Pith Number

pith:2VWFJJ3H

pith:2023:2VWFJJ3HQPEKFSRLAKWBE6SW4Q

not attested not anchored not stored refs pending

The HR-Calculus: Enabling Information Processing with Quaternion Algebra

Clive Cheong Took, Danilo P. Mandic, Dongpo Xu, Min Xiang, Pauline Bourigault, Sayed Pouria Talebi, Yili Xia

arxiv:2311.16771 v2 · 2023-11-28 · stat.ML · cs.LG · eess.SP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2VWFJJ3HQPEKFSRLAKWBE6SW4Q}

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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.

Cited by

1 paper in Pith

A Quantum of Learning: Using Quaternion Algebra to Model Learning on Quantum Devices

Receipt and verification

First computed	2026-07-05T09:26:22.999375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d56c54a76783c8a2ca2b02ac127a56e42f7bd9256b5935378c737a962bcee569

Aliases

arxiv: 2311.16771 · arxiv_version: 2311.16771v2 · doi: 10.48550/arxiv.2311.16771 · pith_short_12: 2VWFJJ3HQPEK · pith_short_16: 2VWFJJ3HQPEKFSRL · pith_short_8: 2VWFJJ3H

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/2VWFJJ3HQPEKFSRLAKWBE6SW4Q \
  | 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: d56c54a76783c8a2ca2b02ac127a56e42f7bd9256b5935378c737a962bcee569

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c088990f107d9088813a6aea7cf4e4137dcc57ebc3504fed1f2468169fd8a480",
    "cross_cats_sorted": [
      "cs.LG",
      "eess.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2023-11-28T13:25:34Z",
    "title_canon_sha256": "3f9e5d9b2bb969101fdb706fcb12ad5b6a6d141a6196a76838bb3ea9acc4cb21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.16771",
    "kind": "arxiv",
    "version": 2
  }
}