Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:11:40.702965Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2412.07294.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:11:40.702965Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T18:26:59.714572Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T18:27:02.353606Z
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 877adb97-b107-41ff-be2a-346684adda8e · outbound
Loop torsors. Theory and applications Borel, Linear Algebraic Groups (Second enlarged edition), Graduate text in Mathematics 126 (1991), Springer
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5d96be21-97c8-4173-ba79-f7c2640f0c48 · outbound
Loop torsors. Theory and applications Borel and G.D Mostow, On semi-simple automorphisms of Lie algebras , Ann
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8787ff05-d19e-414d-8af0-566ab4a3a5a6 · outbound
Loop torsors. Theory and applications Borel and J
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 01b45cf3-7dcc-4b08-8c58-7cdf6d842c35 · outbound
Loop torsors. Theory and applications Borel and J
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 90279316-d99e-4550-ae0a-c066b8b98004 · outbound
Loop torsors. Theory and applications Bourbaki, Groupes et alg\`ebres de Lie , Ch
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 37503e4d-b8a7-4520-903c-27589ab70cc5 · outbound
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1cf7bd8b-5f83-48dc-b100-4b46733648f2 · outbound
Loop torsors. Theory and applications Bruhat and J
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f80fb674-7cec-4a22-8b11-2ca800c9795e · outbound
Loop torsors. Theory and applications Chernousov, P
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a5e44588-0150-4d02-8fb7-fd2560a9b464 · outbound
Loop torsors. Theory and applications Chernousov, P
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 642de5d0-9aa8-468f-9514-58bef6245957 · outbound
Loop torsors. Theory and applications Chernousov, P
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1bd525cd-5548-41a7-9e27-4f70a66a2dd5 · outbound
Loop torsors. Theory and applications Chernousov, P
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 078b6799-ce8e-4730-84b7-71ffe373c319 · outbound
Loop torsors. Theory and applications Chernousov, J.-P
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 50964412-a59b-4b65-8466-c1ab73f84579 · outbound
Loop torsors. Theory and applications Colliot--Th\'el\`ene,
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 172188c6-b867-4951-a2b6-dfb208ce7276 · outbound
Loop torsors. Theory and applications Colliot--Th\'el\`ene, M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5ef338b9-d2a8-4831-a129-c80b0945b09d · outbound
Loop torsors. Theory and applications Conrad, O
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3898031b-0e5d-49d2-b765-e09a86c95a15 · outbound
Loop torsors. Theory and applications Conrad, Reductive Group Schemes , in Autour des Sch\'emas en Groupes, Vol
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a094a559-0ab1-45eb-a8fb-3beb8d5291f2 · outbound
Loop torsors. Theory and applications Demazure, Sch\'emas en groupes r\'eductifs , Bull
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 57dbdd36-a934-4692-927b-c1aa4c9513e8 · outbound
Loop torsors. Theory and applications Demazure and P
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 519cdf6d-6e24-49da-bc49-65e37115d60b · outbound
Loop torsors. Theory and applications Grothendieck (avec la collaboration de J
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c94cf61e-6dfb-401c-8687-9b58f04bd122 · outbound
Loop torsors. Theory and applications Fu, \'Etale cohomology theory , Nankai Tracts in Mathematics 13 , World Scientific, 2011
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5af1c07b-1892-470e-a6c6-28168ddf1c23 · outbound
Loop torsors. Theory and applications Garibaldi, A.A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f226826b-2c82-4bd7-bb36-edbfaf1932b2 · outbound
Loop torsors. Theory and applications Gille, Torseurs sur la droite affine , Transform
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2bc09710-dc1b-4c46-8969-cdc26914e527 · outbound
Loop torsors. Theory and applications Gille, Serre's conjecture II: a survey ,
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d43053dd-d475-4f1f-8643-4b398ded1393 · outbound
Loop torsors. Theory and applications Gille, Sur la classification des sch\'emas en groupes semi-simples , see author's URL
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d962dd81-c3ac-4263-856d-f225bfe931f8 · outbound
Loop torsors. Theory and applications Gille, Loop torsors and Abyankhar's Lemma, Preprint
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7e9a5ea3-4995-443d-9a64-60325670a15c · outbound
Loop torsors. Theory and applications Gille, Sur la classification des sch\'emas en groupes semi-simples , Autour des sch\'emas en groupes, III, Panoramas et Synth\`eses 47 (2015), 39-110
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 22fa1629-8e49-4d93-8b39-4238fe1a9e07 · outbound
Loop torsors. Theory and applications Local-global principle for over semiglobal fields
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dfa2b8a6-2aa5-42cf-9c76-5c12989c7d27 · outbound
Loop torsors. Theory and applications Gille and A
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation eba878e2-461b-4949-9317-945c37b5e4eb · outbound
Loop torsors. Theory and applications Gille and A
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f32cb452-dfb9-469d-baf1-aa0509c6fb7c · outbound
Loop torsors. Theory and applications Gille and A
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7d2001cf-5bf5-4a4b-ad9a-028a81a6ea53 · outbound
Loop torsors. Theory and applications Gille and A
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bb617545-0873-4a34-b193-cd2b8f03798e · outbound
Loop torsors. Theory and applications Jacobson Lie algebras Dover, 1962
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5f656075-0c59-4c29-9453-c8f6cb2c85f7 · outbound
Loop torsors. Theory and applications Giraud, Cohomologie non ab\'elienne , Die Grundlehren der
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5cff5d41-ebe1-4a81-910f-25307d4567da · outbound
Loop torsors. Theory and applications Grothendieck, Technique de descente et th\'eor\`emes
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation b2367684-efc7-4dd8-8aa0-0c6cafc26b33 · outbound
Loop torsors. Theory and applications Grothendieck, Le groupe de Brauer
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6728a232-3e82-434b-8b7f-6c40be811df2 · outbound
Loop torsors. Theory and applications Hochschild and D
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 23f78a44-44f7-4628-b3a3-47af591a9b74 · outbound
Loop torsors. Theory and applications Kac, Infinite dimensional Lie algebras, third edition, Cambridge University Press, Cambridge, 1990
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abe18b62-0750-41c0-8e70-ddc99e91d837 · outbound
Loop torsors. Theory and applications Knus, Alg\`ebres d'Azumaya et modules
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 798897c5-4663-4d86-8d0f-3c44340d2f11 · outbound
Loop torsors. Theory and applications Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6a5a9317-b07d-4d17-80e8-4323ea3f0551 · outbound
Loop torsors. Theory and applications Margaux, Passage to the limit in non-abelian Cech cohomology , Journal of Lie Theory 17 (2007), 591--596
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c91138d8-7cad-4fb1-a7b8-476f47ea7747 · outbound
Loop torsors. Theory and applications Margaux, Vanishing of Hochschild Cohomology for Affine Group Schemes and Rigidity of Homomorphisms between Algebraic Groups , Doc
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 773270ad-c70e-4903-bc81-e1fed59cffb2 · outbound
Loop torsors. Theory and applications Milne, Etale cohomology , Princeton University Press (1980)
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0902d657-c222-418e-9c9f-5e0334759acc · outbound
Loop torsors. Theory and applications Ojanguren, I
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation abfa770c-b32a-460d-b66f-888063dadb65 · outbound
Loop torsors. Theory and applications Pappas and X
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation de892103-1189-4b83-baf4-cd49aa79beee · outbound
Loop torsors. Theory and applications Unresolved cited work
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 31642ba1-3a9e-4796-b0e3-0ea9d784995b · outbound
Loop torsors. Theory and applications Pianzola, Affine Kac-Moody Lie algebras as torsors over the punctured line , Indagationes Mathematicae N.S
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6edf6e81-a29b-4aba-ba2f-238a110680e0 · outbound
Loop torsors. Theory and applications Pianzola, Vanishing of H^1 for Dedekind rings and applications to loop algebras , C
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c1f1f61d-cac8-4f10-9089-58c66a264349 · outbound
Loop torsors. Theory and applications Pianzola, On automorphisms of semisimple Lie algebras Algebras, Groups, and Geometries 2 (1985) 95--116
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 25cff799-a075-4a99-bf6d-c5b54d886def · outbound
Loop torsors. Theory and applications Ramanathan, Deformations of principal
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fc885736-1e37-4d95-858e-60bdde36377c · outbound
Loop torsors. Theory and applications Reichstein, B
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c769dc28-4054-499d-a296-5404dfefc0b9 · outbound
Loop torsors. Theory and applications Saltman, Indecomposable division algebras ,
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fc1ba044-4a72-4e86-b171-41105bd9a121 · outbound
Loop torsors. Theory and applications Serre, Cohomologie Galoisienne , cinqui\`eme \'edition r\'evis\'ee et compl\'et\'ee, Lecture Notes in Math
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 3dac2699-e92a-4c8f-a0cb-8a7158712444 · outbound
Loop torsors. Theory and applications Springer, Linear algebraic groups , second edition (1998), Birkha\"user
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 88335258-4fde-45d7-8128-f21458baec76 · outbound
Loop torsors. Theory and applications Grothendieck , Lecture Notes in Math
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9a2c0973-12d2-41e5-bde1-6c7a2bddcca4 · outbound
Loop torsors. Theory and applications Demazure et A
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation c86136e5-54f1-495c-b5f9-4217805b9bc2 · outbound
Loop torsors. Theory and applications Tome 2 , S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie 1963--1964, dirig\'e par M
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation cdba046e-88f3-4a23-a949-7dfbe107ff2a · outbound
Loop torsors. Theory and applications https://stacks.math.columbia.edu
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 485dc19c-c33b-4e15-9308-43ac490e52f1 · outbound
Loop torsors. Theory and applications Stavrova, Non-stable K1-functors of multiloop groups, Canad
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0cc31c1e-5e99-4189-a14f-6312d316ac6a · outbound
Loop torsors. Theory and applications Stavrova, Torsors of isotropic reductive groups over Laurent polynomials, Doc
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fc50814c-db75-4e78-b6e2-904d7962309e · outbound
Loop torsors. Theory and applications Tits, Classification of algebraic semisimple groups , Algebraic Groups
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 03f936f8-2e04-4a8e-be0d-eacc85076617 · outbound
Loop torsors. Theory and applications Tits, Reductive groups over local fields ,
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8cdb5280-e7d7-45d8-ab2c-e676c6b7c6eb · outbound
Loop torsors. Theory and applications Vistoli, Grothendieck topologies,
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bad0a436-6d8c-4d05-a0b4-6b81bbf81fd9 · outbound
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 422d2dda-16bb-42a2-8853-1acd35cadd20 · outbound
Loop torsors. Theory and applications Winter, On Groups of Automorphisms of Lie Algebras , Jour
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 99931416-d1a2-45c5-a1f1-a6791bcfb845 · outbound
Loop torsors. Theory and applications Zainoulline, On Grothendieck's conjecture on
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 999349e6-4ec0-487b-acc1-427c7c78b6e2 · inbound
Root stack valuative criterion for good moduli spaces Loop torsors. Theory and applications
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.