Pith Number

pith:W33VOY6J

pith:2026:W33VOY6JGCT4T7FGANDRKL5SG5

not attested not anchored not stored refs pending

Fisher-Geometric Sharpness and the Implicit Bias of SGD toward Flat Minima

Hemen Dutta, Kumaresh Sarmah, Md Sakir Ahmed

arxiv:2606.20469 v1 · 2026-06-18 · cs.LG · cs.CG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W33VOY6JGCT4T7FGANDRKL5SG5}

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	2026-06-19T16:13:13.134120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6f75763c930a7c9fca60347152fb237755a874955a1c6f5878bb116e54b4397

Aliases

arxiv: 2606.20469 · arxiv_version: 2606.20469v1 · doi: 10.48550/arxiv.2606.20469 · pith_short_12: W33VOY6JGCT4 · pith_short_16: W33VOY6JGCT4T7FG · pith_short_8: W33VOY6J

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/W33VOY6JGCT4T7FGANDRKL5SG5 \
  | 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: b6f75763c930a7c9fca60347152fb237755a874955a1c6f5878bb116e54b4397

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1add1cd60f12d80f3bd0953fae2e2ccfc68937f30d9864e8bb30cc429a83292c",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-18T16:48:18Z",
    "title_canon_sha256": "1df6b25462d2978963d831a2c2b381f734726012302dc9d9ebf4fa470c653e9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20469",
    "kind": "arxiv",
    "version": 1
  }
}