Pith Number

pith:D3PCIUPN

pith:2026:D3PCIUPNAL7VWKL6JJV44RFVTY

not attested not anchored not stored refs pending

Gravitational lensing by extremal rotating black holes in the strong deflection limit

Fabiano Feleppa, Valerio Bozza, Welmoed Marit de Graaf

arxiv:2606.29418 v1 · 2026-06-28 · 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{D3PCIUPNAL7VWKL6JJV44RFVTY}

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	2026-06-30T01:18:05.528116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ede2451ed02ff5b297e4a6bce44b59e24a44c3b8b48bedd8099a85dcf288e70

Aliases

arxiv: 2606.29418 · arxiv_version: 2606.29418v1 · doi: 10.48550/arxiv.2606.29418 · pith_short_12: D3PCIUPNAL7V · pith_short_16: D3PCIUPNAL7VWKL6 · pith_short_8: D3PCIUPN

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/D3PCIUPNAL7VWKL6JJV44RFVTY \
  | 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: 1ede2451ed02ff5b297e4a6bce44b59e24a44c3b8b48bedd8099a85dcf288e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a8cd5f55fe448d2e814809bc5fe3148fef93e1561838a87f3175ea1c402b23e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-28T14:29:27Z",
    "title_canon_sha256": "390c1f9bd8fe98b038c252fb0879f4ad84434b59fed4edcf5b9a2df819b39da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29418",
    "kind": "arxiv",
    "version": 1
  }
}