Pith Number

pith:HOQZJLRO

pith:2015:HOQZJLROSWG7K7SMXV2NHJ7PBQ

not attested not anchored not stored refs pending

A central limit theorem for fields of martingale differences

Dalibor Volny

arxiv:1504.02439 v1 · 2015-04-09 · 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{HOQZJLROSWG7K7SMXV2NHJ7PBQ}

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	2026-05-18T02:19:08.906310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ba194ae2e958df57e4cbd74d3a7ef0c397c304c9eef63c0c1e70e7bddf3b753

Aliases

arxiv: 1504.02439 · arxiv_version: 1504.02439v1 · doi: 10.48550/arxiv.1504.02439 · pith_short_12: HOQZJLROSWG7 · pith_short_16: HOQZJLROSWG7K7SM · pith_short_8: HOQZJLRO

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/HOQZJLROSWG7K7SMXV2NHJ7PBQ \
  | 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: 3ba194ae2e958df57e4cbd74d3a7ef0c397c304c9eef63c0c1e70e7bddf3b753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af0ca9c35b3f4b575558d8a479d7c9bb3edead7b1540591f601933349e7c2762",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-09T19:29:50Z",
    "title_canon_sha256": "6a2179c2ba4a234ec93f5a381ec2abaef352cffa0121d8b04a521bf52141e9ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02439",
    "kind": "arxiv",
    "version": 1
  }
}