Pith Number

pith:LUKMXG4I

pith:2018:LUKMXG4IR5VVH7UQFLN3FUZFTI

not attested not anchored not stored refs pending

A Criterion for Solvability of a Finite Group by the Sum of Element Orders

Behrooz Khosravi, Morteza Baniasad Azad

arxiv:1808.00253 v1 · 2018-08-01 · 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{LUKMXG4IR5VVH7UQFLN3FUZFTI}

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	2026-05-18T00:09:06.696127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d14cb9b888f6b53fe902adbb2d3259a1949b090c56e9ca21f794068429c0acc

Aliases

arxiv: 1808.00253 · arxiv_version: 1808.00253v1 · doi: 10.48550/arxiv.1808.00253 · pith_short_12: LUKMXG4IR5VV · pith_short_16: LUKMXG4IR5VVH7UQ · pith_short_8: LUKMXG4I

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/LUKMXG4IR5VVH7UQFLN3FUZFTI \
  | 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: 5d14cb9b888f6b53fe902adbb2d3259a1949b090c56e9ca21f794068429c0acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4900caab9de9fe4b410991e9f3e4d13e9448ad25aab29a3fee1cea656a65fc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-01T10:29:48Z",
    "title_canon_sha256": "ba199942536ca187d1975092c3e7dff430519aea84012953c2b87e7631215254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.00253",
    "kind": "arxiv",
    "version": 1
  }
}