Pith Number

pith:C4LZXTKJ

pith:2026:C4LZXTKJEOXXFSBHLJJH3RMNG7

not attested not anchored not stored refs pending

On the Implicit Flatness Bias of Sharpness-Aware Minimization: A Linear Stability Analysis with Quantitative Hyperparameter Bounds

Jiaxin Deng, Junbiao Pang

arxiv:2608.03197 v1 · 2026-08-04 · 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{C4LZXTKJEOXXFSBHLJJH3RMNG7}

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	2026-08-05T00:46:08.564018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17179bcd4923af72c8275a527dc58d37eab9c285a3ba885af4588c413c7b8ca5

Aliases

arxiv: 2608.03197 · arxiv_version: 2608.03197v1 · doi: 10.48550/arxiv.2608.03197 · pith_short_12: C4LZXTKJEOXX · pith_short_16: C4LZXTKJEOXXFSBH · pith_short_8: C4LZXTKJ

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/C4LZXTKJEOXXFSBHLJJH3RMNG7 \
  | 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: 17179bcd4923af72c8275a527dc58d37eab9c285a3ba885af4588c413c7b8ca5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04464594c246ce0c521b91ae714cbe3f8f90bf2bbc79b9150d0f35951666d94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-08-04T06:37:44Z",
    "title_canon_sha256": "c63aa2857ee8df731ef8e3fb2a17d1e4bf6bafe074ce797b0c6a9be8b94afff0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.03197",
    "kind": "arxiv",
    "version": 1
  }
}