Pith Number

pith:XDKLELYL

pith:2013:XDKLELYLCXITVHBYSK2JHDQBL7

not attested not anchored not stored refs pending

The construction of finite solvable groups revisited

Bettina Eick, Max Horn

arxiv:1306.4239 v2 · 2013-06-18 · 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{XDKLELYLCXITVHBYSK2JHDQBL7}

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	2026-05-18T01:11:03.630333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d4b22f0b15d13a9c3892b4938e015fcaad161bbd38719f9df9b5cc08d095ae

Aliases

arxiv: 1306.4239 · arxiv_version: 1306.4239v2 · doi: 10.48550/arxiv.1306.4239 · pith_short_12: XDKLELYLCXIT · pith_short_16: XDKLELYLCXITVHBY · pith_short_8: XDKLELYL

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/XDKLELYLCXITVHBYSK2JHDQBL7 \
  | 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: b8d4b22f0b15d13a9c3892b4938e015fcaad161bbd38719f9df9b5cc08d095ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34445666f579abca6f05a1d9cc9c3e527a28a21e870dea3c3ea90599f2f7213f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-18T15:17:32Z",
    "title_canon_sha256": "507972e1b52c3191851842dc3c3f8a2f2a365f241041a1637b833bbd3c2eaed5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4239",
    "kind": "arxiv",
    "version": 2
  }
}