Pith Number

pith:G3QBDEDJ

pith:2026:G3QBDEDJEZXJ44MZV7JDAPJ3IE

not attested not anchored not stored refs pending

Faster enumeration of primes

David Harvey

arxiv:2606.22851 v1 · 2026-06-22 · math.NT · cs.DS · cs.SC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G3QBDEDJEZXJ44MZV7JDAPJ3IE}

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	2026-06-23T03:14:01.449441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e0119069266e9e7199afd2303d3b4131eb8607fb2fb6a3902d51415887a7f7

Aliases

arxiv: 2606.22851 · arxiv_version: 2606.22851v1 · doi: 10.48550/arxiv.2606.22851 · pith_short_12: G3QBDEDJEZXJ · pith_short_16: G3QBDEDJEZXJ44MZ · pith_short_8: G3QBDEDJ

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/G3QBDEDJEZXJ44MZV7JDAPJ3IE \
  | 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: 36e0119069266e9e7199afd2303d3b4131eb8607fb2fb6a3902d51415887a7f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3592f8b4d36d63ad4e57d20ce3d211046f46a19b3d7d89d9cda1d402e24898e",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-22T04:54:20Z",
    "title_canon_sha256": "d8e0cfb6eecf51f16ba84f369b1a6e80e906a40e278dde63d4876dd794e7b99a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22851",
    "kind": "arxiv",
    "version": 1
  }
}