Pith Number

pith:AKKCFCQY

pith:2020:AKKCFCQYJ7RUYP6N4XADVIIFMT

not attested not anchored not stored refs pending

Thermodynamics and Van der Waals Phase Transition of Charged Black Holes in Flat Space via R\'enyi Statistics

Chatchai Promsiri, Ekapong Hirunsirisawat, Watchara Liewrian

arxiv:2003.12986 v1 · 2020-03-29 · hep-th · 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{AKKCFCQYJ7RUYP6N4XADVIIFMT}

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

Modified Cosmology from Mass-to-Horizon Relation: Background Evolution

Receipt and verification

First computed	2026-07-05T01:35:29.922509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0294228a184fe34c3fcde5c03aa10564eb982840104d3d987951948c58ae66a9

Aliases

arxiv: 2003.12986 · arxiv_version: 2003.12986v1 · doi: 10.48550/arxiv.2003.12986 · pith_short_12: AKKCFCQYJ7RU · pith_short_16: AKKCFCQYJ7RUYP6N · pith_short_8: AKKCFCQY

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/AKKCFCQYJ7RUYP6N4XADVIIFMT \
  | 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: 0294228a184fe34c3fcde5c03aa10564eb982840104d3d987951948c58ae66a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dbd199ce4c439170712bfd4326b56473afe80d82acaf1725e1fe2103542bd8d5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-29T09:43:40Z",
    "title_canon_sha256": "0ae12990d50cf810e603694838ada244cf45eb116eb018252689a5b3ca07b054"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.12986",
    "kind": "arxiv",
    "version": 1
  }
}