Pith Number

pith:C6FTMOWI

pith:2018:C6FTMOWIKEMMC3QL7IVQZKNCIQ

not attested not anchored not stored refs pending

Finite index subgroups in Chevalley groups are bounded: an addendum to "On bi-invariant word metrics"

Alexander A. Trost, Jarek K\k{e}dra, \'Swiatos{\l}aw R. Gal

arxiv:1808.06376 v2 · 2018-08-20 · 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{C6FTMOWIKEMMC3QL7IVQZKNCIQ}

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	2026-05-17T23:40:41.633157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

178b363ac85118c16e0bfa2b0ca9a2441233d058a864fec463cb029df4acc39a

Aliases

arxiv: 1808.06376 · arxiv_version: 1808.06376v2 · doi: 10.48550/arxiv.1808.06376 · pith_short_12: C6FTMOWIKEMM · pith_short_16: C6FTMOWIKEMMC3QL · pith_short_8: C6FTMOWI

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/C6FTMOWIKEMMC3QL7IVQZKNCIQ \
  | 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: 178b363ac85118c16e0bfa2b0ca9a2441233d058a864fec463cb029df4acc39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b344849b217919dae9b59f2b356c433a9b284c57274a8b9e0d41d70a16196c68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-08-20T10:21:43Z",
    "title_canon_sha256": "690f57fe1a811872208542fbc830a15234f541569b3f417ba420b9c02402e8cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06376",
    "kind": "arxiv",
    "version": 2
  }
}