Pith Number

pith:5IJEO3MR

pith:2018:5IJEO3MRXOGFF7NR4IA2R3VZFR

not attested not anchored not stored refs pending

A reduction theorem for nonsolvable finite groups

Felix Leinen, Francesco Fumagalli, Orazio Puglisi

arxiv:1805.05649 v1 · 2018-05-15 · 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{5IJEO3MRXOGFF7NR4IA2R3VZFR}

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	2026-05-18T00:15:59.945928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea12476d91bb8c52fdb1e201a8eeb92c6ee298130b05e5ed6fcbac142437cc1c

Aliases

arxiv: 1805.05649 · arxiv_version: 1805.05649v1 · doi: 10.48550/arxiv.1805.05649 · pith_short_12: 5IJEO3MRXOGF · pith_short_16: 5IJEO3MRXOGFF7NR · pith_short_8: 5IJEO3MR

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/5IJEO3MRXOGFF7NR4IA2R3VZFR \
  | 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: ea12476d91bb8c52fdb1e201a8eeb92c6ee298130b05e5ed6fcbac142437cc1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07c928ba3e3d4bc18c9700dd7f1b8064e13326c1a15c7bf004102bbff84768cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-05-15T08:58:55Z",
    "title_canon_sha256": "8e9f1370f94c57b8a78661150b20b185046b5301468fc7a37728f03ccd80b286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05649",
    "kind": "arxiv",
    "version": 1
  }
}