Pith Number

pith:E27CGPR7

pith:2010:E27CGPR7JU4WNRBFSFFK6PVU3V

not attested not anchored not stored refs pending

Optimal protocols and optimal transport in stochastic thermodynamics

Carlos Mejia-Monasterio, Erik Aurell, Paolo Muratore-Ginanneschi

arxiv:1012.2037 v1 · 2010-12-09 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E27CGPR7JU4WNRBFSFFK6PVU3V}

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	2026-05-18T04:13:56.729379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26be233e3f4d3966c425914aaf3eb4dd6ec77efc10b6cde43cc1ade58d6daceb

Aliases

arxiv: 1012.2037 · arxiv_version: 1012.2037v1 · doi: 10.48550/arxiv.1012.2037 · pith_short_12: E27CGPR7JU4W · pith_short_16: E27CGPR7JU4WNRBF · pith_short_8: E27CGPR7

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/E27CGPR7JU4WNRBFSFFK6PVU3V \
  | 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: 26be233e3f4d3966c425914aaf3eb4dd6ec77efc10b6cde43cc1ade58d6daceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "570b974d5e8ed223358c1bbaf40c0e159263e5bcaf6a567ffefa83d9a4d666a7",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-09T15:50:57Z",
    "title_canon_sha256": "598ddbd5af3c0678fc72053a06e1f89f095eb8b2e6418f1ddfa5f09d0651e516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2037",
    "kind": "arxiv",
    "version": 1
  }
}