Pith Number

pith:HKYAQVWU

pith:2018:HKYAQVWUTUIHKPZTMVMWQUCOWB

not attested not anchored not stored refs pending

Exponents of class groups of certain imaginary quadratic fields

Azizul Hoque, Kalyan Chakraborty

arxiv:1801.00392 v2 · 2018-01-01 · 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{HKYAQVWUTUIHKPZTMVMWQUCOWB}

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.

Cited by

1 paper in Pith

Branched covers of $\mathbb{P}^1$ and divisibility in class group

Receipt and verification

First computed	2026-07-05T00:02:10.853073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ab00856d49d10753f33655968504eb07a9c57499295abf511c28cd3c44eae35

Aliases

arxiv: 1801.00392 · arxiv_version: 1801.00392v2 · doi: 10.48550/arxiv.1801.00392 · pith_short_12: HKYAQVWUTUIH · pith_short_16: HKYAQVWUTUIHKPZT · pith_short_8: HKYAQVWU

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/HKYAQVWUTUIHKPZTMVMWQUCOWB \
  | 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: 3ab00856d49d10753f33655968504eb07a9c57499295abf511c28cd3c44eae35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e146f8a0ae714ec28bbd04df4d25092300bf0decf05bc78ae442e9fcf98e7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-01T04:29:11Z",
    "title_canon_sha256": "dff23a40be5deb9ef1874a2fcfd3c6be42bf453136c52d06482f56672afbce67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.00392",
    "kind": "arxiv",
    "version": 2
  }
}