Pith Number

pith:S6UAJULS

pith:2006:S6UAJULS4EDKX2MFV3FEQS2TP7

not attested not anchored not stored refs pending

Sieving and the Erd{\H o}s-Kac theorem

Andrew Granville, K. Soundararajan

arxiv:math/0606039 v1 · 2006-06-01 · math.NT · 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{S6UAJULS4EDKX2MFV3FEQS2TP7}

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	2026-07-04T14:55:07.703416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97a804d172e106abe985aeca484b537ffe0af2c008a41a7aeb4659ef92faec89

Aliases

arxiv: math/0606039 · arxiv_version: math/0606039v1 · doi: 10.48550/arxiv.math/0606039 · pith_short_12: S6UAJULS4EDK · pith_short_16: S6UAJULS4EDKX2MF · pith_short_8: S6UAJULS

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/S6UAJULS4EDKX2MFV3FEQS2TP7 \
  | 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: 97a804d172e106abe985aeca484b537ffe0af2c008a41a7aeb4659ef92faec89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "209f2971020ecfd26c709a2da4356a4ec72caf4cc8b907d83e3b2d5f4835b3aa",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-06-01T19:10:20Z",
    "title_canon_sha256": "cac732fa6f856d604bf632d4242f1adcca7d0a05e1587387ebba4152eb9811ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606039",
    "kind": "arxiv",
    "version": 1
  }
}