Pith Number

pith:EKF2OS63

pith:2025:EKF2OS63A4UZDQI2CL2TLDGKPB

not attested not anchored not stored refs pending

Deflection Angle of Regular Black Holes in Nonlinear Electrodynamics: Gauss-Bonnet Theorem, Time Delay, Shadow, and Greybody Bound

Farook Rahaman, Hasrat Hussian Shah, Nayan Sarkar, Pankaj Balo, Susmita Sarkar

arxiv:2509.02633 v1 · 2025-09-01 · 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{EKF2OS63A4UZDQI2CL2TLDGKPB}

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	2026-07-05T12:03:54.610618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228ba74bdb072991c11a12f5358cca7868deced2175b57f21d74a3267221feb8

Aliases

arxiv: 2509.02633 · arxiv_version: 2509.02633v1 · doi: 10.48550/arxiv.2509.02633 · pith_short_12: EKF2OS63A4UZ · pith_short_16: EKF2OS63A4UZDQI2 · pith_short_8: EKF2OS63

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/EKF2OS63A4UZDQI2CL2TLDGKPB \
  | 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: 228ba74bdb072991c11a12f5358cca7868deced2175b57f21d74a3267221feb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb1eabb29b46a335b62e376f38945d914d31f2455ba0623d9b8f7495d93dc21a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-01T18:12:40Z",
    "title_canon_sha256": "f36d153a7735a4585d1a6686999942b19feea465061935c27832762df543d51f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.02633",
    "kind": "arxiv",
    "version": 1
  }
}