Pith Number

pith:C5FVBM4W

pith:2020:C5FVBM4WNYWW7FWGU5YNN6QL6Y

not attested not anchored not stored refs pending

Heat rectification with a minimal model of two harmonic oscillators

A. Ala\~na, A. Ruiz-Garc\'ia, J. G. Muga, M. A. Sim\'on, M. Pons

arxiv:2010.10432 v1 · 2020-10-20 · cond-mat.stat-mech · quant-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{C5FVBM4WNYWW7FWGU5YNN6QL6Y}

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	2026-07-05T02:12:25.121634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

174b50b3966e2d6f96c6a770d6fa0bf61696024e2597470371bc79d3edb9f269

Aliases

arxiv: 2010.10432 · arxiv_version: 2010.10432v1 · doi: 10.48550/arxiv.2010.10432 · pith_short_12: C5FVBM4WNYWW · pith_short_16: C5FVBM4WNYWW7FWG · pith_short_8: C5FVBM4W

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/C5FVBM4WNYWW7FWGU5YNN6QL6Y \
  | 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: 174b50b3966e2d6f96c6a770d6fa0bf61696024e2597470371bc79d3edb9f269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "360fdfaaa227057c4d613ec905c4b5b6c646713347ffafefeede0f4e9ea42ecd",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2020-10-20T16:43:57Z",
    "title_canon_sha256": "2384774bc9c2614d7935ba5110639147c37dcf7001309a9e072fc379844fced0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.10432",
    "kind": "arxiv",
    "version": 1
  }
}