Pith Number

pith:QOXMMBZE

pith:2012:QOXMMBZEME2X4OKQ3YDLCLFEF3

not attested not anchored not stored refs pending

A sharp height estimate for compact hypersurfaces with constant $k$-mean curvature in warped product spaces

Debora Impera, Marco Rigoli, Sandra C. Garc\'ia-Mart\'inez

arxiv:1205.5628 v2 · 2012-05-25 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QOXMMBZEME2X4OKQ3YDLCLFEF3}

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.

Receipt and verification

First computed	2026-05-18T03:19:13.419584Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83aec6072461357e3950de06b12ca42ecec43afaa0a82e9e8b174407409b6b38

Aliases

arxiv: 1205.5628 · arxiv_version: 1205.5628v2 · doi: 10.48550/arxiv.1205.5628 · pith_short_12: QOXMMBZEME2X · pith_short_16: QOXMMBZEME2X4OKQ · pith_short_8: QOXMMBZE

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/QOXMMBZEME2X4OKQ3YDLCLFEF3 \
  | 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: 83aec6072461357e3950de06b12ca42ecec43afaa0a82e9e8b174407409b6b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c60037420cd280abc03b6553520e5e74592239da102f84f622efbb06614b1726",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-05-25T08:13:11Z",
    "title_canon_sha256": "8592c273c6b992ab91f4ef8e35c46cbf4714e784e8ddc5fd17671927e3ccb325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5628",
    "kind": "arxiv",
    "version": 2
  }
}