Pith Number

pith:4LOHEWRR

pith:2012:4LOHEWRRCWQPV7GULY24WEDCLB

not attested not anchored not stored refs pending

A note on stochastic semilinear equations and their associated Fokker-Planck equations

Michael R\"ockner, Rongchan Zhu, Xiangchan Zhu

arxiv:1209.1840 v2 · 2012-09-09 · 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{4LOHEWRRCWQPV7GULY24WEDCLB}

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	2026-05-18T03:00:14.884726Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2dc725a3115a0fafcd45e35cb1062586c11e5bf73927886c3854a9f818daf56

Aliases

arxiv: 1209.1840 · arxiv_version: 1209.1840v2 · doi: 10.48550/arxiv.1209.1840 · pith_short_12: 4LOHEWRRCWQP · pith_short_16: 4LOHEWRRCWQPV7GU · pith_short_8: 4LOHEWRR

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/4LOHEWRRCWQPV7GULY24WEDCLB \
  | 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: e2dc725a3115a0fafcd45e35cb1062586c11e5bf73927886c3854a9f818daf56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08fdd9cd83e88dad8fbe0a57c88189c2f5ca71bcf7a714ec7cadd19b680140d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-09T20:54:57Z",
    "title_canon_sha256": "de0d2f458f2e416c94dbc2eb61e65283992cd74e580acafe7ddbfd54629f7d4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1840",
    "kind": "arxiv",
    "version": 2
  }
}