Pith Number

pith:6FPMFJ7J

pith:2025:6FPMFJ7JQL5PT6IGCNZFCZQUEB

not attested not anchored not stored refs pending

Black Hole Thermodynamics via Tsallis Statistical Mechanics

Phuwadon Chunaksorn, Pitayuth Wongjun, Ratchaphat Nakarachinda

arxiv:2502.02522 v2 · 2025-02-04 · 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{6FPMFJ7JQL5PT6IGCNZFCZQUEB}

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

2 papers in Pith

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

Receipt and verification

First computed	2026-07-05T11:04:21.111155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f15ec2a7e982faf9f9061372516614207ddaf9ee8608149cec452be1b38f4017

Aliases

arxiv: 2502.02522 · arxiv_version: 2502.02522v2 · doi: 10.48550/arxiv.2502.02522 · pith_short_12: 6FPMFJ7JQL5P · pith_short_16: 6FPMFJ7JQL5PT6IG · pith_short_8: 6FPMFJ7J

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/6FPMFJ7JQL5PT6IGCNZFCZQUEB \
  | 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: f15ec2a7e982faf9f9061372516614207ddaf9ee8608149cec452be1b38f4017

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a8183a0d41c81da4361528578ecbbf36f3dded03c0f17a6c1c5144ef7be2ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-02-04T17:45:07Z",
    "title_canon_sha256": "c55a7206243847df40cdd3ee837b57ac8e1970e970408d89e70160891c2f3d28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.02522",
    "kind": "arxiv",
    "version": 2
  }
}