Pith Number

pith:W5M22WYA

pith:2026:W5M22WYA7HRDFCOZTIWLLGR7TI

not attested not anchored not stored refs pending

Krylov-Lie Algebras for Variational Quantum Algorithms: Geometric, Depth-Aware Insights into Expressivity and Trainability

An\v{z}ej Margeta-Cacace

arxiv:2607.02626 v1 · 2026-07-02 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5M22WYA7HRDFCOZTIWLLGR7TI}

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	2026-07-07T00:16:04.110018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b759ad5b00f9e23289d99a2cb59a3f9a3d764633bd895f8cdca5a21bb4700045

Aliases

arxiv: 2607.02626 · arxiv_version: 2607.02626v1 · doi: 10.48550/arxiv.2607.02626 · pith_short_12: W5M22WYA7HRD · pith_short_16: W5M22WYA7HRDFCOZ · pith_short_8: W5M22WYA

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/W5M22WYA7HRDFCOZTIWLLGR7TI \
  | 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: b759ad5b00f9e23289d99a2cb59a3f9a3d764633bd895f8cdca5a21bb4700045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec27960e5bc7d4e61603f5936fef4f820fbae00a574b523846df1703b5c6ef2",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-02T12:39:30Z",
    "title_canon_sha256": "ed266e91a619e001d8a11d4a59363d2ec927e348f54277af471a1d442ecae688"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.02626",
    "kind": "arxiv",
    "version": 1
  }
}