Pith Number

pith:GT5QYGEZ

pith:2018:GT5QYGEZR4S4MXYIDIY5D36CVV

not attested not anchored not stored refs pending

Extremes of Spherical Fractional Brownian Motion

Dan Cheng, Peng Liu

arxiv:1806.02965 v4 · 2018-06-08 · 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{GT5QYGEZR4S4MXYIDIY5D36CVV}

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	2026-05-17T23:52:52.909478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34fb0c18998f25c65f081a31d1efc2ad78303998f5eac55449905c7f898397b1

Aliases

arxiv: 1806.02965 · arxiv_version: 1806.02965v4 · doi: 10.48550/arxiv.1806.02965 · pith_short_12: GT5QYGEZR4S4 · pith_short_16: GT5QYGEZR4S4MXYI · pith_short_8: GT5QYGEZ

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/GT5QYGEZR4S4MXYIDIY5D36CVV \
  | 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: 34fb0c18998f25c65f081a31d1efc2ad78303998f5eac55449905c7f898397b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29220477afcbefe2eeda86a1c53c96d4bf1754ff8e303335f4227c46844a97cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-06-08T04:27:59Z",
    "title_canon_sha256": "688594e8bc1ddd7aaaa1c6c864b1f1724147f4c47835df421b96245684a943a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02965",
    "kind": "arxiv",
    "version": 4
  }
}