Pith Number

pith:SM74WY7U

pith:2026:SM74WY7URQKFLEYKHZUSHPTBMF

not attested not anchored not stored refs pending

Emergent mirror symmetry in the optimization of the central-spin quantum battery

Hai-Long Shi, Hui-Yu Yang, Kun Zhang, Xiao-Hui Wang

arxiv:2606.11557 v1 · 2026-06-10 · 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{SM74WY7URQKFLEYKHZUSHPTBMF}

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	2026-06-11T01:09:55.968759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933fcb63f48c1455930a3e6923be61614cbf460a136bb9340932f70884ea3814

Aliases

arxiv: 2606.11557 · arxiv_version: 2606.11557v1 · doi: 10.48550/arxiv.2606.11557 · pith_short_12: SM74WY7URQKF · pith_short_16: SM74WY7URQKFLEYK · pith_short_8: SM74WY7U

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/SM74WY7URQKFLEYKHZUSHPTBMF \
  | 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: 933fcb63f48c1455930a3e6923be61614cbf460a136bb9340932f70884ea3814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "608275c3ab5412061e8fcea3627cf673c5f60a1cbe15f3b381d8809aa11f0346",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-10T01:34:43Z",
    "title_canon_sha256": "38da0a3da5303854e11d7c8313d27bd60db03185c407fd53aee218c31caf3b12"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11557",
    "kind": "arxiv",
    "version": 1
  }
}