Pith Number

pith:MQNHHILO

pith:2012:MQNHHILOBJKJ6OR3M4RBSWZ5LV

not attested not anchored not stored refs pending

A cohomological proof of Peterson-Kac's theorem on conjugacy of Cartan subalgebras of affine Kac-Moody Lie algebras

Arturo Pianzola, Philippe Gille (DMA), Vladimir Chernousov, Vladimir Egorov

arxiv:1205.0669 v1 · 2012-05-03 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MQNHHILOBJKJ6OR3M4RBSWZ5LV}

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	2026-05-18T03:56:25.303537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

641a73a16e0a549f3a3b6722195b3d5d7ff8fb9dfbecc9c99eefc144dc375fb6

Aliases

arxiv: 1205.0669 · arxiv_version: 1205.0669v1 · doi: 10.48550/arxiv.1205.0669 · pith_short_12: MQNHHILOBJKJ · pith_short_16: MQNHHILOBJKJ6OR3 · pith_short_8: MQNHHILO

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/MQNHHILOBJKJ6OR3M4RBSWZ5LV \
  | 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: 641a73a16e0a549f3a3b6722195b3d5d7ff8fb9dfbecc9c99eefc144dc375fb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa197e4a0ce7114d779ad78cbde48e70b9bfeea1999ff824a785aea166f4c75f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-05-03T10:17:47Z",
    "title_canon_sha256": "d26480bbdb9257a3ef7aeafaa473fcf18bc31ade69180e17e32aa168b6cdd03e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.0669",
    "kind": "arxiv",
    "version": 1
  }
}