Pith Number

pith:2YLBMHDH

pith:2015:2YLBMHDHMPDS7D26U5XGKU743N

not attested not anchored not stored refs pending

The Chebotarev invariant of a finite group: a conjecture of Kowalski and Zywina

Andrea Lucchini

arxiv:1509.05859 v2 · 2015-09-19 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YLBMHDHMPDS7D26U5XGKU743N}

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	2026-05-18T01:20:51.946631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d616161c6763c72f8f5ea76e6553fcdb4625ac5ea8a20617f108619cc3b438d4

Aliases

arxiv: 1509.05859 · arxiv_version: 1509.05859v2 · doi: 10.48550/arxiv.1509.05859 · pith_short_12: 2YLBMHDHMPDS · pith_short_16: 2YLBMHDHMPDS7D26 · pith_short_8: 2YLBMHDH

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/2YLBMHDHMPDS7D26U5XGKU743N \
  | 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: d616161c6763c72f8f5ea76e6553fcdb4625ac5ea8a20617f108619cc3b438d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2406802b0430bd8d6029e055e534229559b7e70edaa2343655762dea7398a1c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-09-19T08:12:16Z",
    "title_canon_sha256": "ad1bdf63b6e90efec9084a2c17782d14aad651b414a2edfdeb66577a08f9e243"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05859",
    "kind": "arxiv",
    "version": 2
  }
}