Pith Number

pith:YCQVTFUF

pith:2026:YCQVTFUF6VKKK4IEGZ42M7NJW6

not attested not anchored not stored refs pending

Attention at the Theoretical Minimum: A Mathematics of Arrays Framework for Memory-Optimal Transformer Kernels

Gaetan Hains, Lenore Mullin

arxiv:2606.07713 v1 · 2026-06-05 · cs.LG · cs.AI · cs.PF

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCQVTFUF6VKKK4IEGZ42M7NJW6}

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	2026-06-09T01:04:50.058649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a1599685f554a571043679a67da9b7a8405b5d6e586990275089bf5f1fc797

Aliases

arxiv: 2606.07713 · arxiv_version: 2606.07713v1 · doi: 10.48550/arxiv.2606.07713 · pith_short_12: YCQVTFUF6VKK · pith_short_16: YCQVTFUF6VKKK4IE · pith_short_8: YCQVTFUF

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/YCQVTFUF6VKKK4IEGZ42M7NJW6 \
  | 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: c0a1599685f554a571043679a67da9b7a8405b5d6e586990275089bf5f1fc797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e6a0e997c713f6bfc29a76bfb20fe0b4282028d21200e48adcdaf7a108aab5",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.PF"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-05T14:44:49Z",
    "title_canon_sha256": "2a938638e74ced5b3fc71f20c7421e411ef85b6be452f0b89927bcadf74b1dcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07713",
    "kind": "arxiv",
    "version": 1
  }
}