Pith Number

pith:TKKBMWPW

pith:2010:TKKBMWPWDFGYCOD5JHXQ3IYPA3

not attested not anchored not stored refs pending

A Berry-Esseen bound with applications to vertex degree counts in the Erd\H{o}s-R\'{e}nyi random graph

Larry Goldstein

arxiv:1005.4390 v4 · 2010-05-24 · 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{TKKBMWPWDFGYCOD5JHXQ3IYPA3}

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	2026-05-18T03:32:45.766898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a941659f6194d81387d49ef0da30f06d926fdb8c7a86be87fab6ca5e61242f4

Aliases

arxiv: 1005.4390 · arxiv_version: 1005.4390v4 · doi: 10.48550/arxiv.1005.4390 · pith_short_12: TKKBMWPWDFGY · pith_short_16: TKKBMWPWDFGYCOD5 · pith_short_8: TKKBMWPW

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/TKKBMWPWDFGYCOD5JHXQ3IYPA3 \
  | 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: 9a941659f6194d81387d49ef0da30f06d926fdb8c7a86be87fab6ca5e61242f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff967c72465ce3d9e10de2ef40ea2fbb16b1af16bd57ae3d0bcc6684cb84a105",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-24T18:20:41Z",
    "title_canon_sha256": "a1f990fe557a5003e989e12079b46054f3f2b0b707db410a11906073e652566f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4390",
    "kind": "arxiv",
    "version": 4
  }
}