Pith Number

pith:F344DFDL

pith:2019:F344DFDLSKF6WOS7ZKSRR2AHYY

not attested not anchored not stored refs pending

On the structure of order 4 class groups of $\mathbb{Q}(\sqrt{n^2+1})$

Azizul Hoque, Kalyan Chakraborty, Mohit Mishra

arxiv:1902.05250 v2 · 2019-02-14 · 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{F344DFDLSKF6WOS7ZKSRR2AHYY}

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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.

Cited by

1 paper in Pith

Lower bound for class number of certain real quadratic fields

Receipt and verification

First computed	2026-07-05T00:55:56.252511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ef9c1946b928beb3a5fcaa518e807c63c11d9a1c70083b1e3c384aadd7a0def

Aliases

arxiv: 1902.05250 · arxiv_version: 1902.05250v2 · doi: 10.48550/arxiv.1902.05250 · pith_short_12: F344DFDLSKF6 · pith_short_16: F344DFDLSKF6WOS7 · pith_short_8: F344DFDL

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/F344DFDLSKF6WOS7ZKSRR2AHYY \
  | 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: 2ef9c1946b928beb3a5fcaa518e807c63c11d9a1c70083b1e3c384aadd7a0def

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "803fbab1a04499cfb598381f12f40010dbde05fbc630fdfbe1042459f03b9fe0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-14T07:37:17Z",
    "title_canon_sha256": "b9e4f08cb9cda736198de77dff6cef0662ac4e5a71cffe8af515ef8d893f2e1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.05250",
    "kind": "arxiv",
    "version": 2
  }
}