Pith Number

pith:TVQOMMDQ

pith:2010:TVQOMMDQYEJRTYEB7VUWM4R4J2

not attested not anchored not stored refs pending

Laplace approximation for rough differential equation driven by fractional Brownian motion

Yuzuru Inahama

arxiv:1004.1478 v2 · 2010-04-09 · 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{TVQOMMDQYEJRTYEB7VUWM4R4J2}

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	2026-05-18T03:34:46.601242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d60e63070c11319e081fd6966723c4eb8426eef49e510808b023cc9915c3d98

Aliases

arxiv: 1004.1478 · arxiv_version: 1004.1478v2 · doi: 10.48550/arxiv.1004.1478 · pith_short_12: TVQOMMDQYEJR · pith_short_16: TVQOMMDQYEJRTYEB · pith_short_8: TVQOMMDQ

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/TVQOMMDQYEJRTYEB7VUWM4R4J2 \
  | 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: 9d60e63070c11319e081fd6966723c4eb8426eef49e510808b023cc9915c3d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45053714009e5b21d6bbc93c95bc4a147ea8817c248bcc1c1919f6a8c686cd2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-04-09T07:21:25Z",
    "title_canon_sha256": "7653682ecbf37f32beff770d3824a9b3339a88a32af53fa946eba3a3347c5273"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1478",
    "kind": "arxiv",
    "version": 2
  }
}