Pith Number

pith:4F2Q37XE

pith:2009:4F2Q37XEIX2SBXLCYLN2XGJYEQ

not attested not anchored not stored refs pending

Gaussian and non-Gaussian processes of zero power variation

Francesco Russo (CERMICS, Frederi Viens, INRIA Rocquencourt, UMA)

arxiv:0912.0782 v2 · 2009-12-04 · 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{4F2Q37XEIX2SBXLCYLN2XGJYEQ}

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	2026-05-18T03:54:48.108139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1750dfee445f520dd62c2dbab9938240daad6b912f7c5eb6d1b3c728350dd2b

Aliases

arxiv: 0912.0782 · arxiv_version: 0912.0782v2 · doi: 10.48550/arxiv.0912.0782 · pith_short_12: 4F2Q37XEIX2S · pith_short_16: 4F2Q37XEIX2SBXLC · pith_short_8: 4F2Q37XE

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/4F2Q37XEIX2SBXLCYLN2XGJYEQ \
  | 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: e1750dfee445f520dd62c2dbab9938240daad6b912f7c5eb6d1b3c728350dd2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6279bddb52e0039a9058b9e062f2accd41507ba0eeac4be02e4d1b61342a81",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-04T07:48:43Z",
    "title_canon_sha256": "d7136433d5f494128d26dfe72a2280e14ec7e768bc62953e68fa942a1d7bfa2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.0782",
    "kind": "arxiv",
    "version": 2
  }
}