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Paper Citation Record · LEDGER

Anomaly cancellation for two $U(1)$ factors

As of 10 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2607.09879.

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

pith.paper-citation-record.v1
2607.09879 v1

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measured 44 of 44 reference resolution

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Outbound references

Observation 6ba0fc46-535a-494e-99fa-5fb1b5d037b1 · outbound

This paper cites Geometric General Solution to the $U(1)$ Anomaly Equations.

Anomaly cancellation for two $U(1)$ factors Geometric General Solution to the $U(1)$ Anomaly Equations

Reference 1

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Observation fae980d9-27f6-486a-a832-935edd6c41b1 · outbound

This paper cites Varieties of four-dimensional gauge theories.

Anomaly cancellation for two $U(1)$ factors Varieties of four-dimensional gauge theories

Reference 2

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Observation 4b9bd64f-3cbe-4608-a594-376876b98182 · outbound

This paper cites More varieties of 4-d gauge theories: product representations.

Anomaly cancellation for two $U(1)$ factors More varieties of 4-d gauge theories: product representations

Reference 3

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Observation 0dc62f6e-c07d-4d21-8ad2-1d538e82bc34 · outbound

This paper cites Anomaly cancellation for a $U(1)$ factor.

Anomaly cancellation for two $U(1)$ factors Anomaly cancellation for a $U(1)$ factor

Reference 4

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Observation 2c4e3ff3-b1fc-4150-838c-81f797b97ce1 · outbound

This paper cites General solution to the U(1) anomaly equations.

Anomaly cancellation for two $U(1)$ factors General solution to the U(1) anomaly equations

Reference 5

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Observation aef30f2d-ff41-4cb7-aea6-866e5a107d57 · outbound

This paper cites Chiral Abelian gauge theories with few fermions.

Anomaly cancellation for two $U(1)$ factors Chiral Abelian gauge theories with few fermions

Reference 6

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Observation ba2fab37-6041-49f9-ab21-9357274ce311 · outbound

This paper cites Two-dimensional gauge anomalies and $p$-adic numbers.

Anomaly cancellation for two $U(1)$ factors Two-dimensional gauge anomalies and $p$-adic numbers

Reference 7

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Observation 8352b3d6-65a6-40eb-89c3-aee213ce6dd1 · outbound

This paper cites Segre,Sulle variet` a cubica con dieci punti doppi dello spazio a quattro dimensioni,Atti.

Anomaly cancellation for two $U(1)$ factors Segre,Sulle variet` a cubica con dieci punti doppi dello spazio a quattro dimensioni,Atti

Reference 8

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Observation d282e3da-3737-415b-8580-db2533cda428 · outbound

This paper cites Castelnuovo,Ricerche di geometria della rette nello spazio a quattro dimensioni,Atti.

Anomaly cancellation for two $U(1)$ factors Castelnuovo,Ricerche di geometria della rette nello spazio a quattro dimensioni,Atti

Reference 9

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Observation 8982bbc5-4ea3-4b0e-81bd-4f10225d7438 · outbound

This paper cites Richmond,Concerning the locus P(t3 r) = 0;P(tr) = 0;(r= 1,2,3,4,5,6),Quart.

Anomaly cancellation for two $U(1)$ factors Richmond,Concerning the locus P(t3 r) = 0;P(tr) = 0;(r= 1,2,3,4,5,6),Quart

Reference 10

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Observation 4a1e6846-4528-4f76-8d22-a34460566f03 · outbound

This paper cites Manin,Cubic Forms, North-Holland Mathematical Library ; 4, Elsevier Science Publishers (1986).

Anomaly cancellation for two $U(1)$ factors Manin,Cubic Forms, North-Holland Mathematical Library ; 4, Elsevier Science Publishers (1986)

Reference 11

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Observation 78412f46-5f26-4578-9f50-0917431853ae · outbound

This paper cites Dolgachev,Classical Algebraic Geometry: A Modern View, Cambridge University Press (2012).

Anomaly cancellation for two $U(1)$ factors Dolgachev,Classical Algebraic Geometry: A Modern View, Cambridge University Press (2012)

Reference 12

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Observation e7d932bf-5f24-4dbc-9890-ea2024029129 · outbound

This paper cites Corrado Segre and nodal cubic threefolds.

Anomaly cancellation for two $U(1)$ factors Corrado Segre and nodal cubic threefolds

Reference 13

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Observation 5ba655de-cd12-4f83-b7fc-d9e079bc95f7 · outbound

This paper cites Gromov elliptic resolutions of quartic double solids.

Anomaly cancellation for two $U(1)$ factors Gromov elliptic resolutions of quartic double solids

Reference 14

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Observation 25cd454f-90a7-4a40-b634-c8b6840e1e42 · outbound

This paper cites On the degree of a modular map.

Anomaly cancellation for two $U(1)$ factors On the degree of a modular map

Reference 15

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Observation 3fb73544-c75a-471a-87a2-a46e6266e662 · outbound

This paper cites Skorobogatov,Torsors and Rational Points, Cambridge University Press (2001).

Anomaly cancellation for two $U(1)$ factors Skorobogatov,Torsors and Rational Points, Cambridge University Press (2001)

Reference 16

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Observation a45deea4-b068-4c74-ae25-d0939c73b366 · outbound

This paper cites Poonen,Rational Points on Varieties, Graduate Studies in Mathematics ; 186, American Mathematical Society (2017).

Anomaly cancellation for two $U(1)$ factors Poonen,Rational Points on Varieties, Graduate Studies in Mathematics ; 186, American Mathematical Society (2017)

Reference 17

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Observation e348414f-6628-4624-aab7-4368fc22dbe5 · outbound

This paper cites Boitrel,Del Pezzo surfaces of degree 5 over perfect fields,IMRN8(2025) 1.

Anomaly cancellation for two $U(1)$ factors Boitrel,Del Pezzo surfaces of degree 5 over perfect fields,IMRN8(2025) 1

Reference 18

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Observation 9cc291b2-fac5-4c1d-b1c3-ebd4a63626ac · outbound

This paper cites The asymptotically-free gauge theories.

Anomaly cancellation for two $U(1)$ factors The asymptotically-free gauge theories

Reference 19

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Observation 6b945467-ac37-43b3-a241-d16aac924743 · outbound

This paper cites Unirationality of cubic hypersurfaces.

Anomaly cancellation for two $U(1)$ factors Unirationality of cubic hypersurfaces

Reference 20

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Observation 41f15fc4-759e-4b46-9da0-ce72a2c22c30 · outbound

This paper cites Eisenbud and J.

Anomaly cancellation for two $U(1)$ factors Eisenbud and J

Reference 21

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Observation 2943a416-a7e1-4cf6-a3e5-f31c86c1b044 · outbound

This paper cites Rational curves on hypersurfaces.

Anomaly cancellation for two $U(1)$ factors Rational curves on hypersurfaces

Reference 22

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Observation 7d872504-8aa6-421c-a17f-3a92f01980ee · outbound

This paper cites Witten,An SU(2) anomaly,Phys.

Anomaly cancellation for two $U(1)$ factors Witten,An SU(2) anomaly,Phys

Reference 23

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Observation d84a6c16-82e3-442e-975b-4cf222620441 · outbound

This paper cites A New SU(2) Anomaly.

Anomaly cancellation for two $U(1)$ factors A New SU(2) Anomaly

Reference 24

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Observation 1272a807-fa7b-403e-9ccf-e83ae24d959d · outbound

This paper cites Segre,Le rette delle superficie cubiche nei corpi commutativi,Boll.

Anomaly cancellation for two $U(1)$ factors Segre,Le rette delle superficie cubiche nei corpi commutativi,Boll

Reference 25

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Observation bd995a3b-4db5-4bf9-9ef9-4da38be5032f · outbound

This paper cites Bruce and C.T.C.

Anomaly cancellation for two $U(1)$ factors Bruce and C.T.C

Reference 26

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Observation 7a77b734-1965-44b1-902c-387c5f3190be · outbound

This paper cites Sakamaki,Automorphism groups on normal singular cubic surfaces with no parameters, Trans.

Anomaly cancellation for two $U(1)$ factors Sakamaki,Automorphism groups on normal singular cubic surfaces with no parameters, Trans

Reference 27

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Observation f793b1c2-c141-432c-be04-737a6ae33f18 · outbound

This paper cites Counting lines on surfaces.

Anomaly cancellation for two $U(1)$ factors Counting lines on surfaces

Reference 28

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Observation 90810a2e-a91e-4030-bcae-9082d790c13b · outbound

This paper cites Generalized permutohedra, scattering amplitudes and a cubic three-fold.

Anomaly cancellation for two $U(1)$ factors Generalized permutohedra, scattering amplitudes and a cubic three-fold

Reference 29

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Observation 87aa0acb-d7f4-463a-83df-bcb0be53c4e5 · outbound

This paper cites Tevelev,Scattering amplitudes of stable curves,Geom.

Anomaly cancellation for two $U(1)$ factors Tevelev,Scattering amplitudes of stable curves,Geom

Reference 30

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Observation 808fc938-49da-4846-baff-a15e6d269c13 · outbound

This paper cites Positive geometries from cubic surfaces.

Anomaly cancellation for two $U(1)$ factors Positive geometries from cubic surfaces

Reference 31

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Observation 01d1ba7d-008b-4aac-b942-04ccf72c5ddb · outbound

This paper cites Anomaly cancellation for threeU(1) factors.

Anomaly cancellation for two $U(1)$ factors Anomaly cancellation for threeU(1) factors

Reference 32

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Observation aa1a5951-923a-4683-aa35-183fba0e4af0 · outbound

This paper cites de la Bret` eche,Nombre de points de hauteur born´ ee sur les surfaces de del Pezzo de degr´ e 5,Duke Math.

Anomaly cancellation for two $U(1)$ factors de la Bret` eche,Nombre de points de hauteur born´ ee sur les surfaces de del Pezzo de degr´ e 5,Duke Math

Reference 33

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Observation 155724e5-bc6e-418a-9e53-9e2743b082fb · outbound

This paper cites Browning,Revisiting the Manin–Peyre conjecture for the split del pezzo surface of degree 5,New York J.

Anomaly cancellation for two $U(1)$ factors Browning,Revisiting the Manin–Peyre conjecture for the split del pezzo surface of degree 5,New York J

Reference 34

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Observation d6bd1308-622f-42ce-82a9-d1f1372604a0 · outbound

This paper cites Franke, Y.

Anomaly cancellation for two $U(1)$ factors Franke, Y

Reference 35

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Observation 31437c67-bc26-4e12-a1e4-13dde11e6679 · outbound

This paper cites Peyre,Hauteurs et mesures de Tamagawa sur les vari´ et´ es de Fano,Duke Math.

Anomaly cancellation for two $U(1)$ factors Peyre,Hauteurs et mesures de Tamagawa sur les vari´ et´ es de Fano,Duke Math

Reference 36

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Observation d10c0e02-0fda-49ca-9b6c-13313bea95b4 · outbound

This paper cites Anomaly cancellation with an extra gauge boson.

Anomaly cancellation for two $U(1)$ factors Anomaly cancellation with an extra gauge boson

Reference 37

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Observation e02e88fd-4680-45c8-ba23-cb95a1b6a854 · outbound

This paper cites Altman and S.L.

Anomaly cancellation for two $U(1)$ factors Altman and S.L

Reference 38

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:af402a5478c32aa0bc948a5f9641eae5de303360b07ecf469c8f7ee2c7248dff

Observation e9214ea6-e304-4373-b71d-da03b9fae922 · outbound

This paper cites Vojta,Diophantine Approximations and Value Distribution Theory, Lecture Notes in Mathematics ; 1239, Springer (1987).

Anomaly cancellation for two $U(1)$ factors Vojta,Diophantine Approximations and Value Distribution Theory, Lecture Notes in Mathematics ; 1239, Springer (1987)

Reference 39

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:975169e36d45031407ac2c2c253b22d4838b1f59039f1caa56f36e61ef0dc38c

Observation 0c391f51-74f6-404f-8ffb-977507ce6c98 · outbound

This paper cites Beauville and R.

Anomaly cancellation for two $U(1)$ factors Beauville and R

Reference 40

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:142f21420199ee7d274ff5a32437e0c67ef62f8797b9ee840c2e7d936f362358

Observation 300bdc66-ae44-44a3-9dca-9dc7922d041a · outbound

This paper cites Nodal quintic surfaces and lines on cubic fourfolds.

Anomaly cancellation for two $U(1)$ factors Nodal quintic surfaces and lines on cubic fourfolds

Reference 41

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:f857c4956a2eaa01710dd2664c8591773c98531323fd37e5b9012ca61de0d7f0

Observation 648dfcc8-7374-472d-9ab6-57f885c61b96 · outbound

This paper cites The Fano variety of lines and rationality problem for a cubic hypersurface.

Anomaly cancellation for two $U(1)$ factors The Fano variety of lines and rationality problem for a cubic hypersurface

Reference 42

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:87d1f545e8bbd5be2ac48d1cdfa3f247a799559828bd09230080b512c257b188

Observation 5080636e-ccd7-4e54-89fd-bb8b743bad32 · outbound

This paper cites Planes in cubic fourfolds.

Anomaly cancellation for two $U(1)$ factors Planes in cubic fourfolds

Reference 43

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:544341030b72020d6907dc4e8515ea8c27f555dc3960cd0b4b26bbc376150151

Observation 167ebed8-cb51-45dd-8558-df2fb5bfa6aa · outbound

This paper cites The affine stratification number and the moduli space of curves.

Anomaly cancellation for two $U(1)$ factors The affine stratification number and the moduli space of curves

Reference 44

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source=pdf_text observed=2026-07-14T14:52:49.366249Z digest=sha256:6f21404920ac79e064b032b5c56ea85b6f11b32b8c57e03410961a7f8f7fc15a

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