Paper Citation Record · LEDGER

Complexity one varieties are cluster type

As of 20 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 3 inbound Pith citation observations for arXiv:2504.17369.

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

pith.paper-citation-record.v1
2504.17369 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T10:53:17.435912Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:45:08.610300Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T04:37:03.415524Z

Reference resolution

38 of 38 outbound references displayed

verified exact8
verified fuzzy5
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6287f0e5-f08c-4896-9f50-3f26d60dd9c9 · outbound

This paper cites Abramovich and K.

Complexity one varieties are cluster type Abramovich and K

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.306577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bd01aca-b6dc-47a2-9493-542783752068 · outbound

This paper cites Altmann and J.

Complexity one varieties are cluster type Altmann and J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.311454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cb70ca2-e199-483a-80f9-d379d90c0f6f · outbound

This paper cites Altmann, J.

Complexity one varieties are cluster type Altmann, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:53:17.966666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 24742931-8998-4dd1-8c11-11fe8d016e55 · outbound

This paper cites Altmann, N.

Complexity one varieties are cluster type Altmann, N

Reference 4

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.574539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 20bc9820-cb20-4311-8700-a3cc4ab0b1a1 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:53:17.956938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a694a00-1ab1-42bd-be51-c4003eaac17d · outbound

This paper cites Arzhantsev, U.

Complexity one varieties are cluster type Arzhantsev, U

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:53:17.946968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation cb42ca15-12d3-4570-9ee0-09eaa3e8f8a7 · outbound

This paper cites Birkar, P.

Complexity one varieties are cluster type Birkar, P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.334038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f2c8905-be82-4fc3-bedf-b533346c4820 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.337813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11b9f147-bc59-4daf-bf9f-42caba1825b0 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 9

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.552258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b0ffd866-4361-4eaf-9f4c-e474f60d9f1e · outbound

This paper cites Cluster varieties and toric specializations of Fano varieties.

Complexity one varieties are cluster type Cluster varieties and toric specializations of Fano varieties

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.344553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4b0ebd9-6846-4a35-9ffe-9d56873769d3 · outbound

This paper cites Log Calabi--Yau pairs of complexity zero and arbitrary index.

Complexity one varieties are cluster type Log Calabi--Yau pairs of complexity zero and arbitrary index

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.348137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afa9c6c2-dee7-4889-b543-a33f2b664552 · outbound

This paper cites Log Calabi-Yau pairs of birational complexity zero.

Complexity one varieties are cluster type Log Calabi-Yau pairs of birational complexity zero

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.351593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34787da7-3db7-4fae-9a7a-b76ed9774499 · outbound

This paper cites Fahrner and J.

Complexity one varieties are cluster type Fahrner and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:53:17.936769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 14943207-f5f5-4982-af35-7ca258ce3c65 · outbound

This paper cites Filipazzi.

Complexity one varieties are cluster type Filipazzi

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:53:17.927447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 87c71cf1-2a92-483a-985d-f009ce7637b5 · outbound

This paper cites Fujino and Y.

Complexity one varieties are cluster type Fujino and Y

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.361339Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c68cf219-3bed-4aec-ba30-cba6f87b54e8 · outbound

This paper cites Fujino and Y.

Complexity one varieties are cluster type Fujino and Y

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.364586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a1563ec-8e9f-4a91-94f8-ea8c8246466d · outbound

This paper cites Gongyo, S.

Complexity one varieties are cluster type Gongyo, S

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.367927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bdcb2c5-4423-41d9-9c99-c9ff380e77ff · outbound

This paper cites Hausen and H.

Complexity one varieties are cluster type Hausen and H

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.371209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9300a658-0bfd-41ba-b9f0-a5ad6440e3b0 · outbound

This paper cites Hu and S.

Complexity one varieties are cluster type Hu and S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.374895Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a33bfa4-5677-4c31-95b5-19e3a24404ef · outbound

This paper cites Kawamata and S.

Complexity one varieties are cluster type Kawamata and S

Reference 20

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.524913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bfb1fe90-a1bf-40ef-991e-e49be7767ace · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.381921Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77597871-401a-4ed8-bd63-c5bd3fca0818 · outbound

This paper cites Koll´ ar.

Complexity one varieties are cluster type Koll´ ar

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.385174Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5375184b-3c0d-4fbf-bcd5-f3e51429ad62 · outbound

This paper cites Koll´ ar and S.

Complexity one varieties are cluster type Koll´ ar and S

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.388602Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 812c78cf-fb02-4c81-b6be-4ae5a854185a · outbound

This paper cites Laface, A.

Complexity one varieties are cluster type Laface, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T10:53:17.917583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8b5474a1-006c-4f47-9de6-5d546ecdd137 · outbound

This paper cites Lam and P.

Complexity one varieties are cluster type Lam and P

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.398434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e55edfc-abf6-4665-bbff-8aeeccbf76a3 · outbound

This paper cites Liendo and H.

Complexity one varieties are cluster type Liendo and H

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.401898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b863ac6-b638-41cd-b59b-5f3b2e065d9f · outbound

This paper cites Birational complexity and dual complexes.

Complexity one varieties are cluster type Birational complexity and dual complexes

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.405150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1871d42-a022-4cf1-883f-9816f19cffe9 · outbound

This paper cites On a toroidalization for klt singularities.

Complexity one varieties are cluster type On a toroidalization for klt singularities

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-16T10:53:17.680582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f96d6947-46dc-4e94-b093-6cc8c8253b32 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.411962Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f6e92b2-dc5a-42b8-99bd-64b10731adb4 · outbound

This paper cites Birational complexity of log Calabi-Yau 3-folds.

Complexity one varieties are cluster type Birational complexity of log Calabi-Yau 3-folds

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.415139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b508f44-3360-46cd-a048-e2edb75ace79 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.481865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7ffd0e6d-0f2b-448e-a654-b2d39b76dbe9 · outbound

This paper cites Calabi-Yau pairs of complexity two.

Complexity one varieties are cluster type Calabi-Yau pairs of complexity two

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.422134Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93568bb3-a2c3-4f54-8fa1-d12ae5df53ea · outbound

This paper cites Petersen and H.

Complexity one varieties are cluster type Petersen and H

Reference 33

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.471317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 97c0cf1a-1185-4fa9-a42f-cf41a932305a · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:53:17.907814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 29f0f046-1869-4574-9666-b58204ca6b35 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T10:53:17.898421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6eb3d9e7-f580-4d19-aeb4-95bbfdd6676a · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T10:53:17.435912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 761dcc30-768a-451e-85db-5cb65ea01220 · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 2008

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.584810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1f0eb402-f24f-425d-af4d-bfd82001b28b · outbound

This paper cites an unresolved cited work.

Complexity one varieties are cluster type Unresolved cited work

Reference 2019

Resolution: verified exact; doi, observed 2026-08-16T10:53:17.497874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 602e23d3-d567-408c-a6a2-4a2fb7f36273 · inbound

Calabi-Yau pairs of complexity two cites this paper.

Calabi-Yau pairs of complexity two Complexity one varieties are cluster type

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:37:03.419561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4a38cce7-24ce-41d6-820a-bf6c215da1ec · inbound

Bott-Chern complexity of K\"ahler pairs cites this paper.

Bott-Chern complexity of K\"ahler pairs Complexity one varieties are cluster type

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T23:45:08.610300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f49e448-f627-4bab-aa89-2a7f9aafe1f2 · inbound

Geometry of tropical mutation surfaces with a single mutation cites this paper.

Geometry of tropical mutation surfaces with a single mutation Complexity one varieties are cluster type

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T10:07:16.735313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.