Pith Number

pith:PLIXWXL4

pith:2026:PLIXWXL44QHNFRAIU2TIOZOONN

not attested not anchored not stored refs pending

The Implicit Bias of Steepest Descent with Mini-batch Stochastic Gradient

Difan Zou, Jichu Li, Xuan Tang

arxiv:2602.11557 v2 · 2026-02-12 · cs.LG · 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{PLIXWXL44QHNFRAIU2TIOZOONN}

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	2026-06-19T16:11:20.768942Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ad17b5d7ce40ed2c408a6a68765ce6b48cbf0e9ac7ae45e73e703ef37b6dae2

Aliases

arxiv: 2602.11557 · arxiv_version: 2602.11557v2 · doi: 10.48550/arxiv.2602.11557 · pith_short_12: PLIXWXL44QHN · pith_short_16: PLIXWXL44QHNFRAI · pith_short_8: PLIXWXL4

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/PLIXWXL44QHNFRAIU2TIOZOONN \
  | 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: 7ad17b5d7ce40ed2c408a6a68765ce6b48cbf0e9ac7ae45e73e703ef37b6dae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4d07c52e8e84a13c1852e213a599da966c94621a0704157bc0866b5725bba17",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-12T04:25:38Z",
    "title_canon_sha256": "d5454afa813be3d349299febe6dc2621711072329399e0c8b89c5f82ff9ef253"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.11557",
    "kind": "arxiv",
    "version": 2
  }
}