Pith Number

pith:7MKK7ENN

pith:2008:7MKK7ENN25G6LG7LK2FXT2H42P

not attested not anchored not stored refs pending

Automorphisms and derivations of Borel subalgebras and their nilradicals in Kac-Moody algebras

Jun Morita, Kaiming Zhao

arxiv:0806.4922 v1 · 2008-06-30 · 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{7MKK7ENN25G6LG7LK2FXT2H42P}

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	2026-05-18T03:37:27.176638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb14af91add74de59beb568b79e8fcd3da7431a1af9cde4db4cc46db6440a6ee

Aliases

arxiv: 0806.4922 · arxiv_version: 0806.4922v1 · doi: 10.48550/arxiv.0806.4922 · pith_short_12: 7MKK7ENN25G6 · pith_short_16: 7MKK7ENN25G6LG7L · pith_short_8: 7MKK7ENN

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/7MKK7ENN25G6LG7LK2FXT2H42P \
  | 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: fb14af91add74de59beb568b79e8fcd3da7431a1af9cde4db4cc46db6440a6ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1ac2bcade7a9b899c8b75291090f2c29b385022ef630d280dedf6ac5d100c8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2008-06-30T15:27:48Z",
    "title_canon_sha256": "a9be1e00c9ceae9a1c220aa20f2ce52d14a1d522fa4a0d9972ad15338d09a2eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.4922",
    "kind": "arxiv",
    "version": 1
  }
}