Pith Number

pith:NTTR5RWH

pith:2021:NTTR5RWHYSOKBCQ7EJWY5PCDC6

not attested not anchored not stored refs pending

Thermodynamic geometric analysis of conventional black holes under f(R) gravity

Jing-Yi Zhang, Wen-Xiang Chen, Yao-Guang Zheng

arxiv:2112.06718 v3 · 2021-12-13 · 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{NTTR5RWHYSOKBCQ7EJWY5PCDC6}

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	2026-07-05T03:51:46.056107Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ce71ec6c7c49ca08a1f226d8ebc43178fe9334458fd5dca0281596d04e4b3d0

Aliases

arxiv: 2112.06718 · arxiv_version: 2112.06718v3 · doi: 10.48550/arxiv.2112.06718 · pith_short_12: NTTR5RWHYSOK · pith_short_16: NTTR5RWHYSOKBCQ7 · pith_short_8: NTTR5RWH

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/NTTR5RWHYSOKBCQ7EJWY5PCDC6 \
  | 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: 6ce71ec6c7c49ca08a1f226d8ebc43178fe9334458fd5dca0281596d04e4b3d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0613256eb2ba041eaef40c6c71ded2240f917675c5f9c5da2d976ec23e9e6ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-12-13T15:01:52Z",
    "title_canon_sha256": "c37be877c49f49a69de1ad8ecd6abf858d4786f14402b8ea53b29933e1959690"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.06718",
    "kind": "arxiv",
    "version": 3
  }
}