Pith Number

pith:QDXPWYEU

pith:2018:QDXPWYEUA5N6U3DBEOJ45YBIOH

not attested not anchored not stored refs pending

On limit theorems for fields of martingale differences

Dalibor Volny

arxiv:1803.09100 v1 · 2018-03-24 · 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{QDXPWYEUA5N6U3DBEOJ45YBIOH}

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	2026-05-18T00:20:12.606241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80eefb6094075bea6c612393cee02871ed57284670b22434687874cd802abf23

Aliases

arxiv: 1803.09100 · arxiv_version: 1803.09100v1 · doi: 10.48550/arxiv.1803.09100 · pith_short_12: QDXPWYEUA5N6 · pith_short_16: QDXPWYEUA5N6U3DB · pith_short_8: QDXPWYEU

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/QDXPWYEUA5N6U3DBEOJ45YBIOH \
  | 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: 80eefb6094075bea6c612393cee02871ed57284670b22434687874cd802abf23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b13a4b2218236c5f5e88eed61ce1ff8fe10903d74d04bc53a8467fa2f781778d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-03-24T12:43:09Z",
    "title_canon_sha256": "5b1fd5bb975a0e91b7dafc5df06a8f5f3cc4692a1337b1f0e83fd546d3e4a9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.09100",
    "kind": "arxiv",
    "version": 1
  }
}