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Paper Citation Record · LEDGER

On the Nef cones of blowups of the projective plane

As of 22 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2412.15460.

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

pith.paper-citation-record.v1
2412.15460 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:41:17.402101Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:13:27.359922Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T16:45:50.841524Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact4
  • verified fuzzy2
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fec22889-c0fd-45a7-866a-1632fc205e2a · outbound

This paper cites an unresolved cited work.

On the Nef cones of blowups of the projective plane Unresolved cited work

Reference 1

Resolution
verified exact
doi, observed 2026-08-11T11:41:17.545057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.337404Z digest=sha256:0202e72a4f896a9b6ec79caca886a2aba0e8c05644144a7c2eafe6325451d09c

Observation c0c6b4fc-9d39-436f-aff1-ff2500dee714 · outbound

This paper cites Birkar, P.

On the Nef cones of blowups of the projective plane Birkar, P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.343364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.343364Z digest=sha256:97d147072efbe348781d01802ee77ddb8889f5f62d009571655f087623511f18

Observation 81eda740-931d-4472-882d-c411db31f467 · outbound

This paper cites de Fernex.

On the Nef cones of blowups of the projective plane de Fernex

Reference 3

Resolution
verified exact
doi, observed 2026-08-11T11:41:17.514894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.348624Z digest=sha256:7532903551364934caf50c0bb0a3cc16873c5d9082dc646b8b3b75a7d31cf81a

Observation 6ced2739-bee2-415a-a7f8-90ee93aa543d · outbound

This paper cites de Fernex.

On the Nef cones of blowups of the projective plane de Fernex

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:41:17.636127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.353757Z digest=sha256:82559019f00b6550459a29f2bff287b3bb49af309f78c162d962b66ae3f1bdf8

Observation 17addcaf-d002-4560-b3d0-98fe44ed69b5 · outbound

This paper cites an unresolved cited work.

On the Nef cones of blowups of the projective plane Unresolved cited work

Reference 5

Resolution
verified exact
doi, observed 2026-08-11T11:41:17.494852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.360496Z digest=sha256:ece97aaece05e5a407be9f4deb96717038df3851cec32a8ae40213780d321a14

Observation a41003d1-8995-4a39-b2f2-69882f58a1b1 · outbound

This paper cites Grassi and D.

On the Nef cones of blowups of the projective plane Grassi and D

Reference 6

Resolution
verified exact
doi, observed 2026-08-11T11:41:17.475860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.365504Z digest=sha256:01562697625ddddafc9a80be87bb6c62ed50364cda647ba40caa80a17d6926c2

Observation 5e3a51d4-a804-4cb1-82fe-b9d68a102950 · outbound

This paper cites Kawamata.

On the Nef cones of blowups of the projective plane Kawamata

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.371068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.371068Z digest=sha256:fdc04eee0d613a4293e6348da752c469ece6de81d690e3baad6a8992a84f54bd

Observation 41bdc926-b7c9-488e-ab09-d319c23d9b46 · outbound

This paper cites Compactifications of moduli spaces inspired by mirror symmetry.

On the Nef cones of blowups of the projective plane Compactifications of moduli spaces inspired by mirror symmetry

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.375880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.375880Z digest=sha256:0b54082d1536d22e0b4254718aba5fbdbcea087077f839cf8090c5c0a245abdf

Observation 3972cbec-0a5e-4b05-a927-2a3a5a70dc13 · outbound

This paper cites Beyond the K\"ahler cone.

On the Nef cones of blowups of the projective plane Beyond the K\"ahler cone

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.381192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.381192Z digest=sha256:52beef6688a9d509eb962d10fe3d299817a76f3a4d5705e76937f1d806d85bda

Observation 54c17897-479c-49ee-bb91-47490523a563 · outbound

This paper cites Namikawa.

On the Nef cones of blowups of the projective plane Namikawa

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:41:17.619874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.386335Z digest=sha256:bc8b5a2fca59ee01b0a464df8040985d44ebbc8652e4861d7059dd6f28fee8b6

Observation c8d8e597-15da-4bce-b6f5-580a31f1c498 · outbound

This paper cites an unresolved cited work.

On the Nef cones of blowups of the projective plane Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:41:17.602998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-11T11:41:17.391048Z digest=sha256:cf43db706b194f07190bc7fbfe52b164abff1f02a49ea7f63b988efca437c589

Observation 57762816-0296-49f0-b606-6b3ab0ac3f08 · outbound

This paper cites an unresolved cited work.

On the Nef cones of blowups of the projective plane Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.396421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.396421Z digest=sha256:18d9c0f84a16d45ac221d4f4cfdca969526774ee51bb45ab0d6de51d340fa37f

Observation 9cd03f30-7517-4ab8-8f43-7eb5cc276dc1 · outbound

This paper cites an unresolved cited work.

On the Nef cones of blowups of the projective plane Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-11T11:41:17.402101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T11:41:17.402101Z digest=sha256:efe6d978a59483634ac492883abfcf0749d9464f134c93694df625e9f865e33c

Pith citing papers

Observation d0fc547c-a03f-4c3f-9768-cf3165b29289 · inbound

Blowups, Gale duality, and moduli spaces cites this paper.

Blowups, Gale duality, and moduli spaces On the Nef cones of blowups of the projective plane

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T16:45:50.843409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-07-01T16:36:20.097861Z digest=sha256:7490f54db5aea65c12252770a4376b18537dfe86f25634ea8bc12cec2e7a9e5b

Observation 1d211a83-dbbc-4e1f-8cdf-6a44652cf8cd · inbound

Blowups, Gale duality, and moduli spaces cites this paper.

Blowups, Gale duality, and moduli spaces On the Nef cones of blowups of the projective plane

Reference 210

Resolution
unresolved
no resolver link, observed 2026-08-02T13:13:27.359922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:13:27.359922Z digest=sha256:931f72c1f281286da93e86a5c9e4f975a5e34bf579201f4fc19935cd184a1aa3