Pith Number

pith:QZDGL3R2

pith:2022:QZDGL3R2ZUCLOFOYVLKIE5S34L

not attested not anchored not stored refs pending

Thermodynamics of Black Holes with R\'enyi Entropy from Classical Gravity

Chatchai Promsiri, Lunchakorn Tannukij, Pitayuth Wongjun, Ratchaphat Nakarachinda

arxiv:2211.05989 v2 · 2022-11-11 · 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{QZDGL3R2ZUCLOFOYVLKIE5S34L}

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

3 papers in Pith

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

Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics

Receipt and verification

First computed	2026-07-05T10:00:32.097245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

864665ee3acd04b715d8aad482765be2e34b52efa68a8e41f77a4f5e34f3cb9a

Aliases

arxiv: 2211.05989 · arxiv_version: 2211.05989v2 · doi: 10.48550/arxiv.2211.05989 · pith_short_12: QZDGL3R2ZUCL · pith_short_16: QZDGL3R2ZUCLOFOY · pith_short_8: QZDGL3R2

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/QZDGL3R2ZUCLOFOYVLKIE5S34L \
  | 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: 864665ee3acd04b715d8aad482765be2e34b52efa68a8e41f77a4f5e34f3cb9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f72b31ffdacf5172ac8b56a81a62c07f7661dff8278a1ee9bd98952914b925",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-11T03:55:59Z",
    "title_canon_sha256": "e8781bf379e8ed9ffa6681417946bb3760e9f299391923592b279296d40353c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05989",
    "kind": "arxiv",
    "version": 2
  }
}