Pith Number

pith:GEZZ4WZH

pith:2014:GEZZ4WZHEFQWSAIRNNNC2K7C65

not attested not anchored not stored refs pending

Lyapunov-type conditions and stochastic differential equations driven by $G$-Brownian motion

Xiangyun Lin, Xinpeng Li, Yiqing Lin

arxiv:1412.6169 v1 · 2014-12-18 · 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{GEZZ4WZHEFQWSAIRNNNC2K7C65}

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	2026-05-18T02:30:54.189704Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31339e5b2721616901116b5a2d2be2f7745cb1bfa785d080ca48e55dc4c564d9

Aliases

arxiv: 1412.6169 · arxiv_version: 1412.6169v1 · doi: 10.48550/arxiv.1412.6169 · pith_short_12: GEZZ4WZHEFQW · pith_short_16: GEZZ4WZHEFQWSAIR · pith_short_8: GEZZ4WZH

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/GEZZ4WZHEFQWSAIRNNNC2K7C65 \
  | 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: 31339e5b2721616901116b5a2d2be2f7745cb1bfa785d080ca48e55dc4c564d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f34376a6a2afd004679c8ddf0e33cfc1b57ccffe09f0ce5be7670fcb7d0ac3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-18T22:36:52Z",
    "title_canon_sha256": "971c0d0883ec9a1c9a894a4a54b6c24a01a9e996b8b74b8af97bb1d2046c9d79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6169",
    "kind": "arxiv",
    "version": 1
  }
}