Pith Number

pith:3CZGRD4X

pith:2013:3CZGRD4X65PNBB6UXIX6BATVCQ

not attested not anchored not stored refs pending

Central limit theorem for an additive functional of the fractional Brownian motion II

David Nualart, Fangjun Xu

arxiv:1304.6426 v1 · 2013-04-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3CZGRD4X65PNBB6UXIX6BATVCQ}

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	2026-05-18T03:27:13.161294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8b2688f97f75ed087d4ba2fe082751418fc7c54e993e4e52bb1cb0960071dd9

Aliases

arxiv: 1304.6426 · arxiv_version: 1304.6426v1 · doi: 10.48550/arxiv.1304.6426 · pith_short_12: 3CZGRD4X65PN · pith_short_16: 3CZGRD4X65PNBB6U · pith_short_8: 3CZGRD4X

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/3CZGRD4X65PNBB6UXIX6BATVCQ \
  | 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: d8b2688f97f75ed087d4ba2fe082751418fc7c54e993e4e52bb1cb0960071dd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de60ba5450e50d92a8df61d7bde0e06b9b5fbbcbe281bed9b232c3b44d56b290",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-23T21:20:41Z",
    "title_canon_sha256": "764337432e45dbd5ef5c65ab741b030aec85c99d2d355a3b32c44febd347ef71"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6426",
    "kind": "arxiv",
    "version": 1
  }
}