Pith Number

pith:34UYGA4S

pith:2026:34UYGA4S2WT3B3FYAZS5XSS2GJ

not attested not anchored not stored refs pending

Adaptive Sharpness-Aware Minimization with a Polyak-type Step size: A Theory-Grounded Scheduler

Dimitris Oikonomou, Nicolas Loizou

arxiv:2606.01827 v1 · 2026-06-01 · math.OC · 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{34UYGA4S2WT3B3FYAZS5XSS2GJ}

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	2026-06-02T02:04:57.946971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df29830392d5a7b0ecb80665dbca5a325cb6422c2d952762931f9075f34bd8e3

Aliases

arxiv: 2606.01827 · arxiv_version: 2606.01827v1 · doi: 10.48550/arxiv.2606.01827 · pith_short_12: 34UYGA4S2WT3 · pith_short_16: 34UYGA4S2WT3B3FY · pith_short_8: 34UYGA4S

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/34UYGA4S2WT3B3FYAZS5XSS2GJ \
  | 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: df29830392d5a7b0ecb80665dbca5a325cb6422c2d952762931f9075f34bd8e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79714f934fcd3a743c8e1edc1616fc11e132e6723db773a25843f5cd2c6e05ef",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-06-01T07:42:01Z",
    "title_canon_sha256": "e90b0619413e1c835139d24a73ecb8887a492e44fc3fe4fcf6e0862ecab32c8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.01827",
    "kind": "arxiv",
    "version": 1
  }
}