Pith Number

pith:6P2WZOLD

pith:2019:6P2WZOLDEVHDVDRCO4ZKAEJ2ZU

not attested not anchored not stored refs pending

Thermodynamic Equilibrium in General Relativity

A. Del Popolo (Catania University), A. R. Plastino (CeBio y Departamento de Ciencias Basicas, J. A. S. Lima (Departamento de Astronomia, Universidade de Sao Paulo), Universidad Nacional del Noroeste de la Provincia de Buenos Aires, UNNOBA)

arxiv:1911.09060 v2 · 2019-11-20 · gr-qc · astro-ph.GA · cond-mat.stat-mech · physics.class-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{6P2WZOLDEVHDVDRCO4ZKAEJ2ZU}

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	2026-07-05T01:31:50.446705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3f56cb963254e3a8e227732a0113acd0487b898ace1f8af0f8293c817c24da3

Aliases

arxiv: 1911.09060 · arxiv_version: 1911.09060v2 · doi: 10.48550/arxiv.1911.09060 · pith_short_12: 6P2WZOLDEVHD · pith_short_16: 6P2WZOLDEVHDVDRC · pith_short_8: 6P2WZOLD

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/6P2WZOLDEVHDVDRCO4ZKAEJ2ZU \
  | 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: f3f56cb963254e3a8e227732a0113acd0487b898ace1f8af0f8293c817c24da3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b24f63a3390ef9f1255d09e00e82950ef13b14917efff9e5cc2b3e048b34da3",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "cond-mat.stat-mech",
      "physics.class-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-11-20T17:44:36Z",
    "title_canon_sha256": "0d4eecd9ac02bb3ec4568087d0d136b6e397eb38ff8b329f624f02d46b802954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09060",
    "kind": "arxiv",
    "version": 2
  }
}