Pith Number

pith:2QHNYMB2

pith:2018:2QHNYMB2JV5BGSDTYP3BZPJDFP

not attested not anchored not stored refs pending

A translation of Y. Benoist's "Propri\'et\'es asymptotiques des groupes lin\'eaires"

Ilia Smilga

arxiv:1811.06009 v1 · 2018-11-09 · math.GR · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2QHNYMB2JV5BGSDTYP3BZPJDFP}

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	2026-05-18T00:00:38.878502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40edc303a4d7a134873c3f61cbd232bdd5a23e2d8ae1d31cb862b12674787ab

Aliases

arxiv: 1811.06009 · arxiv_version: 1811.06009v1 · doi: 10.48550/arxiv.1811.06009 · pith_short_12: 2QHNYMB2JV5B · pith_short_16: 2QHNYMB2JV5BGSDT · pith_short_8: 2QHNYMB2

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/2QHNYMB2JV5BGSDTYP3BZPJDFP \
  | 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: d40edc303a4d7a134873c3f61cbd232bdd5a23e2d8ae1d31cb862b12674787ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a51f6c90b41de356770a52ac4b8eaf7e021990073c82753099d7f391bcea9bb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-11-09T10:54:29Z",
    "title_canon_sha256": "09549f0e5f4e6430a613747478f1eee6229ae5c5b8c3d79195ac928c552fb78d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.06009",
    "kind": "arxiv",
    "version": 1
  }
}