Pith Number

pith:3DSGVRUC

pith:2012:3DSGVRUCAJJO5HOYF5PMHNOGGI

not attested not anchored not stored refs pending

Topological radicals, IV. Frattini theory of Banach Lie algebras

Edward Kissin, Victor S. Shulman, Yuri V. Turovskii

arxiv:1208.4594 v1 · 2012-08-22 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3DSGVRUCAJJO5HOYF5PMHNOGGI}

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	2026-05-18T03:48:13.964212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8e46ac6820252ee9dd82f5ec3b5c6320311134957286468da6e619b6b3a6f52

Aliases

arxiv: 1208.4594 · arxiv_version: 1208.4594v1 · doi: 10.48550/arxiv.1208.4594 · pith_short_12: 3DSGVRUCAJJO · pith_short_16: 3DSGVRUCAJJO5HOY · pith_short_8: 3DSGVRUC

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/3DSGVRUCAJJO5HOYF5PMHNOGGI \
  | 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: d8e46ac6820252ee9dd82f5ec3b5c6320311134957286468da6e619b6b3a6f52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cb1a1c65509326e59bc59af972de34de3fc762129ef4e0885fe1fd931c681bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-08-22T19:51:03Z",
    "title_canon_sha256": "7214bd9dc6174b39d93f456d94c02b5b61a13c88bdf1253315cbe7e72a0808ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4594",
    "kind": "arxiv",
    "version": 1
  }
}