Pith Number

pith:SW5X4MYL

pith:2018:SW5X4MYL5V2IVUU77X4TPSQRAK

not attested not anchored not stored refs pending

Functional CLT for martingale-like nonstationary dependent structures

Florence Merlev\`ede, Florence Merlev\`ede (Universit\'e Paris-Est), Magda Peligrad, Magda Peligrad (University of Cincinnati), Sergey Utev, Sergey Utev (University of Leicester)

arxiv:1803.11106 v1 · 2018-03-29 · 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{SW5X4MYL5V2IVUU77X4TPSQRAK}

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	2026-05-18T00:19:48.518099Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95bb7e330bed748ad29ffdf937ca1102bd46742054266a00b20dd8b08e825b6c

Aliases

arxiv: 1803.11106 · arxiv_version: 1803.11106v1 · doi: 10.48550/arxiv.1803.11106 · pith_short_12: SW5X4MYL5V2I · pith_short_16: SW5X4MYL5V2IVUU7 · pith_short_8: SW5X4MYL

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/SW5X4MYL5V2IVUU77X4TPSQRAK \
  | 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: 95bb7e330bed748ad29ffdf937ca1102bd46742054266a00b20dd8b08e825b6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f535d9ad7631501fd82d30fca4896123ebbe35873325b9a52b5f8985208e72f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-29T14:57:19Z",
    "title_canon_sha256": "491df393a7b49a00a8a4a3111aa03be25374ee0b3465af88e4b5737a649ffed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.11106",
    "kind": "arxiv",
    "version": 1
  }
}