Pith Number

pith:E2W6PYBG

pith:2022:E2W6PYBG46BCCE5IUTHZDAEE5H

not attested not anchored not stored refs pending

Quantum Lower Bounds for Finding Stationary Points of Nonconvex Functions

Chenyi Zhang, Tongyang Li

arxiv:2212.03906 v2 · 2022-12-07 · quant-ph · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E2W6PYBG46BCCE5IUTHZDAEE5H}

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	2026-07-05T06:17:03.270324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ade7e026e7822113a8a4cf918084e9d0b242d567323911862052538484c2fd

Aliases

arxiv: 2212.03906 · arxiv_version: 2212.03906v2 · doi: 10.48550/arxiv.2212.03906 · pith_short_12: E2W6PYBG46BC · pith_short_16: E2W6PYBG46BCCE5I · pith_short_8: E2W6PYBG

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/E2W6PYBG46BCCE5IUTHZDAEE5H \
  | 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: 26ade7e026e7822113a8a4cf918084e9d0b242d567323911862052538484c2fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ae6ab99326033f8b34a794f13470a5776eed3e1fb7e653d9f65115f8e925f84",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2022-12-07T19:02:36Z",
    "title_canon_sha256": "3f3ccd2eb0ee737a744d723d967c13aebe0a25ea5eae262984b1d84a69ca84fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.03906",
    "kind": "arxiv",
    "version": 2
  }
}