Pith Number

pith:672U62TS

pith:2024:672U62TSO7PWH47H735ZH6PUPU

not attested not anchored not stored refs pending

Gravitational Lensing and Image Distortion by Buchdahl Inspired Metric in $\mathcal{R}^2$ Gravity

Mubasher Jamil, Mustapha Azreg-A\"inou, Shafia Maryam, Zoe C S Chan

arxiv:2412.20745 v1 · 2024-12-30 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{672U62TSO7PWH47H735ZH6PUPU}

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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

Epicyclic oscillations and accretion disk around a special Buchdahl-inspired spacetime

Receipt and verification

First computed	2026-07-05T09:57:49.921564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f54f6a7277df63f3e7fefb93f9f47d3d89e576ec7e06b9e561c8a13642dc4e

Aliases

arxiv: 2412.20745 · arxiv_version: 2412.20745v1 · doi: 10.48550/arxiv.2412.20745 · pith_short_12: 672U62TSO7PW · pith_short_16: 672U62TSO7PWH47H · pith_short_8: 672U62TS

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/672U62TSO7PWH47H735ZH6PUPU \
  | 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: f7f54f6a7277df63f3e7fefb93f9f47d3d89e576ec7e06b9e561c8a13642dc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26571787485d8585aa63e5e081b67b9f86ec6b732d70e71dbc6a6926430a664d",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-12-30T06:37:12Z",
    "title_canon_sha256": "cb2660a09dadcead30591de02c22098238fb7b6068b84c970576c3e5efffdeae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20745",
    "kind": "arxiv",
    "version": 1
  }
}