Pith Number

pith:ZNII623N

pith:2024:ZNII623NECYZV76VR6EVNMY6PJ

not attested not anchored not stored refs pending

Quantum Algorithms and Lower Bounds for Finite-Sum Optimization

Chenyi Zhang, Cong Fang, Liwei Wang, Tongyang Li, Yexin Zhang

arxiv:2406.03006 v1 · 2024-06-05 · quant-ph · cs.DS · 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{ZNII623NECYZV76VR6EVNMY6PJ}

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	2026-07-05T08:27:34.134458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb508f6b6d20b19affd58f8956b31e7a473c2f3e054951b176b921a61f4adf29

Aliases

arxiv: 2406.03006 · arxiv_version: 2406.03006v1 · doi: 10.48550/arxiv.2406.03006 · pith_short_12: ZNII623NECYZ · pith_short_16: ZNII623NECYZV76V · pith_short_8: ZNII623N

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/ZNII623NECYZV76VR6EVNMY6PJ \
  | 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: cb508f6b6d20b19affd58f8956b31e7a473c2f3e054951b176b921a61f4adf29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4dc2890c06cf68e889bade7d8e34771130ebc596d4b98d1c8165e5e8a476e7d",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-06-05T07:13:52Z",
    "title_canon_sha256": "ede937f529b99464d478b5b563a0976c0821ecae60831d2ec5e738da6c4ce76e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.03006",
    "kind": "arxiv",
    "version": 1
  }
}