Pith Number

pith:YDKICYKU

pith:2014:YDKICYKUH3XYGRJSZTE4ZNJVPP

not attested not anchored not stored refs pending

A coupling approach to Doob's theorem

Alexei Kulik, Michael Scheutzow

arxiv:1407.8353 v1 · 2014-07-31 · 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{YDKICYKUH3XYGRJSZTE4ZNJVPP}

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	2026-05-18T02:46:05.347229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0d48161543eef834532ccc9ccb5357bf66b1ae9b5945683ebc7163db54a8766

Aliases

arxiv: 1407.8353 · arxiv_version: 1407.8353v1 · doi: 10.48550/arxiv.1407.8353 · pith_short_12: YDKICYKUH3XY · pith_short_16: YDKICYKUH3XYGRJS · pith_short_8: YDKICYKU

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/YDKICYKUH3XYGRJSZTE4ZNJVPP \
  | 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: c0d48161543eef834532ccc9ccb5357bf66b1ae9b5945683ebc7163db54a8766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b287f055dd6de0611bf23eb1b817262c67ca861dd71bb35cb3caf7a830e9adb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-31T10:48:50Z",
    "title_canon_sha256": "4b5fe7ce9d95e4eb24b01bd8b45e18679c146b88c296da350afc6c0c1bc5a8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.8353",
    "kind": "arxiv",
    "version": 1
  }
}