Pith Number

pith:XC55JJJK

pith:2021:XC55JJJKEBDLCJEG64LJGTQNUK

not attested not anchored not stored refs pending

SDEs with critical time dependent drifts: strong solutions

Guohuan Zhao, Michael R\"ockner

arxiv:2103.05803 v5 · 2021-03-10 · 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{XC55JJJKEBDLCJEG64LJGTQNUK}

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.

Cited by

2 papers in Pith

Kinetic Fokker-Planck Equations with Nonlinear Diffusion

Stochastic It\^o Equations and Parabolic Second-Order Equations with singular Drift

Receipt and verification

First computed	2026-07-05T11:14:22.220340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8bbd4a52a2046b12486f716934e0da2b67c08a58e181aeccfa7cebc8378d6b6

Aliases

arxiv: 2103.05803 · arxiv_version: 2103.05803v5 · doi: 10.48550/arxiv.2103.05803 · pith_short_12: XC55JJJKEBDL · pith_short_16: XC55JJJKEBDLCJEG · pith_short_8: XC55JJJK

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/XC55JJJKEBDLCJEG64LJGTQNUK \
  | 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: b8bbd4a52a2046b12486f716934e0da2b67c08a58e181aeccfa7cebc8378d6b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3cb92d8b58ff14b0c05876b4fa142fdc5685d8dadd02de3de96902846a120bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-03-10T01:14:53Z",
    "title_canon_sha256": "6edf3cc70a9650a4fad5db695fb9ed3d32bf74b62601808154568048aa7f8651"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.05803",
    "kind": "arxiv",
    "version": 5
  }
}