Pith Number

pith:PRJPILZ3

pith:2025:PRJPILZ3JN7E7GYIGJMWUTFXA3

not attested not anchored not stored refs pending

The imaginary case of the nonabelian Cohen--Lenstra heuristics

Ken Willyard, Yuan Liu

arxiv:2507.21558 v1 · 2025-07-29 · 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{PRJPILZ3JN7E7GYIGJMWUTFXA3}

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

Presentations of Galois groups of unramified extensions of global fields and its predicted distribution

Receipt and verification

First computed	2026-07-05T11:45:02.223450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c52f42f3b4b7e4f9b0832596a4cb706edb81f6d981575ba79e10b2db9ec0667

Aliases

arxiv: 2507.21558 · arxiv_version: 2507.21558v1 · doi: 10.48550/arxiv.2507.21558 · pith_short_12: PRJPILZ3JN7E · pith_short_16: PRJPILZ3JN7E7GYI · pith_short_8: PRJPILZ3

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/PRJPILZ3JN7E7GYIGJMWUTFXA3 \
  | 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: 7c52f42f3b4b7e4f9b0832596a4cb706edb81f6d981575ba79e10b2db9ec0667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a8c8782377325822c468f08c58b037f1b9ec0d7e0a54309ae340e74a8fc05c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-29T07:43:49Z",
    "title_canon_sha256": "1ffdf07e6e4df38b9057c914241c1ceda7842031dc1a9d9c2e007973d44d6249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21558",
    "kind": "arxiv",
    "version": 1
  }
}