8e-4b95-a34e-0773548a12fa · outbound

This paper cites 37π = − 1.

Flavor Moonshine 37π = − 1

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.088094Z

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.

Observation eaa0b42c-c529-4631-9b1d-6a3fcff39c9b · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.078361Z

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.

Observation 80f79034-245b-49e1-8567-d3c70dcbaec3 · outbound

This paper cites However, we obtain too large a value for sin θ13.

Flavor Moonshine However, we obtain too large a value for sin θ13

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.068631Z

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.

Observation 5d650d28-d108-40ca-b4ea-ebceb35d938b · outbound

This paper cites an unresolved cited work.

Flavor Moonshine Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:32:32.367334Z

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.

Observation 1f27951a-c009-4e09-8e69-08b77499acd7 · outbound

This paper cites Since masses have the large hie rarchical property in our calculations, as a consequence |∆m2 32| never exceed |∆m2 21|.

Flavor Moonshine Since masses have the large hie rarchical property in our calculations, as a consequence |∆m2 32| never exceed |∆m2 21|

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.054578Z

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.

Observation 1647bd2b-c32a-4abe-8cf0-d9d5a8812d80 · outbound

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

Flavor Moonshine Discrete Flavor Symmetries and Models of Neutrino Mixing

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-14T10:32:31.815964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc717f9b-6efb-46af-8196-905370ea4399 · outbound

This paper cites Strominger and E.

Flavor Moonshine Strominger and E

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.044668Z

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.

Observation 18efbde7-4c3f-455a-b53f-3854b2a4dae1 · outbound

This paper cites Notes on the K3 Surface and the Mathieu group M_24.

Flavor Moonshine Notes on the K3 Surface and the Mathieu group M_24

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-14T10:32:31.824229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6b55f51-1a17-405d-bc6e-62fa6497f7ea · outbound

This paper cites Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops.

Flavor Moonshine Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-14T10:32:31.828322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e07feaf1-358b-45e4-90d7-b55e66d59ac5 · outbound

This paper cites Cohn and J.

Flavor Moonshine Cohn and J

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.035068Z

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.

Observation 80039e20-36bd-4934-ad13-7ad15ecdf52b · outbound

This paper cites Supersymmetry and Supergravity.

Flavor Moonshine Supersymmetry and Supergravity

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.023590Z

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.

Observation c54977af-5ff8-4683-a3c3-56db84b36a21 · outbound

This paper cites Candelas and X.

Flavor Moonshine Candelas and X

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.012344Z

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.

Observation b9a5de0b-612b-4cd6-9d6d-949c3185a751 · outbound

This paper cites Hilbert Modular Forms.

Flavor Moonshine Hilbert Modular Forms

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:32.001731Z

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.

Observation 6918e842-ea04-4e2a-9e70-401ef4dda5fa · outbound

This paper cites Modular Invariance Faces Precision Neutrino Data.

Flavor Moonshine Modular Invariance Faces Precision Neutrino Data

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-14T10:32:31.849482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc162d66-05ba-4f99-a7eb-46c1e91f702d · outbound

This paper cites Monstrous moonshine.

Flavor Moonshine Monstrous moonshine

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:31.979337Z

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.

Observation 645a9ebb-be13-4902-b9ab-a785af20e30a · outbound

This paper cites Tanabashi et al.

Flavor Moonshine Tanabashi et al

Reference 53

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:32:31.968035Z

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.

Observation 02bb83ea-52a6-48bd-b533-94e64f0b6fb6 · outbound

This paper cites Universal Evolution of CKM Matrix Elements.

Flavor Moonshine Universal Evolution of CKM Matrix Elements

Reference 54

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This paper cites Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering.

Flavor Moonshine Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of theta_23, delta_CP, and the mass ordering

Reference 55

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