Pith Number

pith:3YQMFU2H

pith:2010:3YQMFU2H4HRYVVGR7NZOW453XD

not attested not anchored not stored refs pending

Multivariate supOU processes

Ole Eiler Barndorff-Nielsen, Robert Stelzer

arxiv:1101.0068 v1 · 2010-12-30 · 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{3YQMFU2H4HRYVVGR7NZOW453XD}

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	2026-05-18T04:32:11.099227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de20c2d347e1e38ad4d1fb72eb73bbb8d82d859fe12bc30b06938bfbce20fabb

Aliases

arxiv: 1101.0068 · arxiv_version: 1101.0068v1 · doi: 10.48550/arxiv.1101.0068 · pith_short_12: 3YQMFU2H4HRY · pith_short_16: 3YQMFU2H4HRYVVGR · pith_short_8: 3YQMFU2H

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/3YQMFU2H4HRYVVGR7NZOW453XD \
  | 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: de20c2d347e1e38ad4d1fb72eb73bbb8d82d859fe12bc30b06938bfbce20fabb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd8d0f2984e9ae1f0b7481f82fb3da321e009c7e76706aea9d8ec99ee25708c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-30T11:20:44Z",
    "title_canon_sha256": "ee24c6ca1b7ff2f0c19d8fc1cdd784c26e5e3cb5be21c162d5f85a4cff69cd1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0068",
    "kind": "arxiv",
    "version": 1
  }
}