Pith Number

pith:N3Y4W7HN

pith:2011:N3Y4W7HN6ZD7SLQQMMOQEGJAJX

not attested not anchored not stored refs pending

Completely normal elements in finite abelian extensions

Dong Hwa Shin, Ja Kung Koo

arxiv:1110.1852 v2 · 2011-10-09 · 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{N3Y4W7HN6ZD7SLQQMMOQEGJAJX}

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	2026-05-18T04:07:31.980017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ef1cb7cedf647f92e10631d0219204df3b67fce9059d1894478b24b0f172ceb

Aliases

arxiv: 1110.1852 · arxiv_version: 1110.1852v2 · doi: 10.48550/arxiv.1110.1852 · pith_short_12: N3Y4W7HN6ZD7 · pith_short_16: N3Y4W7HN6ZD7SLQQ · pith_short_8: N3Y4W7HN

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/N3Y4W7HN6ZD7SLQQMMOQEGJAJX \
  | 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: 6ef1cb7cedf647f92e10631d0219204df3b67fce9059d1894478b24b0f172ceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0f391d6a068e52dcdf52dc9f8865895510f6690dd68544b28bf61547aba8aaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-09T16:22:15Z",
    "title_canon_sha256": "66056bcb609d8bc44621f3ec7c82e9c3ddb1f43a33633d2ad7f3a96c0c698460"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1852",
    "kind": "arxiv",
    "version": 2
  }
}