Pith Number

pith:VR6NG7MI

pith:2012:VR6NG7MIXNZJXNDH7R3FSYGATG

not attested not anchored not stored refs pending

Variations on a question concerning the degrees of divisors of x^n-1

Lola Thompson

arxiv:1206.4355 v1 · 2012-06-14 · 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{VR6NG7MIXNZJXNDH7R3FSYGATG}

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	2026-05-18T03:53:06.119309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac7cd37d88bb729bb467fc765960c0999696bfb41b9e8e0e9b3b828b5fc721ae

Aliases

arxiv: 1206.4355 · arxiv_version: 1206.4355v1 · doi: 10.48550/arxiv.1206.4355 · pith_short_12: VR6NG7MIXNZJ · pith_short_16: VR6NG7MIXNZJXNDH · pith_short_8: VR6NG7MI

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/VR6NG7MIXNZJXNDH7R3FSYGATG \
  | 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: ac7cd37d88bb729bb467fc765960c0999696bfb41b9e8e0e9b3b828b5fc721ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c84165bf68fec6d2b87167bb8cf17098f043d743a23e3f299e762d42c8189ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-14T21:42:32Z",
    "title_canon_sha256": "e34fce9cca1fcb97af6f5f2816bae6b3c5112521fd199326da1ca4fa9d55a1f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4355",
    "kind": "arxiv",
    "version": 1
  }
}