Pith Number

pith:XQNNBF4U

pith:2013:XQNNBF4UZBS7ATM6NKLOSP5DD4

not attested not anchored not stored refs pending

Uniform approximation of the Cox-Ingersoll-Ross process

Grigori N. Milstein, John Schoenmakers

arxiv:1312.0876 v1 · 2013-12-03 · 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{XQNNBF4UZBS7ATM6NKLOSP5DD4}

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	2026-05-18T03:05:36.509406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc1ad09794c865f04d9e6a96e93fa31f15b52933e969121a70c796775c52c049

Aliases

arxiv: 1312.0876 · arxiv_version: 1312.0876v1 · doi: 10.48550/arxiv.1312.0876 · pith_short_12: XQNNBF4UZBS7 · pith_short_16: XQNNBF4UZBS7ATM6 · pith_short_8: XQNNBF4U

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/XQNNBF4UZBS7ATM6NKLOSP5DD4 \
  | 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: bc1ad09794c865f04d9e6a96e93fa31f15b52933e969121a70c796775c52c049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b37c0839a231a85ff1919dcaf7e7f25b11ede4156606ab92bd4c6db2cea4b37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-03T16:51:51Z",
    "title_canon_sha256": "662078d208fe5b2c048a03c36463085bd74ae0a6a1b2c44e66285cc8e9f88810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0876",
    "kind": "arxiv",
    "version": 1
  }
}