Pith Number

pith:HWBFAACQ

pith:2010:HWBFAACQCF4VIEGFAOS5OZDBK4

not attested not anchored not stored refs pending

The index of centralizers of elements of reductive Lie algebras

Anne Moreau (LMA), Jean-Yves Charbonnel (IMJ)

arxiv:1005.0831 v2 · 2010-05-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HWBFAACQCF4VIEGFAOS5OZDBK4}

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	2026-05-18T01:29:32.295959Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d8250005011795410c503a5d764615714b4491fb9a8247182695919434fbc3e

Aliases

arxiv: 1005.0831 · arxiv_version: 1005.0831v2 · doi: 10.48550/arxiv.1005.0831 · pith_short_12: HWBFAACQCF4V · pith_short_16: HWBFAACQCF4VIEGF · pith_short_8: HWBFAACQ

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/HWBFAACQCF4VIEGFAOS5OZDBK4 \
  | 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: 3d8250005011795410c503a5d764615714b4491fb9a8247182695919434fbc3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98a5de189b15a5ecd0e145a8a46ccf48a858a42e2a73d38f2a7a290336b131f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-05-05T19:46:02Z",
    "title_canon_sha256": "7e9ca0565bc6dbc25852520fc21fc2baa93e5792899b642702573c4f9fe60994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0831",
    "kind": "arxiv",
    "version": 2
  }
}