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Paper Citation Record · LEDGER

Specialization and rigidity

As of 11 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2506.22314.

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

pith.paper-citation-record.v1
2506.22314 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:23:41.348534Z

measured 36 of 36 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 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

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy28
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85a9e0eb-f140-4fa7-b997-c3aa2f6edfcf · outbound

This paper cites Period-index bounds for arithmetic threefolds.

Specialization and rigidity Period-index bounds for arithmetic threefolds

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:49.147592Z

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=2026-08-06T22:23:36.870700Z digest=sha256:d7509bbbb3e97e711dac04976c3698e82003dbad516f59c7c56582113e5d3648

Observation 71c48722-1011-4169-b809-f946c589bc6f · outbound

This paper cites Fibrations m\' e romorphes sur certaines vari\' e t\' e s \`a fibr\' e canonique trivial.

Specialization and rigidity Fibrations m\' e romorphes sur certaines vari\' e t\' e s \`a fibr\' e canonique trivial

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:48.993313Z

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=2026-08-06T22:23:36.927052Z digest=sha256:1ab3772930dec01d78a30dd1342466e65c86d33edf8f2acf941df9d6ca1aa0f5

Observation 7e73119e-175c-4b35-86e4-de0a8bdf421c · outbound

This paper cites an unresolved cited work.

Specialization and rigidity Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:23:48.691423Z

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=2026-08-06T22:23:37.055698Z digest=sha256:752da8dbb892c5fd94da9f8a54b0fbd22f64042b80806686bf082991438be57a

Observation c6428fc7-31cd-44ce-9c0b-6f26aecef9e0 · outbound

This paper cites Brauer- S everi varieties.

Specialization and rigidity Brauer- S everi varieties

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:48.436037Z

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=2026-08-06T22:23:37.120529Z digest=sha256:78f169e672c80b1dcbd9d0cefbe9a69aaca0ad46933510c8cd1b6eb0515d021e

Observation 279889cc-8747-4a06-90ef-5494366579bd · outbound

This paper cites On a dynamical version of a theorem of R osenlicht.

Specialization and rigidity On a dynamical version of a theorem of R osenlicht

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:48.239738Z

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=2026-08-06T22:23:37.328462Z digest=sha256:14e9f73f323bd98b9287ed3d378cc50c7b0b3c3f72e3630b2ea522affe595fe8

Observation 038fe054-89cf-45c1-8a9c-e3f8f21ccc01 · outbound

This paper cites Noncrossed products and nonabelian crossed products over Q(t) and Q((t)).

Specialization and rigidity Noncrossed products and nonabelian crossed products over Q(t) and Q((t))

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:48.016917Z

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=2026-08-06T22:23:37.504867Z digest=sha256:50fe77b308a99b5c934664dac289fabd074653cf860a9e0333865ad60b0c69cd

Observation 9aaaab1f-455b-4216-994e-b052049a3600 · outbound

This paper cites Pseudo-reductive groups , volume 17 of New Mathematical Monographs.

Specialization and rigidity Pseudo-reductive groups , volume 17 of New Mathematical Monographs

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:47.743202Z

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=2026-08-06T22:23:37.785514Z digest=sha256:02b148b8bc482653417a19f2afb148456547afc8a726cd846172646f42725040

Observation af46c08b-d03e-49f3-a195-77c96a7f7708 · outbound

This paper cites Chernousov, P.

Specialization and rigidity Chernousov, P

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:47.418611Z

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=2026-08-06T22:23:37.988283Z digest=sha256:080a025f4ea666412c3f1f5484e254dac122b2266bf8dfb31fa3546cc1e158c3

Observation 230107db-b236-4bfa-a16f-c7c390cbd64f · outbound

This paper cites Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie.

Specialization and rigidity Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-06T22:23:38.122693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:23:38.122693Z digest=sha256:01ce4a0f702e7087ed1f3eca6a7b65806931d3e438dec2f95065e21608fdc387

Observation cf4f9db5-ace9-41ab-8f98-59a18ea81c6b · outbound

This paper cites Exposant et indice d'alg\`ebres simples centrales non ramifi\' e es.

Specialization and rigidity Exposant et indice d'alg\`ebres simples centrales non ramifi\' e es

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:47.012677Z

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=2026-08-06T22:23:38.218454Z digest=sha256:0c6c4d78031776ea274eec5a67de0e8c4564963693c0f7e55c261e5fa4d57541

Observation 71eb58c4-e7c7-4f06-bf62-67f1aef5fe70 · outbound

This paper cites Hypersurfaces quartiques de dimension 3: non-rationalit\' e stable.

Specialization and rigidity Hypersurfaces quartiques de dimension 3: non-rationalit\' e stable

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:46.661180Z

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=2026-08-06T22:23:38.314058Z digest=sha256:9ddb833c1eb8aeeda19acf37bcc4bbf19c64b53345989435b3ecbe4eaa228362

Observation 845cc7fe-92f0-456d-a969-cd1e6d6ddc9b · outbound

This paper cites an unresolved cited work.

Specialization and rigidity Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:23:46.324599Z

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=2026-08-06T22:23:38.406458Z digest=sha256:3cb570b85ad19b0a212b304ec0343cf0df3605e08b7180d0487c1e78c002c930

Observation 00dbb3c1-50af-4fc7-9b65-5cd1c7b8449a · outbound

This paper cites Points rationnels sur les espaces homog\`enes et leurs compactifications.

Specialization and rigidity Points rationnels sur les espaces homog\`enes et leurs compactifications

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:46.031897Z

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=2026-08-06T22:23:38.472192Z digest=sha256:16a0b3f44fb2271e2a021ab0aef185d965f6ac6e3e7cf95efbbadce979a909f5

Observation 63d45a8d-90af-4244-8bb5-3bee803138ca · outbound

This paper cites Resolvent degree, H ilbert's 13th problem and geometry.

Specialization and rigidity Resolvent degree, H ilbert's 13th problem and geometry

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:45.758713Z

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=2026-08-06T22:23:38.580116Z digest=sha256:a5755ee767eae408c19c99b0bda8ea0f360c4372475731fa69d9c2d0f2c26585

Observation e2763597-8789-4019-87d6-34910d905282 · outbound

This paper cites \'E l \'e ments de g \'e om \'e trie alg \'e brique II , volume 8 of Publications M ath \'e matiques.

Specialization and rigidity \'E l \'e ments de g \'e om \'e trie alg \'e brique II , volume 8 of Publications M ath \'e matiques

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T22:23:38.670255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:23:38.670255Z digest=sha256:d3614b82561cf9f96e727bbf4ccdc25bc025cc5370e32b89ee0a9ddee24e11b4

Observation 556d87c9-ca33-4622-8e43-71c291421dcc · outbound

This paper cites \'E l \'e ments de g \'e om \'e trie alg \'e brique IV , volume 20, 24, 28, 32 of Publications M ath \'e matiques.

Specialization and rigidity \'E l \'e ments de g \'e om \'e trie alg \'e brique IV , volume 20, 24, 28, 32 of Publications M ath \'e matiques

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:45.405867Z

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=2026-08-06T22:23:38.749809Z digest=sha256:b3a07afadc8c21cd9a5b094ba96c97b0e311af126b8a1916bbee3e7d27cba468

Observation b181d47f-beb1-478d-aa1b-542b5d5999d5 · outbound

This paper cites Sch\' e mas en groupes ( SGA 3).

Specialization and rigidity Sch\' e mas en groupes ( SGA 3)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:45.114452Z

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=2026-08-06T22:23:38.848953Z digest=sha256:4dc990188ad06eb2eeadc70036fc5d002409adf3faf985c0220e3fa943d67088

Observation cfc2b046-a625-4258-883b-078df0a1add8 · outbound

This paper cites Central simple algebras and G alois cohomology , volume 165 of Cambridge Studies in Advanced Mathematics.

Specialization and rigidity Central simple algebras and G alois cohomology , volume 165 of Cambridge Studies in Advanced Mathematics

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:44.824310Z

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=2026-08-06T22:23:38.973204Z digest=sha256:82c8b344604fc38e4cfa7f168f93f190f342358ce26a2d8099b5a5c7991a4d25

Observation 17d5a651-b50c-4272-a61e-68966e70f1af · outbound

This paper cites An explicit example of a noncrossed product division algebra.

Specialization and rigidity An explicit example of a noncrossed product division algebra

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:44.648757Z

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=2026-08-06T22:23:39.142158Z digest=sha256:d1ef01273e8c38848478b28e5f2def75da434ca6b6747bced5ecda931386c88e

Observation 41fa4e01-b17e-4947-8a53-4bf73c195be7 · outbound

This paper cites A twisted L aurent series ring that is a noncrossed product.

Specialization and rigidity A twisted L aurent series ring that is a noncrossed product

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:44.366180Z

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=2026-08-06T22:23:39.228391Z digest=sha256:bc021d53e46d11fa8a406e6423dd8269c0bbe6d1a4ac73865bbb79ac808c54e1

Observation de0b81b5-fe9b-4c37-9abb-28a8275e0b1e · outbound

This paper cites The period-index conjecture for abelian threefolds and Donaldson-Thomas theory.

Specialization and rigidity The period-index conjecture for abelian threefolds and Donaldson-Thomas theory

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-06T22:23:39.367490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:23:39.367490Z digest=sha256:7fa3a1a7374eb06469fa9b69914aff9e959f1a83cd2577165f94588ea0cb8196

Observation 9a953eea-e2c7-42b7-810e-db6c346986d4 · outbound

This paper cites Wadsworth.

Specialization and rigidity Wadsworth

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:44.144304Z

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=2026-08-06T22:23:39.446856Z digest=sha256:b9757f91ccc5265c7e2ada089e765e8c1f3e5a991b6cc4931378c7372268ee9e

Observation c9bf247f-07c5-4f2e-9e41-538dee797f5c · outbound

This paper cites Specialization of birational types.

Specialization and rigidity Specialization of birational types

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.970184Z

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=2026-08-06T22:23:39.589121Z digest=sha256:89b60df2a28729e79c917cff9fa09164b8159df81d11b1335360b6f6a66f74f5

Observation 19c8647f-29ed-4cc7-bf6b-b00637b04fc0 · outbound

This paper cites N \'e ron--severi groups under specialization.

Specialization and rigidity N \'e ron--severi groups under specialization

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.819417Z

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=2026-08-06T22:23:39.699095Z digest=sha256:df8a8cca817f4e79671a5323aa02c93c198fbc8577a59b003b697d9b2affd4cf

Observation 37cdde86-8d2a-4788-a125-fedae78b440e · outbound

This paper cites The motivic nearby fiber and degeneration of stable rationality.

Specialization and rigidity The motivic nearby fiber and degeneration of stable rationality

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.643200Z

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=2026-08-06T22:23:39.875879Z digest=sha256:34cc320650c3060de1402b56e4164fb1d854059dcb5dd6f9bbc194a845c1d284

Observation 6c1fcbb1-09ed-47a1-8f97-5333da27279a · outbound

This paper cites Hilbert's 13th problem for algebraic groups.

Specialization and rigidity Hilbert's 13th problem for algebraic groups

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.436501Z

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=2026-08-06T22:23:40.004740Z digest=sha256:ed424925ea7796327bb577ad5fdbd8949e2ae2cd20d9bca09b344f28c80aa310

Observation 1bfe1a99-20c3-4ea3-8cf0-ae0223db5abe · outbound

This paper cites The behavior of essential dimension under specialization.

Specialization and rigidity The behavior of essential dimension under specialization

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T22:23:40.091732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:23:40.091732Z digest=sha256:4e4213696ba0935bfb8b771efe3566d0c2f1905feda6f2859eba53cb95ae50da

Observation 6cffeb12-8643-48a0-ac7d-f1f9c3a0fa75 · outbound

This paper cites The behavior of essential dimension under specialization, II.

Specialization and rigidity The behavior of essential dimension under specialization, II

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.242452Z

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=2026-08-06T22:23:40.229292Z digest=sha256:9afea72a5487e1d759c8df87eb88ffaca13cadccb45dea45965b16722d65866c

Observation 3a4e948b-1b70-4a32-9ad8-323da5d69458 · outbound

This paper cites Splitting fields of G -varieties.

Specialization and rigidity Splitting fields of G -varieties

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:43.098439Z

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=2026-08-06T22:23:40.354525Z digest=sha256:bbb496392822713f9a90bfeb122e196b3e40eb73cea3c939b5aa92a1ec839a9d

Observation 26333821-0a0c-44bf-a7b3-9c26bd39af3e · outbound

This paper cites A remark on isotrivial families.

Specialization and rigidity A remark on isotrivial families

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:42.915742Z

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=2026-08-06T22:23:40.497465Z digest=sha256:72db5267e0476704e205806b4208b8752d53133d42d033be1643d51046b84f4a

Observation a4c622db-17f6-4439-be62-e65e97ff1a88 · outbound

This paper cites Almost proper GIT -stacks and discriminant avoidance.

Specialization and rigidity Almost proper GIT -stacks and discriminant avoidance

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:42.656368Z

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=2026-08-06T22:23:40.702467Z digest=sha256:f2cbe6ef77cfdece8ecf15515f3a26c108115084d28a39cba57688eea9960e12

Observation 346df18c-4469-4762-9183-fe11b166d55c · outbound

This paper cites Galois cohomology.

Specialization and rigidity Galois cohomology

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-06T22:23:40.803749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:23:40.803749Z digest=sha256:38f8e8d6cc48888729e106d70bfda40cb85d01e50b34004563ff9aebd515f5ea

Observation 0f97558d-8f7f-4b41-a7b7-5b49687c6bbc · outbound

This paper cites Stacks Project.

Specialization and rigidity Stacks Project

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:42.359440Z

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=2026-08-06T22:23:40.931487Z digest=sha256:046b87144b1cd09cfeaad34abf695ca2108afbb830cdfaae51dba01f1f053b42

Observation f6441a54-7b14-4132-ab24-fcafa65325c3 · outbound

This paper cites an unresolved cited work.

Specialization and rigidity Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:23:42.125440Z

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=2026-08-06T22:23:41.046771Z digest=sha256:9f363e14794186b2defd5b4d92edf4167d19e50e52d52f7ea3efb58799301ad4

Observation 3f5dc550-121c-4b71-975f-99d7f31e2e01 · outbound

This paper cites Unirational threefolds with no universal codimension 2 cycle.

Specialization and rigidity Unirational threefolds with no universal codimension 2 cycle

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:41.863099Z

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=2026-08-06T22:23:41.202495Z digest=sha256:8d6f5625decf2967ad17bd8a034eaf28d889adf2b3fa07e77a5ab388d56f7401

Observation 2c53da3d-81cc-40d6-b4cc-a747a1b744f3 · outbound

This paper cites Birational invariants and decomposition of the diagonal.

Specialization and rigidity Birational invariants and decomposition of the diagonal

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:23:41.596900Z

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=2026-08-06T22:23:41.348534Z digest=sha256:1dea136c4345930bc06a0dcae3e13c7fe6e2edcca1c13d66220e86e006a42744

Pith citing papers

No inbound Pith citation observations are available.