Pith Number

pith:7E5FTRAQ

pith:2026:7E5FTRAQ65VM5LXGZ5XB6NDZ5T

not attested not anchored not stored refs pending

PC Layer: Polynomial Weight Preconditioning for Improving LLM Pre-Training

Alex Schwing, Haoran Zhang, Kunxiang Zhao, Ruoyu Sun, Senmiao Wang, Tiantian Fang, Yushun Zhang

arxiv:2606.06470 v1 · 2026-06-04 · cs.LG · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7E5FTRAQ65VM5LXGZ5XB6NDZ5T}

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	2026-06-05T01:15:46.545733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f93a59c410f76aceaee6cf6e1f3479eccfbe4c9daf350773cc420d726e409143

Aliases

arxiv: 2606.06470 · arxiv_version: 2606.06470v1 · doi: 10.48550/arxiv.2606.06470 · pith_short_12: 7E5FTRAQ65VM · pith_short_16: 7E5FTRAQ65VM5LXG · pith_short_8: 7E5FTRAQ

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/7E5FTRAQ65VM5LXGZ5XB6NDZ5T \
  | 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: f93a59c410f76aceaee6cf6e1f3479eccfbe4c9daf350773cc420d726e409143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5490786c2eb3a9dac185da72e1a31895631dfd9fada5f27928f51d414d81237b",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-04T17:55:11Z",
    "title_canon_sha256": "01d0ec17f3230313362b7eb06dc2b7c09fa4877c4971d45722df0ffafe8b6cd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06470",
    "kind": "arxiv",
    "version": 1
  }
}