Paper Citation Record · LEDGER

Mass Hierarchy of Z(2) Monopoles

As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2412.00210.

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

pith.paper-citation-record.v1
2412.00210 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:47:44.408740Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 87751c45-b516-457a-abf2-26275db88637 · outbound

This paper cites Dirac, Quantised singularities in the electromagnetic field, Proc.

Mass Hierarchy of Z(2) Monopoles Dirac, Quantised singularities in the electromagnetic field, Proc

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.834477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fa87d854-fadf-4e17-b21f-486f87ec3fae · outbound

This paper cites ’t Hooft, Magnetic monopoles in unified gauge theories, Nucl.

Mass Hierarchy of Z(2) Monopoles ’t Hooft, Magnetic monopoles in unified gauge theories, Nucl

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.824720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3f1548eb-ae65-40e8-adf1-cd780e334f90 · outbound

This paper cites Polyakov, Particle spectrum in quantum field theory, JETP Lett.

Mass Hierarchy of Z(2) Monopoles Polyakov, Particle spectrum in quantum field theory, JETP Lett

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.815139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0940872f-851f-4ceb-a932-28a4882bc3c1 · outbound

This paper cites Julia and A.

Mass Hierarchy of Z(2) Monopoles Julia and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.804685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 594ae6a7-27ae-445a-9d8b-07f8aa3ae096 · outbound

This paper cites Bais and J.R.

Mass Hierarchy of Z(2) Monopoles Bais and J.R

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.794935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e465045e-a9e1-48ef-b741-b87dd6f90063 · outbound

This paper cites Weinberg, Fundamental monopoles and multimonopole solutions for arbitrary simple gauge groups, Nuclear Physics B (1980) 500.

Mass Hierarchy of Z(2) Monopoles Weinberg, Fundamental monopoles and multimonopole solutions for arbitrary simple gauge groups, Nuclear Physics B (1980) 500

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.784470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bbda0c94-c781-431e-880a-5c3a4afbb6d6 · outbound

This paper cites Taubes, The Existence of Multi - Monopole Solutions to the Nonabelian, Yang-Mills Higgs Equations for Arbitrary Simple Gauge Groups, Commun.

Mass Hierarchy of Z(2) Monopoles Taubes, The Existence of Multi - Monopole Solutions to the Nonabelian, Yang-Mills Higgs Equations for Arbitrary Simple Gauge Groups, Commun

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.773342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 110ff31f-75d5-4e4c-88ff-46a0451f1ced · outbound

This paper cites Weinberg, Fundamental Monopoles in Theories With Arbitrary Symmetry Breaking, Nucl.

Mass Hierarchy of Z(2) Monopoles Weinberg, Fundamental Monopoles in Theories With Arbitrary Symmetry Breaking, Nucl

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.762286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8bc7b45a-b758-4d8d-948f-56d58c4bf1a1 · outbound

This paper cites Montonen and D.I.

Mass Hierarchy of Z(2) Monopoles Montonen and D.I

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.752174Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91795ed8-629d-48a2-bae7-6e9077f1a04f · outbound

This paper cites Goddard, J.

Mass Hierarchy of Z(2) Monopoles Goddard, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.741874Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 206a1ae1-a0fc-467e-8b6e-cc6ccc330701 · outbound

This paper cites Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1, Phys.

Mass Hierarchy of Z(2) Monopoles Osborn, Topological Charges for N=4 Supersymmetric Gauge Theories and Monopoles of Spin 1, Phys

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.731453Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 255bb6be-a193-4c48-8d1a-b3baad8260a6 · outbound

This paper cites Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories.

Mass Hierarchy of Z(2) Monopoles Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-12T05:47:44.317758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e94cac4-8101-46f7-abe7-3c8ea66826bb · outbound

This paper cites Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD.

Mass Hierarchy of Z(2) Monopoles Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T05:47:44.321938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6aad2bfb-0996-4319-8965-bdf366f9521b · outbound

This paper cites Hooft, Gauge theories with unified weak, electromagnetic and strong interactions, International physics series (1975) 1225.

Mass Hierarchy of Z(2) Monopoles Hooft, Gauge theories with unified weak, electromagnetic and strong interactions, International physics series (1975) 1225

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.721224Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation af148e68-e5e7-40db-915f-e2a6c8128d1a · outbound

This paper cites Mandelstam, Vortices and Quark Confinement in Nonabelian Gauge Theories, Phys.

Mass Hierarchy of Z(2) Monopoles Mandelstam, Vortices and Quark Confinement in Nonabelian Gauge Theories, Phys

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.711012Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fc2fbfc6-0ea1-4415-ad65-6d5b041b1773 · outbound

This paper cites Kronfeld, M.L.

Mass Hierarchy of Z(2) Monopoles Kronfeld, M.L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.700507Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bdb612c3-febe-4424-b259-ebb82efd5d3e · outbound

This paper cites Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory.

Mass Hierarchy of Z(2) Monopoles Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-12T05:47:44.336158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 179ba3d9-1779-4b1c-b26d-064ec165d67c · outbound

This paper cites The Confinement Problem in Lattice Gauge Theory.

Mass Hierarchy of Z(2) Monopoles The Confinement Problem in Lattice Gauge Theory

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-12T05:47:44.339708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95e4b0be-9c6b-4c78-8b77-02507ddc19a1 · outbound

This paper cites Weinberg, D.

Mass Hierarchy of Z(2) Monopoles Weinberg, D

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.690561Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dc852fbb-627f-4910-8e15-364bd0ced790 · outbound

This paper cites Bais and R.

Mass Hierarchy of Z(2) Monopoles Bais and R

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.680850Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c61baea2-741c-496f-91b4-6df7a7877dbd · outbound

This paper cites Kneipp and P.

Mass Hierarchy of Z(2) Monopoles Kneipp and P

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.670279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f92dfad7-1e14-4b0c-9962-6e62b668e448 · outbound

This paper cites Kneipp and P.

Mass Hierarchy of Z(2) Monopoles Kneipp and P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.659577Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec7fb719-440c-4449-a6c6-7e9289bd7ebd · outbound

This paper cites Wu and C.N.

Mass Hierarchy of Z(2) Monopoles Wu and C.N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.649448Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 54c9303b-8227-44ea-97fc-ecd9f3afccb1 · outbound

This paper cites Arafune, P.G.O.

Mass Hierarchy of Z(2) Monopoles Arafune, P.G.O

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.638911Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6fbade6d-2c56-4e10-bd2e-c8b9bdca8030 · outbound

This paper cites Rose, Elementary Theory of Angular Momentum, Dover books on physics and chemistry , Dover (1995).

Mass Hierarchy of Z(2) Monopoles Rose, Elementary Theory of Angular Momentum, Dover books on physics and chemistry , Dover (1995)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.628883Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 049e2a0c-1511-4e7b-8ae1-6b811a8eb45a · outbound

This paper cites Wilkinson and A.S.

Mass Hierarchy of Z(2) Monopoles Wilkinson and A.S

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.618291Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a859a173-9220-4d53-a2ca-3a95f48a74d2 · outbound

This paper cites Li, Group theory of the spontaneously broken gauge symmetries, Phys.

Mass Hierarchy of Z(2) Monopoles Li, Group theory of the spontaneously broken gauge symmetries, Phys

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.608753Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b964947e-f18a-4d19-9776-f9ad760b4edd · outbound

This paper cites Lorente and B.

Mass Hierarchy of Z(2) Monopoles Lorente and B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.598920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5e6d0e9c-d5ef-42d9-8299-53b92e53381b · outbound

This paper cites Fuchs and C.

Mass Hierarchy of Z(2) Monopoles Fuchs and C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.589408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 15adc434-3c12-41be-b72d-fa1fb3e88f46 · outbound

This paper cites Wilczek, Inequivalent embeddings of su(2) and instanton interactions, Physics Letters B 65 (1976) 160.

Mass Hierarchy of Z(2) Monopoles Wilczek, Inequivalent embeddings of su(2) and instanton interactions, Physics Letters B 65 (1976) 160

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.579565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fa87cc53-3442-49d2-b193-e31de599f346 · outbound

This paper cites Georgi, Lie algebras in particle physics: from isospin to unified theories, Taylor & Francis (2000).

Mass Hierarchy of Z(2) Monopoles Georgi, Lie algebras in particle physics: from isospin to unified theories, Taylor & Francis (2000)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.569397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation bbf1bf3a-ef21-4b68-9b51-c5b1b15a427d · outbound

This paper cites Bogomolny ,Stability of classical solutions, Sov.

Mass Hierarchy of Z(2) Monopoles Bogomolny ,Stability of classical solutions, Sov

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.558694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9d3b4404-3903-4ade-b130-54613395ac7f · outbound

This paper cites Bezanson, A.

Mass Hierarchy of Z(2) Monopoles Bezanson, A

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.547791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0414e8fd-d8c2-4990-b61f-fbdb2a9e257b · outbound

This paper cites Rackauckas and Q.

Mass Hierarchy of Z(2) Monopoles Rackauckas and Q

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.535836Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b34898e3-92fd-4f8f-bc96-e27b221d0ca3 · outbound

This paper cites Cash, Runge-kutta methods for the solution of stiff two-point boundary value problems, Applied Numerical Mathematics 22 (1996) 165.

Mass Hierarchy of Z(2) Monopoles Cash, Runge-kutta methods for the solution of stiff two-point boundary value problems, Applied Numerical Mathematics 22 (1996) 165

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.523730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 58e5797f-671b-409e-84dc-c80bdb14ff0a · outbound

This paper cites Prasad and C.

Mass Hierarchy of Z(2) Monopoles Prasad and C

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.512471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 02d90642-c2ed-4243-b91d-be2800551c59 · outbound

This paper cites Deglmann and M.A.

Mass Hierarchy of Z(2) Monopoles Deglmann and M.A

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.501641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3de572bc-ecd5-4cc2-884f-7298b1e90cf0 · outbound

This paper cites Strassler, Duality, phases, spinors and monopoles in so(n) and spin(n) gauge theories, Journal of High Energy Physics 1998 (1998) 017.

Mass Hierarchy of Z(2) Monopoles Strassler, Duality, phases, spinors and monopoles in so(n) and spin(n) gauge theories, Journal of High Energy Physics 1998 (1998) 017

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.491025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a0f549fe-5efc-4668-9d97-5117328c73e6 · outbound

This paper cites Koide, New view of quark and lepton mass hierarchy, Phys.

Mass Hierarchy of Z(2) Monopoles Koide, New view of quark and lepton mass hierarchy, Phys

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:47:44.479381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.