Pith Number

pith:4XXAZL77

pith:2025:4XXAZL77BCLQ6E43CPOY35OAJI

not attested not anchored not stored refs pending

Customizing the Inductive Biases of Softmax Attention using Structured Matrices

Andres Potapczynski, Andrew Gordon Wilson, Noah Amsel, Sanae Lotfi, Shikai Qiu, Yilun Kuang

arxiv:2509.07963 v2 · 2025-09-09 · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XXAZL77BCLQ6E43CPOY35OAJI}

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	2026-06-04T01:08:12.161602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5ee0cafff08970f139b13dd8df5c04a2bf1df26bb2791a15b13f7fcdd8a1061

Aliases

arxiv: 2509.07963 · arxiv_version: 2509.07963v2 · doi: 10.48550/arxiv.2509.07963 · pith_short_12: 4XXAZL77BCLQ · pith_short_16: 4XXAZL77BCLQ6E43 · pith_short_8: 4XXAZL77

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/4XXAZL77BCLQ6E43CPOY35OAJI \
  | 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: e5ee0cafff08970f139b13dd8df5c04a2bf1df26bb2791a15b13f7fcdd8a1061

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b467c98292f3b11657b0bf20eb0955e4855866792c633aa6904cf73efb7137c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-09-09T17:50:58Z",
    "title_canon_sha256": "b5da63fe9d41cb4f20bf1d16827eb87dd9bad49c76cd411b1ed17b8e1ba593b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07963",
    "kind": "arxiv",
    "version": 2
  }
}