Pith Number

pith:Z6QJNQAB

pith:2006:Z6QJNQABPXNBSP77EH4AA7EO6S

not attested not anchored not stored refs pending

The distribution of prime numbers

K. Soundararajan

arxiv:math/0606408 v1 · 2006-06-16 · 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{Z6QJNQABPXNBSP77EH4AA7EO6S}

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	2026-07-04T14:55:31.235929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfa096c0017dda193fff21f8007c8ef4af2115e3bac076ab1af2568cb2c92a0a

Aliases

arxiv: math/0606408 · arxiv_version: math/0606408v1 · doi: 10.48550/arxiv.math/0606408 · pith_short_12: Z6QJNQABPXNB · pith_short_16: Z6QJNQABPXNBSP77 · pith_short_8: Z6QJNQAB

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/Z6QJNQABPXNBSP77EH4AA7EO6S \
  | 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: cfa096c0017dda193fff21f8007c8ef4af2115e3bac076ab1af2568cb2c92a0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39899758af3a2d06aeb689026af7e7b695cd72f4022a364c66a80f80d675a3b8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-06-16T22:03:57Z",
    "title_canon_sha256": "54c8ee38b42c7ea574afc85c6e5e483c8e78a4ef6ba40930c0cdc205fcec1a82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606408",
    "kind": "arxiv",
    "version": 1
  }
}