Pith Number

pith:K3Y3V5MS

pith:2018:K3Y3V5MSQVJJIENXD4PFO7BTHS

not attested not anchored not stored refs pending

A fractal proof of the infinitude of primes

Kota Saito

arxiv:1810.05955 v2 · 2018-10-14 · math.HO · math.MG · 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{K3Y3V5MSQVJJIENXD4PFO7BTHS}

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	2026-05-17T23:48:55.307968Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56f1baf59285529411b71f1e577c333cae395b01ee70efde797491dcad73cafc

Aliases

arxiv: 1810.05955 · arxiv_version: 1810.05955v2 · doi: 10.48550/arxiv.1810.05955 · pith_short_12: K3Y3V5MSQVJJ · pith_short_16: K3Y3V5MSQVJJIENX · pith_short_8: K3Y3V5MS

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/K3Y3V5MSQVJJIENXD4PFO7BTHS \
  | 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: 56f1baf59285529411b71f1e577c333cae395b01ee70efde797491dcad73cafc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c13c6c53b38a77a6b07874721241bb9186494856724adb5abaf1dad80981e28",
    "cross_cats_sorted": [
      "math.MG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2018-10-14T02:48:55Z",
    "title_canon_sha256": "a9c195bd77f02ffa116803281d70458cab3609d1471122a4e959bc068390d4d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05955",
    "kind": "arxiv",
    "version": 2
  }
}