Pith Number

pith:JOY7LT2T

pith:2008:JOY7LT2TBA3LD33UBZNIAS36ID

not attested not anchored not stored refs pending

Unitary super perfect numbers

Tomohiro Yamada

arxiv:0802.4377 v1 · 2008-02-29 · 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{JOY7LT2TBA3LD33UBZNIAS36ID}

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	2026-05-18T01:27:08.461760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb1f5cf530836b1ef740e5a804b7e40ccec1b3527090a2f650488699ada3fb9

Aliases

arxiv: 0802.4377 · arxiv_version: 0802.4377v1 · doi: 10.48550/arxiv.0802.4377 · pith_short_12: JOY7LT2TBA3L · pith_short_16: JOY7LT2TBA3LD33U · pith_short_8: JOY7LT2T

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/JOY7LT2TBA3LD33UBZNIAS36ID \
  | 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: 4bb1f5cf530836b1ef740e5a804b7e40ccec1b3527090a2f650488699ada3fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71959b25b96769dc88f5e566de255f46837c3c669c7c2cece6675f4b2d7d7dae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2008-02-29T12:36:45Z",
    "title_canon_sha256": "6dfd9b1d9645231c236f969ca0eb52fb924cc084702bfd8bcc88270ec6645605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4377",
    "kind": "arxiv",
    "version": 1
  }
}