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Paper Citation Record · LEDGER

Classification of Minimal Abelian Coulomb Branches

As of 19 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 3 inbound Pith citation observations for arXiv:2412.19766.

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

pith.paper-citation-record.v1
2412.19766 v1

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:06:17.878508Z

measured 44 of 44 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:17:48.794905Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:32:22.601246Z

Reference resolution

41 of 41 outbound references displayed

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  • verified fuzzy3
  • unresolved34
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External citation measurements

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Outbound references

Observation fafa007d-65f0-4eda-af0c-8d6e59df1076 · outbound

This paper cites Symplectic singularities from the Poisson point of view.

Classification of Minimal Abelian Coulomb Branches Symplectic singularities from the Poisson point of view

Reference 1

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source=pdf_text observed=2026-08-11T00:06:17.696147Z digest=sha256:8a0d4bb9b341e0de9408ac554e4b1e88149b849397b2194facbb72ec98a11861

Observation a7daf34d-1cb4-4bdb-bf77-b881dd0555ce · outbound

This paper cites Kraft and C.

Classification of Minimal Abelian Coulomb Branches Kraft and C

Reference 2

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source=pdf_text observed=2026-08-11T00:06:17.700973Z digest=sha256:3b755fe1552ba65c123c1819e89af521fde72ecc7fdd2ef89763c9023c82d29f

Observation 14743fb0-6d80-4bb4-aec3-80306a0257a9 · outbound

This paper cites Kraft and C.

Classification of Minimal Abelian Coulomb Branches Kraft and C

Reference 3

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source=pdf_text observed=2026-08-11T00:06:17.706125Z digest=sha256:5071b3dbd7ce2a17299cafab323369d800bece76c009e86ff0c098d09e1a06c1

Observation 30af2188-ad9f-4e19-912a-cf7506d96d72 · outbound

This paper cites an unresolved cited work.

Classification of Minimal Abelian Coulomb Branches Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-11T00:06:17.711275Z digest=sha256:f2f4c3deb9dc30291f3a7fff4b4a94b1af557cb99e57c10710f0bb681d5d4911

Observation d5efc3fc-ee3f-4dcb-955c-a670c5567247 · outbound

This paper cites A new family of isolated symplectic singularities with trivial local fundamental group.

Classification of Minimal Abelian Coulomb Branches A new family of isolated symplectic singularities with trivial local fundamental group

Reference 5

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local_arxiv, observed 2026-08-11T00:06:18.626837Z

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source=pdf_text observed=2026-08-11T00:06:17.716509Z digest=sha256:535d1632bc93bb1de8ba979dc8f8d398d18b28627d0cd8167200afb62b8d6a9e

Observation 972db8f6-0cb1-4a91-9e9c-f9d2d2c842a0 · outbound

This paper cites Branes, Quivers, and the Affine Grassmannian.

Classification of Minimal Abelian Coulomb Branches Branes, Quivers, and the Affine Grassmannian

Reference 6

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source=pdf_text observed=2026-08-11T00:06:17.721960Z digest=sha256:e171dbf94778edad33b0c1d3c0f109f1b50f01590f3961220ecc699bcebc0c3d

Observation cf4a59b7-d36f-4dc1-b23e-ce21e87408a7 · outbound

This paper cites Fibrations and Hasse diagrams for 6d SCFTs.

Classification of Minimal Abelian Coulomb Branches Fibrations and Hasse diagrams for 6d SCFTs

Reference 7

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source=pdf_text observed=2026-08-11T00:06:17.727554Z digest=sha256:5a781e0e9061b1688a3d6929e6bffdd9b90da6901754afed9256e4870b37b418

Observation cf1cb54f-8049-404c-99f9-d853699cf4f5 · outbound

This paper cites an unresolved cited work.

Classification of Minimal Abelian Coulomb Branches Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-11T00:06:17.732758Z digest=sha256:869e5f4bdf36d947df785c39593c50b05dbcc299a9f2bb63b17a5da6f9d9e411

Observation 9c76958b-b7d9-4f4a-9cc0-a3e27927102d · outbound

This paper cites Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras , Duke Math.

Classification of Minimal Abelian Coulomb Branches Nakajima, Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras , Duke Math

Reference 9

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source=pdf_text observed=2026-08-11T00:06:17.738285Z digest=sha256:35b32e12aef35ea0fb5b0b789ef665086be77e535d125547fc3b30665a5855bc

Observation bd930a41-5632-4085-affb-884ba5457bd5 · outbound

This paper cites Mirror Symmetry in Three Dimensional Gauge Theories.

Classification of Minimal Abelian Coulomb Branches Mirror Symmetry in Three Dimensional Gauge Theories

Reference 10

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source=pdf_text observed=2026-08-11T00:06:17.742528Z digest=sha256:a2790abc7b68a71249beb66b6ff3ce991af3ac881d24e88cd3dff1015fb2c109

Observation 438995c1-3b26-43b0-8210-5f53c719060e · outbound

This paper cites The Coulomb Branch of 3d $\mathcal{N}=4$ Theories.

Classification of Minimal Abelian Coulomb Branches The Coulomb Branch of 3d $\mathcal{N}=4$ Theories

Reference 11

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source=pdf_text observed=2026-08-11T00:06:17.747288Z digest=sha256:7ad73ad2debbb32c485e1e33b5bae0252b8d8c8914951c237619e895da5a3e69

Observation 04ca1a9b-b6da-4b56-856c-528eda241be0 · outbound

This paper cites Coulomb Branch Quantization and Abelianized Monopole Bubbling.

Classification of Minimal Abelian Coulomb Branches Coulomb Branch Quantization and Abelianized Monopole Bubbling

Reference 12

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source=pdf_text observed=2026-08-11T00:06:17.752240Z digest=sha256:20723d5bab3ba887d1d6bb5fd02d558eecebec0af9df086834bc774d450a1458

Observation ede717ef-52ea-4b00-bfea-b64a885b8a9b · outbound

This paper cites Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories.

Classification of Minimal Abelian Coulomb Branches Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories

Reference 13

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source=pdf_text observed=2026-08-11T00:06:17.757190Z digest=sha256:6eac0908ccf5a233f9cf2bf1f805a3ed424f6d60c03648a2267c5f2de21f628a

Observation cde55bcf-2534-4611-94ed-8cb6d2be13e0 · outbound

This paper cites Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II.

Classification of Minimal Abelian Coulomb Branches Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, II

Reference 14

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source=pdf_text observed=2026-08-11T00:06:17.761798Z digest=sha256:133b2972798c1fca4c625e2cb1899d236b7e03e1db1891cc1b31fa83e1a9c19c

Observation 8db89c3a-a9a3-4189-9a2a-1430b38c8c59 · outbound

This paper cites Instanton Operators and the Higgs Branch at Infinite Coupling.

Classification of Minimal Abelian Coulomb Branches Instanton Operators and the Higgs Branch at Infinite Coupling

Reference 15

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source=pdf_text observed=2026-08-11T00:06:17.766235Z digest=sha256:2f77c8ccc08896ce0994e8e39ecee1deb66c9ad35c8bde98e7968b4bf88ce77c

Observation 9831c1fa-622c-4631-afb9-574c7e017419 · outbound

This paper cites 3d Coulomb branch and 5d Higgs branch at infinite coupling.

Classification of Minimal Abelian Coulomb Branches 3d Coulomb branch and 5d Higgs branch at infinite coupling

Reference 16

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source=pdf_text observed=2026-08-11T00:06:17.770634Z digest=sha256:ccc2a8906aa25686e5bdf43c5cc65fb4c6da416b6dee09f05610f7c9c5f68a3b

Observation 1e25f224-fe5a-4c78-9c9f-ecc07782a412 · outbound

This paper cites Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling.

Classification of Minimal Abelian Coulomb Branches Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling

Reference 17

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source=pdf_text observed=2026-08-11T00:06:17.775600Z digest=sha256:1f1eb8aca6b5b77d27888e7fc59361947540903b8976ecb4de0a30308964d4c0

Observation eb9e7a18-362e-42b7-809b-c7241296b8eb · outbound

This paper cites Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories.

Classification of Minimal Abelian Coulomb Branches Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories

Reference 18

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source=pdf_text observed=2026-08-11T00:06:17.780356Z digest=sha256:482cfcf37a8dab4f1b055e5e21e585d8479e50248512f061058dac739b634313

Observation aca856e4-98d1-4aa7-82a0-7ac55d7673a5 · outbound

This paper cites Brane Webs and Magnetic Quivers for SQCD.

Classification of Minimal Abelian Coulomb Branches Brane Webs and Magnetic Quivers for SQCD

Reference 19

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source=pdf_text observed=2026-08-11T00:06:17.785068Z digest=sha256:3463fbf7cfb876c09d298ae668a6091f2750bfb5230ff73f42899df5367dd358

Observation 91dd6516-1e25-4312-ada8-73ac613f16d1 · outbound

This paper cites Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups.

Classification of Minimal Abelian Coulomb Branches Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups

Reference 20

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source=pdf_text observed=2026-08-11T00:06:17.789276Z digest=sha256:4850162e0aa418236d36e16c1ec4a4bce130fbe0a1dfcec6bcd8aa8d3e8c082a

Observation b18047db-c085-4429-8504-5d560050fea0 · outbound

This paper cites Coulomb Branch and The Moduli Space of Instantons.

Classification of Minimal Abelian Coulomb Branches Coulomb Branch and The Moduli Space of Instantons

Reference 21

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source=pdf_text observed=2026-08-11T00:06:17.793754Z digest=sha256:63df83dc41b865525939bf249135191d89bcbbea304265e868fa7fb14a0b022f

Observation fbb5befa-ff41-4a9c-a3fd-d268feaa4ee9 · outbound

This paper cites The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities.

Classification of Minimal Abelian Coulomb Branches The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities

Reference 22

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source=pdf_text observed=2026-08-11T00:06:17.797733Z digest=sha256:9f5db58a2b330a8ac93cac7edf41ba93a859a82dd5cf33b7f58d6cd58cf59d80

Observation dd23dac7-a424-4e0b-bfb5-dd587234b1eb · outbound

This paper cites S-fold magnetic quivers.

Classification of Minimal Abelian Coulomb Branches S-fold magnetic quivers

Reference 23

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source=pdf_text observed=2026-08-11T00:06:17.802150Z digest=sha256:bb2bf70ce8a348ad9f390399de3f451e8b475fe7851c1ee0e66a3cde4629dcea

Observation b1e3c3a6-2f83-421c-9cbd-f199061fba7c · outbound

This paper cites The Hasse Diagram of the Moduli Space of Instantons.

Classification of Minimal Abelian Coulomb Branches The Hasse Diagram of the Moduli Space of Instantons

Reference 24

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local_arxiv, observed 2026-08-11T00:06:18.360696Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T00:06:17.806072Z digest=sha256:b765fd7c903102382968ce3ef062a824b6a3d397fce5d8c8b88d8bfdbaaade31

Observation 44beb039-9db4-40f8-b38a-16aebaf0bdbf · outbound

This paper cites Decay and Fission of Magnetic Quivers.

Classification of Minimal Abelian Coulomb Branches Decay and Fission of Magnetic Quivers

Reference 25

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source=pdf_text observed=2026-08-11T00:06:17.810410Z digest=sha256:4079d6d45f3bc42a072301ee3e04ffce778bbaeed9167a9b0e97f461989b89f5

Observation f8dc5275-1376-4e25-bf84-af844c549c59 · outbound

This paper cites Higgs branch RG-flows via Decay and Fission.

Classification of Minimal Abelian Coulomb Branches Higgs branch RG-flows via Decay and Fission

Reference 26

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source=pdf_text observed=2026-08-11T00:06:17.814648Z digest=sha256:b89cadde5d01f4b97a913c449b0f06f8483df31b3859180c4dc15dd6e0685482

Observation 996d96d6-28d8-41cd-9501-0295468ff172 · outbound

This paper cites Generalised-Edged Quivers and Global Forms.

Classification of Minimal Abelian Coulomb Branches Generalised-Edged Quivers and Global Forms

Reference 27

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local_arxiv, observed 2026-08-11T00:06:18.310557Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T00:06:17.818813Z digest=sha256:c92ecdf836a618af89a27933a8e83797457c95f66630dae8605bcb4f4b7b5a08

Observation 44d15bf3-6db8-424d-b3f1-fbda2e72ec08 · outbound

This paper cites Symplectic singularities.

Classification of Minimal Abelian Coulomb Branches Symplectic singularities

Reference 28

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source=pdf_text observed=2026-08-11T00:06:17.823293Z digest=sha256:1cd4f2e5b282b002bb136f5159f91a83e414614c62d0ad63ca2d36239ca3122b

Observation bc914f6f-05d7-4d3d-bb88-2408ca6c7a93 · outbound

This paper cites Orientifold planes, affine algebras and magnetic monopoles.

Classification of Minimal Abelian Coulomb Branches Orientifold planes, affine algebras and magnetic monopoles

Reference 29

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local_arxiv, observed 2026-08-11T00:06:18.273350Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-11T00:06:17.827517Z digest=sha256:9adce7d7262489c6f5b597bd39ede914fc02de66b13ea83592147e3b7d3505ea

Observation 0d631192-dff6-4f8d-93f9-369515af0cb6 · outbound

This paper cites S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory.

Classification of Minimal Abelian Coulomb Branches S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory

Reference 30

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source=pdf_text observed=2026-08-11T00:06:17.832185Z digest=sha256:0d4e558092c1ebf2b0b8a1d1d358004398096a7e580c339312c47644f1effe78

Observation 71f85237-4943-444e-b7ad-290863fdf5e9 · outbound

This paper cites Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces.

Classification of Minimal Abelian Coulomb Branches Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces

Reference 31

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source=pdf_text observed=2026-08-11T00:06:17.836545Z digest=sha256:17ec9a3ee0ac0d936abb9d955b62832df185c2d0d01e63341a7ce43cc3490687

Observation 1f0831f5-01b7-41a7-be2d-471589fbd6a4 · outbound

This paper cites On Mirror Symmetry in Three Dimensional Abelian Gauge Theories.

Classification of Minimal Abelian Coulomb Branches On Mirror Symmetry in Three Dimensional Abelian Gauge Theories

Reference 32

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source=pdf_text observed=2026-08-11T00:06:17.840936Z digest=sha256:807dc11d2a55407868b0893a40b76c7e329cca8934319b714ccc14cbeeb56b60

Observation a727f1ef-d3db-45f5-8604-227f4ca55011 · outbound

This paper cites Dynamics of N=2 Supersymmetric Chern-Simons Theories.

Classification of Minimal Abelian Coulomb Branches Dynamics of N=2 Supersymmetric Chern-Simons Theories

Reference 33

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source=pdf_text observed=2026-08-11T00:06:17.845174Z digest=sha256:9b7180e5d50fd1664f0b0b98d77310c20f401de49ae22fcb8f27e1a971325553

Observation 7a899c98-bbb6-4c9a-8713-c426827e5e8b · outbound

This paper cites 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry.

Classification of Minimal Abelian Coulomb Branches 3d $\mathcal{N}=4$ mirror symmetry with 1-form symmetry

Reference 34

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source=pdf_text observed=2026-08-11T00:06:17.849346Z digest=sha256:15a9b349f745b604077278f3ea3af6ea42820621051816e5f8794a62fc3bd2fc

Observation fac51a36-29c5-4f16-a329-6368dc3fc850 · outbound

This paper cites Generalized Symmetries and Anomalies of 3d N=4 SCFTs.

Classification of Minimal Abelian Coulomb Branches Generalized Symmetries and Anomalies of 3d N=4 SCFTs

Reference 35

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source=pdf_text observed=2026-08-11T00:06:17.853270Z digest=sha256:f788b445a6262c04cc97ea0186bd298a1e5d8ce2fcbfb1ffb59d8f65ab77069c

Observation d2eafdbe-fccc-4aca-a7cd-c9137eae6000 · outbound

This paper cites Generalized Global Symmetries.

Classification of Minimal Abelian Coulomb Branches Generalized Global Symmetries

Reference 36

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source=pdf_text observed=2026-08-11T00:06:17.856995Z digest=sha256:aa6a2aa1ae3c89dcd53524908c3af3cf860d6bcfcc7875614006dc70146315d6

Observation 93bd69d9-369f-4d99-bd4d-cf298ad3c1c8 · outbound

This paper cites Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d.

Classification of Minimal Abelian Coulomb Branches Comments on One-Form Global Symmetries and Their Gauging in 3d and 4d

Reference 37

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source=pdf_text observed=2026-08-11T00:06:17.860704Z digest=sha256:eceb5a57b8901cf012699140b51d633f0ae788190125330282cd917d3db38b3f

Observation 6ed6dd68-9f4e-40b1-9f9a-3e6c37178eaa · outbound

This paper cites Zero-form and one-form symmetries of the ABJ and related theories.

Classification of Minimal Abelian Coulomb Branches Zero-form and one-form symmetries of the ABJ and related theories

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-11T00:06:17.865156Z

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source=pdf_text observed=2026-08-11T00:06:17.865156Z digest=sha256:0545c7bc367ae520aba06ed35d5e364776467cada6d7ec4bf7fcc0bca6e0526f

Observation 00628b9c-f939-4774-b332-e73e08fa9710 · outbound

This paper cites Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices.

Classification of Minimal Abelian Coulomb Branches Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T00:06:17.869937Z

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source=pdf_text observed=2026-08-11T00:06:17.869937Z digest=sha256:0b154113ebf1e2bab0aff20378d565bc187a05880ed4d7ade21c8fbe177d986f

Observation 316d8fe3-a0c4-43fc-8403-81475c27d7c8 · outbound

This paper cites Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, I.

Classification of Minimal Abelian Coulomb Branches Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal N=4$ gauge theories, I

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-11T00:06:17.874406Z

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source=pdf_text observed=2026-08-11T00:06:17.874406Z digest=sha256:8cb21b5aa98482a732aaf79aa1e9fce467c7314adc6643e57b66d4489670d5a8

Observation ead3e6d2-f14e-4803-a30f-eb0712ec039c · outbound

This paper cites Namikawa, A remark on isolated symplectic singularities with trivial local fundamental group , 2309.13877.

Classification of Minimal Abelian Coulomb Branches Namikawa, A remark on isolated symplectic singularities with trivial local fundamental group , 2309.13877

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T00:06:17.878508Z

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source=pdf_text observed=2026-08-11T00:06:17.878508Z digest=sha256:a087f3094ca3d88df28609c0921cfd40a34d046e31c9e5a65a2e259fc507966a

Pith citing papers

Observation 88da78ed-9a4e-4c78-8082-b7650d9e183d · inbound

A new addition to the zoo of isolated symplectic singularities cites this paper.

A new addition to the zoo of isolated symplectic singularities Classification of Minimal Abelian Coulomb Branches

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:32:22.702295Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T12:32:20.835580Z digest=sha256:8809acfb1de1cbd8c990c4d216aef29585097807f0768cd0d5b184cbeac85bb3

Observation b9e707a2-bc8f-47ef-b59d-3bf5db86ed5c · inbound

Bootstrapping mirror pairs: The beginning of the end cites this paper.

Bootstrapping mirror pairs: The beginning of the end Classification of Minimal Abelian Coulomb Branches

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-04T09:37:43.304992Z

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source=pdf_text observed=2026-08-04T09:37:43.304992Z digest=sha256:fdd15a7bd4c5a8dad85c2059406458ccebec8357641f10d3d15954ad93eaa0b4

Observation 974a16ac-f2f3-4b2d-8e59-d5ac9569793f · inbound

Spin(N) Magnetic Quivers cites this paper.

Spin(N) Magnetic Quivers Classification of Minimal Abelian Coulomb Branches

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-15T14:17:48.794905Z

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source=pdf_text observed=2026-08-15T14:17:48.794905Z digest=sha256:e8a9dfeaddb6b3a31a42ae2d01539432b359712b9a7322d8123f531861d005e4