Pith Number

pith:FCHWYWUE

pith:2013:FCHWYWUED24GLNSX7HBSY4PE7L

not attested not anchored not stored refs pending

The Cohen-Lenstra heuristics, moments and $p^j$-ranks of some groups

Christophe Delaunay, Fr\'ed\'eric Jouhet

arxiv:1303.7337 v1 · 2013-03-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FCHWYWUED24GLNSX7HBSY4PE7L}

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	2026-05-18T03:29:28.749372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288f6c5a841eb865b657f9c32c71e4fae62ee55e238f53702a1bc6f3eb56aabf

Aliases

arxiv: 1303.7337 · arxiv_version: 1303.7337v1 · doi: 10.48550/arxiv.1303.7337 · pith_short_12: FCHWYWUED24G · pith_short_16: FCHWYWUED24GLNSX · pith_short_8: FCHWYWUE

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/FCHWYWUED24GLNSX7HBSY4PE7L \
  | 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: 288f6c5a841eb865b657f9c32c71e4fae62ee55e238f53702a1bc6f3eb56aabf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c73621b659ca1d95475376d5740e0f64373b9ad4cf033ff36a156386e0da159",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-03-29T09:18:54Z",
    "title_canon_sha256": "a40064939f5befbbd5b7ae80788e73f8a4cd405d79b3890a62acc97804175a4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7337",
    "kind": "arxiv",
    "version": 1
  }
}