Pith Number

pith:HCANONXA

pith:2026:HCANONXAMOKWMTTSJER5YN7EVO

not attested not anchored not stored refs pending

Parity Supervision as a Driver of Generalization in Quantum Generative Modeling

Claudia Linnhoff-Popien, Daniel Hein, Jonas Stein, Markus Baumann, Steffen Udluft, Tobias Rohe

Parity supervision enables quantum Born machines to generalize from finite samples to unseen states by transferring evidence through parity moments.

arxiv:2605.10258 v2 · 2026-05-11 · 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{HCANONXAMOKWMTTSJER5YN7EVO}

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.

Claims

C1strongest claim

Parity supervision improves exact forward Kullback-Leibler fit and unseen high-value-state recovery over IQP-MSE, while the maximum-entropy control does not reproduce the full effect. A parameter-free spectral reconstruction shows that parity moments already transfer evidence from observed samples to structurally compatible unseen states, which the IQP circuit further refines.

C2weakest assumption

The distribution to be learned, the parity objective, and the circuit architecture are structurally aligned; without this alignment the generalization benefit is not claimed to hold.

C3one line summary

Parity supervision improves exact KL fit and recovery of unseen high-value states in IQP Born machines beyond MSE training or max-entropy controls via parity-moment evidence transfer.

Cited by

1 paper in Pith

Spectral Born machines: classically trainable quantum generative models for discrete data

Receipt and verification

First computed	2026-07-23T01:24:29.518294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3880d736e06395664e724923dc37e4abb02f89547bfc870274cfb8610da0711d

Aliases

arxiv: 2605.10258 · arxiv_version: 2605.10258v2 · doi: 10.48550/arxiv.2605.10258 · pith_short_12: HCANONXAMOKW · pith_short_16: HCANONXAMOKWMTTS · pith_short_8: HCANONXA

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/HCANONXAMOKWMTTSJER5YN7EVO \
  | 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: 3880d736e06395664e724923dc37e4abb02f89547bfc870274cfb8610da0711d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4c862c20a98f0e277b6bbf6c7bf66277c621034759ca339fbe8fdbdd398f26d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-11T09:24:12Z",
    "title_canon_sha256": "512a59d0df4de78a6ee38a7c034963d35ce4f1415bf016bdf21b9f04b3525680"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.10258",
    "kind": "arxiv",
    "version": 2
  }
}