Pith Number

pith:NCP3WK4I

pith:2026:NCP3WK4IR2GHO5ZTQDVV46U6KI

not attested not anchored not stored refs pending

Clifford Ergotropy

Ryusuke Hamazaki, Somnath Maity

Clifford ergotropy is bounded above by a quantity that decreases as the quantum magic of the state increases.

arxiv:2605.09878 v2 · 2026-05-11 · quant-ph · cond-mat.stat-mech

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\pithnumber{NCP3WK4IR2GHO5ZTQDVV46U6KI}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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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

We provide universal upper bounds on Clifford ergotropy, which decrease with increasing magic as quantified by the infinite-order filtered stabilizer Rényi entropy.

C2weakest assumption

That restricting to Clifford operations meaningfully captures the thermodynamic cost of magic and that the filtered stabilizer Rényi entropy is the appropriate quantifier for this restriction across system sizes.

C3one line summary

Clifford ergotropy is upper-bounded by a magic measure, exhibits a control transition in two qubits, and implies a second law under Clifford operations for typical many-body states.

Receipt and verification

First computed	2026-05-20T00:05:46.825637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

689fbb2b888e8c77773380eb5e7a9e522b8a96b59ebacd0a9b35848bb8f90063

Aliases

arxiv: 2605.09878 · arxiv_version: 2605.09878v2 · doi: 10.48550/arxiv.2605.09878 · pith_short_12: NCP3WK4IR2GH · pith_short_16: NCP3WK4IR2GHO5ZT · pith_short_8: NCP3WK4I

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/NCP3WK4IR2GHO5ZTQDVV46U6KI \
  | 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: 689fbb2b888e8c77773380eb5e7a9e522b8a96b59ebacd0a9b35848bb8f90063

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "025faad0a78a3d21f1d930ed66b199a02cfb2bba68a4a1ffa75d682b0871224f",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-11T02:04:21Z",
    "title_canon_sha256": "54b5ba6e3e5b436860d1a82c61df1c17fbc54df359e9f9fe2f3ed38c1765db69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.09878",
    "kind": "arxiv",
    "version": 2
  }
}