Pith Number

pith:YZZ5R5UX

pith:2012:YZZ5R5UXOYS64JB4WORC45XUR2

not attested not anchored not stored refs pending

Enumerating classes and characters of p-groups

C. Voll, E. A. O'Brien

arxiv:1203.3050 v2 · 2012-03-14 · 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{YZZ5R5UXOYS64JB4WORC45XUR2}

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	2026-05-18T03:14:08.785961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c673d8f6977625ee243cb3a22e76f48e828fcaf1f11cda88c4318505a99597c0

Aliases

arxiv: 1203.3050 · arxiv_version: 1203.3050v2 · doi: 10.48550/arxiv.1203.3050 · pith_short_12: YZZ5R5UXOYS6 · pith_short_16: YZZ5R5UXOYS64JB4 · pith_short_8: YZZ5R5UX

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/YZZ5R5UXOYS64JB4WORC45XUR2 \
  | 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: c673d8f6977625ee243cb3a22e76f48e828fcaf1f11cda88c4318505a99597c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e694811c97265f1246e75898d3d62c532b8b44f8e73b56b295f648f56984db0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-14T11:18:21Z",
    "title_canon_sha256": "0776cf1ac45614241e7cce813f1bcf773c578fa33cb22b5520c3613d6b7edc2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3050",
    "kind": "arxiv",
    "version": 2
  }
}