Pith Number

pith:IMHUPY6D

pith:2015:IMHUPY6D24342NYJZKHUOELPDM

not attested not anchored not stored refs pending

On complemented non-abelian chief factors of a Lie algebra

David A. Towers, Zekiye Ciloglu

arxiv:1509.07282 v1 · 2015-09-24 · math.RA · math.GR · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMHUPY6D24342NYJZKHUOELPDM}

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	2026-05-18T01:32:09.403112Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

430f47e3c3d737cd3709ca8f47116f1b30372d153f4831d417c6481d02245101

Aliases

arxiv: 1509.07282 · arxiv_version: 1509.07282v1 · doi: 10.48550/arxiv.1509.07282 · pith_short_12: IMHUPY6D2434 · pith_short_16: IMHUPY6D24342NYJ · pith_short_8: IMHUPY6D

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/IMHUPY6D24342NYJZKHUOELPDM \
  | 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: 430f47e3c3d737cd3709ca8f47116f1b30372d153f4831d417c6481d02245101

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3df0adc2ad519893f6dfd1b752a0959c9817bd0752353119f0b3b0d9ac071951",
    "cross_cats_sorted": [
      "math.GR",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-09-24T09:22:47Z",
    "title_canon_sha256": "f588bcfb1f8a9a902bc98b67e11851608f67d1358c44ba4a93f91e1a8788b5e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07282",
    "kind": "arxiv",
    "version": 1
  }
}