Pith. sign in

Paper Citation Record · LEDGER

Constant case of the Grothendieck-Serre conjecture in mixed characteristic

As of 20 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2412.11723.

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

pith.paper-citation-record.v1
2412.11723 v2

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:47:24.423892Z

measured 63 of 63 standing notices

One-hop event checks from named stored sources.

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

63 of 63 outbound references displayed

  • verified exact11
  • verified fuzzy50
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b3dc128-4eee-4568-97c7-3d8563aead16 · outbound

This paper cites Introduction to Grothendieck duality theory, Lect.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Introduction to Grothendieck duality theory, Lect

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.209744Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.181909Z digest=sha256:7ffb6947dd3b187907794acc04bca23a539ea71aa381fdb2167ee095850d1724

Observation 88c19a6b-8015-4ff2-8e52-4508fbd37824 · outbound

This paper cites Comparaison avec la cohomologie classique: cas d'un pr\'esch\'ema lisse, in Th\'eorie des topos et cohomologie \'etale des sch\'emas (SGA 4).

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Comparaison avec la cohomologie classique: cas d'un pr\'esch\'ema lisse, in Th\'eorie des topos et cohomologie \'etale des sch\'emas (SGA 4)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.199156Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.186719Z digest=sha256:0c69b6496701c3a242e9c555b019b7d66824533a7607a5ba3b6f9f4109e2c524

Observation aed70b24-c3ca-40db-aa97-e9e3738664ef · outbound

This paper cites Grothendieck--Serre in the quasi-split unramified case.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Grothendieck--Serre in the quasi-split unramified case

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.188352Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.191228Z digest=sha256:c4988f4c663ce8a4067350677aad51f41f0e1aff6286076475d9af0fe821d9a9

Observation 0c39e977-7de3-4c19-920d-c54a162375e4 · outbound

This paper cites Fibre\' e s quadratiques et composantes connexes r\' e elles.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Fibre\' e s quadratiques et composantes connexes r\' e elles

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.177648Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.195331Z digest=sha256:ff424c8399a8cead592f71de40aa0ad3a6fc29e0a33da26b278fa349642b0417

Observation 4d244539-57ca-4aa1-9e21-82052fc403e8 · outbound

This paper cites Principal Homogeneous Spaces under Flasque Tori: Applications.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Principal Homogeneous Spaces under Flasque Tori: Applications

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.167803Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.199543Z digest=sha256:8816a53142555447567b8d606663c0a93bf3abaea70f1f958f0a61431fa78aa8

Observation 704d6412-3917-4581-9e83-268b0b3eb4a0 · outbound

This paper cites Espaces Principaux Homog\`enes Localement Triviaux.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Espaces Principaux Homog\`enes Localement Triviaux

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.157010Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.203540Z digest=sha256:0cc6a4cbbdbaf38ed56fbc36ff495dd675eba907bf5beaba2d1142b3bd54323c

Observation fe458d1c-005c-455a-8744-e70adaccf870 · outbound

This paper cites Projective modules over central separable algebras, Canad.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Projective modules over central separable algebras, Canad

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.146783Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.208096Z digest=sha256:7e5152a9ae62da7d29119eb3b3a54cb3fabe343f48e8402be674a1dc3df6eb25

Observation da2c91a2-19e0-4e18-8a06-57d3aff217f1 · outbound

This paper cites A proof of Grothendieck--Serre conjecture on principal bundles over a semilocal regular ring containing an infinite field.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A proof of Grothendieck--Serre conjecture on principal bundles over a semilocal regular ring containing an infinite field

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.136517Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.212190Z digest=sha256:a4d8c1ec4acdfb0e310551d1f46a6521071d442329d1d3eaeee5ca7d67aa28b1

Observation 03513df8-189c-4ef9-b8c5-85122e65922a · outbound

This paper cites On the Grothendieck--Serre conjecture on principal bundles in mixed characteristic.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck--Serre conjecture on principal bundles in mixed characteristic

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.125208Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.215872Z digest=sha256:95086ac56e1e1f985e02a9292fe268651be3d51de1dc7bdf2a67320eaf2cac2e

Observation d1af8273-d03c-4ae9-ad05-9454810a111e · outbound

This paper cites On the Grothendieck--Serre Conjecture about principal bundles and its generalizations.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck--Serre Conjecture about principal bundles and its generalizations

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.114285Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.219396Z digest=sha256:aeed7709f6e69e2097f618e0dd725f7b78019b8a74eea30fcb9c944dedf7414e

Observation 7479d00e-d757-4e36-a865-99aed1d80df6 · outbound

This paper cites On the Gersten conjecture for hermitian Witt groups.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Gersten conjecture for hermitian Witt groups

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.102973Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.224549Z digest=sha256:df0985993c115afc009d4b58d8a7bf33cab635777cbaf92824a3eaf514142938

Observation 9f7093bc-edf2-42d0-8058-b85b581c636d · outbound

This paper cites The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case, J.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case, J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.091997Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.228468Z digest=sha256:24877ab7e9518cb223e0f17f4ea29254f4e5ccaa5ac0d7767d87c930f9d0568f

Observation 3a365f21-721a-4faa-868a-4b5ec9329c97 · outbound

This paper cites Torsion homologique et section rationnelles, in Anneaux de Chow et applications , S\' e minaire Chevalley, 2-e ann\' e e, Secr\' e tariat math\' e matique, Paris, 1958.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Torsion homologique et section rationnelles, in Anneaux de Chow et applications , S\' e minaire Chevalley, 2-e ann\' e e, Secr\' e tariat math\' e matique, Paris, 1958

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.081005Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.232075Z digest=sha256:c5705221844b2bcd5831412a0cf4280a581afe134cd6228aa892c5fa98e8acae

Observation 1ecb6d6b-1d07-4209-b54b-35fcde042452 · outbound

This paper cites Le group de Brauer II, in Dix expos\' e s sur la cohomologique de sch\' e mas , Amsterdam, North-Holland, 1968.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Le group de Brauer II, in Dix expos\' e s sur la cohomologique de sch\' e mas , Amsterdam, North-Holland, 1968

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.069120Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.235664Z digest=sha256:7e3a2245599360cf75e698d17ea376f3fc12030c4820f9adf41486997469ef32

Observation 73947943-68cb-4c13-9756-f858fcddd990 · outbound

This paper cites The Grothendieck--Serre conjecture over semi-local Dedekind rings.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic The Grothendieck--Serre conjecture over semi-local Dedekind rings

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.057537Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.238885Z digest=sha256:31c66b9cd17360ca2d9891cc4ba30049472938c0fa55ab895653a73474335c50

Observation 2b57e3cf-bf39-4845-889b-e2ff5333da5a · outbound

This paper cites A presentation theorem for smooth projective schemes over discrete valuation rings.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A presentation theorem for smooth projective schemes over discrete valuation rings

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.626140Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.242086Z digest=sha256:9d0b171aa4be1c8c440e9da935feebcc9255b85c9e2c884ed4dcd39090e49848

Observation c787bfee-39a0-482f-8374-c45221310bdf · outbound

This paper cites Weak elementary fibrations.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Weak elementary fibrations

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.609470Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.245377Z digest=sha256:3bd775144a40e660f05df93679895025444f8dbc38d261a162cf14df77e5bd85

Observation 9e07b435-d6bf-411f-b370-80ac544b178f · outbound

This paper cites On the Grothendieck--Serre conjecture for projective smooth schemes over a DVR.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck--Serre conjecture for projective smooth schemes over a DVR

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.594519Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.248849Z digest=sha256:e66f1e42bd3e4190090fcb76dec04ca4855deef7d08903f8f9581c831fb63632

Observation aeb2687f-fae9-4c02-b2dd-1d5a806740d7 · outbound

This paper cites Quadratic and Hermitian forms over rings.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Quadratic and Hermitian forms over rings

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.045542Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.252390Z digest=sha256:992f5a54b613d3609eddf8d8d56db7e58cd23577c30cb64bd085b00fac6fe11d

Observation 662d7f47-48e0-4b8b-948a-751b353e8f5e · outbound

This paper cites On the Bass---Quillen conjecture concerning projective modules over polynomial rings.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Bass---Quillen conjecture concerning projective modules over polynomial rings

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.034096Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.255617Z digest=sha256:ddc91044096a1f3431d7444f1336c2d0a60774824f141c3661a201861ead8f77

Observation a15b6dc1-6a01-474d-9739-e5bb75b0c7f5 · outbound

This paper cites A^1 -homotopy theory of schemes.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A^1 -homotopy theory of schemes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.022793Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.259409Z digest=sha256:6a2d13930c80ae0850c11cb465635f54e5e6f6f863808d7a8e79959248b9bf25

Observation 7e003d11-0e26-4980-b619-fe1bca4414ac · outbound

This paper cites Espaces homog\` e nes principaux rationnellement triviaux et arithm\' e tique des sch\' e mas en groupes r\' e ductifs sur les anneaux de Dedekind.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Espaces homog\` e nes principaux rationnellement triviaux et arithm\' e tique des sch\' e mas en groupes r\' e ductifs sur les anneaux de Dedekind

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.012617Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.263165Z digest=sha256:64e3038bb3041731653357e3c438f7b50213f3b7bf2c76efe247e1c926edf2f0

Observation d1ddf4f0-1889-42d1-a7e2-ac940c1b1a61 · outbound

This paper cites A splitting theorem for quadratic forms.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A splitting theorem for quadratic forms

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:25.001876Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.266994Z digest=sha256:ecdefdca0d7359176244edca997053b76cfc8650901a48e40a69c3837a694c8e

Observation 3a3e53d2-c421-4f9e-b883-a09ed2619935 · outbound

This paper cites Unit\' e s repr\' e sent\' e es par des formes quadratiques ou par des normes r\' e duites.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Unit\' e s repr\' e sent\' e es par des formes quadratiques ou par des normes r\' e duites

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.990249Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.270757Z digest=sha256:c39ba1caacdd4eddcb50b06a95b3682f37939297c1e6ce186aa8fa66ccd47cf3

Observation f2260b75-370c-4706-bff5-d095f4351a8b · outbound

This paper cites Rationally trivial hermitian spaces are locally trivial, Math.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Rationally trivial hermitian spaces are locally trivial, Math

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.978441Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.274333Z digest=sha256:970956ab1d8336729c24724f5a6672faa701ff6b56236d541897aee3a0e5855b

Observation 4a3bb2b1-fc64-4247-8652-29924f16b40b · outbound

This paper cites On Grothendieck---Serre's conjecture concerning principal G -bundles over reductive group schemes: I, Compositio Math.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On Grothendieck---Serre's conjecture concerning principal G -bundles over reductive group schemes: I, Compositio Math

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.966663Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.278122Z digest=sha256:3a8524d35fc4ff66dbbe5c2fac54f019c9809d1c145521faf74bb79b450522f6

Observation 8d55ebf9-79fc-4c46-92c2-927a74cfd7be · outbound

This paper cites Proof of GrothendieckSerre conjecture on principal bundles over regular local rings containing a finite field, preprint (2015).

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Proof of GrothendieckSerre conjecture on principal bundles over regular local rings containing a finite field, preprint (2015)

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.954625Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.282238Z digest=sha256:ef4669cb2010c6da2257f79ff50703201a696e90147cc02cf2ec974c1a2ba330

Observation c1126f44-ddd2-41ef-9a89-83beb91cf237 · outbound

This paper cites Nice triples and moving lemmas for motivic spaces.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Nice triples and moving lemmas for motivic spaces

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.942696Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.286140Z digest=sha256:e4cf80a1ea0950dee3abaa8259ea270d35944a04394ac4bdd3a068468bbf36dd

Observation 7c10317e-ae26-4a73-a882-26ccd576f2bf · outbound

This paper cites Proof of the Grothendieck--Serre conjecture on principal bundles over regular local rings containing a field.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Proof of the Grothendieck--Serre conjecture on principal bundles over regular local rings containing a field

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.931352Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.289909Z digest=sha256:fd82b929ea33d649d73a9d4174bcd7a1423a30af69611d08a4640bc763b0feab

Observation 717432dd-dc9d-4968-921c-abdb252aa2d9 · outbound

This paper cites On Grothendieck--Serre conjecture concerning principal bundles, Proceedings of the International Congress of Mathematicians, vol.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On Grothendieck--Serre conjecture concerning principal bundles, Proceedings of the International Congress of Mathematicians, vol

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.919452Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.293665Z digest=sha256:ae574597aff7f925b324d3d366b5aa071468fb2cd8ed4f1e0a21d1ecf8805a67

Observation 9bfad9ca-5e42-4fc0-84f8-2a5f0553b56e · outbound

This paper cites Nice triples in the DVR context.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Nice triples in the DVR context

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.908286Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.301610Z digest=sha256:ae18a8257642eb216f52fce0d45a0ec2fdadf22cb2862d9855d4fd16461ca40f

Observation c087255d-4fd1-46ba-bc4e-88a64545373d · outbound

This paper cites A., Stavrova A.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A., Stavrova A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.897068Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.305285Z digest=sha256:1d1a5b51be8cc7a66a7b25f0e1c044b6bc98688cd067a190339e67c342df86c1

Observation 480f7d5a-037d-4fae-8073-a02ee7b88040 · outbound

This paper cites On a conjecture of Grothendieck concerning Azumaya algebras, St.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On a conjecture of Grothendieck concerning Azumaya algebras, St

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.886110Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.313159Z digest=sha256:90fbad2a2631285f7a0824c8ffed020922492814937639afb7160c95879c2625

Observation 86f5828a-2348-4f97-93e4-b5fda6c1e42a · outbound

This paper cites Bertini theorems over finite fields.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Bertini theorems over finite fields

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.875464Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.316713Z digest=sha256:311222883aa7ce4aa87fdbabb24e32938245a0a364828c56c761d889228cc031

Observation b79327b6-7a0d-4603-a745-9ce71de9369b · outbound

This paper cites General N\'eron desingularization and approximation.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic General N\'eron desingularization and approximation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.865692Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.320528Z digest=sha256:8ae5d01ba1f2d17afa5f1a6b69628164f5eaf1aff18962d789f176beaed7bfdd

Observation 32cee9d1-457f-4a07-bfe2-f79478b0374c · outbound

This paper cites Higher K-theory-I, Lect.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Higher K-theory-I, Lect

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.855534Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.324298Z digest=sha256:acc31604e5794655dcafe7e25a38990142e69df6f698ffe3a0412961a9c5611f

Observation e40110e7-cfd2-4fc7-853a-74a047c92392 · outbound

This paper cites Espaces fibr\' e s alg\' e briques, in Anneaux de Chow et applications , S\' e minaire Chevalley, 2-e ann\' e e, Secr\' e tariat math\' e matique, Paris, 1958.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Espaces fibr\' e s alg\' e briques, in Anneaux de Chow et applications , S\' e minaire Chevalley, 2-e ann\' e e, Secr\' e tariat math\' e matique, Paris, 1958

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.845545Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.328069Z digest=sha256:8f5a692297881a8bbddce7d7eae1ef314648766034d3c73c44197d0f852b0d2f

Observation b70da84f-09c9-4e64-87a5-8b1781d682fc · outbound

This paper cites an unresolved cited work.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:47:24.833692Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.331983Z digest=sha256:05d469ace452c94f9b88137fd04a6365153e184b8d14d69dfdac13782e858257

Observation c4675ffc-6270-48da-9fc5-398387036d2e · outbound

This paper cites Grothendieck-Serre in the quasi-split unramified case.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Grothendieck-Serre in the quasi-split unramified case

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.548947Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.335588Z digest=sha256:153fa104931902d953500dab4799ec4dfe07e47190508d48030c30f35db45f8b

Observation f0859616-dd17-412c-a178-a6d0963e24ac · outbound

This paper cites Espaces Principaux Homog\`enes Localement Triviaux, Publ.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Espaces Principaux Homog\`enes Localement Triviaux, Publ

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.821601Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.339643Z digest=sha256:49c261e15a37f76ee9974dfa745e32100e882274987f2cd5e30659f1a1904847

Observation db051eaa-c10e-40db-968a-5a711cd26218 · outbound

This paper cites A proof of Grothendieck--Serre conjecture on principal bundles over a semilocal regular ring containing an infinite field, Publ.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A proof of Grothendieck--Serre conjecture on principal bundles over a semilocal regular ring containing an infinite field, Publ

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.810532Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.343688Z digest=sha256:df5db04913d845a6fc4dc49755f2abcf1cb575fb87ef0a63cb6d21e641f9a5f5

Observation 6f0802c9-45ba-4bfe-b88c-1038bd68d94d · outbound

This paper cites On the Grothendieck-Serre conjecture on principal bundles in mixed characteristic.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck-Serre conjecture on principal bundles in mixed characteristic

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.533032Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.347658Z digest=sha256:4aad3c7d02c47854915583a9b3ca40c645510f9af9fa7fb83fcbd8f77070ea2a

Observation 224c70d3-83e3-47ae-8b02-64c65186fb85 · outbound

This paper cites On the Grothendieck-Serre Conjecture about principal bundles and its generalizations.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck-Serre Conjecture about principal bundles and its generalizations

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.516733Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.351628Z digest=sha256:57ff2606b0a6dc8c42da349f5918fa2792b10e5db6296e5d97d6b59001e425aa

Observation 95a1b33b-c9ad-43d4-b942-8de477f65fde · outbound

This paper cites On the Gersten conjecture for hermitian Witt groups.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Gersten conjecture for hermitian Witt groups

Reference 46

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.498687Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.354949Z digest=sha256:81773b6e2c06f6c3b575c164ed5780808988b978374116f8d6d3d93b2ad94953

Observation d4e1c8d5-98fd-414c-8f70-dc9e5a17b4aa · outbound

This paper cites A PRESENTATION THEOREM FOR SMOOTH PROJECTIVE SCHEMES OVER DISCRETE VALUATION RINGS, preprint 2023.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A PRESENTATION THEOREM FOR SMOOTH PROJECTIVE SCHEMES OVER DISCRETE VALUATION RINGS, preprint 2023

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.798813Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.358636Z digest=sha256:e48b7c8ee5b5f2263bd0bf7c00cfd0d857a92b516323f33b9574c32b93984d4e

Observation 9f59a544-64f9-4856-86fe-e398afdd81bf · outbound

This paper cites Weak elementary fibrations; arxiv:230202837v1 (2023).

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Weak elementary fibrations; arxiv:230202837v1 (2023)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.787814Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.361709Z digest=sha256:4fca116f43f2776ef35d44f87ccb272ee57535186dbb714d175e7a6e7cca768b

Observation 030a5b24-a7cd-476e-a9b2-b7d5b195e454 · outbound

This paper cites The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case, J.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case, J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.776745Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.364847Z digest=sha256:cd803bdc7705b7bfa54c5d6017715bb11d419b818ec43dee0ed8f3b57b0b9df2

Observation 70b3a306-13c6-42b9-a0ba-03f887b3a595 · outbound

This paper cites Le group de Brauer II, in Dix expos\' e s sur la cohomologique de sch\' e mas , Amsterdam,North-Holland, 1968.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Le group de Brauer II, in Dix expos\' e s sur la cohomologique de sch\' e mas , Amsterdam,North-Holland, 1968

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.765727Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.367904Z digest=sha256:08a910318af017d251829e5363a8ecd895292c0b0ffcdff7ad47eb3a9a8a27b1

Observation 99206ac9-fa71-47ed-bed7-1e4e35436f2c · outbound

This paper cites Quadratic and Hermitian forms over rings, Springer-Verlag, Berlin, 1991.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Quadratic and Hermitian forms over rings, Springer-Verlag, Berlin, 1991

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.754449Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.371128Z digest=sha256:bf38436da66e1ecaadc6ddeb90630c0e9f515126ed46546b83b6926844f68a52

Observation a2a1ea3d-a9af-4216-a0e7-52d87bc47621 · outbound

This paper cites Lindel, On the Bass---Quillen conjecture concerning projective modules over polynomial rings , Invent.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Lindel, On the Bass---Quillen conjecture concerning projective modules over polynomial rings , Invent

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.742763Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.374740Z digest=sha256:8c02d5fafe707bb44ceacadc2a90ddde7443f8d4ff4ed79a3c5fbe4e72d5ce48

Observation 91495f19-15fc-4cda-ad27-e8d0db2643af · outbound

This paper cites A^1 -homotopy theory of schemes, Publ.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic A^1 -homotopy theory of schemes, Publ

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.731551Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.378143Z digest=sha256:5cdd7aad7b25a6095a82ca4ca13f83e26d858eea7c3de8d86b1922dbf926299d

Observation 3d255142-d58c-4082-8ef5-c97a7f703cbb · outbound

This paper cites Espaces homog\` e nes principaux rationnellement triviaux et arithm\' e tique des sch\' e mas en groupes r\' e ductifs sur les anneaux de Dedekind".

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Espaces homog\` e nes principaux rationnellement triviaux et arithm\' e tique des sch\' e mas en groupes r\' e ductifs sur les anneaux de Dedekind"

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.720896Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.381980Z digest=sha256:ce38ab9a6eb47528ffe3197eaef18f60a83266f5b675a284335eca94f14546ea

Observation ebada33e-73da-4441-a7a8-3fcfd1244f2d · outbound

This paper cites The Grothendieck-Serre Conjecture over Semilocal Dedekind Rings.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic The Grothendieck-Serre Conjecture over Semilocal Dedekind Rings

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.480627Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.385744Z digest=sha256:9332b77a415a608fec0fd85ce7705361053226c4264947180413bfc75872635b

Observation 94979557-6108-467b-a84a-9132c5119c9c · outbound

This paper cites Nice triples and moving lemmas for motivic spaces, Izv.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Nice triples and moving lemmas for motivic spaces, Izv

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.710356Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.389602Z digest=sha256:564dce641ad48dd4dad37e29d294107466fa7427a6fd8ade1300c15f09834862

Observation 070eeb2c-58e3-4b2c-bd2c-e61ccc30334a · outbound

This paper cites Proof of the Grothendieck--Serre conjecture on principal bundles over regular local rings containing a field, Izvestiya: Mathematics, 2020, 84:4, 780--795.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Proof of the Grothendieck--Serre conjecture on principal bundles over regular local rings containing a field, Izvestiya: Mathematics, 2020, 84:4, 780--795

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.699120Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.393592Z digest=sha256:8457cb9e3bc644ae30c68bd49f1c87bba4a6dd450b73caa95f4943539c1b061c

Observation ff4ce436-73d7-4c6c-b218-5ebfbebeed33 · outbound

This paper cites Moving lemmas in mixed characteristic and applications.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Moving lemmas in mixed characteristic and applications

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.578351Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.397568Z digest=sha256:98be4d34a2448437082efab37c76329ebba362067446be9443a63d83527e5a35

Observation 6fe2665b-b5c8-4105-86c3-694aaafc9dbc · outbound

This paper cites Nice triples in the DVR context, Preprint (2024), November.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Nice triples in the DVR context, Preprint (2024), November

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.686525Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.401752Z digest=sha256:69f6670a7352f9d3de6217afd8343bdd169ae7b8273f8cac338ed905c64e7fa2

Observation 9fe99749-8fe3-4ffc-9db1-3b1863541838 · outbound

This paper cites On the Grothendieck--Serre conjecture concerning principal G-bundles over semi-local Dedekind domains.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Grothendieck--Serre conjecture concerning principal G-bundles over semi-local Dedekind domains

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.462443Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.405436Z digest=sha256:5621a713c5bd61ea8a58511e9a2ee16ba22f7d0867f08c2c0852836a3089700a

Observation 851a1c95-485d-428e-a720-c287d6766771 · outbound

This paper cites On the Gille theorem for the relative projective line.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On the Gille theorem for the relative projective line

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:47:24.563323Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.409321Z digest=sha256:d6af2ae7c1efaa4695c10c8280533fcc6769de9b051c7feaf71207d8e273e1e6

Observation 6d75e7b5-1b6b-410e-b84a-378c7fd2a75a · outbound

This paper cites On a conjecture of Grothendieck concerning Azumaya algebras, St.Petersburg Math.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic On a conjecture of Grothendieck concerning Azumaya algebras, St.Petersburg Math

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.674633Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.412917Z digest=sha256:e95540903fbd1e90a36ab168de624efdb3aba847d7c6125ea324b60dab631aca

Observation ced155f8-b09b-4b8d-8e2e-87f0d4f9cf72 · outbound

This paper cites an unresolved cited work.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-11T14:47:24.662780Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.416798Z digest=sha256:9a40ded20b1fb178a9f0a18841b5d32de4ba252f0f830f681232a9bd73ab7478

Observation 09f063bc-23b7-45e9-a329-42478f006bd7 · outbound

This paper cites General N\'eron desingularization and approximation, Nagoya Math.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic General N\'eron desingularization and approximation, Nagoya Math

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.650862Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.420392Z digest=sha256:e4322b6f74cdc7da3055b3228bb3dcf569ee65dded7f6d75a53dead324c2d1f1

Observation 22972e1f-9db8-4fd3-8a1e-660de5ee4e17 · outbound

This paper cites N\'eron---Popescu desingularization, Algebra and Geometry (Taipei, 1995), Lect.

Constant case of the Grothendieck-Serre conjecture in mixed characteristic N\'eron---Popescu desingularization, Algebra and Geometry (Taipei, 1995), Lect

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:47:24.638378Z

Source-reported events for the cited work

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

source=arxiv_source observed=2026-08-11T14:47:24.423892Z digest=sha256:070e099beac54dc3fe0b79f233f87664f67acefb8448475d7fd103d9529a461b

Pith citing papers

No inbound Pith citation observations are available.