Pith Number

pith:VLBOK3DS

pith:2018:VLBOK3DS3QZS5IBHPEVLZKL5F2

not attested not anchored not stored refs pending

On the exit times of SDEs driven by $G$-Brownian motion

Falei Wang, Guomin Liu, Shige Peng

arxiv:1804.05610 v2 · 2018-04-16 · 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{VLBOK3DS3QZS5IBHPEVLZKL5F2}

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	2026-05-18T00:16:02.722153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aac2e56c72dc332ea027792abca97d2eb6d15f0a500ae5411a522a57346b1861

Aliases

arxiv: 1804.05610 · arxiv_version: 1804.05610v2 · doi: 10.48550/arxiv.1804.05610 · pith_short_12: VLBOK3DS3QZS · pith_short_16: VLBOK3DS3QZS5IBH · pith_short_8: VLBOK3DS

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/VLBOK3DS3QZS5IBHPEVLZKL5F2 \
  | 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: aac2e56c72dc332ea027792abca97d2eb6d15f0a500ae5411a522a57346b1861

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22cf6191a6d9d8ee0663b34b680d9b588502d86e6f7d257fa4b470a5b07d6ff9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-04-16T11:27:38Z",
    "title_canon_sha256": "8076cb349f247c6caf3e8ad9d05f7d5c7853a3ae7471f57674b2b75a9b1df363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05610",
    "kind": "arxiv",
    "version": 2
  }
}