Pith Number

pith:NTBBNBD5

pith:2006:NTBBNBD5SQPENSB36UORB7VIKH

not attested not anchored not stored refs pending

Thermodynamic Behavior of Field Equations for f(R) Gravity

M. Akbar, Rong-Gen Cai

arxiv:gr-qc/0612089 v2 · 2006-12-14 · 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{NTBBNBD5SQPENSB36UORB7VIKH}

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

Scattering, absorption and greybody factor of scalar particles by Lorentz-violating charged black holes

Quantum-Corrected Thermodynamics of Conformal Weyl Gravity Black Holes: GUP Effects and Phase Transitions

Receipt and verification

First computed	2026-05-18T04:38:36.723159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cc216847d941e46c83bf51d10fea851c404e7746dd16917df6f2b7ce625be42

Aliases

arxiv: gr-qc/0612089 · arxiv_version: gr-qc/0612089v2 · doi: 10.48550/arxiv.gr-qc/0612089 · pith_short_12: NTBBNBD5SQPE · pith_short_16: NTBBNBD5SQPENSB3 · pith_short_8: NTBBNBD5

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/NTBBNBD5SQPENSB36UORB7VIKH \
  | 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: 6cc216847d941e46c83bf51d10fea851c404e7746dd16917df6f2b7ce625be42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab0e7b593abd02527dfacb21ba34d82c0c2b3a1217e3fe9317cc1a3697a9d0a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-12-14T06:55:45Z",
    "title_canon_sha256": "b38e3ffd62c549db5e0f094c410e314e8d5d5e14eef161461a005d3c3137a062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0612089",
    "kind": "arxiv",
    "version": 2
  }
}