Pith Number

pith:WXB7DJKD

pith:2011:WXB7DJKDWRJ7YVFCDIOEND6WVZ

not attested not anchored not stored refs pending

On truncated variation, upward truncated variation and downward truncated variation for diffusions

Piotr Mi{\l}o\'s, Rafa{\l} M. {\L}ochowski

arxiv:1109.0043 v2 · 2011-08-31 · 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{WXB7DJKDWRJ7YVFCDIOEND6WVZ}

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	2026-05-18T03:42:21.548532Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5c3f1a543b453fc54a21a1c468fd6ae429b13fd18bbd17d51fec422d4d282fe

Aliases

arxiv: 1109.0043 · arxiv_version: 1109.0043v2 · doi: 10.48550/arxiv.1109.0043 · pith_short_12: WXB7DJKDWRJ7 · pith_short_16: WXB7DJKDWRJ7YVFC · pith_short_8: WXB7DJKD

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/WXB7DJKDWRJ7YVFCDIOEND6WVZ \
  | 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: b5c3f1a543b453fc54a21a1c468fd6ae429b13fd18bbd17d51fec422d4d282fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ecebe2929352689a331461309b4ab1a53937cef207a570939ec2e2639b28e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-31T22:05:28Z",
    "title_canon_sha256": "d2d365e104a4509225fd2d60f505366e95dac70c20435e210172129bfe71d64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0043",
    "kind": "arxiv",
    "version": 2
  }
}