Pith Number

pith:KI25GVWT

pith:2016:KI25GVWTM6PHA7XTLYSDC7D6BO

not attested not anchored not stored refs pending

New and refined bounds for expected maxima of fractional Brownian motion

Alexander Novikov, Konstantin Borovkov, Mikhail Zhitlukhin, Yuliya Mishura

arxiv:1612.07842 v2 · 2016-12-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KI25GVWTM6PHA7XTLYSDC7D6BO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:24:31.596305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5235d356d3679e707ef35e24317c7e0b87020ef4e534f785f3a7ee65c3df8930

Aliases

arxiv: 1612.07842 · arxiv_version: 1612.07842v2 · doi: 10.48550/arxiv.1612.07842 · pith_short_12: KI25GVWTM6PH · pith_short_16: KI25GVWTM6PHA7XT · pith_short_8: KI25GVWT

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/KI25GVWTM6PHA7XTLYSDC7D6BO \
  | 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: 5235d356d3679e707ef35e24317c7e0b87020ef4e534f785f3a7ee65c3df8930

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aff2dd455a55b325e6114538ba42a57d99378bd66f1a6cb29b57d15e5169318",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-23T00:21:02Z",
    "title_canon_sha256": "5dd4376eb841ceb86c888eff845deb85c8c289f1ce93ad0064ecba60b9a48904"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07842",
    "kind": "arxiv",
    "version": 2
  }
}