Pith Number

pith:J3QPRZNS

pith:2026:J3QPRZNSIGZBNFFYACBNDQS3TH

not attested not anchored not stored refs pending

Rethinking Shrinkage Bias in LLM FP4 Pretraining: Geometric Origin, Systemic Impact, and UFP4 Recipe

Changxin Tian, Chaofan Yu, Haitao Zhang, Jia Liu, Jun Zhou, Kunlong Chen, Mingliang Gong, Peijie Jiang, Qian Zhao, Zhiqiang Zhang, Zhonghui Jiang, Ziqi Liu

arxiv:2606.20381 v1 · 2026-06-18 · 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{J3QPRZNSIGZBNFFYACBNDQS3TH}

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	2026-06-19T16:13:11.027940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ee0f8e5b241b21694b80082d1c25b99d9a6fe461cff5924752904c3d8cbf853

Aliases

arxiv: 2606.20381 · arxiv_version: 2606.20381v1 · doi: 10.48550/arxiv.2606.20381 · pith_short_12: J3QPRZNSIGZB · pith_short_16: J3QPRZNSIGZBNFFY · pith_short_8: J3QPRZNS

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/J3QPRZNSIGZBNFFYACBNDQS3TH \
  | 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: 4ee0f8e5b241b21694b80082d1c25b99d9a6fe461cff5924752904c3d8cbf853

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014a66f4291de939e377f32b4350aa8aa05c5cb0bf1a09e3a57b9a477efbda6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2026-06-18T15:40:51Z",
    "title_canon_sha256": "191b801f45a19d35e451ff65d446780c75643c88a2c16a2f4b3175676a986426"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20381",
    "kind": "arxiv",
    "version": 1
  }
}