Pith Number

pith:V44TH6NI

pith:2013:V44TH6NIOPQLM23IIZE274V7X5

not attested not anchored not stored refs pending

The 4-class group of real quadratic number fields

Franz Lemmermeyer

arxiv:1310.6607 v1 · 2013-10-24 · 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{V44TH6NIOPQLM23IIZE274V7X5}

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	2026-05-18T03:09:08.925370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af3933f9a873e0b66b684649aff2bfbf71836f1196e8afb6b091569f99a60317

Aliases

arxiv: 1310.6607 · arxiv_version: 1310.6607v1 · doi: 10.48550/arxiv.1310.6607 · pith_short_12: V44TH6NIOPQL · pith_short_16: V44TH6NIOPQLM23I · pith_short_8: V44TH6NI

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/V44TH6NIOPQLM23IIZE274V7X5 \
  | 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: af3933f9a873e0b66b684649aff2bfbf71836f1196e8afb6b091569f99a60317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b9cfdf5b1fddfb02f2c39e545d74442cac22c953f39b91bf42549ab6a2d700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-24T13:24:32Z",
    "title_canon_sha256": "67c2f1558ab56a286ae66eecac6390a427ac061c67463ca88ec52d85778a6c87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6607",
    "kind": "arxiv",
    "version": 1
  }
}