Pith Number

pith:UMO7CNJE

pith:2013:UMO7CNJEUDLVY5MP6S4HD3T5ON

not attested not anchored not stored refs pending

Embedding Riemannian Manifolds by the Heat Kernel of the Connection Laplacian

Hau-Tieng Wu

arxiv:1305.4232 v2 · 2013-05-18 · math.DG · math.SP · math.ST · stat.ML · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMO7CNJEUDLVY5MP6S4HD3T5ON}

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	2026-05-18T00:35:18.913812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31df13524a0d75c758ff4b871ee7d7346d53fec9838ee2a481a551973ba5422

Aliases

arxiv: 1305.4232 · arxiv_version: 1305.4232v2 · doi: 10.48550/arxiv.1305.4232 · pith_short_12: UMO7CNJEUDLV · pith_short_16: UMO7CNJEUDLVY5MP · pith_short_8: UMO7CNJE

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/UMO7CNJEUDLVY5MP6S4HD3T5ON \
  | 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: a31df13524a0d75c758ff4b871ee7d7346d53fec9838ee2a481a551973ba5422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a0aac774c5ced50011ea9a2540d3b9b43dcd8f217884df40977a047162cce3d",
    "cross_cats_sorted": [
      "math.SP",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-18T06:17:39Z",
    "title_canon_sha256": "e6ae72591b21512697117ce0ecac764eafb4198d31e1cf0fee7ff1f31c28dda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4232",
    "kind": "arxiv",
    "version": 2
  }
}