Pith Number

pith:QY7DORL4

pith:2026:QY7DORL45KVCJKTNNNQDM5KM6K

not attested not anchored not stored refs pending

Representational separation between unitary and channel quantum generative models via shared classical randomness at shallow depth

Arunava Majumder, Hans J. Briegel, Hendrik Poulsen Nautrup, Marius Krumm

arxiv:2608.05110 v1 · 2026-08-05 · quant-ph · cs.AI · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QY7DORL45KVCJKTNNNQDM5KM6K}

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	2026-08-06T01:49:13.156134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

863e37457ceaaa24aa6d6b6036754cf2947c04d9d6b09b817b5670bb4b568c6e

Aliases

arxiv: 2608.05110 · arxiv_version: 2608.05110v1 · doi: 10.48550/arxiv.2608.05110 · pith_short_12: QY7DORL45KVC · pith_short_16: QY7DORL45KVCJKTN · pith_short_8: QY7DORL4

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/QY7DORL45KVCJKTNNNQDM5KM6K \
  | 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: 863e37457ceaaa24aa6d6b6036754cf2947c04d9d6b09b817b5670bb4b568c6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37b1e61964c503f9509a93c9694d32699a84f6a538e068dedcb5d85139114d92",
    "cross_cats_sorted": [
      "cs.AI",
      "cs.LG",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-05T17:44:36Z",
    "title_canon_sha256": "5a96e26048f98ffd75052c112cc071068365b6d0128e3a70da8a101fc6ffb425"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05110",
    "kind": "arxiv",
    "version": 1
  }
}