Pith Number

pith:2PZBMVH2

pith:2012:2PZBMVH2BSRUUHHHIODCJTN6DL

not attested not anchored not stored refs pending

Mean curvature and compactification of surfaces in a negatively curved Cartan-Hadamard manifold

Antonio Esteve, Vicente Palmer

arxiv:1206.6748 v1 · 2012-06-28 · 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{2PZBMVH2BSRUUHHHIODCJTN6DL}

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	2026-05-18T03:52:25.084211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f21654fa0ca34a1ce7438624cdbe1afa0ea4ee4837e481efd270da8275646b

Aliases

arxiv: 1206.6748 · arxiv_version: 1206.6748v1 · doi: 10.48550/arxiv.1206.6748 · pith_short_12: 2PZBMVH2BSRU · pith_short_16: 2PZBMVH2BSRUUHHH · pith_short_8: 2PZBMVH2

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/2PZBMVH2BSRUUHHHIODCJTN6DL \
  | 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: d3f21654fa0ca34a1ce7438624cdbe1afa0ea4ee4837e481efd270da8275646b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b9bec358e31e33fe58fa66caac0adb465a976ccb3fb408ee2e277da310005b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-06-28T16:05:06Z",
    "title_canon_sha256": "386bee431542a8c10ae0a9adfbc8c995d93390a90c6d8d42ea0d00f809c24116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.6748",
    "kind": "arxiv",
    "version": 1
  }
}