Pith Number

pith:WARQNMIH

pith:2025:WARQNMIHJK5DIX5RRJOEH4VETC

not attested not anchored not stored refs pending

The bracket of the exceptional Lie algebra E8

Andreas Kollross

arxiv:2504.16513 v3 · 2025-04-23 · math.DG · math.GR · 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{WARQNMIHJK5DIX5RRJOEH4VETC}

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	2026-05-20T00:02:49.717702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b02306b1074aba345fb18a5c43f2a49897c35a29431b8d2bdd7ecc8495c50bda

Aliases

arxiv: 2504.16513 · arxiv_version: 2504.16513v3 · doi: 10.48550/arxiv.2504.16513 · pith_short_12: WARQNMIHJK5D · pith_short_16: WARQNMIHJK5DIX5R · pith_short_8: WARQNMIH

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/WARQNMIHJK5DIX5RRJOEH4VETC \
  | 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: b02306b1074aba345fb18a5c43f2a49897c35a29431b8d2bdd7ecc8495c50bda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cee3e0c2d64e98aa74c27c6f6d07e9fe7f08b79f133c80f2870118c1a88b45d",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-23T08:39:19Z",
    "title_canon_sha256": "80f9666e4e05dbda10ed008fbb3277606484cc53cd0862ff766bc1bcb858894b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.16513",
    "kind": "arxiv",
    "version": 3
  }
}