Pith Number

pith:CXCIQTSW

pith:2026:CXCIQTSWPFNXNFWMZR5U7ZGBMT

not attested not anchored not stored refs pending

Quantum thermodynamics with uncertain equilibrium

Kun Fang, Munan Zhang

Uncertain equilibrium states impose a no-go theorem on athermality purification in quantum thermodynamics.

arxiv:2604.13524 v2 · 2026-04-15 · quant-ph · cs.IT · math.IT

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\usepackage{pith}
\pithnumber{CXCIQTSWPFNXNFWMZR5U7ZGBMT}

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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

Under a generic geometric condition, we prove a no-go theorem that sharply limits athermality 'purification': conversion from an uncertain athermality resource to a definite target is either trivial or impossible, with no room for tradeoff.

C2weakest assumption

The generic geometric condition on the set of candidate equilibrium states that enables the no-go theorem for athermality purification.

C3one line summary

Quantum thermodynamics with uncertain equilibrium leads to a no-go theorem on athermality purification and strong irreversibility in battery models, with work extraction and formation characterized by min- and max-relative entropies and new subspace-constrained variants.

Cited by

2 papers in Pith

Operational interpretation of the reverse sandwiched Renyi divergences in composite quantum hypothesis testing

Receipt and verification

First computed	2026-06-05T01:14:38.573556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c4884e56795b7696cccc7b4fe4c164e5e56ec2a85df1306af1c85016f8b4e1

Aliases

arxiv: 2604.13524 · arxiv_version: 2604.13524v2 · doi: 10.48550/arxiv.2604.13524 · pith_short_12: CXCIQTSWPFNX · pith_short_16: CXCIQTSWPFNXNFWM · pith_short_8: CXCIQTSW

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/CXCIQTSWPFNXNFWMZR5U7ZGBMT \
  | 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: 15c4884e56795b7696cccc7b4fe4c164e5e56ec2a85df1306af1c85016f8b4e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd6c8254e444f874550cd9378ea9109eb13e82d508b275c84a0a791b3fa610aa",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-04-15T06:16:00Z",
    "title_canon_sha256": "7f10b1996081392ec54a892a3c23fe29436f3dbab2a4a8c0b9cd6d5b3e5fc1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.13524",
    "kind": "arxiv",
    "version": 2
  }
}