Pith. sign in

Paper Citation Record · LEDGER

A rationality criterion for real Fano threefolds

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:12.820373Z digest=sha256:783b2670ab1db7e4b8dbe3cc449a34eb3b0970eee4898d5d3a6dddad1514468b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.228021Z digest=sha256:9a6a672060a65a56763712aeeeefb57546a8f6d8ce2cbffcd3eb5b852f7c0cb1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.364289Z digest=sha256:e1b8863d43c0e2d9f83aca7031d66bdc2bb5b54953029462821692852160fe38

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=sha256:6dd7fc482343c7a80d9bd108be52848720452523913157eeaaf4ff370b426fd7

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=sha256:55bc20c04322fceb28177a8de76c3a6ef258c64a624b39f5eba9714b1fd5e74c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:14.007872Z digest=sha256:02a5845fc025694cbac5cae4d55ae9bb88dae30c3aecb04684a357438ad8f708

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=sha256:7e7ed19caae2508e76907ae1e53ffe9c8a210095e1c7d5d148656cc0ec76b926

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.921517Z digest=sha256:1f44911403ebd61d93739ba579f697e43b84cd30959e29a24f7d0a627274e22d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:14.217555Z digest=sha256:bf3b82240eba45e04a1b2bf4b2799f4b49d59ec2c4c2b8d206d64e44b6481fdd

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=sha256:556b7f6b7617671080ef7e43704dd203b7933178f334db401876ed7c2d08eed8

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=sha256:1999b55b262c827cbb0995908c82ca291b134fcefc27a2d4d309d814c68b6dff

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.689280Z digest=sha256:790be4f8568af4b8e151344fcf0c654cf8e0c89b56c2596fa68635ff80d4a556

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:14.306810Z digest=sha256:59090f8634fff3ca26f097f9a71e2054da438056a71b064473b9c8d7347d240c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:14.079369Z digest=sha256:983f90c9918c654f42ad77ac4fd4eebeee12da5d661c6a7baff6f135925677ae

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.856695Z digest=sha256:e3c34f8427767b9d2e4aa8db880111e362942ffbdae4668893ab7898c3b2c96b

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:f5ab043eb950a6a15b334eaffb3404c1f921350f9f785f458ef19e0f73df8cc7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:04:13.061783Z digest=sha256:63b09f4e647fb6d4b27b67f079ffbdc62725a5e2decafe67c01c4b8d46925399

Pith citing papers

No inbound Pith citation observations are available.