Pith Number

pith:3RZPVQZT

pith:2014:3RZPVQZTJ4JQBZN4CGAISESKP4

not attested not anchored not stored refs pending

Derivative for the intersection local time of fractional Brownian Motions

Litan Yan

arxiv:1403.4102 v3 · 2014-03-17 · 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{3RZPVQZTJ4JQBZN4CGAISESKP4}

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.

Cited by

1 paper in Pith

Fractional derivatives of local times for some Gaussian processes

Receipt and verification

First computed	2026-05-18T02:44:55.301392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc72fac3334f1300e5bc118089124a7f22df8f13194a725a66e688f8d7fb3295

Aliases

arxiv: 1403.4102 · arxiv_version: 1403.4102v3 · doi: 10.48550/arxiv.1403.4102 · pith_short_12: 3RZPVQZTJ4JQ · pith_short_16: 3RZPVQZTJ4JQBZN4 · pith_short_8: 3RZPVQZT

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/3RZPVQZTJ4JQBZN4CGAISESKP4 \
  | 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: dc72fac3334f1300e5bc118089124a7f22df8f13194a725a66e688f8d7fb3295

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393409632a2fb98ab953f5a836166932323304f2072bdc66706547e8858977a8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-17T14:08:25Z",
    "title_canon_sha256": "6d022f8fdfb90771eb710bf15026ca32fbca0ea2b9f33237d3e87ef402820128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4102",
    "kind": "arxiv",
    "version": 3
  }
}