Pith Number

pith:2WQWIXCS

pith:2010:2WQWIXCSAST2XWKY7ZGA4RHKF2

not attested not anchored not stored refs pending

A new formula for some linear stochastic equations with applications

Marc Yor, Offer Kella

arxiv:1009.3373 v1 · 2010-09-17 · 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{2WQWIXCSAST2XWKY7ZGA4RHKF2}

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	2026-05-18T01:04:58.385655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5a1645c5204a7abd958fe4c0e44ea2ea36609fe071977800c843448201d9afa

Aliases

arxiv: 1009.3373 · arxiv_version: 1009.3373v1 · doi: 10.48550/arxiv.1009.3373 · pith_short_12: 2WQWIXCSAST2 · pith_short_16: 2WQWIXCSAST2XWKY · pith_short_8: 2WQWIXCS

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/2WQWIXCSAST2XWKY7ZGA4RHKF2 \
  | 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: d5a1645c5204a7abd958fe4c0e44ea2ea36609fe071977800c843448201d9afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15838951541f566173147a4d75fa39327ed0898e5ddc8bc0f2a5f0847d2f7313",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-17T09:08:25Z",
    "title_canon_sha256": "291b7eda1b50b3df1385f54158acb3b1a69a6e6dba544cfb6afb424e6b15e48c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.3373",
    "kind": "arxiv",
    "version": 1
  }
}