Pith Number

pith:ZEXAWFHC

pith:2012:ZEXAWFHCEPQMKTWYVW62QZUXZL

not attested not anchored not stored refs pending

Central limit theorem for functionals of two independent fractional Brownian motions

David Nualart, Fangjun Xu

arxiv:1211.1967 v1 · 2012-11-08 · 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{ZEXAWFHCEPQMKTWYVW62QZUXZL}

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	2026-05-18T03:41:13.102465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c92e0b14e223e0c54ed8adbda86697cad0cb79008bd6249255bd47784eeea731

Aliases

arxiv: 1211.1967 · arxiv_version: 1211.1967v1 · doi: 10.48550/arxiv.1211.1967 · pith_short_12: ZEXAWFHCEPQM · pith_short_16: ZEXAWFHCEPQMKTWY · pith_short_8: ZEXAWFHC

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/ZEXAWFHCEPQMKTWYVW62QZUXZL \
  | 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: c92e0b14e223e0c54ed8adbda86697cad0cb79008bd6249255bd47784eeea731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f607c7f75cb72f8032d4e9e9d8684b4f8c2261f5ba306a3cc5d54c8fd26126d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-08T20:58:12Z",
    "title_canon_sha256": "01ff8435d886254add3e9dcf23298993a59b18d95e7ee3251c923ad4265bf8b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1967",
    "kind": "arxiv",
    "version": 1
  }
}