Pith Number

pith:YERUYJP6

pith:2026:YERUYJP6WTX5G3DQXIIZ4VOZ3C

not attested not anchored not stored refs pending

Three Tokens Force Exponential Feature Rank in Nonnegative Kernel Attention

Vicente Opazo

arxiv:2608.11427 v1 · 2026-08-11 · 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{YERUYJP6WTX5G3DQXIIZ4VOZ3C}

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	2026-08-13T00:21:49.814947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1234c25feb4efd36c70ba119e55d9d886d50bbd5e663dc47a5207da0e318697

Aliases

arxiv: 2608.11427 · arxiv_version: 2608.11427v1 · doi: 10.48550/arxiv.2608.11427 · pith_short_12: YERUYJP6WTX5 · pith_short_16: YERUYJP6WTX5G3DQ · pith_short_8: YERUYJP6

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/YERUYJP6WTX5G3DQXIIZ4VOZ3C \
  | 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: c1234c25feb4efd36c70ba119e55d9d886d50bbd5e663dc47a5207da0e318697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20d8e993c8c4e9bc0ceab04b13523e260535ab94807c2eb17d3afb52103d8a16",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-11T20:49:34Z",
    "title_canon_sha256": "8511d2a3af114cf1e103f59c4b2c3f63ba3ae8dc8149de49d2165f15eec8cfc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.11427",
    "kind": "arxiv",
    "version": 1
  }
}