Pith Number

pith:64SOT7L6

pith:2011:64SOT7L6COPYAHXGOU6L24VUYV

not attested not anchored not stored refs pending

On a variant of Giuga numbers

Antonio M. Oller-Marcen, Florian Luca, Jose Maria Grau

arxiv:1103.3428 v1 · 2011-03-17 · 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{64SOT7L6COPYAHXGOU6L24VUYV}

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	2026-05-18T04:26:33.710949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f724e9fd7e139f801ee6753cbd72b4c564871cb58d36355070d74d7c899cc967

Aliases

arxiv: 1103.3428 · arxiv_version: 1103.3428v1 · doi: 10.48550/arxiv.1103.3428 · pith_short_12: 64SOT7L6COPY · pith_short_16: 64SOT7L6COPYAHXG · pith_short_8: 64SOT7L6

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/64SOT7L6COPYAHXGOU6L24VUYV \
  | 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: f724e9fd7e139f801ee6753cbd72b4c564871cb58d36355070d74d7c899cc967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79faec8fda15a4b2d5332f426f2200ad9ff291ea11042d6bb2a3fe75ff7280e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-17T14:57:13Z",
    "title_canon_sha256": "860624e47c790aaa443a7b625596f8dbb5ffdc28db20df194a2ed68c79c41f59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3428",
    "kind": "arxiv",
    "version": 1
  }
}