Pith Number

pith:DIXPT4ZK

pith:2026:DIXPT4ZKNYWRVD424OVL2ASAGR

not attested not anchored not stored refs pending

Optimal Finite-Time Control of Nonreciprocal Brownian Dimers: Thermodynamic Anomaly and Multiple Transitions

Ruicheng Bao

arxiv:2607.20420 v1 · 2026-07-22 · cond-mat.stat-mech · cond-mat.soft · physics.bio-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{DIXPT4ZKNYWRVD424OVL2ASAGR}

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	2026-07-23T01:25:20.015163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a2ef9f32a6e2d1a8f9ae3aabd0240347e9b9449ac36a73514da2e06e40bc0e7

Aliases

arxiv: 2607.20420 · arxiv_version: 2607.20420v1 · doi: 10.48550/arxiv.2607.20420 · pith_short_12: DIXPT4ZKNYWR · pith_short_16: DIXPT4ZKNYWRVD42 · pith_short_8: DIXPT4ZK

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/DIXPT4ZKNYWRVD424OVL2ASAGR \
  | 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: 1a2ef9f32a6e2d1a8f9ae3aabd0240347e9b9449ac36a73514da2e06e40bc0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6174082b1b6a8c144f7186ec2babcbf5d192822f5cb953a36025c9d40def086a",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-07-22T17:57:44Z",
    "title_canon_sha256": "93d2fe23c251135c5b072ea4aa8c9beeef84313f11560bc88cf8072f92e26e46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.20420",
    "kind": "arxiv",
    "version": 1
  }
}