Pith Number

pith:RU4XVC25

pith:2026:RU4XVC25APOJBJRVDTBGIQ5MKB

not attested not anchored not stored refs pending

Light Deflection due to Spinoptic Effects in Parametrized and Spherically Symmetric Hairy Black Holes

Kelvin S. Alves, Rogerio T. Cavalcanti, Santiago E. Perez Bergliaffa

arxiv:2605.20524 v1 · 2026-05-19 · 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{RU4XVC25APOJBJRVDTBGIQ5MKB}

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	2026-05-21T01:04:40.944369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d397a8b5d03dc90a6351cc26443ac504a18609949baa0e40bca4a29b5c4e136

Aliases

arxiv: 2605.20524 · arxiv_version: 2605.20524v1 · doi: 10.48550/arxiv.2605.20524 · pith_short_12: RU4XVC25APOJ · pith_short_16: RU4XVC25APOJBJRV · pith_short_8: RU4XVC25

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/RU4XVC25APOJBJRVDTBGIQ5MKB \
  | 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: 8d397a8b5d03dc90a6351cc26443ac504a18609949baa0e40bca4a29b5c4e136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b66aeae14d1846a99f2dd5ba8748a2372dabe9687a0de411379d297fedaeff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-19T21:51:19Z",
    "title_canon_sha256": "c2046c8b121220ba6bc7e2feb9c57ba49be31e467cbb57ac1003a6a92e12cda9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.20524",
    "kind": "arxiv",
    "version": 1
  }
}