Pith Number

pith:JJM7TTVJ

pith:2018:JJM7TTVJQOJJXF452H4E6NWBF3

not attested not anchored not stored refs pending

Primitive weird numbers having more than three distinct prime factors

Gianluca Amato, Giuseppe Melfi, Maurizio Parton, Maximilian F. Hasler

arxiv:1803.00324 v1 · 2018-03-01 · 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{JJM7TTVJQOJJXF452H4E6NWBF3}

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	2026-05-18T00:22:12.602428Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a59f9cea983929b979dd1f84f36c12edc420a7e845a361278c837d4c2a9bdce

Aliases

arxiv: 1803.00324 · arxiv_version: 1803.00324v1 · doi: 10.48550/arxiv.1803.00324 · pith_short_12: JJM7TTVJQOJJ · pith_short_16: JJM7TTVJQOJJXF45 · pith_short_8: JJM7TTVJ

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/JJM7TTVJQOJJXF452H4E6NWBF3 \
  | 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: 4a59f9cea983929b979dd1f84f36c12edc420a7e845a361278c837d4c2a9bdce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df9d9415a09e7e289afa17f6eeafcb3c6a497f9669fd0b5ce528b9d12ec61f51",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-01T12:00:43Z",
    "title_canon_sha256": "200e0bcdc13af1181c9c3a2d7eedf780136ab072cacdffa22ab4f070a82d22c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.00324",
    "kind": "arxiv",
    "version": 1
  }
}