Pith Number

pith:QWP2FS3W

pith:2025:QWP2FS3WLPW3RBN4MRG7BOEKQV

not attested not anchored not stored refs pending

A parametrization of $3$-class groups of quadratic rings over Dedekind domains

Ashvin A. Swaminathan, Eliot Hodges

arxiv:2509.01722 v1 · 2025-09-01 · 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{QWP2FS3WLPW3RBN4MRG7BOEKQV}

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	2026-07-05T12:03:06.715896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859fa2cb765bedb885bc644df0b88a85682723506a8787a58a671c572c1a1b3c

Aliases

arxiv: 2509.01722 · arxiv_version: 2509.01722v1 · doi: 10.48550/arxiv.2509.01722 · pith_short_12: QWP2FS3WLPW3 · pith_short_16: QWP2FS3WLPW3RBN4 · pith_short_8: QWP2FS3W

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/QWP2FS3WLPW3RBN4MRG7BOEKQV \
  | 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: 859fa2cb765bedb885bc644df0b88a85682723506a8787a58a671c572c1a1b3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079982bf5bac6c1d49a3ce7dff3788040e626faa44e8252711b7343cf0cec400",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-01T19:04:33Z",
    "title_canon_sha256": "c82abc0ca1ed53a1cdb99110c383028d4450fbca9a5ec7286a1e93a21cac8ca0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01722",
    "kind": "arxiv",
    "version": 1
  }
}