Pith Number

pith:MERUPQBD

pith:2025:MERUPQBDOQ57LQMGZAZUWM32O5

not attested not anchored not stored refs pending

Improved Stochastic Optimization of LogSumExp

Alexey Kroshnin, Egor Gladin, Jia-Jie Zhu, Pavel Dvurechensky

arxiv:2509.24894 v4 · 2025-09-29 · math.OC · 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{MERUPQBDOQ57LQMGZAZUWM32O5}

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	2026-06-19T16:12:48.110180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

612347c023743bf5c186c8334b337a774d66a0dac24004659ea03a76762082b2

Aliases

arxiv: 2509.24894 · arxiv_version: 2509.24894v4 · doi: 10.48550/arxiv.2509.24894 · pith_short_12: MERUPQBDOQ57 · pith_short_16: MERUPQBDOQ57LQMG · pith_short_8: MERUPQBD

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/MERUPQBDOQ57LQMGZAZUWM32O5 \
  | 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: 612347c023743bf5c186c8334b337a774d66a0dac24004659ea03a76762082b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fc54b178709e444548d60d9b1b3ee76cd7e32390f372712c5e40ea4e338a7e",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-29T15:03:55Z",
    "title_canon_sha256": "46ab872f7bb198b58d33bee8bc303496c2be6da9181c55cac1f6602005b404d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24894",
    "kind": "arxiv",
    "version": 4
  }
}