Pith Number

pith:M3M7EOUZ

pith:2019:M3M7EOUZTKHNC2TRYM7WKCO3C7

not attested not anchored not stored refs pending

Entropy and Energy of Static Spherically Symmetric Black Hole in $f(R)$ theory

Rong-Jia Yang, Yaoguang Zheng

arxiv:1907.05868 v3 · 2019-07-11 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3M7EOUZTKHNC2TRYM7WKCO3C7}

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

1 paper in Pith

Thermodynamics of FLRW universe in Quadratic Gravity

Receipt and verification

First computed	2026-07-05T00:51:19.994792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66d9f23a999a8ed16a71c33f6509db17fa092b68529aa5a41bdd090d1434bceb

Aliases

arxiv: 1907.05868 · arxiv_version: 1907.05868v3 · doi: 10.48550/arxiv.1907.05868 · pith_short_12: M3M7EOUZTKHN · pith_short_16: M3M7EOUZTKHNC2TR · pith_short_8: M3M7EOUZ

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/M3M7EOUZTKHNC2TRYM7WKCO3C7 \
  | 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: 66d9f23a999a8ed16a71c33f6509db17fa092b68529aa5a41bdd090d1434bceb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84322a9e321a2dc1a5a6d34c8de2e8c10551d9de315894caf596b01ea4b08d4f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-07-11T14:56:38Z",
    "title_canon_sha256": "0496e2dce85c0594780900b591c68d630fde4298b4ded9480ca90eada8b453bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.05868",
    "kind": "arxiv",
    "version": 3
  }
}