Pith Number

pith:PFTOANDV

pith:2026:PFTOANDV3GBKYTWQ4Y6HN3SWY6

not attested not anchored not stored refs pending

Non-asymptotic implicit bias of logistic regression at early-stage gradient descent dynamics

Han Bao

arxiv:2608.04382 v1 · 2026-08-05 · 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{PFTOANDV3GBKYTWQ4Y6HN3SWY6}

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	2026-08-06T01:34:33.826240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7966e03475d982ac4ed0e63c76ee56c797e39d1e0bb7ac39b46144a66a95ad7f

Aliases

arxiv: 2608.04382 · arxiv_version: 2608.04382v1 · doi: 10.48550/arxiv.2608.04382 · pith_short_12: PFTOANDV3GBK · pith_short_16: PFTOANDV3GBKYTWQ · pith_short_8: PFTOANDV

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/PFTOANDV3GBKYTWQ4Y6HN3SWY6 \
  | 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: 7966e03475d982ac4ed0e63c76ee56c797e39d1e0bb7ac39b46144a66a95ad7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a02f6b6dc506d0e532f510da1820f0b07dc316e82bd65a818526c121441b6743",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-05T02:39:49Z",
    "title_canon_sha256": "49d7a17665abd89cd407c176c4c3bfed62ff03cf28ad74a020fde36d03878df4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04382",
    "kind": "arxiv",
    "version": 1
  }
}