Pith Number

pith:TJ4IM6UW

pith:2012:TJ4IM6UWYPAIT4J44AIENPJKFJ

not attested not anchored not stored refs pending

Berry-Ess\'een bounds and almost sure CLT for the quadratic variation of the bifractional Brownian motion

Khalifa Es-Sebaiy, Soufiane Aazizi

arxiv:1203.2786 v3 · 2012-03-13 · 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{TJ4IM6UWYPAIT4J44AIENPJKFJ}

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	2026-05-18T03:59:13.450787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a78867a96c3c089f13ce01046bd2a2a4f886f68f9d52825fc2a613496796c96

Aliases

arxiv: 1203.2786 · arxiv_version: 1203.2786v3 · doi: 10.48550/arxiv.1203.2786 · pith_short_12: TJ4IM6UWYPAI · pith_short_16: TJ4IM6UWYPAIT4J4 · pith_short_8: TJ4IM6UW

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/TJ4IM6UWYPAIT4J44AIENPJKFJ \
  | 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: 9a78867a96c3c089f13ce01046bd2a2a4f886f68f9d52825fc2a613496796c96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb5cc1e6c232e7a113bde9d8961430aeef9f73897c0ff8881337e90dcba46b30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-13T12:42:23Z",
    "title_canon_sha256": "c951df6e99b7447b54463cee6898a28f39d713abb20a2134158f4cb4d2975713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.2786",
    "kind": "arxiv",
    "version": 3
  }
}