Pith Number

pith:4CKAIIJO

pith:2012:4CKAIIJOOF3OCHYAVQOFWGKN5Y

not attested not anchored not stored refs pending

One-dimensional Stochastic Differential Equations with Generalized and Singular Drift

Hans-J\"urgen Engelbert, Stefan Blei

arxiv:1209.6159 v1 · 2012-09-27 · 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{4CKAIIJOOF3OCHYAVQOFWGKN5Y}

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	2026-05-18T03:09:59.851440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e09404212e7176e11f00ac1c5b194dee04228d8dcacb957a366e8c40cdebb364

Aliases

arxiv: 1209.6159 · arxiv_version: 1209.6159v1 · doi: 10.48550/arxiv.1209.6159 · pith_short_12: 4CKAIIJOOF3O · pith_short_16: 4CKAIIJOOF3OCHYA · pith_short_8: 4CKAIIJO

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/4CKAIIJOOF3OCHYAVQOFWGKN5Y \
  | 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: e09404212e7176e11f00ac1c5b194dee04228d8dcacb957a366e8c40cdebb364

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebd071a5c497a669c1268db6ea6c4194bbc09b4767a2340350e9528b552b4891",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-27T08:29:29Z",
    "title_canon_sha256": "546d1100ca85c3ea1379544d3a659ca8e279ed0e5497eee4440066c4639d19db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6159",
    "kind": "arxiv",
    "version": 1
  }
}