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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.711204Z digest=sha256:ace4e274550003b620c5286a4bf732ae39cfc89d402592a68494dad743e44202

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.700598Z digest=sha256:29a90e29613339812f11a5d0338fa11864c7e5468e3bba7ff7525025aaaa429f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.731028Z digest=sha256:5c1481b25832c38f463fb62e51434977d553eaaee319eaff030f9d8a52f0c6de

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.716107Z digest=sha256:aab5dc5edf9bb7460377f1326502d5cfa707d724a8e6cb21aa57deb496b0a36a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.721488Z digest=sha256:b314d5db5e6f5897a960841f39c77be9bd41ec864fa4aae5c1d9433fcbd28035

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

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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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.725666Z digest=sha256:eb7c333aaf722bdeab4a95977e7784f6ab142127943b6f7741c6d93e78253350

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.706564Z digest=sha256:762879252947a1c421359530fce987e9356e069a346b0ace3767fc46fe881e32

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.

source=pdf_text observed=2026-08-14T14:54:53.736409Z digest=sha256:3ed4789f9b87399ebbdc62a69cfdd4c508af7fc272c27b96f911e8dcd430afdb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.740717Z digest=sha256:d0f5c845ae8cc989ae5d1fa5c28e574d2f8f0f9d64dc1d09e053301df1a3df3d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.745313Z digest=sha256:31a0e37056144de6040dec2aca76a94a080d181e58eb40aea6d8e2a36f7d874c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.750444Z digest=sha256:4bc6a7bff0904f6b01c9330e3d49c7029f64dcc29fa5f3d57cc70fed96a6ce93

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.755184Z digest=sha256:1b7e704968ce102247fe63b7419f2c0bf76aec2512dc5142d94bf0e83a25a520

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.760189Z digest=sha256:307efc222eb113a984bce2c1b7f413e3b8d90cdc4acd0843ec1b10d335d9067f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.764803Z digest=sha256:0db3c428dbc74afe11afab53073b67679f10a15ecc2f0e085c3e799d890535dc

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.768811Z digest=sha256:49c6b670aa8526c604c71d27fa00a426d206ce31dd8982c5b79c9be75cf76224

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.772589Z digest=sha256:76a563b0c978dbd9e5eb8f137f4b1349e937d14ea42cb9dc4dc370c36c64f0c9

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.

source=pdf_text observed=2026-08-14T14:54:53.776143Z digest=sha256:46ba6a0480b96acc7456cf8bb0d3657d20419e214a8a4868815ae22568949743

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.780040Z digest=sha256:45741c2a77ded5cefbfc46326304b03d4521ac8f1c5485d640067315df640258

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:54:53.783488Z digest=sha256:785a188d329bab56b7e2f4f5ee6d2dd8ef4dc88b92d4f87abcd3c6391c4bc2df

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