Pith Number

pith:FEMCZPAN

pith:2015:FEMCZPAN5FGZ2TFL5JLZWSN742

not attested not anchored not stored refs pending

Poisson approximation of Rademacher functionals by the Chen-Stein method and Malliavin calculus

Kai Krokowski

arxiv:1505.01417 v3 · 2015-05-06 · 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{FEMCZPAN5FGZ2TFL5JLZWSN742}

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	2026-05-18T00:39:40.821930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29182cbc0de94d9d4cabea579b49bfe682162568c7a94691a770c7fbb3390df2

Aliases

arxiv: 1505.01417 · arxiv_version: 1505.01417v3 · doi: 10.48550/arxiv.1505.01417 · pith_short_12: FEMCZPAN5FGZ · pith_short_16: FEMCZPAN5FGZ2TFL · pith_short_8: FEMCZPAN

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/FEMCZPAN5FGZ2TFL5JLZWSN742 \
  | 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: 29182cbc0de94d9d4cabea579b49bfe682162568c7a94691a770c7fbb3390df2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd83a68eff37d768021b9ac7ec8c98b033efdc03970fa44076ec262de4d4671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-05-06T16:07:13Z",
    "title_canon_sha256": "a5283ae7879004b0f6122f0f9738db24b1a535feb914a645241253c99285924f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01417",
    "kind": "arxiv",
    "version": 3
  }
}