Pith Number

pith:G5HQUAFE

pith:2007:G5HQUAFE57TPAIBK6JMXCANI4D

not attested not anchored not stored refs pending

A geometric construction of the exceptional Lie algebras F4 and E8

Jos\'e Figueroa-O'Farrill

arxiv:0706.2829 v1 · 2007-06-19 · math.DG · hep-th · 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{G5HQUAFE57TPAIBK6JMXCANI4D}

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	2026-05-18T02:35:30.950176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374f0a00a4efe6f0202af2597101a8e0c0ad2f00217cb70cc31bb4a2882b431d

Aliases

arxiv: 0706.2829 · arxiv_version: 0706.2829v1 · doi: 10.48550/arxiv.0706.2829 · pith_short_12: G5HQUAFE57TP · pith_short_16: G5HQUAFE57TPAIBK · pith_short_8: G5HQUAFE

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/G5HQUAFE57TPAIBK6JMXCANI4D \
  | 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: 374f0a00a4efe6f0202af2597101a8e0c0ad2f00217cb70cc31bb4a2882b431d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bdb21cf4aaa23b4d8064607c7625958a0fad00d5258eb3fe043f6afce33983f",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-06-19T16:19:35Z",
    "title_canon_sha256": "08c2133fede30b479c6e4655806cb7a138e0cfad41cc33c9da550a10f356e4a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2829",
    "kind": "arxiv",
    "version": 1
  }
}