Pith Number

pith:ODM75C4Y

pith:2012:ODM75C4YXJLYSRLHMLMLVFVOHI

not attested not anchored not stored refs pending

The commuting graph of a soluble group

Chris Parker

arxiv:1209.2279 v1 · 2012-09-11 · 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{ODM75C4YXJLYSRLHMLMLVFVOHI}

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	2026-05-18T02:57:53.280285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70d9fe8b98ba5789456762d8ba96ae3a1f5fe7f99d6711c0485334560dafe80c

Aliases

arxiv: 1209.2279 · arxiv_version: 1209.2279v1 · doi: 10.48550/arxiv.1209.2279 · pith_short_12: ODM75C4YXJLY · pith_short_16: ODM75C4YXJLYSRLH · pith_short_8: ODM75C4Y

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/ODM75C4YXJLYSRLHMLMLVFVOHI \
  | 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: 70d9fe8b98ba5789456762d8ba96ae3a1f5fe7f99d6711c0485334560dafe80c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f18110eac688f61e5d15c1b944b5c7c30cb0d394e1caa07fcee5b0ae974282",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-09-11T10:20:06Z",
    "title_canon_sha256": "a6bb6edb1b04de7f9b954b055f291506918413af9d3f200f7beb501fe86c7d9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2279",
    "kind": "arxiv",
    "version": 1
  }
}