Pith Number

pith:PTNRCHDI

pith:2012:PTNRCHDITUFFDNVPJX2KGL7W2N

not attested not anchored not stored refs pending

Statistical convergence of Markov experiments to diffusion limits

Enno Mammen, Jeannette Woerner, Valentin Konakov

arxiv:1201.6307 v2 · 2012-01-30 · math.ST · 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{PTNRCHDITUFFDNVPJX2KGL7W2N}

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	2026-05-18T02:56:21.504468Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cdb111c689d0a51b6af4df4a32ff6d3626bac913ae7835910db363e5a5857f2

Aliases

arxiv: 1201.6307 · arxiv_version: 1201.6307v2 · doi: 10.48550/arxiv.1201.6307 · pith_short_12: PTNRCHDITUFF · pith_short_16: PTNRCHDITUFFDNVP · pith_short_8: PTNRCHDI

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/PTNRCHDITUFFDNVPJX2KGL7W2N \
  | 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: 7cdb111c689d0a51b6af4df4a32ff6d3626bac913ae7835910db363e5a5857f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "509fa894daf27bc1c32cf878535b594bf9c04a3a42ad92571315c7bddbfe45eb",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-01-30T18:05:08Z",
    "title_canon_sha256": "21cd9ab535ad305b8dc8c784a6af05fbde7d13236030ef8a49dbd4f84bf9fd0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6307",
    "kind": "arxiv",
    "version": 2
  }
}