Pith Number

pith:RLXFPKZH

pith:2024:RLXFPKZHZ6756BZMHDUXXAMZF6

not attested not anchored not stored refs pending

On the Distribution of Class Groups of Abelian Extensions

Yuan Liu

arxiv:2411.19318 v1 · 2024-11-28 · 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{RLXFPKZHZ6756BZMHDUXXAMZF6}

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.

Cited by

1 paper in Pith

Recent Progress around Cohen-Lenstra Heuristics

Receipt and verification

First computed	2026-07-05T09:42:00.722920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8aee57ab27cfbfdf072c38e97b81992fa71007166b059bac4b4968fbbdb9b8a7

Aliases

arxiv: 2411.19318 · arxiv_version: 2411.19318v1 · doi: 10.48550/arxiv.2411.19318 · pith_short_12: RLXFPKZHZ675 · pith_short_16: RLXFPKZHZ6756BZM · pith_short_8: RLXFPKZH

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/RLXFPKZHZ6756BZMHDUXXAMZF6 \
  | 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: 8aee57ab27cfbfdf072c38e97b81992fa71007166b059bac4b4968fbbdb9b8a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ad9a9e57525f20eaa1e69e0e16fe63007a136cc332130d727dc132277a73e59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-11-28T18:43:36Z",
    "title_canon_sha256": "2ccf55f3d3f4068409cc3919b2d14fe52848c627e314a95636d89e860e07defd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.19318",
    "kind": "arxiv",
    "version": 1
  }
}