Pith Number

pith:UUEOTGRS

pith:2015:UUEOTGRSNKDAY3PYCNSEMIGQOM

not attested not anchored not stored refs pending

Exhaustion of isoperimetric regions in asymptotically hyperbolic manifolds with scalar curvature $R\geq -6$

Bo Zhu, Dandan Ji, Yuguang Shi

arxiv:1512.02732 v2 · 2015-12-09 · 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{UUEOTGRSNKDAY3PYCNSEMIGQOM}

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	2026-05-18T01:09:41.998070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a508e99a326a860c6df813644620d07305cfd07a858e6d5c757a5f3ed010f957

Aliases

arxiv: 1512.02732 · arxiv_version: 1512.02732v2 · doi: 10.48550/arxiv.1512.02732 · pith_short_12: UUEOTGRSNKDA · pith_short_16: UUEOTGRSNKDAY3PY · pith_short_8: UUEOTGRS

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/UUEOTGRSNKDAY3PYCNSEMIGQOM \
  | 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: a508e99a326a860c6df813644620d07305cfd07a858e6d5c757a5f3ed010f957

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff3de373c8e1c7e43e562f92079d69d9743c16936ab6b4500d24bccdadcf883d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-09T02:55:29Z",
    "title_canon_sha256": "f7018ec7d8a00c0b568f427fc6061b181bc9c20e8ebd3de7762942f64b63ffd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02732",
    "kind": "arxiv",
    "version": 2
  }
}