Pith Number

pith:SXGDQC3Y

pith:2004:SXGDQC3YMK4DJVVL3YPDEMF4DV

not attested not anchored not stored refs pending

On the rate of convergence in the central limit theorem for martingale difference sequences

Lahcen Ouchti

arxiv:math/0403393 v3 · 2004-03-23 · 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{SXGDQC3YMK4DJVVL3YPDEMF4DV}

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	2026-05-18T01:38:28.473294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95cc380b7862b834d6abde1e3230bc1d7f77e4cd489a772d8e5d665daa0ad681

Aliases

arxiv: math/0403393 · arxiv_version: math/0403393v3 · doi: 10.48550/arxiv.math/0403393 · pith_short_12: SXGDQC3YMK4D · pith_short_16: SXGDQC3YMK4DJVVL · pith_short_8: SXGDQC3Y

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/SXGDQC3YMK4DJVVL3YPDEMF4DV \
  | 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: 95cc380b7862b834d6abde1e3230bc1d7f77e4cd489a772d8e5d665daa0ad681

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ae2b797d7faeb7e65f9e94fc2ba42c1d943a909b133db283cdd88d54aeddcc2",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-03-23T17:11:55Z",
    "title_canon_sha256": "0832d767127985402d0ac3492073fca711627d50e4c54a49357bc2a531a90c90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0403393",
    "kind": "arxiv",
    "version": 3
  }
}