Pith Number

pith:RA2DENAB

pith:2014:RA2DENABBYCIRYETNINKAB3GR5

not attested not anchored not stored refs pending

Principalization of $2$-class groups of type $(2,2,2)$ of biquadratic fields $\mathbb{Q}\left(\sqrt{\strut p_1p_2q},\sqrt{\strut -1}\right)$

Abdelkader Zekhnini, Abdelmalek Azizi, Daniel C. Mayer, Mohammed Taous

arxiv:1404.3761 v1 · 2014-04-14 · 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{RA2DENABBYCIRYETNINKAB3GR5}

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	2026-05-18T02:54:13.704897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88343234010e0488e0936a1aa007668f6095dbf4145f8541b26c565d79364060

Aliases

arxiv: 1404.3761 · arxiv_version: 1404.3761v1 · doi: 10.48550/arxiv.1404.3761 · pith_short_12: RA2DENABBYCI · pith_short_16: RA2DENABBYCIRYET · pith_short_8: RA2DENAB

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/RA2DENABBYCIRYETNINKAB3GR5 \
  | 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: 88343234010e0488e0936a1aa007668f6095dbf4145f8541b26c565d79364060

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4d2318246fa7cd209ce2c0500be6ecf7330c5d8fcbbf34f7a16d4ed67d14549",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-14T21:37:07Z",
    "title_canon_sha256": "5f31e2da17e41b79f25c097c7be307b9c55b9b1b2c0adbf1942b8776bc8dafed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3761",
    "kind": "arxiv",
    "version": 1
  }
}