Pith Number

pith:VM5AHWET

pith:2015:VM5AHWETNHFUITEXACYCYNHBVN

not attested not anchored not stored refs pending

Primitive prime divisors and the $n$-th cyclotomic polynomial

Alice C. Niemeyer, Cheryl E. Praeger, Frank L\"ubeck, S. P. Glasby

arxiv:1504.02598 v4 · 2015-04-10 · 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{VM5AHWETNHFUITEXACYCYNHBVN}

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	2026-05-18T01:02:57.044596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3a03d89369cb444c9700b02c34e1ab77fa258789344ab04424f2426c917c8a

Aliases

arxiv: 1504.02598 · arxiv_version: 1504.02598v4 · doi: 10.48550/arxiv.1504.02598 · pith_short_12: VM5AHWETNHFU · pith_short_16: VM5AHWETNHFUITEX · pith_short_8: VM5AHWET

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/VM5AHWETNHFUITEXACYCYNHBVN \
  | 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: ab3a03d89369cb444c9700b02c34e1ab77fa258789344ab04424f2426c917c8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3579a874ecb0e4f5792b726c746f3b8c06ece703511607261dc86c1264021b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-10T09:10:38Z",
    "title_canon_sha256": "34398efbd107d26b2095101071a14431a1a56817aa2794de5d4c8e71e2822a2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02598",
    "kind": "arxiv",
    "version": 4
  }
}