Pith Number

pith:HYI3S42F

pith:2024:HYI3S42F6RMHNT4Y44VGGMZR2Y

not attested not anchored not stored refs pending

A Primal-Dual Framework for Transformers and Neural Networks

Andrea L. Bertozzi, Nhat Ho, Richard G. Baraniuk, Stanley J. Osher, Tam Nguyen, Tan M. Nguyen

arxiv:2406.13781 v1 · 2024-06-19 · cs.LG · cs.AI · cs.CL · cs.CV · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HYI3S42F6RMHNT4Y44VGGMZR2Y}

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.

Cited by

1 paper in Pith

A Reproduction Study: The Kernel PCA Interpretation of Self-Attention Fails Under Scrutiny

Receipt and verification

First computed	2026-07-05T08:34:34.368327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e11b97345f45876cf98e72a633331d60261a306e8b2bf8ad80785b7f8fe125b

Aliases

arxiv: 2406.13781 · arxiv_version: 2406.13781v1 · doi: 10.48550/arxiv.2406.13781 · pith_short_12: HYI3S42F6RMH · pith_short_16: HYI3S42F6RMHNT4Y · pith_short_8: HYI3S42F

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/HYI3S42F6RMHNT4Y44VGGMZR2Y \
  | 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: 3e11b97345f45876cf98e72a633331d60261a306e8b2bf8ad80785b7f8fe125b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39e42672af205906ee214c9c1bfe7eeb31f035c6a298a2a67610ccf13bf0ff2",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.CL",
      "cs.CV",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-06-19T19:11:22Z",
    "title_canon_sha256": "fa5dc7990082acdb0140f9396518b38177980dcd79fc2a54b4e48260b98f7056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.13781",
    "kind": "arxiv",
    "version": 1
  }
}