Paper Citation Record · LEDGER

Fano hypersurfaces with arbitrarily large degrees of irrationality

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.02803.

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

pith.paper-citation-record.v1
1908.02803 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:54:53.783488Z

measured 19 of 19 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

19 of 19 outbound references displayed

verified exact0
verified fuzzy14
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9836a2d0-3c0d-4482-b9ff-66e27ca99d77 · outbound

This paper cites Let T = Spec(A) be the spectrum of a DVR with uniformizer t , fraction ﬁeld η = Frac(A), and residue ﬁeld κ = A/t.

Fano hypersurfaces with arbitrarily large degrees of irrationality Let T = Spec(A) be the spectrum of a DVR with uniformizer t , fraction ﬁeld η = Frac(A), and residue ﬁeld κ = A/t

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.052634Z

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.

Observation e7ab9662-0ef0-47ce-aa50-270cd7b1ffae · outbound

This paper cites how irrational.

Fano hypersurfaces with arbitrarily large degrees of irrationality how irrational

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.087618Z

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.

Observation 1494c94f-f3c9-462a-8d64-abcbd87ec6f1 · outbound

This paper cites B/i.sc/r.sc/k.sc/a.sc/r.sc, The Iitaka conjecture C n,m in dimension six, Compositio Mathematica, 145 (2009), pp.

Fano hypersurfaces with arbitrarily large degrees of irrationality B/i.sc/r.sc/k.sc/a.sc/r.sc, The Iitaka conjecture C n,m in dimension six, Compositio Mathematica, 145 (2009), pp

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.002265Z

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.

Observation 006280c5-4a8b-4555-b668-d1f057281916 · outbound

This paper cites For a hypersurface X ⊂ Pn+1 of degree d , recall from the introduction that the codegree of X is e := n + 2 − d.

Fano hypersurfaces with arbitrarily large degrees of irrationality For a hypersurface X ⊂ Pn+1 of degree d , recall from the introduction that the codegree of X is e := n + 2 − d

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.032290Z

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.

Observation 94967b9a-9348-4441-9c12-7418421f7837 · outbound

This paper cites B/a.sc/s.sc/t.sc/i.sc/a.sc/n.sc/e.sc/l.sc/l.sc/i.sc, P.

Fano hypersurfaces with arbitrarily large degrees of irrationality B/a.sc/s.sc/t.sc/i.sc/a.sc/n.sc/e.sc/l.sc/l.sc/i.sc, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.013743Z

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.

Observation 11e651a1-ff53-46e6-b21e-2e9f247258bd · outbound

This paper cites Linear subspaces of hypersurfaces.

Fano hypersurfaces with arbitrarily large degrees of irrationality Linear subspaces of hypersurfaces

Reference 6

Resolution: metadata mismatch; local_arxiv, observed 2026-08-14T14:54:53.858811Z

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.

Observation b21748b6-4779-40fe-8777-04eb0583dba1 · outbound

This paper cites Nicaise and Shind er [ 12] (resp.

Fano hypersurfaces with arbitrarily large degrees of irrationality Nicaise and Shind er [ 12] (resp

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:54.070957Z

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.

Observation ea3142cd-efd9-4c27-bcbe-f7573ecd748e · outbound

This paper cites Degree of irrationality of very general abelian surfaces.

Fano hypersurfaces with arbitrarily large degrees of irrationality Degree of irrationality of very general abelian surfaces

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T14:54:53.736409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0cc84db1-07ad-4374-b3bc-48da211ccec0 · outbound

This paper cites an unresolved cited work.

Fano hypersurfaces with arbitrarily large degrees of irrationality Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:54:53.989556Z

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.

Observation 1441acd3-9418-4f0b-acb0-9e13fbc45a83 · outbound

This paper cites an unresolved cited work.

Fano hypersurfaces with arbitrarily large degrees of irrationality Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T14:54:53.977457Z

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.

Observation 30bcdf43-60ee-441d-ac9c-44e0610f8d91 · outbound

This paper cites H/a.sc/s.sc/s.sc/e.sc/t.sc/t.sc, A.

Fano hypersurfaces with arbitrarily large degrees of irrationality H/a.sc/s.sc/s.sc/e.sc/t.sc/t.sc, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.965006Z

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.

Observation 5f6d99c9-1d0c-46c3-ad0f-03afa3544688 · outbound

This paper cites K/o.sc/l.sc/l.sc/aacute.sc/r.sc, Nonrational hypersurfaces, J.

Fano hypersurfaces with arbitrarily large degrees of irrationality K/o.sc/l.sc/l.sc/aacute.sc/r.sc, Nonrational hypersurfaces, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.951340Z

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.

Observation 19c94794-4cfa-4261-904f-a98a39f95ed2 · outbound

This paper cites 32 of Ergebnisse der Mathematik und ihrer Grenzgebiet e, Springer-V erlag, Berlin, 1996.

Fano hypersurfaces with arbitrarily large degrees of irrationality 32 of Ergebnisse der Mathematik und ihrer Grenzgebiet e, Springer-V erlag, Berlin, 1996

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.938219Z

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.

Observation 6f00278c-458c-4fc5-9e08-d59bdc001bbd · outbound

This paper cites 200, Cambridge University Press, 2013.

Fano hypersurfaces with arbitrarily large degrees of irrationality 200, Cambridge University Press, 2013

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.923720Z

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.

Observation cae74979-85dd-4ca5-9d2b-668871099171 · outbound

This paper cites K/o.sc/n.sc/t.sc/s.sc/e.sc/v.sc/i.sc/c.sc/h.sc /a.sc/n.sc/d.sc Y.

Fano hypersurfaces with arbitrarily large degrees of irrationality K/o.sc/n.sc/t.sc/s.sc/e.sc/v.sc/i.sc/c.sc/h.sc /a.sc/n.sc/d.sc Y

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.912561Z

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.

Observation 60135f18-2497-4237-a65d-84c4e562dcdd · outbound

This paper cites N/i.sc/c.sc/a.sc/i.sc/s.sc/e.sc /a.sc/n.sc/d.sc E.

Fano hypersurfaces with arbitrarily large degrees of irrationality N/i.sc/c.sc/a.sc/i.sc/s.sc/e.sc /a.sc/n.sc/d.sc E

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.901054Z

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.

Observation f040e894-22dc-4b62-a030-cb8d4debba55 · outbound

This paper cites Stably irrational hypersurfaces of small slopes.

Fano hypersurfaces with arbitrarily large degrees of irrationality Stably irrational hypersurfaces of small slopes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T14:54:53.776143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddf75dcc-4f7c-4224-b3c4-07475fb79cb4 · outbound

This paper cites T/o.sc/t.sc/a.sc/r.sc/o.sc, Hypersurfaces that are not stably rational , J.

Fano hypersurfaces with arbitrarily large degrees of irrationality T/o.sc/t.sc/a.sc/r.sc/o.sc, Hypersurfaces that are not stably rational , J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.889542Z

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.

Observation 8c97b711-0e0a-4d4f-afaa-7652af9a301c · outbound

This paper cites V/i.sc/a.sc/l.sc, Algebraic cycles and ﬁbrations , Doc.

Fano hypersurfaces with arbitrarily large degrees of irrationality V/i.sc/a.sc/l.sc, Algebraic cycles and ﬁbrations , Doc

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:54:53.877354Z

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.

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