Pith Number

pith:T7ES7U3T

pith:2026:T7ES7U3TW3T7PLUUPNDP4QJ3C5

not attested not anchored not stored refs pending

Variational Learning with Sparse Long-range Entangling Gates

Andrew J. Daley, Aydin Deger, Helene M. L\"osl

arxiv:2607.07547 v1 · 2026-07-08 · quant-ph · cond-mat.quant-gas

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7ES7U3TW3T7PLUUPNDP4QJ3C5}

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	2026-07-09T01:20:28.587725Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fc92fd373b6e7f7ae947b46fe413b177a23c43b86fdde13d036aa87e03a75a9

Aliases

arxiv: 2607.07547 · arxiv_version: 2607.07547v1 · doi: 10.48550/arxiv.2607.07547 · pith_short_12: T7ES7U3TW3T7 · pith_short_16: T7ES7U3TW3T7PLUU · pith_short_8: T7ES7U3T

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/T7ES7U3TW3T7PLUUPNDP4QJ3C5 \
  | 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: 9fc92fd373b6e7f7ae947b46fe413b177a23c43b86fdde13d036aa87e03a75a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8776e12d9682ffc47d5fd386c279713efbcfc690737c52340303e346cf27a13a",
    "cross_cats_sorted": [
      "cond-mat.quant-gas"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-08T15:45:05Z",
    "title_canon_sha256": "7424ddcd9b17185985e6584dca260c53d40fa5be50bc943cf197ea8d1af35179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07547",
    "kind": "arxiv",
    "version": 1
  }
}