Pith Number

pith:ZC4CKSTJ

pith:2015:ZC4CKSTJ4AIEQKFDSQTC3CPVCO

not attested not anchored not stored refs pending

Extreme values of class numbers of real quadratic fields

Youness Lamzouri

arxiv:1501.01003 v2 · 2015-01-05 · 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{ZC4CKSTJ4AIEQKFDSQTC3CPVCO}

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	2026-05-18T02:27:50.843460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8b8254a69e0104828a394262d89f5139f1818d05ec4e8ce3c4e6f1145b1b281

Aliases

arxiv: 1501.01003 · arxiv_version: 1501.01003v2 · doi: 10.48550/arxiv.1501.01003 · pith_short_12: ZC4CKSTJ4AIE · pith_short_16: ZC4CKSTJ4AIEQKFD · pith_short_8: ZC4CKSTJ

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/ZC4CKSTJ4AIEQKFDSQTC3CPVCO \
  | 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: c8b8254a69e0104828a394262d89f5139f1818d05ec4e8ce3c4e6f1145b1b281

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "311754b345edacb5552e28065c3406b6a400f376b359a9cd3a9059fd53fea9b7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-01-05T21:05:07Z",
    "title_canon_sha256": "703ff9a9e95ec975515b74beb13556c92f06daf4bd4fb82142a9c675814066fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01003",
    "kind": "arxiv",
    "version": 2
  }
}