Pith Number

pith:2NJCOC6A

pith:2021:2NJCOC6AY2L3OX44M35NTYEPBY

not attested not anchored not stored refs pending

Riemannian metrics on the sphere with Zoll families of minimal hypersurfaces

Andr\'e Neves, Fernando C. Marques, Lucas Ambrozio

arxiv:2112.01448 v1 · 2021-12-02 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2NJCOC6AY2L3OX44M35NTYEPBY}

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.

Cited by

1 paper in Pith

The p-widths of $RP^2$

Receipt and verification

First computed	2026-07-05T03:37:09.514299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d352270bc0c697b75f9c66fad9e08f0e17e31d8aebe84c7d734e380799efdeac

Aliases

arxiv: 2112.01448 · arxiv_version: 2112.01448v1 · doi: 10.48550/arxiv.2112.01448 · pith_short_12: 2NJCOC6AY2L3 · pith_short_16: 2NJCOC6AY2L3OX44 · pith_short_8: 2NJCOC6A

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/2NJCOC6AY2L3OX44M35NTYEPBY \
  | 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: d352270bc0c697b75f9c66fad9e08f0e17e31d8aebe84c7d734e380799efdeac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ac16e6db59ca293bfd991801f98ea516d0b53f573e8fae931989f41c4195dd",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2021-12-02T17:43:39Z",
    "title_canon_sha256": "e7173749fe899cf4ab2e988bd5756bed83e2df0c72c757863abd2eff2ef420a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.01448",
    "kind": "arxiv",
    "version": 1
  }
}