Pith Number

pith:OFVVK3HD

pith:2022:OFVVK3HDOADK64F5AHI7YAH2GE

not attested not anchored not stored refs pending

The twisted group algebra structure of the Cayley-Dickson algebra

Guangbin Ren, Xin Zhao

arxiv:2205.07986 v2 · 2022-05-16 · 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{OFVVK3HDOADK64F5AHI7YAH2GE}

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	2026-07-05T05:50:06.127796Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

716b556ce37006af70bd01d1fc00fa310187b1298e9c94e4086b6f9f96f79398

Aliases

arxiv: 2205.07986 · arxiv_version: 2205.07986v2 · doi: 10.48550/arxiv.2205.07986 · pith_short_12: OFVVK3HDOADK · pith_short_16: OFVVK3HDOADK64F5 · pith_short_8: OFVVK3HD

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/OFVVK3HDOADK64F5AHI7YAH2GE \
  | 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: 716b556ce37006af70bd01d1fc00fa310187b1298e9c94e4086b6f9f96f79398

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16ba03d972169594539f7134395905302cf75c30895ddc63f7ac788ab1d8aed0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2022-05-16T20:54:41Z",
    "title_canon_sha256": "9ac2471a3e8541ef74b3fe1c794f59b3c6daabe31fecf32e33ac598aa49d8197"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.07986",
    "kind": "arxiv",
    "version": 2
  }
}