Pith Number

pith:LPKXX3Z4

pith:2023:LPKXX3Z44JYQZEJ3NGQOQLJ5IC

not attested not anchored not stored refs pending

Non-associative Categories of Octonionic Bimodules

Guangbin Ren, Qinghai Huo

arxiv:2309.06637 v1 · 2023-09-12 · math.CT · 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{LPKXX3Z44JYQZEJ3NGQOQLJ5IC}

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	2026-07-05T06:50:20.578882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd57bef3ce2710c913b69a0e82d3d40b1150302cb1fbfb27de5fbc614f7c5c3

Aliases

arxiv: 2309.06637 · arxiv_version: 2309.06637v1 · doi: 10.48550/arxiv.2309.06637 · pith_short_12: LPKXX3Z44JYQ · pith_short_16: LPKXX3Z44JYQZEJ3 · pith_short_8: LPKXX3Z4

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/LPKXX3Z44JYQZEJ3NGQOQLJ5IC \
  | 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: 5bd57bef3ce2710c913b69a0e82d3d40b1150302cb1fbfb27de5fbc614f7c5c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d81cdc655a8c805fad044eba713d32092157c64250c88321fff5f5551bec7e",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2023-09-12T23:05:45Z",
    "title_canon_sha256": "f24a6cafdc613eaed69237cd7f005b0ce5a5d33e3ff0a960b72b13daabd5b00d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.06637",
    "kind": "arxiv",
    "version": 1
  }
}