Pith Number

pith:NMZ22RZ2

pith:2012:NMZ22RZ2FPDDUFFI2U3UKO3VGT

not attested not anchored not stored refs pending

Bounding group orders by large character degrees: A question of Snyder

Mark L. Lewis

arxiv:1206.4334 v2 · 2012-06-19 · 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{NMZ22RZ2FPDDUFFI2U3UKO3VGT}

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	2026-05-18T02:37:52.299360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b33ad473a2bc63a14a8d537453b7534cb4999fb48f6d2086fc9f97d22cccd80

Aliases

arxiv: 1206.4334 · arxiv_version: 1206.4334v2 · doi: 10.48550/arxiv.1206.4334 · pith_short_12: NMZ22RZ2FPDD · pith_short_16: NMZ22RZ2FPDDUFFI · pith_short_8: NMZ22RZ2

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/NMZ22RZ2FPDDUFFI2U3UKO3VGT \
  | 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: 6b33ad473a2bc63a14a8d537453b7534cb4999fb48f6d2086fc9f97d22cccd80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75a92bee6fea5ebae18712081fd2279961586c494e8d2f642c78e4838a4821aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-19T20:42:15Z",
    "title_canon_sha256": "fb632b36028d302f6397dca2ad2099634face8b9a8cec775096d155360790e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4334",
    "kind": "arxiv",
    "version": 2
  }
}