Pith Number

pith:RUU73ONQ

pith:2024:RUU73ONQNNRFAV4CTVQ4V7WNKK

not attested not anchored not stored refs pending

Shadows and Strong Gravitational Lensing Around Black Hole-like Compact Object in Quadratic Gravity

Farook Rahaman, G. Mustafa, Niyaz Uddin Molla, Somi Aktar

arxiv:2410.18227 v3 · 2024-10-23 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RUU73ONQNNRFAV4CTVQ4V7WNKK}

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	2026-07-05T09:53:06.650541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d29fdb9b06b625057829d61cafecd52b39c4a2789c56d526931b8e43c4e8e62

Aliases

arxiv: 2410.18227 · arxiv_version: 2410.18227v3 · doi: 10.48550/arxiv.2410.18227 · pith_short_12: RUU73ONQNNRF · pith_short_16: RUU73ONQNNRFAV4C · pith_short_8: RUU73ONQ

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/RUU73ONQNNRFAV4CTVQ4V7WNKK \
  | 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: 8d29fdb9b06b625057829d61cafecd52b39c4a2789c56d526931b8e43c4e8e62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b66da91b283bed1687419414b77a2398e660097c98a55ddb025325bf04ee178d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-10-23T19:16:56Z",
    "title_canon_sha256": "efb179c6772d10639435c5956fa5cf10c9f7e27cc06e006adc8b7bceed27d2a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.18227",
    "kind": "arxiv",
    "version": 3
  }
}