Pith Number

pith:HOLDEOKE

pith:2009:HOLDEOKEBXPKN6OQXYV36T4QVK

not attested not anchored not stored refs pending

Results on the Supremum of Fractional Brownian Motion

Ceren Vardar

arxiv:0910.5193 v3 · 2009-10-27 · math.PR · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HOLDEOKEBXPKN6OQXYV36T4QVK}

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	2026-05-18T03:48:59.393880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b963239440ddea6f9d0be2bbf4f90aa8db1bb487dff01f98307bd9247a45fcf

Aliases

arxiv: 0910.5193 · arxiv_version: 0910.5193v3 · doi: 10.48550/arxiv.0910.5193 · pith_short_12: HOLDEOKEBXPK · pith_short_16: HOLDEOKEBXPKN6OQ · pith_short_8: HOLDEOKE

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/HOLDEOKEBXPKN6OQXYV36T4QVK \
  | 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: 3b963239440ddea6f9d0be2bbf4f90aa8db1bb487dff01f98307bd9247a45fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "929da37f9ae32d65858b641bb59919cf385cc59c79fffd54b5b8d518ddbd4d31",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-10-27T17:59:51Z",
    "title_canon_sha256": "80d8a4f075aa5d3f00cbe8bb35559729fec2268ad8bec8231059030494ca497d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.5193",
    "kind": "arxiv",
    "version": 3
  }
}