Pith Number

pith:BBWOWNNO

pith:2012:BBWOWNNO6Y4TJKOKSOUP72M2BL

not attested not anchored not stored refs pending

Diffusion semigroup on manifolds with time-dependent metrics

Li-Juan Cheng

arxiv:1211.3621 v3 · 2012-11-15 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBWOWNNO6Y4TJKOKSOUP72M2BL}

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	2026-05-18T00:37:57.745612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

086ceb35aef63934a9ca93a8ffe99a0af514e6886315fc0c7d52bf86c0969d37

Aliases

arxiv: 1211.3621 · arxiv_version: 1211.3621v3 · doi: 10.48550/arxiv.1211.3621 · pith_short_12: BBWOWNNO6Y4T · pith_short_16: BBWOWNNO6Y4TJKOK · pith_short_8: BBWOWNNO

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/BBWOWNNO6Y4TJKOKSOUP72M2BL \
  | 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: 086ceb35aef63934a9ca93a8ffe99a0af514e6886315fc0c7d52bf86c0969d37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56081916d45029e2f4da1888fd252891aa66ef32840a037b123d69b8ae8aa7fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-15T14:53:04Z",
    "title_canon_sha256": "1be8f29fb9e40cb15097efc7d4738642b433ddf1765ace13d7d937baf2a4094b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3621",
    "kind": "arxiv",
    "version": 3
  }
}