Pith Number

pith:OPIXZQYG

pith:2023:OPIXZQYGXKLZIF6K4BQMYLPLNS

not attested not anchored not stored refs pending

Stochastic Gradient Descent with Preconditioned Polyak Step-size

Chulu Xiang, Dmitry Kamzolov, Farshed Abdukhakimov, Martin Tak\'a\v{c}

arxiv:2310.02093 v1 · 2023-10-03 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OPIXZQYGXKLZIF6K4BQMYLPLNS}

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	2026-07-05T06:56:49.929435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73d17cc306ba979417cae060cc2deb6caff2606fbe343c87efc455ee7d9da828

Aliases

arxiv: 2310.02093 · arxiv_version: 2310.02093v1 · doi: 10.48550/arxiv.2310.02093 · pith_short_12: OPIXZQYGXKLZ · pith_short_16: OPIXZQYGXKLZIF6K · pith_short_8: OPIXZQYG

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/OPIXZQYGXKLZIF6K4BQMYLPLNS \
  | 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: 73d17cc306ba979417cae060cc2deb6caff2606fbe343c87efc455ee7d9da828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1b8967a928d4ab4f779e39c0cd82eb7f6d681ec0c80c4025452c63d4de2eb43",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-10-03T14:36:05Z",
    "title_canon_sha256": "f48ebfe99b126764ae48fa31ea856a72accf3bbb9ebbd6fa468d5399c5b62a2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.02093",
    "kind": "arxiv",
    "version": 1
  }
}