Pith Number

pith:7UVR6U7W

pith:2025:7UVR6U7WG53DU767LX6LR23ARY

not attested not anchored not stored refs pending

Null Geodesics, Thermodynamics, Weak Gravitational Lensing, and Black Hole Shadow Characteristics of a Frolov Regular Black Hole with Constraints from EHT Observations

Amare Abebe, Hemwati Nandan, Kush Maithani, Saswati Roy, Shubham Kala

arxiv:2503.19571 v1 · 2025-03-25 · 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{7UVR6U7WG53DU767LX6LR23ARY}

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

Gravitational lensing and shadow around a non-minimally coupled Horndeski black hole in plasma medium

Receipt and verification

First computed	2026-07-05T10:38:57.414868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2b1f53f637763a7fdf5dfcb8eb608e271bf18ebbdd291d12e1e48fd870513f

Aliases

arxiv: 2503.19571 · arxiv_version: 2503.19571v1 · doi: 10.48550/arxiv.2503.19571 · pith_short_12: 7UVR6U7WG53D · pith_short_16: 7UVR6U7WG53DU767 · pith_short_8: 7UVR6U7W

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/7UVR6U7WG53DU767LX6LR23ARY \
  | 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: fd2b1f53f637763a7fdf5dfcb8eb608e271bf18ebbdd291d12e1e48fd870513f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62e63ca0ced2e6da397b1262617a029f98c9d6001af66ec5b312f50f43955115",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-03-25T11:44:05Z",
    "title_canon_sha256": "3a12d99164d474dc53056e055db26449dea3e6d93ce3d871f857f4902cdd754f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.19571",
    "kind": "arxiv",
    "version": 1
  }
}