Pith Number

pith:J5Y5D2LJ

pith:2010:J5Y5D2LJHLDLRR2JE2A752EW5H

not attested not anchored not stored refs pending

Relating diameter and mean curvature for Riemannian submanifolds

Jia-Yong Wu, Yu Zheng

arxiv:1001.3463 v2 · 2010-01-20 · 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{J5Y5D2LJHLDLRR2JE2A752EW5H}

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	2026-05-18T04:39:00.170219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f71d1e9693ac6b8c7492681fee896e9dce1369f4165344ce03d2c075a4929ae

Aliases

arxiv: 1001.3463 · arxiv_version: 1001.3463v2 · doi: 10.48550/arxiv.1001.3463 · pith_short_12: J5Y5D2LJHLDL · pith_short_16: J5Y5D2LJHLDLRR2J · pith_short_8: J5Y5D2LJ

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/J5Y5D2LJHLDLRR2JE2A752EW5H \
  | 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: 4f71d1e9693ac6b8c7492681fee896e9dce1369f4165344ce03d2c075a4929ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db658d4047fad4936f3c160a97b5fb54d88a509c03baf93a95e5d14f1e171a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-01-20T05:58:26Z",
    "title_canon_sha256": "147b42734eaf290b01065d5858adb01f4c89fbe61aed91ee491ba9bea886deeb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3463",
    "kind": "arxiv",
    "version": 2
  }
}