Pith Number

pith:7DBIH3GT

pith:2011:7DBIH3GTHBSUWKUX2P4VSL7XP2

not attested not anchored not stored refs pending

Stochastic differential equation involving Wiener process and fractional Brownian motion with Hurst index $H> 1/2$

Georgiy Shevchenko, Yuliya Mishura

arxiv:1103.0615 v1 · 2011-03-03 · 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{7DBIH3GTHBSUWKUX2P4VSL7XP2}

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	2026-05-18T04:09:25.288498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8c283ecd338654b2a97d3f9592ff77e8139250c86e09513c1f2efd903b3be98

Aliases

arxiv: 1103.0615 · arxiv_version: 1103.0615v1 · doi: 10.48550/arxiv.1103.0615 · pith_short_12: 7DBIH3GTHBSU · pith_short_16: 7DBIH3GTHBSUWKUX · pith_short_8: 7DBIH3GT

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/7DBIH3GTHBSUWKUX2P4VSL7XP2 \
  | 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: f8c283ecd338654b2a97d3f9592ff77e8139250c86e09513c1f2efd903b3be98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2383383ddcabdecf529822009469d811e76306445a3645d5a6761ab51ba03e59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-03T07:57:40Z",
    "title_canon_sha256": "4299f7b6d56435edba62c91ed66e43b495777cbf067aef808f9dbe318c2b03f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0615",
    "kind": "arxiv",
    "version": 1
  }
}