Pith Number

pith:CNJUKJBK

pith:2008:CNJUKJBKNSNUXL33QW6PBORNC3

not attested not anchored not stored refs pending

Hyperbolic Weyl groups and the four normed division algebras

Alex J. Feingold, Axel Kleinschmidt, Hermann Nicolai

arxiv:0805.3018 v2 · 2008-05-20 · math.RT · hep-th · 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{CNJUKJBKNSNUXL33QW6PBORNC3}

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	2026-05-18T00:40:20.110034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

135345242a6c9b4baf7b85bcf0ba2d16c0548ec176cef55e2a9eb423e4b2f977

Aliases

arxiv: 0805.3018 · arxiv_version: 0805.3018v2 · doi: 10.48550/arxiv.0805.3018 · pith_short_12: CNJUKJBKNSNU · pith_short_16: CNJUKJBKNSNUXL33 · pith_short_8: CNJUKJBK

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/CNJUKJBKNSNUXL33QW6PBORNC3 \
  | 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: 135345242a6c9b4baf7b85bcf0ba2d16c0548ec176cef55e2a9eb423e4b2f977

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c79e4f4ebc5fc8c5021a55d1aab4df18fb6913084d5b5975ede2af7a86bda058",
    "cross_cats_sorted": [
      "hep-th",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2008-05-20T07:35:46Z",
    "title_canon_sha256": "8b9b083c6db4fa704a8433f91e6c231c58021140ec8c9c6f5905bc46b9b0cd22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3018",
    "kind": "arxiv",
    "version": 2
  }
}