Pith Number

pith:KSEGYRAQ

pith:2013:KSEGYRAQKYQ23NUNELK6IDMKZW

not attested not anchored not stored refs pending

Moderate and Large Deviations for the Erd\H{o}s-Kac Theorem

Behzad Mehrdad, Lingjiong Zhu

arxiv:1311.6180 v3 · 2013-11-24 · math.PR · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KSEGYRAQKYQ23NUNELK6IDMKZW}

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	2026-05-18T01:19:22.467005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54886c44105621adb68d22d5e40d8acd99fc6a2f205a92d7935919cb6ae04f54

Aliases

arxiv: 1311.6180 · arxiv_version: 1311.6180v3 · doi: 10.48550/arxiv.1311.6180 · pith_short_12: KSEGYRAQKYQ2 · pith_short_16: KSEGYRAQKYQ23NUN · pith_short_8: KSEGYRAQ

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/KSEGYRAQKYQ23NUNELK6IDMKZW \
  | 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: 54886c44105621adb68d22d5e40d8acd99fc6a2f205a92d7935919cb6ae04f54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb88eafd2c064b504aeeccfe4252fed830cfb1077b5a5ca844599646625b2df",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-24T22:33:06Z",
    "title_canon_sha256": "69edf09fef343fc829149a512b3f9d6b0e94b7a3f0b5605f88cc96fce4f17899"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6180",
    "kind": "arxiv",
    "version": 3
  }
}