Pith Number

pith:IDDIHW4M

pith:2015:IDDIHW4MUBGVUQN5AEWOILULHS

not attested not anchored not stored refs pending

Regularized Distributions and Entropic Stability of Cramer's Characterization of the Normal Law

F. G\"otze, G.P. Chistyakov, S.G. Bobkov

arxiv:1504.02961 v1 · 2015-04-12 · 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{IDDIHW4MUBGVUQN5AEWOILULHS}

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	2026-05-18T02:18:59.546422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40c683db8ca04d5a41bd012ce42e8b3ca882516be9e5269ed62b57f009868d1b

Aliases

arxiv: 1504.02961 · arxiv_version: 1504.02961v1 · doi: 10.48550/arxiv.1504.02961 · pith_short_12: IDDIHW4MUBGV · pith_short_16: IDDIHW4MUBGVUQN5 · pith_short_8: IDDIHW4M

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/IDDIHW4MUBGVUQN5AEWOILULHS \
  | 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: 40c683db8ca04d5a41bd012ce42e8b3ca882516be9e5269ed62b57f009868d1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5dd0d5db7d4eced9dbda045e437b4cac925bc6fd2b2a1e7bb0255be2f22ea65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-12T11:47:44Z",
    "title_canon_sha256": "a9b5f40f0405bd96183055a79e2d34ff338ec6e0ca399ac66a98e03e89c9a6b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02961",
    "kind": "arxiv",
    "version": 1
  }
}