Pith Number

pith:CPLLW7LV

pith:2006:CPLLW7LVYALHSGLRY7ZSYOUY3A

not attested not anchored not stored refs pending

Strong field gravitational lensing in scalar tensor theories

Arunava Bhadra, Kabita Sarkar

arxiv:gr-qc/0602087 v3 · 2006-02-22 · 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{CPLLW7LVYALHSGLRY7ZSYOUY3A}

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

Strong gravitational lensing effects around rotating regular black holes

Receipt and verification

First computed	2026-07-05T07:29:23.652238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13d6bb7d75c016791971c7f32c3a98d81896a1180d60bbfe582e17f31963f8b9

Aliases

arxiv: gr-qc/0602087 · arxiv_version: gr-qc/0602087v3 · doi: 10.48550/arxiv.gr-qc/0602087 · pith_short_12: CPLLW7LVYALH · pith_short_16: CPLLW7LVYALHSGLR · pith_short_8: CPLLW7LV

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/CPLLW7LVYALHSGLRY7ZSYOUY3A \
  | 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: 13d6bb7d75c016791971c7f32c3a98d81896a1180d60bbfe582e17f31963f8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3d480fccb4ee02cb44c1591e81ba073c639f8a6242e6f5d8ee07f53914b65e6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-02-22T07:30:26Z",
    "title_canon_sha256": "e930f2f28f589f10e088f4c3ed8460e093bfb98e76b266c52c49440b2836c725"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0602087",
    "kind": "arxiv",
    "version": 3
  }
}