Pith Number

pith:G5UUIYMT

pith:2018:G5UUIYMTQWCFUE5DETI73AETGO

not attested not anchored not stored refs pending

Small time asymptotics for Brownian motion with singular drift

Shizan Fang, Tusheng Zhang, Zhen-Qing Chen

arxiv:1808.02326 v1 · 2018-08-07 · 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{G5UUIYMTQWCFUE5DETI73AETGO}

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	2026-05-18T00:08:46.869406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

376944619385845a13a324d1fd809333bfd70bb1c174e4d5d1e747aebad6baa2

Aliases

arxiv: 1808.02326 · arxiv_version: 1808.02326v1 · doi: 10.48550/arxiv.1808.02326 · pith_short_12: G5UUIYMTQWCF · pith_short_16: G5UUIYMTQWCFUE5D · pith_short_8: G5UUIYMT

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/G5UUIYMTQWCFUE5DETI73AETGO \
  | 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: 376944619385845a13a324d1fd809333bfd70bb1c174e4d5d1e747aebad6baa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f2653021dc2cbd5f660ad16893ea0d9cc42945645acebf567290f6ebbfb4a26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-08-07T12:42:27Z",
    "title_canon_sha256": "42e605c2c99c433b3e70da7a74a427be49c75112c7510579bf2a5bd1482eacf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02326",
    "kind": "arxiv",
    "version": 1
  }
}