Pith Number

pith:TXXB7V4B

pith:2015:TXXB7V4BEHBDZ6HBAU2PND5FJ7

not attested not anchored not stored refs pending

A new look at the decomposition of unipotents and the normal structure of Chevalley groups

Alexei Stepanov

arxiv:1512.02299 v2 · 2015-12-08 · math.RA · 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{TXXB7V4BEHBDZ6HBAU2PND5FJ7}

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	2026-05-18T00:24:54.559324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dee1fd78121c23cf8e10534f68fa54fd4149e5b0a92f436550a412f97f7f45c

Aliases

arxiv: 1512.02299 · arxiv_version: 1512.02299v2 · doi: 10.48550/arxiv.1512.02299 · pith_short_12: TXXB7V4BEHBD · pith_short_16: TXXB7V4BEHBDZ6HB · pith_short_8: TXXB7V4B

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/TXXB7V4BEHBDZ6HBAU2PND5FJ7 \
  | 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: 9dee1fd78121c23cf8e10534f68fa54fd4149e5b0a92f436550a412f97f7f45c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "517c5d23376b69c915bfaf1be1873fd2fdb9bfa75cc4beb8a40fc64b9b319298",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-08T01:25:59Z",
    "title_canon_sha256": "1c83a4e9fabe7633562854be1c92ab5320bbd5ef59213dcf96a01e5894844497"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02299",
    "kind": "arxiv",
    "version": 2
  }
}