Pith Number

pith:QYZFQDDP

pith:2010:QYZFQDDPRG5LJIYSB4QLWNREH4

not attested not anchored not stored refs pending

Invariable generation and the chebotarev invariant of a finite group

A. Lubotzky, And A. Shalev, W. M. Kantor

arxiv:1010.5722 v2 · 2010-10-27 · 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{QYZFQDDPRG5LJIYSB4QLWNREH4}

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	2026-05-18T04:17:24.998122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8632580c6f89bab4a3120f20bb36243f0e3bd31f7fc0361f1bf8dd88a89e7a31

Aliases

arxiv: 1010.5722 · arxiv_version: 1010.5722v2 · doi: 10.48550/arxiv.1010.5722 · pith_short_12: QYZFQDDPRG5L · pith_short_16: QYZFQDDPRG5LJIYS · pith_short_8: QYZFQDDP

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/QYZFQDDPRG5LJIYSB4QLWNREH4 \
  | 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: 8632580c6f89bab4a3120f20bb36243f0e3bd31f7fc0361f1bf8dd88a89e7a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee84d51db9d50e168a9ab1cf18c8386a800434cdfe8b2b76ad0fdb82e3541134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-10-27T15:55:22Z",
    "title_canon_sha256": "3ec13c60b1160b3e9d0385ad9498fa1232b447adbfc81fd7dccc14c5a338ac1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5722",
    "kind": "arxiv",
    "version": 2
  }
}