Pith Number

pith:J763QG5Q

pith:2025:J763QG5Q64YGTKSLIQLC4E67FM

not attested not anchored not stored refs resolved

Every projective Oka manifold is elliptic

Finnur Larusson, Franc Forstneric

Every projective Oka manifold is elliptic in Gromov's sense.

arxiv:2502.20028 v6 · 2025-02-27 · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J763QG5Q64YGTKSLIQLC4E67FM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We show that every projective Oka manifold is elliptic in the sense of Gromov. This gives an affirmative answer to a long-standing open question.

C2weakest assumption

The implication depends on the standard definitions and prior results about Oka manifolds and Gromov ellipticity being compatible in the projective setting, as invoked implicitly by the statement (abstract).

C3one line summary

Every projective Oka manifold is elliptic.

References

32 extracted · 32 resolved · 0 Pith anchors

[1] A. Alarc ´on, F. Forstneriˇc, and F. L´arusson. Isotopies of complete minimal surfaces of finite total curvature. Preprint, arXiv:2406.04767 [math.DG] (2024), 2024 2024

[2] R. B. Andrist, N. Shcherbina, and E. F. Wold. The Hartogs extension theorem for holomorphic vector bundles and sprays. Ark. Mat., 54(2):299–319, 2016 2016

[3] I. Arzhantsev, S. Kaliman, and M. Zaidenberg. Varieties covered by affine spaces, uniformly rational varieties and their cones. Adv. Math., 437:18, 2024. Id/No 109449 2024

[4] J. Banecki. Retract rational varieties are uniformly retract rational. Preprint, arXiv:2411.17892 [math.AG] (2024), 2024 2024

[5] W. P. Barth, K. Hulek, C. A. M. Peters, and A. Van de Ven. Compact complex surfaces , volume 4 of Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge. Springer-Verlag, Berlin, second edition, 2 2004

Receipt and verification

First computed	2026-06-01T01:03:39.729372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ffdb81bb0f73069aa4b44162e13df2b135e3f45880b792087251b06cc81250e

Aliases

arxiv: 2502.20028 · arxiv_version: 2502.20028v6 · doi: 10.48550/arxiv.2502.20028 · pith_short_12: J763QG5Q64YG · pith_short_16: J763QG5Q64YGTKSL · pith_short_8: J763QG5Q

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/J763QG5Q64YGTKSLIQLC4E67FM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4ffdb81bb0f73069aa4b44162e13df2b135e3f45880b792087251b06cc81250e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27804de8b2c1805e5eaf10bb78edbdb7cf1d5af5388dd2918782c50d1a190d65",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2025-02-27T12:11:15Z",
    "title_canon_sha256": "c6f9515e68c88170028913c54663b27db5f812c597358ec9b587c9344089b7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.20028",
    "kind": "arxiv",
    "version": 6
  }
}