Pith Number

pith:B34T6AC3

pith:2012:B34T6AC3ZYZ2PLIUI3T7Z5LWPW

not attested not anchored not stored refs pending

On the degrees of divisors of T^n-1

Lola Thompson, Paul Pollack

arxiv:1206.2084 v1 · 2012-06-11 · 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{B34T6AC3ZYZ2PLIUI3T7Z5LWPW}

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	2026-05-18T03:53:53.513163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ef93f005bce33a7ad1446e7fcf5767da96a8f95aa610721143c8dd212d51e97

Aliases

arxiv: 1206.2084 · arxiv_version: 1206.2084v1 · doi: 10.48550/arxiv.1206.2084 · pith_short_12: B34T6AC3ZYZ2 · pith_short_16: B34T6AC3ZYZ2PLIU · pith_short_8: B34T6AC3

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/B34T6AC3ZYZ2PLIUI3T7Z5LWPW \
  | 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: 0ef93f005bce33a7ad1446e7fcf5767da96a8f95aa610721143c8dd212d51e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c53156abf81441e73751f23c6926283fd940e2909d5d94596157c5d041602da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-11T02:28:55Z",
    "title_canon_sha256": "c75a959c892f883afba6f88e65077021b29bf0c043908cad70c7de87c65fd8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2084",
    "kind": "arxiv",
    "version": 1
  }
}