Pith Number

pith:V2IMF4NI

pith:2018:V2IMF4NIKWU6V4Q2UI4NYIMBK7

not attested not anchored not stored refs pending

Share at least half the numbers in a nontrivial LCM-closed set a nontrivial divisor?

Tom Fischer

arxiv:1808.09247 v1 · 2018-08-28 · 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{V2IMF4NIKWU6V4Q2UI4NYIMBK7}

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	2026-05-18T00:07:01.931511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae90c2f1a855a9eaf21aa238dc218157d417b5f2225e15ce90c53881e24a6766

Aliases

arxiv: 1808.09247 · arxiv_version: 1808.09247v1 · doi: 10.48550/arxiv.1808.09247 · pith_short_12: V2IMF4NIKWU6 · pith_short_16: V2IMF4NIKWU6V4Q2 · pith_short_8: V2IMF4NI

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/V2IMF4NIKWU6V4Q2UI4NYIMBK7 \
  | 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: ae90c2f1a855a9eaf21aa238dc218157d417b5f2225e15ce90c53881e24a6766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e971cb68c85de0c3feb0b00ce707c0801a026933c0cf960dcb228677ffa63572",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-28T12:22:56Z",
    "title_canon_sha256": "2a6141f92721069b86d8648635e1aadbb00e70362f61c6a18eb235045f43daa1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.09247",
    "kind": "arxiv",
    "version": 1
  }
}