Pith Number

pith:BXMY3AUU

pith:2020:BXMY3AUUJ3P4V2JFSHDSHJIUVD

not attested not anchored not stored refs pending

Energy and entropy compensation, phase transition and kinetics of four dimensional charged Gauss-Bonnet Anti-de Sitter black holes on the underlying free energy landscape

Jin Wang, Ran Li

arxiv:2012.05424 v2 · 2020-12-10 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXMY3AUUJ3P4V2JFSHDSHJIUVD}

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.

Cited by

1 paper in Pith

Probabilistic Evolution of Black Hole Thermodynamic States via Fokker-Planck Equation

Receipt and verification

First computed	2026-07-05T01:58:57.625554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd98d82944edfcae92591c723a514a8e68c30d7b4df48e0d9dd3d33229deb27

Aliases

arxiv: 2012.05424 · arxiv_version: 2012.05424v2 · doi: 10.48550/arxiv.2012.05424 · pith_short_12: BXMY3AUUJ3P4 · pith_short_16: BXMY3AUUJ3P4V2JF · pith_short_8: BXMY3AUU

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/BXMY3AUUJ3P4V2JFSHDSHJIUVD \
  | 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: 0dd98d82944edfcae92591c723a514a8e68c30d7b4df48e0d9dd3d33229deb27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95d1ade91f97d3a03aaf560e120cba1624b9a04a71d661b4ae71c01de9dcdfce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-10T02:50:41Z",
    "title_canon_sha256": "96d7207009c6f907fd46732e9f5f22d98478067d3d4319f7f86e6b0a81ab657f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.05424",
    "kind": "arxiv",
    "version": 2
  }
}