Pith Number

pith:A2TB7BLG

pith:2013:A2TB7BLGEEQJTM6J4XEXHPH6SN

not attested not anchored not stored refs pending

A Characterization of the Prime Graphs of Solvable Groups

Alexander Gruber, Benjamin Strasser, Keeley Naughton, Mark Lewis, Thomas Keller

arxiv:1305.2368 v1 · 2013-05-10 · 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{A2TB7BLGEEQJTM6J4XEXHPH6SN}

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	2026-05-18T03:26:00.192586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06a61f8566212099b3c9e5c973bcfe935cd06a109396674f93f2799d810fb037

Aliases

arxiv: 1305.2368 · arxiv_version: 1305.2368v1 · doi: 10.48550/arxiv.1305.2368 · pith_short_12: A2TB7BLGEEQJ · pith_short_16: A2TB7BLGEEQJTM6J · pith_short_8: A2TB7BLG

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/A2TB7BLGEEQJTM6J4XEXHPH6SN \
  | 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: 06a61f8566212099b3c9e5c973bcfe935cd06a109396674f93f2799d810fb037

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebf210c768c3297c1a3be328641490e7b9891869f101bcc9a68a3bcd1cd6fb02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-05-10T15:32:24Z",
    "title_canon_sha256": "2e9c6cdf72afd12b0168fac6806a0307771aad75665ceffe422e0270e99e5e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2368",
    "kind": "arxiv",
    "version": 1
  }
}