Pith Number

pith:EJIQL5WR

pith:2012:EJIQL5WRY6PN2R2AAWQAKZPN2W

not attested not anchored not stored refs pending

Commutator width in Chevalley groups

Alexei Stepanov, Nikolai Vavilov, Roozbeh Hazrat, Zuhong Zhang

arxiv:1206.2128 v1 · 2012-06-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJIQL5WRY6PN2R2AAWQAKZPN2W}

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	2026-05-18T01:26:19.268153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

225105f6d1c79edd474005a00565edd59afd7575d04f1fcec3b79627e0b939b4

Aliases

arxiv: 1206.2128 · arxiv_version: 1206.2128v1 · doi: 10.48550/arxiv.1206.2128 · pith_short_12: EJIQL5WRY6PN · pith_short_16: EJIQL5WRY6PN2R2A · pith_short_8: EJIQL5WR

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/EJIQL5WRY6PN2R2AAWQAKZPN2W \
  | 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: 225105f6d1c79edd474005a00565edd59afd7575d04f1fcec3b79627e0b939b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae1bcd0a69561ac32a9239c947b8ef86e060cd8121c8603ff11c7020f5cf3fec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-06-11T08:39:19Z",
    "title_canon_sha256": "09d7f82e628be6f8cd471db33208186a3bbb1fa5250aac6f801133e567442d5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2128",
    "kind": "arxiv",
    "version": 1
  }
}