Pith Number

pith:JRXBQ5DO

pith:2012:JRXBQ5DO6COFMCYII3SBFFLYLG

not attested not anchored not stored refs pending

Asymptotics for Magic Squares of Primes

Carlos Vinuesa

arxiv:1207.3936 v1 · 2012-07-17 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JRXBQ5DO6COFMCYII3SBFFLYLG}

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	2026-05-18T03:50:49.455860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c6e18746ef09c560b0846e412957859b46fe202e212fb60844e03e47218657b

Aliases

arxiv: 1207.3936 · arxiv_version: 1207.3936v1 · doi: 10.48550/arxiv.1207.3936 · pith_short_12: JRXBQ5DO6COF · pith_short_16: JRXBQ5DO6COFMCYI · pith_short_8: JRXBQ5DO

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/JRXBQ5DO6COFMCYII3SBFFLYLG \
  | 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: 4c6e18746ef09c560b0846e412957859b46fe202e212fb60844e03e47218657b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd817399fbf5fb0832f6cd59456da3716ac38949548bb12533e9fe249702f639",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-17T10:34:58Z",
    "title_canon_sha256": "3aa8a20c6cd1e7b5098dc35dc7635954b9be56061c31e185690854059d3cf821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3936",
    "kind": "arxiv",
    "version": 1
  }
}