Pith Number

pith:CRO5G7VG

pith:2011:CRO5G7VGSYYFEDGOFJTKHCH6WS

not attested not anchored not stored refs pending

A 3-Calabi-Yau algebra with G_2 symmetry constructed from the octonions

S. Paul Smith

arxiv:1104.3824 v1 · 2011-04-19 · 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{CRO5G7VGSYYFEDGOFJTKHCH6WS}

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	2026-05-18T04:23:55.634089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

145dd37ea69630520cce2a66a388feb48a9a4a447c85a7f446d4fc026a50e279

Aliases

arxiv: 1104.3824 · arxiv_version: 1104.3824v1 · doi: 10.48550/arxiv.1104.3824 · pith_short_12: CRO5G7VGSYYF · pith_short_16: CRO5G7VGSYYFEDGO · pith_short_8: CRO5G7VG

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/CRO5G7VGSYYFEDGOFJTKHCH6WS \
  | 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: 145dd37ea69630520cce2a66a388feb48a9a4a447c85a7f446d4fc026a50e279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "394b467165118743926b8dc0d4b873d3eff71b6abc8a07b5228705d3144021ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-04-19T18:17:08Z",
    "title_canon_sha256": "451c61244364cb63da1a5f8e1def9f9f160a4751e60724a275e7df2d3983bdc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3824",
    "kind": "arxiv",
    "version": 1
  }
}