Pith Number

pith:EEKBPZAK

pith:2012:EEKBPZAKGYBIW4UBCNIYNLUOXV

not attested not anchored not stored refs pending

Imaginary quadratic fields with isomorphic abelian Galois groups

Athanasios Angelakis, Peter Stevenhagen

arxiv:1209.6005 v2 · 2012-09-26 · 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{EEKBPZAKGYBIW4UBCNIYNLUOXV}

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	2026-05-18T03:03:44.703008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

211417e40a36028b7281135186ae8ebd6e841cf3447f9ffc2442380aa228b35c

Aliases

arxiv: 1209.6005 · arxiv_version: 1209.6005v2 · doi: 10.48550/arxiv.1209.6005 · pith_short_12: EEKBPZAKGYBI · pith_short_16: EEKBPZAKGYBIW4UB · pith_short_8: EEKBPZAK

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/EEKBPZAKGYBIW4UBCNIYNLUOXV \
  | 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: 211417e40a36028b7281135186ae8ebd6e841cf3447f9ffc2442380aa228b35c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eae40fd4c41701f4b960b4c291ad097503c9d85721888a6f091dbd6094812097",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-26T17:03:42Z",
    "title_canon_sha256": "92c670b3df5fa5cd44460c27024aef86853071d7ce9483816b5784553d39219a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6005",
    "kind": "arxiv",
    "version": 2
  }
}