Pith Number

pith:YW74SJQA

pith:2011:YW74SJQADGD4G2GISDAYHBWY7P

not attested not anchored not stored refs pending

Random variables as pathwise integrals with respect to fractional Brownian motion

Esko Valkeila, Georgiy Shevchenko, Yuliya Mishura

arxiv:1111.1851 v2 · 2011-11-08 · 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{YW74SJQADGD4G2GISDAYHBWY7P}

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	2026-05-18T03:30:15.024205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5bfc926001987c368c890c18386d8fbe892aeb19c10616c7ecf64caf578a9ec

Aliases

arxiv: 1111.1851 · arxiv_version: 1111.1851v2 · doi: 10.48550/arxiv.1111.1851 · pith_short_12: YW74SJQADGD4 · pith_short_16: YW74SJQADGD4G2GI · pith_short_8: YW74SJQA

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/YW74SJQADGD4G2GISDAYHBWY7P \
  | 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: c5bfc926001987c368c890c18386d8fbe892aeb19c10616c7ecf64caf578a9ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eea223c629c5669d0b9dfe015e17180807ebb214de169e5468ff899bfc99a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-08T10:08:16Z",
    "title_canon_sha256": "9cd6b953d04f29c4e87523c2bdd56aad062e0c0fd8684a1cb416400ea9c6d94b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1851",
    "kind": "arxiv",
    "version": 2
  }
}