Pith Number

pith:BPJPBQLE

pith:2025:BPJPBQLE4OBBTIQHZIWOELFIMX

not attested not anchored not stored refs pending

Optimal active engines obey the thermodynamic Lorentz force law

Adam G. Frim, Adrianne Zhong, Michael R. DeWeese

arxiv:2512.17087 v2 · 2025-12-18 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPJPBQLE4OBBTIQHZIWOELFIMX}

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.

Cited by

1 paper in Pith

Wasserstein-2 gradient flows and the geometry of entropy production in classical and quantum stochastic thermodynamics

Receipt and verification

First computed	2026-06-02T02:04:49.608782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bd2f0c164e38219a207ca2ce22ca865e6ca01f0a333c631f7cfe5766359e52b

Aliases

arxiv: 2512.17087 · arxiv_version: 2512.17087v2 · doi: 10.48550/arxiv.2512.17087 · pith_short_12: BPJPBQLE4OBB · pith_short_16: BPJPBQLE4OBBTIQH · pith_short_8: BPJPBQLE

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/BPJPBQLE4OBBTIQHZIWOELFIMX \
  | 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: 0bd2f0c164e38219a207ca2ce22ca865e6ca01f0a333c631f7cfe5766359e52b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04c9c37369d77a2877c451ceb88b38e6a823bb6e1cd5f80da4fece0869fa6f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2025-12-18T21:35:06Z",
    "title_canon_sha256": "6a3dfdb24cc706142970e6e9e9ce99b8f8172e973e6c587f9fc44ada49453ca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.17087",
    "kind": "arxiv",
    "version": 2
  }
}