Pith Number

pith:4FZQ2VXM

pith:2019:4FZQ2VXMDSTU5BAGP3QIQQOQ6Z

not attested not anchored not stored refs pending

Precise Local Estimates for Hypoelliptic Differential Equations driven by Fractional Brownian Motions

Cheng Ouyang, Samy Tindel, Xi Geng

arxiv:1907.00171 v1 · 2019-06-29 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4FZQ2VXMDSTU5BAGP3QIQQOQ6Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:41:57.258016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1730d56ec1ca74e84067ee08841d0f64c2cd2b123acb3b93b069977be8c30ba

Aliases

arxiv: 1907.00171 · arxiv_version: 1907.00171v1 · doi: 10.48550/arxiv.1907.00171 · pith_short_12: 4FZQ2VXMDSTU · pith_short_16: 4FZQ2VXMDSTU5BAG · pith_short_8: 4FZQ2VXM

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/4FZQ2VXMDSTU5BAGP3QIQQOQ6Z \
  | 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: e1730d56ec1ca74e84067ee08841d0f64c2cd2b123acb3b93b069977be8c30ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "343623fc12aa90f5a1e53cffcd264659f3810cdfeddc1049c3a6a1dea32d9dc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-06-29T09:18:21Z",
    "title_canon_sha256": "0904929143f038066e672bc5c490c565f82009b370257f9864d4cc1da2c7a403"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00171",
    "kind": "arxiv",
    "version": 1
  }
}