Pith Number

pith:SFVF7PTR

pith:2011:SFVF7PTRYEUUQNND6UPDKKOEDG

not attested not anchored not stored refs pending

The Shanks-R\'enyi prime number race with many contestants

Youness Lamzouri

arxiv:1108.5342 v2 · 2011-08-26 · 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{SFVF7PTRYEUUQNND6UPDKKOEDG}

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	2026-05-18T04:14:37.607260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

916a5fbe71c1294835a3f51e3529c4198da24ae41f8721a469af33cbd5e43019

Aliases

arxiv: 1108.5342 · arxiv_version: 1108.5342v2 · doi: 10.48550/arxiv.1108.5342 · pith_short_12: SFVF7PTRYEUU · pith_short_16: SFVF7PTRYEUUQNND · pith_short_8: SFVF7PTR

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/SFVF7PTRYEUUQNND6UPDKKOEDG \
  | 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: 916a5fbe71c1294835a3f51e3529c4198da24ae41f8721a469af33cbd5e43019

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2f22b5b949f151e08d4177127eb1f7f0f6ce2046afb5f9bea84d2af6e8f0da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-26T15:59:15Z",
    "title_canon_sha256": "67308d7f29ee8a1e1795bfc1e35d39f978626ff2bef5f47a5bbe3892ebf12c62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5342",
    "kind": "arxiv",
    "version": 2
  }
}