Pith Number

pith:VPKWH5JQ

pith:2021:VPKWH5JQ2MREU2X7RC7Y5P7I66

not attested not anchored not stored refs pending

Beyond Fully-Connected Layers with Quaternions: Parameterization of Hypercomplex Multiplications with $1/n$ Parameters

Alvin Chan, Anh Tuan Luu, Aston Zhang, Jie Fu, Shuai Zhang, Siu Cheung Hui, Yi Tay

arxiv:2102.08597 v1 · 2021-02-17 · cs.LG · cs.AI · cs.CL · cs.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPKWH5JQ2MREU2X7RC7Y5P7I66}

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	2026-07-05T02:16:04.988566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd563f530d3224a6aff88bf8ebfe8f7aefbb6be5cf230850afac5e0d172594c

Aliases

arxiv: 2102.08597 · arxiv_version: 2102.08597v1 · doi: 10.48550/arxiv.2102.08597 · pith_short_12: VPKWH5JQ2MRE · pith_short_16: VPKWH5JQ2MREU2X7 · pith_short_8: VPKWH5JQ

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/VPKWH5JQ2MREU2X7RC7Y5P7I66 \
  | 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: abd563f530d3224a6aff88bf8ebfe8f7aefbb6be5cf230850afac5e0d172594c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adf67ad9c580ce7792c26e3eb5f809dd2977fcf9d50c39ddc14b0ab7b6bf7619",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "cs.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-02-17T06:16:58Z",
    "title_canon_sha256": "5f0ac8e401dce83bf6c751651de5312f75934b2ecc1a16c2696a4e2df9dee777"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.08597",
    "kind": "arxiv",
    "version": 1
  }
}