Pith Number

pith:YR55CWAD

pith:2019:YR55CWAD7VPXBIAVS3WB6SXJZJ

not attested not anchored not stored refs pending

On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments

Caroline L. Turnage-Butterbaugh, Lillian B. Pierce, Melanie Matchett Wood

arxiv:1902.02008 v3 · 2019-02-06 · 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{YR55CWAD7VPXBIAVS3WB6SXJZJ}

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

Counterexamples for T\"urkelli's Modification on Malle's Conjecture

Receipt and verification

First computed	2026-07-05T02:38:26.669033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c47bd15803fd5f70a01596ec1f4ae9ca7f05c2c215435d823a29379ee1fdcecf

Aliases

arxiv: 1902.02008 · arxiv_version: 1902.02008v3 · doi: 10.48550/arxiv.1902.02008 · pith_short_12: YR55CWAD7VPX · pith_short_16: YR55CWAD7VPXBIAV · pith_short_8: YR55CWAD

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/YR55CWAD7VPXBIAVS3WB6SXJZJ \
  | 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: c47bd15803fd5f70a01596ec1f4ae9ca7f05c2c215435d823a29379ee1fdcecf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31a4ad7c38a1361339261f61658427de52a8bc0123512fa92ca784e8b6e67cea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-06T03:08:54Z",
    "title_canon_sha256": "878d40be74e1baf0fd47fc87d6f6cb0cb3bc75d3464bb3c49d18eb3fdbae9843"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02008",
    "kind": "arxiv",
    "version": 3
  }
}