Pith Number

pith:XO2NZ42F

pith:2018:XO2NZ42F7OXVYJD76BSX6VF7B2

not attested not anchored not stored refs pending

Cram\'er-type Moderate Deviation Theorems for Nonnormal Approximation

Mengchen Zhang, Qi-Man Shao, Zhuo-Song Zhang

arxiv:1809.07966 v3 · 2018-09-21 · 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{XO2NZ42F7OXVYJD76BSX6VF7B2}

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	2026-07-05T02:35:09.847488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb4dcf345fbaf5c247ff0657f54bf0e839e4bce63621a9aa8c7decf38cfd411

Aliases

arxiv: 1809.07966 · arxiv_version: 1809.07966v3 · doi: 10.48550/arxiv.1809.07966 · pith_short_12: XO2NZ42F7OXV · pith_short_16: XO2NZ42F7OXVYJD7 · pith_short_8: XO2NZ42F

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/XO2NZ42F7OXVYJD76BSX6VF7B2 \
  | 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: bbb4dcf345fbaf5c247ff0657f54bf0e839e4bce63621a9aa8c7decf38cfd411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2ff28a4fa0e523a1257d1519f2c26e1d728812d8103e4f537a4cab8aa64af22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-09-21T07:44:23Z",
    "title_canon_sha256": "07c61398c11137c6803473a4f0eed3aa54d763e34113bd2d2ad03bcb84473bdc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.07966",
    "kind": "arxiv",
    "version": 3
  }
}