Pith Number

pith:S2MPL7KH

pith:2025:S2MPL7KHXGZEPQEB4A5QYUCW2M

not attested not anchored not stored refs pending

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

Jaswinder Singh, Shubham Kala

arxiv:2507.17280 v1 · 2025-07-23 · 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{S2MPL7KHXGZEPQEB4A5QYUCW2M}

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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

2 papers in Pith

Shadow signatures and energy accumulation in Lorentzian-Euclidean black holes

Light Deflection and Greybody Bound Around a BTZ-ModMax Black Hole in Plasma Medium

Receipt and verification

First computed	2026-07-05T11:42:05.116225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9698f5fd47b9b247c081e03b0c5056d3216967120e4ddbc38bf62c27d81e1604

Aliases

arxiv: 2507.17280 · arxiv_version: 2507.17280v1 · doi: 10.48550/arxiv.2507.17280 · pith_short_12: S2MPL7KHXGZE · pith_short_16: S2MPL7KHXGZEPQEB · pith_short_8: S2MPL7KH

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/S2MPL7KHXGZEPQEB4A5QYUCW2M \
  | 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: 9698f5fd47b9b247c081e03b0c5056d3216967120e4ddbc38bf62c27d81e1604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d8a32bab8573035b9770e45cf78ba68e540f81f519fdac049f60f5bbeaa77da",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-07-23T07:34:53Z",
    "title_canon_sha256": "ecce5379f459a893a06e06fed840f806818ca71af933bf498cfdd590a5ae7712"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17280",
    "kind": "arxiv",
    "version": 1
  }
}