Pith Number

pith:A6ZSOXYO

pith:2015:A6ZSOXYO4KENOYICT4H7TTOK7Z

not attested not anchored not stored refs pending

A functional central limit theorem for integrals of stationary mixing random fields

Evgeny Spodarev, J\"urgen Kampf

arxiv:1512.03663 v1 · 2015-12-11 · 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{A6ZSOXYO4KENOYICT4H7TTOK7Z}

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	2026-05-18T01:24:31.729105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07b3275f0ee288d761029f0ff9cdcafe5f49d40f3f859acfecdc5825fb53992d

Aliases

arxiv: 1512.03663 · arxiv_version: 1512.03663v1 · doi: 10.48550/arxiv.1512.03663 · pith_short_12: A6ZSOXYO4KEN · pith_short_16: A6ZSOXYO4KENOYIC · pith_short_8: A6ZSOXYO

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/A6ZSOXYO4KENOYICT4H7TTOK7Z \
  | 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: 07b3275f0ee288d761029f0ff9cdcafe5f49d40f3f859acfecdc5825fb53992d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33c8c91c23dbdbe7a137a42de75873d702136f48042d9ca8a72b9fbf34d18b50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-11T14:41:58Z",
    "title_canon_sha256": "bc81bcb07169acc24554ab30bb690b96d35493fa6ce54deacbac749463860d72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03663",
    "kind": "arxiv",
    "version": 1
  }
}