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Paper Citation Record · LEDGER

A rationality criterion for real Fano threefolds

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:12.820373Z digest=sha256:b2c99387bf0f1c5baa4dcaafaad4ec8959a542f9d1a904eda4b46b5ebfdc48e8

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.228021Z digest=sha256:7e5cfbbede6bb057df832f16a0c0bc550a55bc64e9369b538cbeb6bbcb852203

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.364289Z digest=sha256:6c78369ce7159a9a63bc50dd2b9af63f5f2e0ce3861769a9bcc9217c31d6d55a

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=sha256:631b8a93d831c986a113d6bb9fba67fdc6919f75582e706419022f9edef1be46

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:b926f239808502b562bd069081de08a2d6d24ff0733d2f12bd3cd3a194650309

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:14.007872Z digest=sha256:c5f022372b59f06904808031367bd52d64bb9684b37907e13e49644b48c4ccc3

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:f1bce3184c2b6efe9310a9591ad9712f7fa185df96bc45668db2dc8d0746be68

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.921517Z digest=sha256:897a5901f428ec8713ca22ab3cba0e67faf72c3d433a0745268dea5f0453e75a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:14.217555Z digest=sha256:3da41ab0fdeffaa96d640803dcb70eba0d2d021952a18c868839e19a3f48720e

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:ce7d51b1fcf1f2756ded9211a2cec0ba37434b6a2809f21285bb36b5aa956062

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=sha256:805e0585818dd06bdbdc8d92b7c7132dbf80cf95406a5637f4f1d388cc9968b9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.689280Z digest=sha256:9641bd88a251e5dbcdc2eba5ad230be18617c5d5f2b3752800b3997b36626753

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:14.306810Z digest=sha256:a437172bb697cb6a7bd0e867e82f2f1da287d700182ca0a0b0002eb44f876edd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:14.079369Z digest=sha256:ab0d6a146c80a7c5174e7e9141bd6ebde2be8a5cecc599a10c3efb7f975f10b3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.856695Z digest=sha256:635fc472113c4ef3ad64272a0695a33460614dfec495a48218a38dbe525bfac7

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:a941f66141f13bf6d6b8b60ce44c994c079e0c49ea3b3ed33b59f2932dc2c9f1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T20:04:13.061783Z digest=sha256:dd3aa68d7bcfcc142254d045d9e3fd13784e14e73fb806bd26bba0a756a9e3f6

Pith citing papers

No inbound Pith citation observations are available.