Pith Number

pith:T4F2OHUQ

pith:2018:T4F2OHUQJLUY3PLSJSYWFL4J45

not attested not anchored not stored refs pending

Almost sure limit theorems on Wiener chaos: the non-central case

Ehsan Azmoodeh, Ivan Nourdin

arxiv:1807.08642 v3 · 2018-07-23 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T4F2OHUQJLUY3PLSJSYWFL4J45}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-17T23:56:03.898226Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0ba71e904ae98dbd724cb162af89e751b54f8678770565490b6a6489efe021

Aliases

arxiv: 1807.08642 · arxiv_version: 1807.08642v3 · doi: 10.48550/arxiv.1807.08642 · pith_short_12: T4F2OHUQJLUY · pith_short_16: T4F2OHUQJLUY3PLS · pith_short_8: T4F2OHUQ

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/T4F2OHUQJLUY3PLSJSYWFL4J45 \
  | 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: 9f0ba71e904ae98dbd724cb162af89e751b54f8678770565490b6a6489efe021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43e2fe724b0095395bfe0a48b415fff581742979d005ac98306f2dd33a333020",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-07-23T14:38:08Z",
    "title_canon_sha256": "486c73357dd89b954aea6313cb57a7392d5d4253799626e349593da8f65a077e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08642",
    "kind": "arxiv",
    "version": 3
  }
}