Pith Number

pith:CK45O3AI

pith:2025:CK45O3AIWOXDAKQRXL7NTTX546

not attested not anchored not stored refs pending

Understanding Nonlinear Implicit Bias via Region Counts in Input Space

Huishuai Zhang, Jingwei Li, Jing Xu, Jingzhao Zhang, Zifan Wang

arxiv:2505.11370 v3 · 2025-05-16 · 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{CK45O3AIWOXDAKQRXL7NTTX546}

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	2026-07-05T11:53:02.947096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12b9d76c08b3ae302a11bafed9cefde7bd029c772952c67922b6efce7118e366

Aliases

arxiv: 2505.11370 · arxiv_version: 2505.11370v3 · doi: 10.48550/arxiv.2505.11370 · pith_short_12: CK45O3AIWOXD · pith_short_16: CK45O3AIWOXDAKQR · pith_short_8: CK45O3AI

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/CK45O3AIWOXDAKQRXL7NTTX546 \
  | 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: 12b9d76c08b3ae302a11bafed9cefde7bd029c772952c67922b6efce7118e366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce0f92c14eb546f963c8d0e18e303baec49d8239f89f2864ba6875c12ae3c9f1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-16T15:34:19Z",
    "title_canon_sha256": "e30bfedd0ece9d2a9f6fc213e0b88fc7aeea85847e0e10ce943df8735dc82df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.11370",
    "kind": "arxiv",
    "version": 3
  }
}