Paper Citation Record · LEDGER

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 4 inbound Pith citation observations for arXiv:2502.09774.

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

pith.paper-citation-record.v1
2502.09774 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T20:52:27.797915Z

measured 20 of 20 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:57:01.153094Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:39:49.460726Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy9
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8a4a76eb-5171-4356-bf40-359d3d1f8b00 · outbound

This paper cites an unresolved cited work.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:52:27.995932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 533ce2f1-1354-4b20-9a65-8d30c6e2ada4 · outbound

This paper cites Colliot-Th´ el` ene,Exposant et indice d’alg` ebres simples centrales non ramifi´ ees,Enseign.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Colliot-Th´ el` ene,Exposant et indice d’alg` ebres simples centrales non ramifi´ ees,Enseign

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.985704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cdf3d7b4-e688-40e4-9976-5169f79ceda9 · outbound

This paper cites Colliot-Th´ el` ene,Alg` ebres simples centrales sur les corps de fonctions de deux variables (d’apr` es A.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Colliot-Th´ el` ene,Alg` ebres simples centrales sur les corps de fonctions de deux variables (d’apr` es A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.975296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e8866134-f1b2-4deb-9783-7a656c18ea9b · outbound

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

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Die Brauersche Gruppe; ihre Verallgemeinerungen und Anwendungen in der arithmetischen Geometrie

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T20:52:27.752520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 200fdca3-3634-42ff-9439-078d8e7c99ca · outbound

This paper cites an unresolved cited work.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T20:52:27.964909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 358e98f2-daf3-4f71-a2eb-7679de8ac53c · outbound

This paper cites The period-index problem and Hodge theory.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles The period-index problem and Hodge theory

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T20:52:27.760053Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b98173c6-9398-462b-9d4c-871d6c940c76 · outbound

This paper cites Gritsenko, K.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Gritsenko, K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.955321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 03600a82-eb59-4b9b-82ec-0cd5dc89b361 · outbound

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

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles The period-index conjecture for abelian threefolds and Donaldson-Thomas theory

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T20:52:27.768056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b763feb-8e23-413a-8727-4a6f602488f2 · outbound

This paper cites Huybrechts,Lectures onK3surfaces,Cambridge Stud.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Huybrechts,Lectures onK3surfaces,Cambridge Stud

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.944294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 781e4568-21e1-427e-8cf8-1fe7d7d533d3 · outbound

This paper cites The period-index problem for hyperk\"ahler manifolds.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles The period-index problem for hyperk\"ahler manifolds

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T20:52:27.775169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68662af4-02c2-4801-9b77-e613afc46dfa · outbound

This paper cites Huybrechts and D.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Huybrechts and D

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.932524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f0c1251c-a71c-41ab-88b5-49db2244b602 · outbound

This paper cites Huybrechts and S.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Huybrechts and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.921816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e2f0219f-855c-4171-9b85-148d1978fa1e · outbound

This paper cites Markman,A survey of Torelli and monodromy results for holomorphic-symplectic varieties,Complex and differential geometry, 257–322, Springer Proc.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Markman,A survey of Torelli and monodromy results for holomorphic-symplectic varieties,Complex and differential geometry, 257–322, Springer Proc

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.911016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8d28d73b-7200-44e0-ba50-a7013fc097f9 · outbound

This paper cites Markman,Rational Hodge isometries of hyper-K¨ ahler varieties ofK3 [n]-type are algebraic,Compos.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Markman,Rational Hodge isometries of hyper-K¨ ahler varieties ofK3 [n]-type are algebraic,Compos

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.901006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 487a45b6-10d1-444a-888a-d7b72cf3c651 · outbound

This paper cites The D-equivalence conjecture for hyper-K\"ahler varieties via hyperholomorphic bundles.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles The D-equivalence conjecture for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-07T20:52:27.835807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 59433f20-67cf-4549-877f-c9e35ca2077f · outbound

This paper cites Yoshioka,Stability and the Fourier–Mukai transform.

The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles Yoshioka,Stability and the Fourier–Mukai transform

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T20:52:27.891056Z

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.

Pith citing papers

Observation 9f50863b-f52d-4531-a791-b2c0fc89f470 · inbound

Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories cites this paper.

Hyper-K\"ahler varieties: Lagrangian fibrations, atomic sheaves, and categories The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 66

Resolution: verified exact; arxiv_id, observed 2026-05-15T00:58:26.151323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9ae3e049-3bac-4d53-849b-57c0f76d0cba · inbound

Irreducible symplectic varieties via K3-del Pezzo double covers cites this paper.

Irreducible symplectic varieties via K3-del Pezzo double covers The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 39

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T23:29:01.987510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4a3fb170-0ca0-4e55-b09e-54499dcb71de · inbound

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds cites this paper.

On moduli spaces of vector bundles on $K3^{[n]}$-type IHS manifolds The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:39:49.462813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 75604b50-7357-4174-817f-3ab60846e69e · inbound

The period-index conjecture is false cites this paper.

The period-index conjecture is false The period-index problem for hyper-K\"ahler varieties via hyperholomorphic bundles

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-05T14:57:01.153094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.