Pith Number

pith:WEU7JOBH

pith:2011:WEU7JOBHCKZ3ODIOT4OJVV3AI4

not attested not anchored not stored refs pending

A family of Eisenstein polynomials generating totally ramified extensions, identification of extensions and construction of class fields

Maurizio Monge

arxiv:1109.4617 v2 · 2011-09-21 · 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{WEU7JOBHCKZ3ODIOT4OJVV3AI4}

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	2026-05-18T04:10:25.276672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b129f4b82712b3b70d0e9f1c9ad760470d6a4e08091145277850c7374823ae05

Aliases

arxiv: 1109.4617 · arxiv_version: 1109.4617v2 · doi: 10.48550/arxiv.1109.4617 · pith_short_12: WEU7JOBHCKZ3 · pith_short_16: WEU7JOBHCKZ3ODIO · pith_short_8: WEU7JOBH

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/WEU7JOBHCKZ3ODIOT4OJVV3AI4 \
  | 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: b129f4b82712b3b70d0e9f1c9ad760470d6a4e08091145277850c7374823ae05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b94b64ef74d3e1aa3d5dcce2459638848c00a3970cfbe748474d082fb62b2a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-21T19:20:16Z",
    "title_canon_sha256": "26c58d388053c25f248e696af73ee86911fb99d677a33b93f0f505ff57a8898e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4617",
    "kind": "arxiv",
    "version": 2
  }
}