Pith Number

pith:BO4U5CR4

pith:2021:BO4U5CR4V26HEXOF4SZNR7TP22

not attested not anchored not stored refs pending

Thermodynamic geometric analysis of BTZ black hole under f(R) gravity

Wen-Xiang Chen, Yao-Guang Zheng

arxiv:2112.15032 v4 · 2021-12-30 · 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{BO4U5CR4V26HEXOF4SZNR7TP22}

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	2026-07-05T04:08:04.665033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bb94e8a3caebc725dc5e4b2d8fe6fd69b5c9ff17e7d29f515e7e99703c754b6

Aliases

arxiv: 2112.15032 · arxiv_version: 2112.15032v4 · doi: 10.48550/arxiv.2112.15032 · pith_short_12: BO4U5CR4V26H · pith_short_16: BO4U5CR4V26HEXOF · pith_short_8: BO4U5CR4

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/BO4U5CR4V26HEXOF4SZNR7TP22 \
  | 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: 0bb94e8a3caebc725dc5e4b2d8fe6fd69b5c9ff17e7d29f515e7e99703c754b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad2c3a1136ff1b7b4638a0b1b3af0802a3e4d939fd7c50c5ba5ed16733efe025",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-30T12:34:09Z",
    "title_canon_sha256": "3530062d7ac085f6b54f746489c51de06e7751543faf75495f3d9752c64fed2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15032",
    "kind": "arxiv",
    "version": 4
  }
}