Pith Number

pith:UJDRPISB

pith:2023:UJDRPISBHWWIEEUHANKIGGUFVR

not attested not anchored not stored refs pending

On inequalities involving counts of the prime factors of an odd perfect number

Cody S. Hansen, Graeme Clayton

arxiv:2303.11974 v1 · 2023-03-21 · 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{UJDRPISBHWWIEEUHANKIGGUFVR}

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	2026-07-05T05:53:24.215016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a24717a2413dac8212870354831a85ac4fb3764acce19ced040b42527d588e24

Aliases

arxiv: 2303.11974 · arxiv_version: 2303.11974v1 · doi: 10.48550/arxiv.2303.11974 · pith_short_12: UJDRPISBHWWI · pith_short_16: UJDRPISBHWWIEEUH · pith_short_8: UJDRPISB

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/UJDRPISBHWWIEEUHANKIGGUFVR \
  | 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: a24717a2413dac8212870354831a85ac4fb3764acce19ced040b42527d588e24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab5f52635fa6ebb59770969d96b484199cbc6075688acce07c8935f7b672db54",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-03-21T16:07:38Z",
    "title_canon_sha256": "310e375855bed0825b39b1a2d77c968b9694f0432fad5c41c2f936cbb3e97d14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11974",
    "kind": "arxiv",
    "version": 1
  }
}