Pith Number

pith:4PI24MXY

pith:2023:4PI24MXYIYNMU6UH47MS6YSZYB

not attested not anchored not stored refs pending

Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes

G. Mustafa, Riasat Ali, Rimsha Babar, Xia Tiecheng, Zunaira Akhtar

arxiv:2301.02216 v1 · 2023-01-05 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PI24MXYIYNMU6UH47MS6YSZYB}

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	2026-07-05T05:30:58.010025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0

Aliases

arxiv: 2301.02216 · arxiv_version: 2301.02216v1 · doi: 10.48550/arxiv.2301.02216 · pith_short_12: 4PI24MXYIYNM · pith_short_16: 4PI24MXYIYNMU6UH · pith_short_8: 4PI24MXY

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/4PI24MXYIYNMU6UH47MS6YSZYB \
  | 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: e3d1ae32f8461aca7a87e7d92f6259c05e2a228459acb90986522dddfadeabc0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a4a9834c122ec255f25bf6704def82139b861d533f32c10184c35d5cffead6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-01-05T18:38:06Z",
    "title_canon_sha256": "df02ad35a4459d7bd3b7415d413a28ae13189c4a4faccfa1341b8a7fd9a7d3c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.02216",
    "kind": "arxiv",
    "version": 1
  }
}