Pith Number

pith:LADMGGUJ

pith:2015:LADMGGUJGIJJ5SBKTYA3QJV74S

not attested not anchored not stored refs pending

Stochastic Calculus with respect to G-Brownian Motion Viewed through Rough Paths

Huilin Zhang, Shige Peng

arxiv:1510.01851 v4 · 2015-10-07 · 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{LADMGGUJGIJJ5SBKTYA3QJV74S}

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	2026-05-18T01:08:20.836771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5806c31a8932129ec82a9e01b826bfe4afafdeb0593746dd1e95b0e0fe03239c

Aliases

arxiv: 1510.01851 · arxiv_version: 1510.01851v4 · doi: 10.48550/arxiv.1510.01851 · pith_short_12: LADMGGUJGIJJ · pith_short_16: LADMGGUJGIJJ5SBK · pith_short_8: LADMGGUJ

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/LADMGGUJGIJJ5SBKTYA3QJV74S \
  | 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: 5806c31a8932129ec82a9e01b826bfe4afafdeb0593746dd1e95b0e0fe03239c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a03371ce7ac4171c551315962bd5c426479bd41cb66c5b669f58c852e7f744d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-10-07T07:51:05Z",
    "title_canon_sha256": "aace2d8d1657bf66282f0002f89069c8ca8896972355e4c96058e8c295a3a5c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01851",
    "kind": "arxiv",
    "version": 4
  }
}