Pith Number

pith:OE4KZOWI

pith:2012:OE4KZOWIR7VWVJE372L25GN3QZ

not attested not anchored not stored refs pending

Optimal isoperimetric inequalities for complete proper minimal submanifolds in hyperbolic space

Keomkyo Seo, Sung-Hong Min

arxiv:1201.2732 v1 · 2012-01-13 · 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{OE4KZOWIR7VWVJE372L25GN3QZ}

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	2026-05-18T04:04:43.219510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7138acbac88feb6aa49bfe97ae99bb867e7464e491893f91bf22331d668499dc

Aliases

arxiv: 1201.2732 · arxiv_version: 1201.2732v1 · doi: 10.48550/arxiv.1201.2732 · pith_short_12: OE4KZOWIR7VW · pith_short_16: OE4KZOWIR7VWVJE3 · pith_short_8: OE4KZOWI

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/OE4KZOWIR7VWVJE372L25GN3QZ \
  | 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: 7138acbac88feb6aa49bfe97ae99bb867e7464e491893f91bf22331d668499dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7471f45371c539453c01e3492e97894c8d158fff153d0ba1b90c4f3e1360341",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-01-13T02:42:06Z",
    "title_canon_sha256": "9dcab48382ebdafe6ed731e3139492f6814a0e5f0fd7ab8ce090a4656140a965"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2732",
    "kind": "arxiv",
    "version": 1
  }
}