Pith Number

pith:KKGM6QP4

pith:2019:KKGM6QP4KZUPBMF72K5P25A6H7

not attested not anchored not stored refs pending

Elliptic special Weingarten surfaces of minimal type in $\mathbb{R}^3$ of finite total curvature

H\'eber Mesa, Jos\'e M. Espinar

arxiv:1907.09122 v1 · 2019-07-22 · 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{KKGM6QP4KZUPBMF72K5P25A6H7}

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	2026-05-17T23:40:00.061196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528ccf41fc5668f0b0bfd2bafd741e3ff124a280c0a9dfab00ed1b9cfe66ee78

Aliases

arxiv: 1907.09122 · arxiv_version: 1907.09122v1 · doi: 10.48550/arxiv.1907.09122 · pith_short_12: KKGM6QP4KZUP · pith_short_16: KKGM6QP4KZUPBMF7 · pith_short_8: KKGM6QP4

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/KKGM6QP4KZUPBMF72K5P25A6H7 \
  | 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: 528ccf41fc5668f0b0bfd2bafd741e3ff124a280c0a9dfab00ed1b9cfe66ee78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a25fcda381cb015369893b8def623291b2ddf3be33c7506aa57c913dc4949e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-22T03:49:58Z",
    "title_canon_sha256": "6c82659c5d2e2e220e9be692c2e2df1901d026180a64c42fae238ffea4b47d43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09122",
    "kind": "arxiv",
    "version": 1
  }
}