Pith Number

pith:ZMBYBKPP

pith:2010:ZMBYBKPPVWCVKSFGYLAOXUNOTJ

not attested not anchored not stored refs pending

Centralizer of the elementary subgroup of an isotropic reductive group

Anastasia Stavrova, Ekaterina Kulikova

arxiv:1012.0278 v2 · 2010-12-01 · 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{ZMBYBKPPVWCVKSFGYLAOXUNOTJ}

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	2026-05-18T04:33:28.755445Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0380a9efad855548a6c2c0ebd1ae9a5f04d4262f1bff838c17f449cbd6c195

Aliases

arxiv: 1012.0278 · arxiv_version: 1012.0278v2 · doi: 10.48550/arxiv.1012.0278 · pith_short_12: ZMBYBKPPVWCV · pith_short_16: ZMBYBKPPVWCVKSFG · pith_short_8: ZMBYBKPP

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/ZMBYBKPPVWCVKSFGYLAOXUNOTJ \
  | 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: cb0380a9efad855548a6c2c0ebd1ae9a5f04d4262f1bff838c17f449cbd6c195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2341b82ebdbeb948b0a01a698fed4df8f5d24bf18316768324556fe1519af43",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-01T19:34:21Z",
    "title_canon_sha256": "7ec5cce86616989ddacbe354c7768a80c299843503a0739ec6c79cdc4b78995b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0278",
    "kind": "arxiv",
    "version": 2
  }
}