Pith Number

pith:KXSHNAM4

pith:2025:KXSHNAM4I6WANXBU6T4V2CCL62

not attested not anchored not stored refs pending

Black Hole Gravitational Phenomena in Higher-Order Curvature-Scalar Gravity

A. A. Ara\'ujo Filho, Iarley P. Lobo, N. Heidari

arxiv:2509.11985 v3 · 2025-09-15 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXSHNAM4I6WANXBU6T4V2CCL62}

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	2026-08-04T02:08:16.106490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e476819c47ac06dc34f4f95d084bf69c4100b7873be26481937a25454c36d9

Aliases

arxiv: 2509.11985 · arxiv_version: 2509.11985v3 · doi: 10.48550/arxiv.2509.11985 · pith_short_12: KXSHNAM4I6WA · pith_short_16: KXSHNAM4I6WANXBU · pith_short_8: KXSHNAM4

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/KXSHNAM4I6WANXBU6T4V2CCL62 \
  | 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: 55e476819c47ac06dc34f4f95d084bf69c4100b7873be26481937a25454c36d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d949b3bf99e6536a088a8b00bc88036f5c8be39dab4f156798d2c702264c88f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-09-15T14:33:44Z",
    "title_canon_sha256": "66368ec52440cc3807e7607f4f8ba22a8768508bfa08dff252b95f0e803fe263"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.11985",
    "kind": "arxiv",
    "version": 3
  }
}