Pith Number

pith:LH4EFRDA

pith:2026:LH4EFRDAENMIYMSQ3XNCPC2HZ4

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Hierarchy of entropy production and thermodynamic trade-off relations in non-Markovian systems

Keiji Saito, Ken Funo, Tan Van Vu

The entropy production of a non-Markovian system upper-bounds that of its Markovian embedding, creating a hierarchy that extends thermodynamic trade-off relations.

arxiv:2604.25245 v2 · 2026-04-28 · cond-mat.stat-mech

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\pithnumber{LH4EFRDAENMIYMSQ3XNCPC2HZ4}

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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

the entropy production defined for the original non-Markovian system upper bounds that of the embedded system, thereby establishing a hierarchy of entropy production under Markovian embedding

C2weakest assumption

The Markovian embedding of generalized Langevin dynamics faithfully reproduces the original non-Markovian thermodynamics without introducing artifacts that would invalidate the entropy-production upper bound.

C3one line summary

Entropy production hierarchy under Markovian embedding of generalized Langevin dynamics enables non-Markovian extensions of key thermodynamic trade-off relations, with memory allowing finite currents at near-zero dissipation in structured underdamped baths.

Receipt and verification

First computed	2026-06-09T01:05:18.187836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59f842c46023588c3250ddda278b47cf3659ada206762ff17989807ee3e25405

Aliases

arxiv: 2604.25245 · arxiv_version: 2604.25245v2 · doi: 10.48550/arxiv.2604.25245 · pith_short_12: LH4EFRDAENMI · pith_short_16: LH4EFRDAENMIYMSQ · pith_short_8: LH4EFRDA

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LH4EFRDAENMIYMSQ3XNCPC2HZ4 \
  | 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: 59f842c46023588c3250ddda278b47cf3659ada206762ff17989807ee3e25405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb38a0b4b39cd068939e9dadca8c0f951ce88cf9954aeccacef5c440880dda1d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-04-28T05:51:41Z",
    "title_canon_sha256": "bb9c7d956fbeae200cb1d6e759340ce5473b052cda2a1e86e768802e1239641b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.25245",
    "kind": "arxiv",
    "version": 2
  }
}