Pith Number

pith:5EZGQY4A

pith:2016:5EZGQY4ADOZ3GSJW4NHQO7BHGS

not attested not anchored not stored refs pending

Quasiperfect numbers with the same exponent

Tomohiro Yamada

arxiv:1610.01063 v3 · 2016-10-04 · 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{5EZGQY4ADOZ3GSJW4NHQO7BHGS}

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	2026-05-18T00:29:21.191217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9326863801bb3b34936e34f077c2734b2f4c7931422c9d507516163e8176988

Aliases

arxiv: 1610.01063 · arxiv_version: 1610.01063v3 · doi: 10.48550/arxiv.1610.01063 · pith_short_12: 5EZGQY4ADOZ3 · pith_short_16: 5EZGQY4ADOZ3GSJW · pith_short_8: 5EZGQY4A

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/5EZGQY4ADOZ3GSJW4NHQO7BHGS \
  | 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: e9326863801bb3b34936e34f077c2734b2f4c7931422c9d507516163e8176988

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d388fa951caf9b2d74fa8490bcd85c44bd38fbe41c0b8a5eaacf52bc8b3bcb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-04T16:09:35Z",
    "title_canon_sha256": "c4c223d6935f877c69e548c9f39d7efc5e1d3203755fd492fc2384971458a039"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01063",
    "kind": "arxiv",
    "version": 3
  }
}