Pith Number

pith:S7EJKL2D

pith:2021:S7EJKL2DBECLBGIUKPIHBT5PHM

not attested not anchored not stored refs pending

Rotating Black Holes in Horndeski Gravity: Thermodynamic and Gravitational Lensing

Rahul Kumar Walia, Sunil D. Maharaj, Sushant G. Ghosh

arxiv:2109.08055 v2 · 2021-09-16 · 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{S7EJKL2DBECLBGIUKPIHBT5PHM}

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	2026-07-05T04:34:26.518493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

97c8952f430904b0991453d070cfaf3b113a68a9965295036fa1bdf81dfa6668

Aliases

arxiv: 2109.08055 · arxiv_version: 2109.08055v2 · doi: 10.48550/arxiv.2109.08055 · pith_short_12: S7EJKL2DBECL · pith_short_16: S7EJKL2DBECLBGIU · pith_short_8: S7EJKL2D

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/S7EJKL2DBECLBGIUKPIHBT5PHM \
  | 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: 97c8952f430904b0991453d070cfaf3b113a68a9965295036fa1bdf81dfa6668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97dcdaf60c182f1cd8852df1f1318b7d0a9cb874f0a0061b5c968944e8471b61",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-16T15:39:03Z",
    "title_canon_sha256": "26e1cb55c038713929cd1168b2877cfafc7e85a2610d097d54671b006ed8b1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08055",
    "kind": "arxiv",
    "version": 2
  }
}