Pith Number

pith:KK3BRJRM

pith:2011:KK3BRJRMN6NPRSDC4372M45WJU

not attested not anchored not stored refs pending

Conjugacy theorems for loop reductive group schemes and Lie algebras

Arturo Pianzola, Philippe Gille (ICJ), V. Chernousov

arxiv:1109.5236 v2 · 2011-09-24 · math.RA · math.AG · 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{KK3BRJRMN6NPRSDC4372M45WJU}

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	2026-05-18T02:47:16.373506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b618a62c6f9af8c862e6ffa673b64d0f2f7aaac917e3a5ce321ece54cc1038

Aliases

arxiv: 1109.5236 · arxiv_version: 1109.5236v2 · doi: 10.48550/arxiv.1109.5236 · pith_short_12: KK3BRJRMN6NP · pith_short_16: KK3BRJRMN6NPRSDC · pith_short_8: KK3BRJRM

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/KK3BRJRMN6NPRSDC4372M45WJU \
  | 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: 52b618a62c6f9af8c862e6ffa673b64d0f2f7aaac917e3a5ce321ece54cc1038

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d380936a1996c6b3b4104af69b14dfd4714a3a35191636734d9af9f2ffd2717a",
    "cross_cats_sorted": [
      "math.AG",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-09-24T06:21:45Z",
    "title_canon_sha256": "eee9c8c14d9522e7a26bf11da5f65ec0b8fb37fc25ff1e09f8289bc9c094ab64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5236",
    "kind": "arxiv",
    "version": 2
  }
}