Pith Number

pith:HJU6H6GR

pith:2015:HJU6H6GRLSJIKRIVDEHVA7RLT3

not attested not anchored not stored refs pending

On integers $n$ for which $X^n-1$ has a divisor of every degree

Andreas Weingartner, Carl Pomerance, Lola Thompson

arxiv:1511.03357 v1 · 2015-11-11 · 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{HJU6H6GRLSJIKRIVDEHVA7RLT3}

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	2026-05-18T01:27:15.652634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a69e3f8d15c92854515190f507e2b9ee06b4cf8308e2e9a59fb191b9c00e2ef

Aliases

arxiv: 1511.03357 · arxiv_version: 1511.03357v1 · doi: 10.48550/arxiv.1511.03357 · pith_short_12: HJU6H6GRLSJI · pith_short_16: HJU6H6GRLSJIKRIV · pith_short_8: HJU6H6GR

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/HJU6H6GRLSJIKRIVDEHVA7RLT3 \
  | 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: 3a69e3f8d15c92854515190f507e2b9ee06b4cf8308e2e9a59fb191b9c00e2ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3a0f78f4da775a000208172b9543f54c42f3097a054563012fe361c9e9cbef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-11-11T02:04:58Z",
    "title_canon_sha256": "b977d73d1c7e1f402ab9d8766feed419696d86eb7eae10b09d3192613c593934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03357",
    "kind": "arxiv",
    "version": 1
  }
}