Pith Number

pith:33PVJVPF

pith:2026:33PVJVPFCEDU3D2H3UHWQBH7V2

not attested not anchored not stored refs pending

Rethinking Expressibility-Trainability Trade-off in Hybrid Quantum Neural Networks

Muhammad Kashif, Muhammad Shafique

arxiv:2605.25768 v1 · 2026-05-25 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{33PVJVPFCEDU3D2H3UHWQBH7V2}

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	2026-05-26T02:04:53.936754Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dedf54d5e511074d8f47dd0f6804ffaeb797f4289e771d51034ccbce679327b2

Aliases

arxiv: 2605.25768 · arxiv_version: 2605.25768v1 · doi: 10.48550/arxiv.2605.25768 · pith_short_12: 33PVJVPFCEDU · pith_short_16: 33PVJVPFCEDU3D2H · pith_short_8: 33PVJVPF

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/33PVJVPFCEDU3D2H3UHWQBH7V2 \
  | 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: dedf54d5e511074d8f47dd0f6804ffaeb797f4289e771d51034ccbce679327b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80962609d8e02a3eed8e723e8f5e3c237f197915fde9b249e7ceeb4d1647c551",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-25T12:19:26Z",
    "title_canon_sha256": "5d2f44b5991373e5536ef3a922942755fe9f9827dcb7478fee4906589d93d3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.25768",
    "kind": "arxiv",
    "version": 1
  }
}