Pith Number

pith:CQC5VWB7

pith:2015:CQC5VWB7KMHNHCX5WAOWAM2OU4

not attested not anchored not stored refs pending

Infinitude of $k$-Lehmer numbers which are not Carmichael

Nathan McNew, Thomas Wright

arxiv:1508.05547 v1 · 2015-08-22 · 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{CQC5VWB7KMHNHCX5WAOWAM2OU4}

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	2026-05-18T01:34:52.228078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1405dad83f530ed38afdb01d60334ea708e791024ee9fd5bee7f943c9e5e9fd3

Aliases

arxiv: 1508.05547 · arxiv_version: 1508.05547v1 · doi: 10.48550/arxiv.1508.05547 · pith_short_12: CQC5VWB7KMHN · pith_short_16: CQC5VWB7KMHNHCX5 · pith_short_8: CQC5VWB7

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/CQC5VWB7KMHNHCX5WAOWAM2OU4 \
  | 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: 1405dad83f530ed38afdb01d60334ea708e791024ee9fd5bee7f943c9e5e9fd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f59e514b94fac3136d6159afbdc9bfc8e65aafec4dd8584c16e295c248283656",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-22T22:47:07Z",
    "title_canon_sha256": "efd243d806941472132b4da9c045a8647a2b01633cfb81d38a63d2a6b4ab5705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05547",
    "kind": "arxiv",
    "version": 1
  }
}