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Paper Citation Record · LEDGER

A rationality criterion for real Fano threefolds

As of 23 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2507.04012.

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

pith.paper-citation-record.v1
2507.04012 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:04:14.306810Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

17 of 17 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation afeb18f6-d6a2-4600-b257-c2eafec71b1d · outbound

This paper cites an unresolved cited work.

A rationality criterion for real Fano threefolds Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:04:16.996419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:12.820373Z digest=sha256:fb1e61d55b2af7214137fbae08316146f34effba666b5cff2372ede1954781b3

Observation 229114d8-0d65-40f3-8da3-c194ace7e2ec · outbound

This paper cites On the rationality of some real threefolds.

A rationality criterion for real Fano threefolds On the rationality of some real threefolds

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:04:14.702528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.228021Z digest=sha256:de8d402bb96672da4e5b91c9cc2c53b9b17c0a22af562bd717d2fb193d9a6c05

Observation 95699f59-7e49-4650-b02b-5b129c0d37c3 · outbound

This paper cites Fano varieties in Mori fibre spaces.

A rationality criterion for real Fano threefolds Fano varieties in Mori fibre spaces

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:16.698020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.364289Z digest=sha256:33bd7fe2f9acd16053c5544006c49af41fe0ae16c86f0f11ad314c671da2eee1

Observation bcff3c0d-27b3-4fde-b5af-04e98e003b86 · outbound

This paper cites Gushel-Mukai varieties.

A rationality criterion for real Fano threefolds Gushel-Mukai varieties

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:13.594874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:13.594874Z digest=sha256:6be845ab7682ebbac879ecf1f591443a8313c4a26065449fb027e90463e89a51

Observation 2bd9480c-9ee4-4751-8e00-0f60c20d4ff4 · outbound

This paper cites Conic bundle threefolds differing by a constant Brauer class and connections to rationality.

A rationality criterion for real Fano threefolds Conic bundle threefolds differing by a constant Brauer class and connections to rationality

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:13.770985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:13.770985Z digest=sha256:d6fa66d58f30f35e84ca4a2a269a97ba76b52bbf98182aef3846919a1ed3f438

Observation e47862e6-e786-4832-8fdd-edeeff89da9a · outbound

This paper cites The topology of real algebraic varieties.

A rationality criterion for real Fano threefolds The topology of real algebraic varieties

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.998817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:14.007872Z digest=sha256:1cecf381a62f7fe1a2c578adc1ed324d00bda5e99b0920d2f006f01c33a94976

Observation 2ff94c63-e1b9-45a2-967f-eea7a8942cfa · outbound

This paper cites Certaines fibrations en surfaces quadriques r´ eelles.preprint, arXiv:2406.00463,.

A rationality criterion for real Fano threefolds Certaines fibrations en surfaces quadriques r´ eelles.preprint, arXiv:2406.00463,

Reference 1912

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:13.453822Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:13.453822Z digest=sha256:d87ce35131332bdec01226fc6fd95743b3b16e689bc20a531881f3dbd6e7c6c9

Observation 014a7cae-516b-4d82-8541-1e297e8da33a · outbound

This paper cites Rationality of real conic bundles with quartic discriminant curve.

A rationality criterion for real Fano threefolds Rationality of real conic bundles with quartic discriminant curve

Reference 1979

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:16.248479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.921517Z digest=sha256:06c1017e4a13c4bd59892555a0ee4dc67ec83132f7193641bfd1098535ef2c41

Observation 73c04c6f-735e-4300-8622-1e115807f375 · outbound

This paper cites Classification of Fano 3-folds with B2 ≥ 2.

A rationality criterion for real Fano threefolds Classification of Fano 3-folds with B2 ≥ 2

Reference 1986

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.440967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:14.217555Z digest=sha256:201d2e707dbe72b6087687c57f35848d45dad9df8aaba0732bea91a8cc3643b0

Observation 0908dbe0-05e4-46e4-be6f-0dba275ee710 · outbound

This paper cites Rationality of singular cubic threefolds over $\mathbb R$.

A rationality criterion for real Fano threefolds Rationality of singular cubic threefolds over $\mathbb R$

Reference 1987

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:13.517926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:13.517926Z digest=sha256:933e967138e46b657209bb896cfbdd26ecc37c249e5ca0b9e9b78446ab838a88

Observation c4d4a083-9e61-432f-aaa3-faf42ea7ef30 · outbound

This paper cites Addendum/Erratum to the paper "Weyl groups and Birational transformations among minimal models".

A rationality criterion for real Fano threefolds Addendum/Erratum to the paper "Weyl groups and Birational transformations among minimal models"

Reference 1995

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:14.149439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:14.149439Z digest=sha256:05009d376be12284ead5f0899ebec43d212f5da692fd0d948d798c43bef13d13

Observation ff580c7f-eec1-4367-bad8-57608cce6eda · outbound

This paper cites [FJ24] Sarah Frei and Lena Ji.

A rationality criterion for real Fano threefolds [FJ24] Sarah Frei and Lena Ji

Reference 2000

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:16.440030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.689280Z digest=sha256:f30b807480bc76a2d3c6208246f941dd3c5e1a3d986847202f6f3cabe1b77b1a

Observation 1b092924-9b88-40d1-8805-280e6d2bd883 · outbound

This paper cites Do uniruled six-manifolds contain Sol Lagrangian submanifolds? Int.

A rationality criterion for real Fano threefolds Do uniruled six-manifolds contain Sol Lagrangian submanifolds? Int

Reference 2003

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.151142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:14.306810Z digest=sha256:31367ee198ad58c90e159c6e1ca2594d0aab210f51c7476e0fab1b881aee8b61

Observation 1b7b3bd1-6719-4a93-9de3-c4aa6b712297 · outbound

This paper cites [Mat95] Kenji Matsuki.

A rationality criterion for real Fano threefolds [Mat95] Kenji Matsuki

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:04:15.730462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:14.079369Z digest=sha256:a4b699c8287eff19e00eccd83d9c9fdeb0758f6bc439edba683c5dfecdf1b94a

Observation d43bff23-7521-4867-8828-b0ea65edafd3 · outbound

This paper cites Rationality of Fano threefolds of degree 18 over nonclosed fields.

A rationality criterion for real Fano threefolds Rationality of Fano threefolds of degree 18 over nonclosed fields

Reference 2021

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T20:04:14.489917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.856695Z digest=sha256:2f46d54bb9245ad4ba4ebc58d26397dbde542f8bba17bb3f17453d1e3cf6546f

Observation 633c775f-a534-4efa-a2bc-a74f3facf669 · outbound

This paper cites K-stability of pointless del Pezzo surfaces and Fano 3-folds.

A rationality criterion for real Fano threefolds K-stability of pointless del Pezzo surfaces and Fano 3-folds

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-06T20:04:12.916481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:04:12.916481Z digest=sha256:27a3f5ca1ad48f94a3eb3cd34464cbf55e703d2860cbe977f29a1f701dc07ac5

Observation 0fbab595-aca1-42b7-ad84-3954997ada1e · outbound

This paper cites Smooth Fano 3-folds satisfying Condition (A).

A rationality criterion for real Fano threefolds Smooth Fano 3-folds satisfying Condition (A)

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-06T20:04:14.852755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T20:04:13.061783Z digest=sha256:8e2f2e56e37ab2757b60ea08844361d2f50842e83853570e1268a67d0d217576

Pith citing papers

No inbound Pith citation observations are available.