Pith Number

pith:U2XTR5RU

pith:2011:U2XTR5RUSAF4IYFX6OYPJVIXQA

not attested not anchored not stored refs pending

A note on groups in which the centraliser of every element of order 5 is a 5-group

Chris Parker, Rebecca Waldecker, Sarah Astill

arxiv:1103.3581 v2 · 2011-03-18 · 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{U2XTR5RUSAF4IYFX6OYPJVIXQA}

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	2026-05-18T03:58:48.773267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6af38f634900bc460b7f3b0f4d5178001d2628fc814e512721ffb45ac605357

Aliases

arxiv: 1103.3581 · arxiv_version: 1103.3581v2 · doi: 10.48550/arxiv.1103.3581 · pith_short_12: U2XTR5RUSAF4 · pith_short_16: U2XTR5RUSAF4IYFX · pith_short_8: U2XTR5RU

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/U2XTR5RUSAF4IYFX6OYPJVIXQA \
  | 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: a6af38f634900bc460b7f3b0f4d5178001d2628fc814e512721ffb45ac605357

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4df3001808d1d2299a77e82d3e5fde6a70bd68e86d08cbd80f22d9580e2e185",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-18T09:46:25Z",
    "title_canon_sha256": "ebf9ba8dbfe064c561be53c9989a29ad23edcaafc1d172871e8f63d0f1f6d975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3581",
    "kind": "arxiv",
    "version": 2
  }
}