Pith Number

pith:N4OFIVTB

pith:2011:N4OFIVTBUUA7HS7LNRDZ7J7XOJ

not attested not anchored not stored refs pending

A note on odd perfect numbers

Florian Luca, Jose Arnaldo B. Dris

arxiv:1103.1437 v6 · 2011-03-08 · 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{N4OFIVTBUUA7HS7LNRDZ7J7XOJ}

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	2026-05-18T00:55:39.751106Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1c545661a501f3cbeb6c479fa7f772562ba98eb6a42a9f2da6bb92caf4cc45

Aliases

arxiv: 1103.1437 · arxiv_version: 1103.1437v6 · doi: 10.48550/arxiv.1103.1437 · pith_short_12: N4OFIVTBUUA7 · pith_short_16: N4OFIVTBUUA7HS7L · pith_short_8: N4OFIVTB

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/N4OFIVTBUUA7HS7LNRDZ7J7XOJ \
  | 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: 6f1c545661a501f3cbeb6c479fa7f772562ba98eb6a42a9f2da6bb92caf4cc45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e61e1ba19bfd0887e193a19c4e5e1b44c1748092bccff3c32d5eb3ae24fef3cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-08T04:59:40Z",
    "title_canon_sha256": "eb3e48cd9da89643c798eb2a5c918380ba715cc970c22dc95eea2992adaddc4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1437",
    "kind": "arxiv",
    "version": 6
  }
}