Pith Number

pith:ATLVG4AA

pith:2026:ATLVG4AALYWKNVEG2ARXDXW2PB

not attested not anchored not stored refs pending

Quantum Speedups for Stochastic Optimization with Heavy-Tailed Noise

Bin Luo, Chengchang Liu, John C.S. Lui, Jonathan Allcock, Shengyu Zhang

arxiv:2607.25492 v1 · 2026-07-28 · 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{ATLVG4AALYWKNVEG2ARXDXW2PB}

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	2026-07-29T01:25:18.152381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04d75370005e2ca6d486d02371deda784711baf09d5deb40142037f4f2622c51

Aliases

arxiv: 2607.25492 · arxiv_version: 2607.25492v1 · doi: 10.48550/arxiv.2607.25492 · pith_short_12: ATLVG4AALYWK · pith_short_16: ATLVG4AALYWKNVEG · pith_short_8: ATLVG4AA

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/ATLVG4AALYWKNVEG2ARXDXW2PB \
  | 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: 04d75370005e2ca6d486d02371deda784711baf09d5deb40142037f4f2622c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7ccb94f4f13a5f344ae591ad9d698cd95fd764308cfc6036f50cbacd0f86d9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-07-28T09:29:37Z",
    "title_canon_sha256": "0e536802ffe1c241f30b960bde235f232ed6d725f22f303365436ac2cdd8ba77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25492",
    "kind": "arxiv",
    "version": 1
  }
}