Pith Number

pith:65CNPYZB

pith:2010:65CNPYZB6JLLXGDZWXANZKARKT

not attested not anchored not stored refs pending

The Three Faces of the Second Law: I. Master Equation Formulation

Christian Van den Broeck, Massimiliano Esposito

arxiv:1005.1683 v1 · 2010-05-10 · 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{65CNPYZB6JLLXGDZWXANZKARKT}

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	2026-05-18T02:07:34.531008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f744d7e321f256bb9879b5c0dca81154f9a7abaef62ed35c0f63ad5374f9d29f

Aliases

arxiv: 1005.1683 · arxiv_version: 1005.1683v1 · doi: 10.48550/arxiv.1005.1683 · pith_short_12: 65CNPYZB6JLL · pith_short_16: 65CNPYZB6JLLXGDZ · pith_short_8: 65CNPYZB

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/65CNPYZB6JLLXGDZWXANZKARKT \
  | 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: f744d7e321f256bb9879b5c0dca81154f9a7abaef62ed35c0f63ad5374f9d29f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f1aa319c00566821d496a4773b5368b44e82fd21f11bbb048ca0a1a72fe1c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-05-10T22:41:08Z",
    "title_canon_sha256": "2262876b6b288295c1e891f4062f3b7849bece3337f7cab43422befd9ec857a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1683",
    "kind": "arxiv",
    "version": 1
  }
}