Pith Number

pith:2ZDTPLCG

pith:2013:2ZDTPLCGMIOKFU4WANOYJHPTON

not attested not anchored not stored refs pending

A thermodynamic formalism for continuous time Markov chains with values on the Bernoulli Space: entropy, pressure and large deviations

Adriana Neumann, Artur O. Lopes, Philippe Thieullen

arxiv:1307.0237 v3 · 2013-06-30 · math.DS · cond-mat.stat-mech · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZDTPLCGMIOKFU4WANOYJHPTON}

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	2026-05-18T01:49:06.131387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64737ac46621ca2d396035d849df3737d11e389c2e72864ed03a6aca6fe19fb

Aliases

arxiv: 1307.0237 · arxiv_version: 1307.0237v3 · doi: 10.48550/arxiv.1307.0237 · pith_short_12: 2ZDTPLCGMIOK · pith_short_16: 2ZDTPLCGMIOKFU4W · pith_short_8: 2ZDTPLCG

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/2ZDTPLCGMIOKFU4WANOYJHPTON \
  | 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: d64737ac46621ca2d396035d849df3737d11e389c2e72864ed03a6aca6fe19fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e6c3737f5484d4bb7a0c9bd5e8e2ca853a2f1d52f2e6a326f137c993afb408b",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-30T19:59:50Z",
    "title_canon_sha256": "69de0f59ec52ef59cb78a93a3e3a91010f830e8ce89dd445b5b5df7845736dbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0237",
    "kind": "arxiv",
    "version": 3
  }
}