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Pith Number

pith:RX2LZWQD

pith:2014:RX2LZWQDP4NRWKDRDPXGC2UNMB
not attested not anchored not stored refs pending

The lower tail: Poisson approximation revisited

Lutz Warnke, Svante Janson

arxiv:1406.1248 v1 · 2014-06-05 · math.PR · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RX2LZWQDP4NRWKDRDPXGC2UNMB}

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 2026-05-18T00:28:27.654861Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8df4bcda037f1b1b28711bee616a8d607e91f1f471fee2bf39b14b623f5d34dd

Aliases

arxiv: 1406.1248 · arxiv_version: 1406.1248v1 · doi: 10.48550/arxiv.1406.1248 · pith_short_12: RX2LZWQDP4NR · pith_short_16: RX2LZWQDP4NRWKDR · pith_short_8: RX2LZWQD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RX2LZWQDP4NRWKDRDPXGC2UNMB \
  | 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: 8df4bcda037f1b1b28711bee616a8d607e91f1f471fee2bf39b14b623f5d34dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e9f3045df06ce5b4fcf3322657d53062ece7f99b2ffd83a718c454a6aff0a7bb",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-06-05T00:27:30Z",
    "title_canon_sha256": "8d5a978c1ba9edc13d436703dcffb109421ee32ff6a9070c050674971ec4faea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.1248",
    "kind": "arxiv",
    "version": 1
  }
}