Pith Number

pith:A3WWUUR2

pith:2012:A3WWUUR2DR65JQPTHC4TDGUANP

not attested not anchored not stored refs pending

Quadratic fields with cyclic 2-class groups

Carlos Dominguez, Siman Wong, Steven J. Miller

arxiv:1211.2605 v1 · 2012-11-12 · 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{A3WWUUR2DR65JQPTHC4TDGUANP}

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	2026-05-18T03:41:02.834801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06ed6a523a1c7dd4c1f338b9319a806be0c6df4c6ee1f9e425824df10b04c8df

Aliases

arxiv: 1211.2605 · arxiv_version: 1211.2605v1 · doi: 10.48550/arxiv.1211.2605 · pith_short_12: A3WWUUR2DR65 · pith_short_16: A3WWUUR2DR65JQPT · pith_short_8: A3WWUUR2

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/A3WWUUR2DR65JQPTHC4TDGUANP \
  | 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: 06ed6a523a1c7dd4c1f338b9319a806be0c6df4c6ee1f9e425824df10b04c8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc28f987c5595274c51f7b4c48318186895e7687577865f76e25002dab22302",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-12T13:16:41Z",
    "title_canon_sha256": "940423ddab204502ccdc02a5ad1b7276a097220a8a09b973504cedb35242b536"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2605",
    "kind": "arxiv",
    "version": 1
  }
}