Pith Number

pith:4IGQVWCB

pith:2018:4IGQVWCBITTFJND7NWDBC4LXFC

not attested not anchored not stored refs pending

Octonions, triality, the exceptional Lie algebra F4, and polar actions on the Cayley hyperbolic plane

Andreas Kollross

arxiv:1802.08075 v2 · 2018-02-22 · math.DG · 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{4IGQVWCBITTFJND7NWDBC4LXFC}

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	2026-05-18T00:14:48.192338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e20d0ad84144e654b47f6d861171772888f460541aced5377f998e99206176a2

Aliases

arxiv: 1802.08075 · arxiv_version: 1802.08075v2 · doi: 10.48550/arxiv.1802.08075 · pith_short_12: 4IGQVWCBITTF · pith_short_16: 4IGQVWCBITTFJND7 · pith_short_8: 4IGQVWCB

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/4IGQVWCBITTFJND7NWDBC4LXFC \
  | 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: e20d0ad84144e654b47f6d861171772888f460541aced5377f998e99206176a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c067b1a10ad478f768eb9cffa37664c2ff3e43c2ffc6eeef1371cb280e3d500",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-02-22T14:49:57Z",
    "title_canon_sha256": "b79caa15a49d78413b35ecd20f8c5bf2e30f9121bcc6b28ebb680a2c913e7a90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08075",
    "kind": "arxiv",
    "version": 2
  }
}