Pith Number

pith:CBPE45V7

pith:2025:CBPE45V7HYMQZHHBNR3PH7VJCO

not attested not anchored not stored refs pending

Accelerating Machine Learning Systems via Category Theory: Applications to Spherical Attention for Gene Regulatory Networks

Gerard Glowacki, Gioele Zardini, Kotaro Kamiya, Vincent Abbott, Yoshihiro Maruyama, Yu Atsumi

arxiv:2505.09326 v1 · 2025-05-14 · math.CT · cs.LG · q-bio.MN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBPE45V7HYMQZHHBNR3PH7VJCO}

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	2026-07-05T11:03:06.466056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

105e4e76bf3e190c9ce16c76f3fea913aeed86869dcd503c4ddd4f4db8bd974f

Aliases

arxiv: 2505.09326 · arxiv_version: 2505.09326v1 · doi: 10.48550/arxiv.2505.09326 · pith_short_12: CBPE45V7HYMQ · pith_short_16: CBPE45V7HYMQZHHB · pith_short_8: CBPE45V7

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/CBPE45V7HYMQZHHBNR3PH7VJCO \
  | 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: 105e4e76bf3e190c9ce16c76f3fea913aeed86869dcd503c4ddd4f4db8bd974f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c195a2fd0b62552e1755b306a3fbc5ff2f0f678102cb517dc17186428609b8e",
    "cross_cats_sorted": [
      "cs.LG",
      "q-bio.MN"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2025-05-14T12:24:22Z",
    "title_canon_sha256": "6586c2a9aa8b0f3bc6a52d065effcf01f0b66e699c5203148b83bab9c33ffff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.09326",
    "kind": "arxiv",
    "version": 1
  }
}