Pith Number

pith:LCZXFQBY

pith:2011:LCZXFQBYCJSCNLQLFPJGA5FGGT

not attested not anchored not stored refs pending

Enumerating maximal definite quadratic forms of bounded class number over Z in n >= 3 variables

Jonathan Hanke

arxiv:1110.1876 v1 · 2011-10-09 · 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{LCZXFQBYCJSCNLQLFPJGA5FGGT}

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	2026-05-18T04:11:19.440660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58b372c038126426ae0b2bd26074a634c91a2c037d0a70c0d9972a8643e3539c

Aliases

arxiv: 1110.1876 · arxiv_version: 1110.1876v1 · doi: 10.48550/arxiv.1110.1876 · pith_short_12: LCZXFQBYCJSC · pith_short_16: LCZXFQBYCJSCNLQL · pith_short_8: LCZXFQBY

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/LCZXFQBYCJSCNLQLFPJGA5FGGT \
  | 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: 58b372c038126426ae0b2bd26074a634c91a2c037d0a70c0d9972a8643e3539c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54d4967d7749395be50115436c3c89addff08ff1fd60c7cd1b42ebe236b9119f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-10-09T19:35:09Z",
    "title_canon_sha256": "aa7b962353684594fb5d0178728bc1f82e7dd1f3fc1fe95c54067875cd9eaae0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1876",
    "kind": "arxiv",
    "version": 1
  }
}