Pith. sign in

Paper Citation Record · LEDGER

Loop torsors. Theory and applications

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.

pith.paper-citation-record.v1
2412.07294 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:11:40.702965Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:26:59.714572Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:27:02.353606Z

Reference resolution

65 of 65 outbound references displayed

  • verified exact1
  • verified fuzzy61
  • unresolved2
  • parse uncertain1
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 877adb97-b107-41ff-be2a-346684adda8e · outbound

This paper cites Borel, Linear Algebraic Groups (Second enlarged edition), Graduate text in Mathematics 126 (1991), Springer.

Loop torsors. Theory and applications Borel, Linear Algebraic Groups (Second enlarged edition), Graduate text in Mathematics 126 (1991), Springer

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.828081Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.345612Z digest=sha256:599cc1371bf9645b234724b5e0292f20b1202b9311b89e45854812079dbe2e03

Observation 5d96be21-97c8-4173-ba79-f7c2640f0c48 · outbound

This paper cites Borel and G.D Mostow, On semi-simple automorphisms of Lie algebras , Ann.

Loop torsors. Theory and applications Borel and G.D Mostow, On semi-simple automorphisms of Lie algebras , Ann

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.807915Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.355079Z digest=sha256:7d5b253a2be82829ff15fe88a613729a669941032cd0ffd922f1b16bc025e5f8

Observation 8787ff05-d19e-414d-8af0-566ab4a3a5a6 · outbound

This paper cites Borel and J.

Loop torsors. Theory and applications Borel and J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.786938Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.364236Z digest=sha256:461e8ef329b72b6c2b52752e34ff6064deec0b39f2d52b77be99527d224b8833

Observation 01b45cf3-7dcc-4b08-8c58-7cdf6d842c35 · outbound

This paper cites Borel and J.

Loop torsors. Theory and applications Borel and J

Reference 4

Resolution
parse uncertain
raw_fallback, observed 2026-08-11T19:11:41.773131Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.370065Z digest=sha256:fdac349852d2927110eb6b86d08f2d9c3c63768301f92f4e5ac719a945d59147

Observation 90279316-d99e-4550-ae0a-c066b8b98004 · outbound

This paper cites Bourbaki, Groupes et alg\`ebres de Lie , Ch.

Loop torsors. Theory and applications Bourbaki, Groupes et alg\`ebres de Lie , Ch

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.759616Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.375732Z digest=sha256:02f19201fbf8f5aaf8d9f540f7110a40814b3792934c053a16fe2593d621b224

Observation 37503e4d-b8a7-4520-903c-27589ab70cc5 · outbound

This paper cites Bosch, W.

Loop torsors. Theory and applications Bosch, W

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.747222Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.380098Z digest=sha256:59b355bb56de53a588e502bc3097ea9ceb09a56e66f587f61b5f30e50ee8f720

Observation 1cf7bd8b-5f83-48dc-b100-4b46733648f2 · outbound

This paper cites Bruhat and J.

Loop torsors. Theory and applications Bruhat and J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.733458Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.385248Z digest=sha256:5b970e60bb397a22328185b958dc9d91e8f512e6fe73f9aab0700dddcf2801e3

Observation f80fb674-7cec-4a22-8b11-2ca800c9795e · outbound

This paper cites Chernousov, P.

Loop torsors. Theory and applications Chernousov, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.716665Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.390606Z digest=sha256:244a86e0eba34c896752bf71152cd0274a01c5ddf9b04799e6cd4d3e389be650

Observation a5e44588-0150-4d02-8fb7-fd2560a9b464 · outbound

This paper cites Chernousov, P.

Loop torsors. Theory and applications Chernousov, P

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.701609Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.394936Z digest=sha256:f68161b4dd0f6712ba96ee3cdc116bc45d0dd2bf8cc22f4ca81a38f1f7d477ea

Observation 642de5d0-9aa8-468f-9514-58bef6245957 · outbound

This paper cites Chernousov, P.

Loop torsors. Theory and applications Chernousov, P

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.686777Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.399443Z digest=sha256:8f564b9957a746255321cff33937935e963d8d87edcb73eb6fe9ea811d9db979

Observation 1bd525cd-5548-41a7-9e27-4f70a66a2dd5 · outbound

This paper cites Chernousov, P.

Loop torsors. Theory and applications Chernousov, P

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.673825Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.404487Z digest=sha256:c5e7594d0039ff05604a6195a05ce9c3f76c82121c5ccc5ffcec443073e97ffb

Observation 078b6799-ce8e-4730-84b7-71ffe373c319 · outbound

This paper cites Chernousov, J.-P.

Loop torsors. Theory and applications Chernousov, J.-P

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.659869Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.409582Z digest=sha256:3f13c90dd262bf0f4891c93bac55b33bdf67b902dc09e5ece789618396216802

Observation 50964412-a59b-4b65-8466-c1ab73f84579 · outbound

This paper cites Colliot--Th\'el\`ene,.

Loop torsors. Theory and applications Colliot--Th\'el\`ene,

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.638489Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.414526Z digest=sha256:79c87bb2641ae69e5bddc04170d402a50f8345a8c58ac2f1e3a864e10680b6fe

Observation 172188c6-b867-4951-a2b6-dfb208ce7276 · outbound

This paper cites Colliot--Th\'el\`ene, M.

Loop torsors. Theory and applications Colliot--Th\'el\`ene, M

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.619162Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.418860Z digest=sha256:53ba62e454b168d03a46d2627ca7dd6bf246654e4e231d4d2dac34b5c8c3c44c

Observation 5ef338b9-d2a8-4831-a129-c80b0945b09d · outbound

This paper cites Conrad, O.

Loop torsors. Theory and applications Conrad, O

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.604649Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.422580Z digest=sha256:9b4d481acb70b812b6895aa3a1270f927317b93243cfd0a87810de0bde0766a5

Observation 3898031b-0e5d-49d2-b765-e09a86c95a15 · outbound

This paper cites Conrad, Reductive Group Schemes , in Autour des Sch\'emas en Groupes, Vol.

Loop torsors. Theory and applications Conrad, Reductive Group Schemes , in Autour des Sch\'emas en Groupes, Vol

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.587080Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.427069Z digest=sha256:71e745b825b3b041d890f0a87be79d9437156800e5851afdc03386dcc86330ae

Observation a094a559-0ab1-45eb-a8fb-3beb8d5291f2 · outbound

This paper cites Demazure, Sch\'emas en groupes r\'eductifs , Bull.

Loop torsors. Theory and applications Demazure, Sch\'emas en groupes r\'eductifs , Bull

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.571246Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.430963Z digest=sha256:55e45296a2c3483bb0228acbc92eb29998caa50a2218dce1ec74298ef336be05

Observation 57dbdd36-a934-4692-927b-c1aa4c9513e8 · outbound

This paper cites Demazure and P.

Loop torsors. Theory and applications Demazure and P

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.553772Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.436755Z digest=sha256:d22ca6a62c0224a2fe3799ef3dc334bd608b13943cf6ff9c39546ae0c73e7599

Observation 519cdf6d-6e24-49da-bc49-65e37115d60b · outbound

This paper cites Grothendieck (avec la collaboration de J.

Loop torsors. Theory and applications Grothendieck (avec la collaboration de J

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.537211Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.441100Z digest=sha256:0349f24970de2a685a653ab8462b082925d70cd40a6b95cb4ec59f474cc9959e

Observation c94cf61e-6dfb-401c-8687-9b58f04bd122 · outbound

This paper cites Fu, \'Etale cohomology theory , Nankai Tracts in Mathematics 13 , World Scientific, 2011.

Loop torsors. Theory and applications Fu, \'Etale cohomology theory , Nankai Tracts in Mathematics 13 , World Scientific, 2011

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.521804Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.445694Z digest=sha256:e98f0d6d9a0ac352c1a5e09416e698e0e0d862bd2e162b68f284ca4c1a224760

Observation 5af1c07b-1892-470e-a6c6-28168ddf1c23 · outbound

This paper cites Garibaldi, A.A.

Loop torsors. Theory and applications Garibaldi, A.A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.506104Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.450273Z digest=sha256:9f5b0bcd48e86da3c517e3115e5031cf4f1ced714c18e3b2125f5981c76d6f22

Observation f226826b-2c82-4bd7-bb36-edbfaf1932b2 · outbound

This paper cites Gille, Torseurs sur la droite affine , Transform.

Loop torsors. Theory and applications Gille, Torseurs sur la droite affine , Transform

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.491423Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.454474Z digest=sha256:82f0293b20926d085f8b5d76df793620ec5c1bc8ae95498a63fd03c8ad92c1a3

Observation 2bc09710-dc1b-4c46-8969-cdc26914e527 · outbound

This paper cites Gille, Serre's conjecture II: a survey ,.

Loop torsors. Theory and applications Gille, Serre's conjecture II: a survey ,

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.474164Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.458845Z digest=sha256:bbd7554520dca34564b4e9d4d247b96120342507af814949353ebe63b7fcf50d

Observation d43053dd-d475-4f1f-8643-4b398ded1393 · outbound

This paper cites Gille, Sur la classification des sch\'emas en groupes semi-simples , see author's URL.

Loop torsors. Theory and applications Gille, Sur la classification des sch\'emas en groupes semi-simples , see author's URL

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.458672Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.463385Z digest=sha256:5b1e718089dd85f0942cc66802a0393e4d1efe406ac181eb93c54fba89f5224a

Observation d962dd81-c3ac-4263-856d-f225bfe931f8 · outbound

This paper cites Gille, Loop torsors and Abyankhar's Lemma, Preprint.

Loop torsors. Theory and applications Gille, Loop torsors and Abyankhar's Lemma, Preprint

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.441081Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.468086Z digest=sha256:542649c3f251cb23d0a5193cf825c3cf1a27b2fd09e7d8696bf961fa6497c751

Observation 7e9a5ea3-4995-443d-9a64-60325670a15c · outbound

This paper cites 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.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.424465Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.472669Z digest=sha256:ae2799721224c0200e09a88ce947afc6b05d82cb92cc0fc1e3008bcf101d853b

Observation 22fa1629-8e49-4d93-8b39-4238fe1a9e07 · outbound

This paper cites Local-global principle for over semiglobal fields.

Loop torsors. Theory and applications Local-global principle for over semiglobal fields

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-11T19:11:40.763703Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.477185Z digest=sha256:d44a112b303d17a61c21092a756337785c939ab0376cf324808acd20fed7a255

Observation dfa2b8a6-2aa5-42cf-9c76-5c12989c7d27 · outbound

This paper cites Gille and A.

Loop torsors. Theory and applications Gille and A

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.411976Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.482657Z digest=sha256:1bf5cc595b4b20db8239225f3319d95245a313957682670151df8d6ccbfe2d0c

Observation eba878e2-461b-4949-9317-945c37b5e4eb · outbound

This paper cites Gille and A.

Loop torsors. Theory and applications Gille and A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.398243Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.487349Z digest=sha256:49b311afb4a24af0b316f3421b4ae7eadccc101f112935b4f62763511b1fd1d8

Observation f32cb452-dfb9-469d-baf1-aa0509c6fb7c · outbound

This paper cites Gille and A.

Loop torsors. Theory and applications Gille and A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.371159Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.496605Z digest=sha256:601b8b1d2b9956d2cf6ea5d196e59135c1d40b025774d1623df6c20e46ac1450

Observation 7d2001cf-5bf5-4a4b-ad9a-028a81a6ea53 · outbound

This paper cites Gille and A.

Loop torsors. Theory and applications Gille and A

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.354415Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.503010Z digest=sha256:bcf2668de52277af7aea15984392e43578aee753799b881bfb3810b913506542

Observation bb617545-0873-4a34-b193-cd2b8f03798e · outbound

This paper cites Jacobson Lie algebras Dover, 1962.

Loop torsors. Theory and applications Jacobson Lie algebras Dover, 1962

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.339221Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.509362Z digest=sha256:07f2fd62e28c9563a50d6407684701007f20f2d357aee6cbc52de8754387b030

Observation 5f656075-0c59-4c29-9453-c8f6cb2c85f7 · outbound

This paper cites Giraud, Cohomologie non ab\'elienne , Die Grundlehren der.

Loop torsors. Theory and applications Giraud, Cohomologie non ab\'elienne , Die Grundlehren der

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.323514Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.515291Z digest=sha256:843b54ef84c21d77b86f0a152fc91d2b77b7181c5b68a9b40f5b55da84676853

Observation 5cff5d41-ebe1-4a81-910f-25307d4567da · outbound

This paper cites Grothendieck, Technique de descente et th\'eor\`emes.

Loop torsors. Theory and applications Grothendieck, Technique de descente et th\'eor\`emes

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.307355Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.520751Z digest=sha256:625b8d716a7b40a4b71b0576e585fc40fe0f7c4a3bcb182f5e02e8a8c2840d03

Observation b2367684-efc7-4dd8-8aa0-0c6cafc26b33 · outbound

This paper cites Grothendieck, Le groupe de Brauer.

Loop torsors. Theory and applications Grothendieck, Le groupe de Brauer

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.287798Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.529578Z digest=sha256:abcf1955fab8a6ad3e9b23aee4f495fe655ce117126fbdc1ca5aa709cb93dc35

Observation 6728a232-3e82-434b-8b7f-6c40be811df2 · outbound

This paper cites Hochschild and D.

Loop torsors. Theory and applications Hochschild and D

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.272026Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.535657Z digest=sha256:fd6b956990192d849fe2db35517fbcd42a9ded1ff8adff827cb50150f1247928

Observation 23f78a44-44f7-4628-b3a3-47af591a9b74 · outbound

This paper cites Kac, Infinite dimensional Lie algebras, third edition, Cambridge University Press, Cambridge, 1990.

Loop torsors. Theory and applications Kac, Infinite dimensional Lie algebras, third edition, Cambridge University Press, Cambridge, 1990

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.256663Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.542455Z digest=sha256:c98d3c80b34d5dd582de5e19bdb2ff2716ff0cafe9a08426b74cbc6153f6b620

Observation abe18b62-0750-41c0-8e70-ddc99e91d837 · outbound

This paper cites Knus, Alg\`ebres d'Azumaya et modules.

Loop torsors. Theory and applications Knus, Alg\`ebres d'Azumaya et modules

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.236474Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.550996Z digest=sha256:c3dae795816cce4ea519520fc10db27a2386810afd5965f98e7573e2e45fd3b7

Observation 798897c5-4663-4d86-8d0f-3c44340d2f11 · outbound

This paper cites an unresolved cited work.

Loop torsors. Theory and applications Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:41.220738Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.556359Z digest=sha256:670885ab88dbdd98f3e48db5540d8ffe7ebe1505d93fdd519ba4bdcaf3de9994

Observation 6a5a9317-b07d-4d17-80e8-4323ea3f0551 · outbound

This paper cites Margaux, Passage to the limit in non-abelian Cech cohomology , Journal of Lie Theory 17 (2007), 591--596.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.208218Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.560946Z digest=sha256:138b3d0f556f9a8d9a84880e711698ee6c6a184748977acaa4cbadc18d89845f

Observation c91138d8-7cad-4fb1-a7b8-476f47ea7747 · outbound

This paper cites Margaux, Vanishing of Hochschild Cohomology for Affine Group Schemes and Rigidity of Homomorphisms between Algebraic Groups , Doc.

Loop torsors. Theory and applications Margaux, Vanishing of Hochschild Cohomology for Affine Group Schemes and Rigidity of Homomorphisms between Algebraic Groups , Doc

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.191025Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.566762Z digest=sha256:2991426f4ade10b0dbecbae6284ed26c65e3c7df8e5e806355f6ac8a62cb4d28

Observation 773270ad-c70e-4903-bc81-e1fed59cffb2 · outbound

This paper cites Milne, Etale cohomology , Princeton University Press (1980).

Loop torsors. Theory and applications Milne, Etale cohomology , Princeton University Press (1980)

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.171851Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.574566Z digest=sha256:ad72c489b647dd845fad06d2d9b2caea4ee4540e7d8bbae7bcb93d9b17c8e71d

Observation 0902d657-c222-418e-9c9f-5e0334759acc · outbound

This paper cites Ojanguren, I.

Loop torsors. Theory and applications Ojanguren, I

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.152390Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.583629Z digest=sha256:3f4542df9d5dcf174fa02d692d38b62f75485f4a2c4540c78238025736b2c9ce

Observation abfa770c-b32a-460d-b66f-888063dadb65 · outbound

This paper cites Pappas and X.

Loop torsors. Theory and applications Pappas and X

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.135667Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.590376Z digest=sha256:7f1a86d2d1427c00a9f9a5937004c45f4d5b1562761b49c8b39e41cf4ed9b1a5

Observation de892103-1189-4b83-baf4-cd49aa79beee · outbound

This paper cites an unresolved cited work.

Loop torsors. Theory and applications Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-11T19:11:41.120400Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.595098Z digest=sha256:b48cfee2edb565b5a78a41e9b61cdb551c7770f215657cdb10e8da3fa2cfbc9d

Observation 31642ba1-3a9e-4796-b0e3-0ea9d784995b · outbound

This paper cites Pianzola, Affine Kac-Moody Lie algebras as torsors over the punctured line , Indagationes Mathematicae N.S.

Loop torsors. Theory and applications Pianzola, Affine Kac-Moody Lie algebras as torsors over the punctured line , Indagationes Mathematicae N.S

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.103995Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.599551Z digest=sha256:9b0bf8ac810d5037927eac1f001f35563f669a5527c79f138f0a037ed6c6cb42

Observation 6edf6e81-a29b-4aba-ba2f-238a110680e0 · outbound

This paper cites Pianzola, Vanishing of H^1 for Dedekind rings and applications to loop algebras , C.

Loop torsors. Theory and applications Pianzola, Vanishing of H^1 for Dedekind rings and applications to loop algebras , C

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.083576Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.606428Z digest=sha256:04db31cc5d585b76ff5bb53990b1ea1f208127edcca2ca9032fa4ac201a26186

Observation c1f1f61d-cac8-4f10-9089-58c66a264349 · outbound

This paper cites Pianzola, On automorphisms of semisimple Lie algebras Algebras, Groups, and Geometries 2 (1985) 95--116.

Loop torsors. Theory and applications Pianzola, On automorphisms of semisimple Lie algebras Algebras, Groups, and Geometries 2 (1985) 95--116

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.066488Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.611114Z digest=sha256:0f4cd5652f51ecd592f0a3704735a47c710aea76c1b2e7736497b53a40389e1f

Observation 25cff799-a075-4a99-bf6d-c5b54d886def · outbound

This paper cites Ramanathan, Deformations of principal.

Loop torsors. Theory and applications Ramanathan, Deformations of principal

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.048292Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.615807Z digest=sha256:ee9fc90eea689735fc8cd7aeea02c063f951a6ae0315c7db3ebc91a5490b3a7c

Observation fc885736-1e37-4d95-858e-60bdde36377c · outbound

This paper cites Reichstein, B.

Loop torsors. Theory and applications Reichstein, B

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.032774Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.622507Z digest=sha256:1a23d2057165a251089e1cba6450c60ef65176ba4791bc4148f06682cc42df7c

Observation c769dc28-4054-499d-a296-5404dfefc0b9 · outbound

This paper cites Saltman, Indecomposable division algebras ,.

Loop torsors. Theory and applications Saltman, Indecomposable division algebras ,

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:41.016200Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.627711Z digest=sha256:10b66634f2d63dd1bc818892a5a826470c05f075c3df61153fd612a2c240307e

Observation fc1ba044-4a72-4e86-b171-41105bd9a121 · outbound

This paper cites Serre, Cohomologie Galoisienne , cinqui\`eme \'edition r\'evis\'ee et compl\'et\'ee, Lecture Notes in Math.

Loop torsors. Theory and applications Serre, Cohomologie Galoisienne , cinqui\`eme \'edition r\'evis\'ee et compl\'et\'ee, Lecture Notes in Math

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.999679Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.632109Z digest=sha256:2e4f84824ec1d50cbf0098a02929f4de8a1e5d8808aa26c70a84139e6bdb8457

Observation 3dac2699-e92a-4c8f-a0cb-8a7158712444 · outbound

This paper cites Springer, Linear algebraic groups , second edition (1998), Birkha\"user.

Loop torsors. Theory and applications Springer, Linear algebraic groups , second edition (1998), Birkha\"user

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.984466Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.638184Z digest=sha256:f4258e3e6fdabb80d113eb84154d36337098c5a33fb680706003ee664b06619a

Observation 88335258-4fde-45d7-8128-f21458baec76 · outbound

This paper cites Grothendieck , Lecture Notes in Math.

Loop torsors. Theory and applications Grothendieck , Lecture Notes in Math

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.968797Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.645660Z digest=sha256:73034ebdc47b1355e0f1ba3732a6d5bf59732fe06f78c444e693e10a48ac6e1f

Observation 9a2c0973-12d2-41e5-bde1-6c7a2bddcca4 · outbound

This paper cites Demazure et A.

Loop torsors. Theory and applications Demazure et A

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.954562Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.650508Z digest=sha256:0778bf3e8c79fdf1e3ead7b50b90de9ea5bac1ca64f6d0c6bf5e1bfea860d206

Observation c86136e5-54f1-495c-b5f9-4217805b9bc2 · outbound

This paper cites Tome 2 , S\'eminaire de G\'eom\'etrie Alg\'ebrique du Bois-Marie 1963--1964, dirig\'e par M.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.940028Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.656197Z digest=sha256:4e029410c4b5a5073561d1df6110f803a503eab93068257f2a205eb8d8510195

Observation cdba046e-88f3-4a23-a949-7dfbe107ff2a · outbound

This paper cites https://stacks.math.columbia.edu.

Loop torsors. Theory and applications https://stacks.math.columbia.edu

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.922332Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.664556Z digest=sha256:984aa3fe6558fa618616afa580dc83065651c6e10afafac7e50ecb04b4f6c43d

Observation 485dc19c-c33b-4e15-9308-43ac490e52f1 · outbound

This paper cites Stavrova, Non-stable K1-functors of multiloop groups, Canad.

Loop torsors. Theory and applications Stavrova, Non-stable K1-functors of multiloop groups, Canad

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.908298Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.670495Z digest=sha256:22425d520ef9197691b779839a69d71ef848c1c8947fc4f4d41b7b1766b02cf1

Observation 0cc31c1e-5e99-4189-a14f-6312d316ac6a · outbound

This paper cites Stavrova, Torsors of isotropic reductive groups over Laurent polynomials, Doc.

Loop torsors. Theory and applications Stavrova, Torsors of isotropic reductive groups over Laurent polynomials, Doc

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.894376Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.674928Z digest=sha256:b93b4d2a201dc4d655426e6c278b2b80dac363a481aed658c65d2ab7a1a0d5fb

Observation fc50814c-db75-4e78-b6e2-904d7962309e · outbound

This paper cites Tits, Classification of algebraic semisimple groups , Algebraic Groups.

Loop torsors. Theory and applications Tits, Classification of algebraic semisimple groups , Algebraic Groups

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.871815Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.679875Z digest=sha256:e17894b8433b7d2ea51cb4870323022bbbac742713ae8d77bcba9da820ef556f

Observation 03f936f8-2e04-4a8e-be0d-eacc85076617 · outbound

This paper cites Tits, Reductive groups over local fields ,.

Loop torsors. Theory and applications Tits, Reductive groups over local fields ,

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.850178Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.684399Z digest=sha256:efaa79a83129979a8711a4e552b13edabe54e4ba3b76fb4199dd00981deaf12c

Observation 8cdb5280-e7d7-45d8-ab2c-e676c6b7c6eb · outbound

This paper cites Vistoli, Grothendieck topologies,.

Loop torsors. Theory and applications Vistoli, Grothendieck topologies,

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.835758Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.689602Z digest=sha256:b311a63d7fd1a3cd1d671b76efbdb2a9eed7f7007dbb7af5c47387615bc900fc

Observation bad0a436-6d8c-4d05-a0b4-6b81bbf81fd9 · outbound

This paper cites Vakil, K.

Loop torsors. Theory and applications Vakil, K

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.821636Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.694513Z digest=sha256:8744819e5b756b2eb1d0aa5b817846564e5f92d994edf41dc279e9130904720e

Observation 422d2dda-16bb-42a2-8853-1acd35cadd20 · outbound

This paper cites Winter, On Groups of Automorphisms of Lie Algebras , Jour.

Loop torsors. Theory and applications Winter, On Groups of Automorphisms of Lie Algebras , Jour

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.805244Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.698695Z digest=sha256:642c7187d7f7765b83cba40f43f47594bfbee4e7ff5aa0795a5851f4be729a6b

Observation 99931416-d1a2-45c5-a1f1-a6791bcfb845 · outbound

This paper cites Zainoulline, On Grothendieck's conjecture on.

Loop torsors. Theory and applications Zainoulline, On Grothendieck's conjecture on

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T19:11:40.782223Z

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.

source=arxiv_source observed=2026-08-11T19:11:40.702965Z digest=sha256:3f2058be9a4e943b796c0f230ff2da9e91700b71df3a372b322f16b8e0ff18ce

Pith citing papers

Observation 999349e6-4ec0-487b-acc1-427c7c78b6e2 · inbound

Root stack valuative criterion for good moduli spaces cites this paper.

Root stack valuative criterion for good moduli spaces Loop torsors. Theory and applications

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-06T18:27:02.417480Z

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.

source=arxiv_source observed=2026-08-06T18:26:59.714572Z digest=sha256:2930fbe8bfb302f9d4245aa7e0d8ec553b651451acb4a63ee4ee5f033cb47bb4