Pith Number

pith:XMDELLIG

pith:2012:XMDELLIGYUPDYGO4L2OKN6LL7R

not attested not anchored not stored refs pending

On stable compact minimal submanifolds of Riemannian product manifolds

Hang Chen, Xianfeng Wang

arxiv:1209.6400 v1 · 2012-09-28 · 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{XMDELLIGYUPDYGO4L2OKN6LL7R}

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	2026-05-18T03:44:33.021681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb0645ad06c51e3c19dc5e9ca6f96bfc4f843bd01b0d3fdf81669a77f8584383

Aliases

arxiv: 1209.6400 · arxiv_version: 1209.6400v1 · doi: 10.48550/arxiv.1209.6400 · pith_short_12: XMDELLIGYUPD · pith_short_16: XMDELLIGYUPDYGO4 · pith_short_8: XMDELLIG

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/XMDELLIGYUPDYGO4L2OKN6LL7R \
  | 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: bb0645ad06c51e3c19dc5e9ca6f96bfc4f843bd01b0d3fdf81669a77f8584383

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23381bd5f0cde57f89326c0d6b49a0f13a98ae59ce2b95a6accd959c5107251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-28T00:51:06Z",
    "title_canon_sha256": "42f8b6faf18095dccb25c234c74af136fd4519dbecebcdcd2fa3317bbba14742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6400",
    "kind": "arxiv",
    "version": 1
  }
}