Pith Number

pith:XLMR4Z2C

pith:2010:XLMR4Z2C6KXHZYUIVUGFAAYKPD

not attested not anchored not stored refs pending

Mimicking an It\^{o} process by a solution of a stochastic differential equation

Gerard Brunick, Steven Shreve

arxiv:1011.0111 v3 · 2010-10-30 · 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{XLMR4Z2C6KXHZYUIVUGFAAYKPD}

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	2026-05-18T03:17:57.712711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad91e6742f2ae7ce288ad0c50030a78d95f99c63c62ebaaae9d767f7e483848

Aliases

arxiv: 1011.0111 · arxiv_version: 1011.0111v3 · doi: 10.48550/arxiv.1011.0111 · pith_short_12: XLMR4Z2C6KXH · pith_short_16: XLMR4Z2C6KXHZYUI · pith_short_8: XLMR4Z2C

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/XLMR4Z2C6KXHZYUIVUGFAAYKPD \
  | 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: bad91e6742f2ae7ce288ad0c50030a78d95f99c63c62ebaaae9d767f7e483848

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99eab1473d17cb57eee207fdf4ee63596a9ae8be36258651983096933141c212",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-30T22:48:00Z",
    "title_canon_sha256": "d260925affc78e21a605c1a8086b08ee6fa1d1174fe67de5f3364badcdc1e9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0111",
    "kind": "arxiv",
    "version": 3
  }
}