Pith Number

pith:D4EIZMLQ

pith:2006:D4EIZMLQDYYXQONNU6YD5CLNFP

not attested not anchored not stored refs pending

Symmetric and centered binomial approximation of sums of locally dependent random variables

Adrian R\"ollin

arxiv:math/0608138 v1 · 2006-08-05 · 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{D4EIZMLQDYYXQONNU6YD5CLNFP}

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	2026-07-04T14:56:04.974931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f088cb1701e317839ada7b03e896d2bff9680f528f888f9904abf51a0a3ac8d

Aliases

arxiv: math/0608138 · arxiv_version: math/0608138v1 · doi: 10.48550/arxiv.math/0608138 · pith_short_12: D4EIZMLQDYYX · pith_short_16: D4EIZMLQDYYXQONN · pith_short_8: D4EIZMLQ

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/D4EIZMLQDYYXQONNU6YD5CLNFP \
  | 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: 1f088cb1701e317839ada7b03e896d2bff9680f528f888f9904abf51a0a3ac8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42c29280bf906b5a8e4aaa043723e55ba9091d64c531720f24191ab71f0f9245",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-08-05T12:06:28Z",
    "title_canon_sha256": "27fabddd547935e0a76204f84d54957a5e0f9ac67f42b1a3686d411a6b4fdabf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608138",
    "kind": "arxiv",
    "version": 1
  }
}