Pith Number

pith:RXE6KR7A

pith:2026:RXE6KR7AHBLS7WJWDXPHEU2P62

not attested not anchored not stored refs pending

Universal Thermodynamic Topological Classes of BTZ Black Holes in Einstein and F(R) Gravity

Meng-Yao Zhang, Peng Zhao, Yu-Die Wan, Zheng-Wen Long

arxiv:2605.26481 v1 · 2026-05-26 · 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{RXE6KR7AHBLS7WJWDXPHEU2P62}

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	2026-05-27T01:05:20.487151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dc9e547e038572fd9361dde72534ff6aa32950177c7673a46368c7c91238130

Aliases

arxiv: 2605.26481 · arxiv_version: 2605.26481v1 · doi: 10.48550/arxiv.2605.26481 · pith_short_12: RXE6KR7AHBLS · pith_short_16: RXE6KR7AHBLS7WJW · pith_short_8: RXE6KR7A

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/RXE6KR7AHBLS7WJWDXPHEU2P62 \
  | 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: 8dc9e547e038572fd9361dde72534ff6aa32950177c7673a46368c7c91238130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6adf1debce1d7fb8f8188bdfc9d91c23e65a1fba8de0e5ee64184442587d8dc2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-26T02:40:12Z",
    "title_canon_sha256": "c8a6d9e391a56a4cff963ca4f8441f7e39bb0a6a71e12a3ba64324a49cdfd3cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.26481",
    "kind": "arxiv",
    "version": 1
  }
}