Pith Number

pith:RN4Z3FTT

pith:2012:RN4Z3FTTK4QLDIMOVDDSGTE35Z

not attested not anchored not stored refs pending

Improvements in the computation of ideal class groups of imaginary quadratic number fields

Jean-Fran\c{c}ois Biasse

arxiv:1204.1300 v1 · 2012-04-05 · math.NT · cs.SC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RN4Z3FTTK4QLDIMOVDDSGTE35Z}

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	2026-05-18T03:58:26.964125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b799d96735720b1a18ea8c7234c9bee71f8d3d7db801b036bf1b0f7d5230b9b

Aliases

arxiv: 1204.1300 · arxiv_version: 1204.1300v1 · doi: 10.48550/arxiv.1204.1300 · pith_short_12: RN4Z3FTTK4QL · pith_short_16: RN4Z3FTTK4QLDIMO · pith_short_8: RN4Z3FTT

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/RN4Z3FTTK4QLDIMOVDDSGTE35Z \
  | 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: 8b799d96735720b1a18ea8c7234c9bee71f8d3d7db801b036bf1b0f7d5230b9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e2e13e93f1bdbec4c19b6e2c3e2318253d49e130c3a2f4545482d8b0f5c172",
    "cross_cats_sorted": [
      "cs.SC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-05T18:27:51Z",
    "title_canon_sha256": "3e024ff7dcc890ad34d64748a1ec149395c4f79ee88564b43891c5e201ee1227"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1300",
    "kind": "arxiv",
    "version": 1
  }
}