Pith Number

pith:27LLKHDM

pith:2025:27LLKHDMRSV4O4SZLY4HC47A46

not attested not anchored not stored refs pending

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

Clive Cheong Took, Danilo P. Mandic, Sayed Pouria Talebi

arxiv:2504.13232 v2 · 2025-04-17 · quant-ph · cs.LG · math.QA · stat.ML

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27LLKHDMRSV4O4SZLY4HC47A46}

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	2026-07-05T11:00:06.562166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d6b51c6c8cabc772595e387173e0e79c63890a6f7d33deacc830e1dc371cbf

Aliases

arxiv: 2504.13232 · arxiv_version: 2504.13232v2 · doi: 10.48550/arxiv.2504.13232 · pith_short_12: 27LLKHDMRSV4 · pith_short_16: 27LLKHDMRSV4O4SZ · pith_short_8: 27LLKHDM

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/27LLKHDMRSV4O4SZLY4HC47A46 \
  | 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: d7d6b51c6c8cabc772595e387173e0e79c63890a6f7d33deacc830e1dc371cbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53e9f1c47a7330b2dcea8ae30cf8191b797c7aaf4996204c25006a22063514b",
    "cross_cats_sorted": [
      "cs.LG",
      "math.QA",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-04-17T14:51:21Z",
    "title_canon_sha256": "8f3cfc74506d2ef2960ab669f0a23c5d7c6af567ffb0bc9ebd65336394268c3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.13232",
    "kind": "arxiv",
    "version": 2
  }
}