Pith Number

pith:O4HYTDXY

pith:2010:O4HYTDXY6YZ2D47MTZUXEU64MA

not attested not anchored not stored refs pending

On linear representations of Chevalley groups over commutative rings

Igor A. Rapinchuk

arxiv:1005.0422 v2 · 2010-05-03 · 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{O4HYTDXY6YZ2D47MTZUXEU64MA}

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	2026-05-18T02:58:02.171976Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

770f898ef8f633a1f3ec9e697253dc602ca4abafb73594d7096852cff5a1ae91

Aliases

arxiv: 1005.0422 · arxiv_version: 1005.0422v2 · doi: 10.48550/arxiv.1005.0422 · pith_short_12: O4HYTDXY6YZ2 · pith_short_16: O4HYTDXY6YZ2D47M · pith_short_8: O4HYTDXY

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/O4HYTDXY6YZ2D47MTZUXEU64MA \
  | 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: 770f898ef8f633a1f3ec9e697253dc602ca4abafb73594d7096852cff5a1ae91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f9be3f56c8b8edef8a66c1f91981c835086bebd9e7eb2bbf96d23e95b0b08e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-05-03T23:50:51Z",
    "title_canon_sha256": "7f748e9645f9820793790c12185e97c504ed84b1ae4238695040d3b1b04b8b25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0422",
    "kind": "arxiv",
    "version": 2
  }
}