Pith Number

pith:I74H4GUK

pith:2011:I74H4GUKCPTFFSZDNJXBZCGIZP

not attested not anchored not stored refs pending

Odd Multiperfect Numbers

Hao Luo, Shi-Chao Chen

arxiv:1102.4396 v1 · 2011-02-22 · 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{I74H4GUKCPTFFSZDNJXBZCGIZP}

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	2026-05-18T04:28:09.056292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47f87e1a8a13e652cb236a6e1c88c8cbca788b35a7eb441e0b67e7cc652e126c

Aliases

arxiv: 1102.4396 · arxiv_version: 1102.4396v1 · doi: 10.48550/arxiv.1102.4396 · pith_short_12: I74H4GUKCPTF · pith_short_16: I74H4GUKCPTFFSZD · pith_short_8: I74H4GUK

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/I74H4GUKCPTFFSZDNJXBZCGIZP \
  | 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: 47f87e1a8a13e652cb236a6e1c88c8cbca788b35a7eb441e0b67e7cc652e126c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae73cce3a90692d5de5686e6eae8122b42551a3cdd7c0ff4f3003565ae037bd7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-02-22T03:34:10Z",
    "title_canon_sha256": "42d27caac130c8d4f8a1aea28fe427f8f5cc172ac0ebb6e4d9b3ca7e7277fef2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4396",
    "kind": "arxiv",
    "version": 1
  }
}