Pith Number

pith:HDDDDXTO

pith:2026:HDDDDXTOP7FLFGV4M4SFA4O3KK

not attested not anchored not stored refs pending

Minor First, Major Last: A Depth-Induced Implicit Bias of Sharpness-Aware Minimization

Chaewon Moon, Chulhee Yun, Dongkuk Si

arxiv:2603.08290 v2 · 2026-03-09 · 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{HDDDDXTOP7FLFGV4M4SFA4O3KK}

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	2026-05-20T00:05:42.901076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38c631de6e7fcab29abc67245071db52afbe9e6fd4d873ced4dc7d1bc44b7d52

Aliases

arxiv: 2603.08290 · arxiv_version: 2603.08290v2 · doi: 10.48550/arxiv.2603.08290 · pith_short_12: HDDDDXTOP7FL · pith_short_16: HDDDDXTOP7FLFGV4 · pith_short_8: HDDDDXTO

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/HDDDDXTOP7FLFGV4M4SFA4O3KK \
  | 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: 38c631de6e7fcab29abc67245071db52afbe9e6fd4d873ced4dc7d1bc44b7d52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bc6391c39ca6feea5f08f36d18f8d2951af3612bc3af6935fd868005b5f5d6d",
    "cross_cats_sorted": [
      "cs.AI"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-03-09T12:09:14Z",
    "title_canon_sha256": "2d7aa5c07925957298f40595591e3b4e7f7442717b74019a3df71867cd1ce6ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.08290",
    "kind": "arxiv",
    "version": 2
  }
}