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Paper Citation Record · LEDGER

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type

As of 18 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 2 inbound Pith citation observations for arXiv:2502.02143.

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

pith.paper-citation-record.v1
2502.02143 v3

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:29:39.739387Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:57:55.538869Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:39:49.443810Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact0
  • verified fuzzy12
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 81a4e817-899c-4f21-92f6-f15a5e93a3b6 · outbound

This paper cites Mori cones of holomorphic symplectic varieties of K3 type.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Mori cones of holomorphic symplectic varieties of K3 type

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:40.016751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.664917Z digest=sha256:4659be6c8112359ff0316b20942c829eab89bfff0062659052da0ffcd5b443f1

Observation 85121b82-becd-48e4-a453-bdf36555aed6 · outbound

This paper cites Derived categories of hyper-K¨ ahler manifolds: extended Mukai vector and integral structure.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Derived categories of hyper-K¨ ahler manifolds: extended Mukai vector and integral structure

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:40.002457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.669976Z digest=sha256:e6e50b0c5d6fdfd8a97286408d99109f1a53d43417b60e5356f964eae7b760cc

Observation 94a9102d-4955-4a3d-b94d-cd1c2e3759a0 · outbound

This paper cites Derived categories of Fano varieties of lines.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Derived categories of Fano varieties of lines

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-09T13:29:39.674307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:29:39.674307Z digest=sha256:19e7a5cdce81caffd728d550ed2a452cb25186e0144c63f329ae7fc9f5fe2c13

Observation ea92f7f9-9df2-43d7-a7ac-a71deac2a6b4 · outbound

This paper cites Every rational Hodge isometry between two K3 surfaces is algebraic.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Every rational Hodge isometry between two K3 surfaces is algebraic

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.987995Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.679094Z digest=sha256:804e82f54ac5c8e71b8836b5d40be610d6395b3124f6e6e2bbf2f85428d174c7

Observation 2d73035b-70a0-4c73-9df7-023d5eae451f · outbound

This paper cites Nonfine moduli spaces of sheaves on K3 surfaces.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Nonfine moduli spaces of sheaves on K3 surfaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.973279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.683753Z digest=sha256:f617d6004538af7d84ea16cddf8434444d0bb5a8c68d05fd269f6b76e2ae87c9

Observation e6d957f4-b6b8-4c7c-9636-92202708f5f3 · outbound

This paper cites Gritsenko, K.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Gritsenko, K

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.958209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.689058Z digest=sha256:345a4445273a59c397fb991893eb2203ec07dc70b808b48b6b59e8118e6a1107

Observation de6df2c0-2913-49c5-8c0a-f08b9c982d42 · outbound

This paper cites Lectures on K3 surfaces, volume 158 of Cambridge Studies in Advanced Mathematics.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Lectures on K3 surfaces, volume 158 of Cambridge Studies in Advanced Mathematics

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.943508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.693937Z digest=sha256:2c4d9bfd8e6ce5b2ca83b640cd5496b4cc54f726dd6925f956899e151cd4701a

Observation c81c5c40-772d-4cca-ad3e-d1a82fd748d9 · outbound

This paper cites an unresolved cited work.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:29:39.929340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.698365Z digest=sha256:6ddf4fc4899c14effb6bb73219cb67d341374b518d7dcb3ee3c04a3cbb354a2a

Observation 76c3abf2-dca0-4219-9797-05251a975b46 · outbound

This paper cites Constructions of derived equivalent hyper-K\"ahler fourfolds.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Constructions of derived equivalent hyper-K\"ahler fourfolds

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T13:29:39.702692Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:29:39.702692Z digest=sha256:8a24de9d9ccd127977a8baee0a3b645616c25bac3039e6342e37555b4d4e231c

Observation 2311b50d-da40-4e86-8156-e82b7ba326ff · outbound

This paper cites A survey of Torelli and monodromy results for holomorphic-symplectic varieties.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type A survey of Torelli and monodromy results for holomorphic-symplectic varieties

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.914624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.707378Z digest=sha256:8a49b7b90720a61feead84ea63482d4946ca3ce26489dc92401a27c42c79b1e6

Observation a246f688-57b4-4b0d-a1de-1686c5b05772 · outbound

This paper cites The Beauville-Bogomolov class as a characteristic class.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type The Beauville-Bogomolov class as a characteristic class

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.897105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.712064Z digest=sha256:4daba72fe2fae6ddd4cf232d44b80ab428a72b0df06a7292678f2f187f3170a6

Observation 51846e4d-3a59-46fd-b345-17593c47383c · outbound

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

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Rational Hodge isometries of hyper-K¨ ahler varieties ofK3[n] type are algebraic

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.882045Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.717301Z digest=sha256:33cfac26d086c6aade29af43b5658b056e27258d1d70f0e9a4aaf70804609bf6

Observation c7f50fb4-a48d-4ec9-b9a9-19dd08953a09 · outbound

This paper cites Stable vector bundles on a hyper-K¨ ahler manifold with a rank 1 obstruction map are modular.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Stable vector bundles on a hyper-K¨ ahler manifold with a rank 1 obstruction map are modular

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.866780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.721663Z digest=sha256:e97825b892ae7da5c3d3126c3a70fb0349264b05a5f4ee6612351c7621959534

Observation 425aae7a-b6e9-4a5a-af68-bde3ec37dd27 · outbound

This paper cites Integral Transforms and Deformations of K3 Surfaces.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Integral Transforms and Deformations of K3 Surfaces

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-09T13:29:39.725988Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:29:39.725988Z digest=sha256:55e1f3eb1f29a6e3edd1709f7d2de71ad3c7c1e955b8dc5db1c5da680eb1447f

Observation d9bd1740-a6f0-4896-9d5e-556efa8561d8 · outbound

This paper cites Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Obstruction classes for moduli spaces of sheaves and Lagrangian fibrations

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-09T13:29:39.730515Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:29:39.730515Z digest=sha256:df7e3b9716f75b949875200af9668dcbb837aea0b2eabdcc8b6844c47c275dc7

Observation 364bae46-aa0a-4022-a495-10ff43add510 · outbound

This paper cites The D-equivalence conjecture for hyper- k¨ ahler varieties via hyperholomorphic bundles.Invent.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type The D-equivalence conjecture for hyper- k¨ ahler varieties via hyperholomorphic bundles.Invent

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.851818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.735084Z digest=sha256:9e99c660d2da34d01b23786d0f806a519e044eb755d8476dc7255da8ee44fb4e

Observation f68e1a1a-850a-49b9-b3c8-e99d41b27017 · outbound

This paper cites Stability and the Fourier-Mukai transform.

A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type Stability and the Fourier-Mukai transform

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:29:39.836342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-09T13:29:39.739387Z digest=sha256:c9e0bdf11e72b3345a307e6f40e480ba5f858fa4e8bddb921e8066ee4062898a

Pith citing papers

Observation f18a73d9-9959-45c1-8fa1-ee965b54cc51 · 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 A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type

Reference 58

Resolution
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arxiv_id, observed 2026-07-04T12:39:49.445258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-26T06:22:49.779351Z digest=sha256:eeab5f3224611d39e20fdf0c6b72c15ec2c0480e3a4d85beb5e54431b77018f1

Observation 0f68814a-fa40-4a91-b4c3-98e1c8af5d1d · inbound

Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations cites this paper.

Equivalences via twisted hyperholomorphic sheaves from transverse Lagrangian fibrations A twisted derived category of hyper-K\"ahler varieties of $K3^{[n]}$-type

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T11:57:55.538869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T11:57:55.538869Z digest=sha256:b2224b715d930e9bb5ce493362d3a5b15d401c67e5fe53dc331e045087e81493