Pith Number

pith:UPDXDAXY

pith:2019:UPDXDAXY3NVGHZRNZEOELTHTTV

not attested not anchored not stored refs pending

Signature Cumulants, Ordered Partitions, and Independence of Stochastic Processes

Harald Oberhauser, Patric Bonnier

arxiv:1908.06496 v2 · 2019-08-18 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UPDXDAXY3NVGHZRNZEOELTHTTV}

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	2026-07-05T01:32:41.519185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3c77182f8db6a63e62dc91c45ccf39d4a17ab0bf7073eb93670e3faaddd356c

Aliases

arxiv: 1908.06496 · arxiv_version: 1908.06496v2 · doi: 10.48550/arxiv.1908.06496 · pith_short_12: UPDXDAXY3NVG · pith_short_16: UPDXDAXY3NVGHZRN · pith_short_8: UPDXDAXY

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/UPDXDAXY3NVGHZRNZEOELTHTTV \
  | 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: a3c77182f8db6a63e62dc91c45ccf39d4a17ab0bf7073eb93670e3faaddd356c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a252c35a331ed5bd06f0b0fd4e3d79bdec403f8af29b688d8f1cbdef4be1e20",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-18T18:31:44Z",
    "title_canon_sha256": "8e9b692cccc059ae64b65ba19b8a44ba06b95857539b71b03add4486521851f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06496",
    "kind": "arxiv",
    "version": 2
  }
}