Pith Number

pith:5FKAC4OE

pith:2022:5FKAC4OE3D3ITOBCU2ROUA562T

not attested not anchored not stored refs pending

Black hole lensing in Kerr-de Sitter spacetimes

Eunice Omwoyo, Hermano Velten, Humberto Belich, J\'ulio C. Fabris

arxiv:2212.10492 v3 · 2022-12-20 · 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{5FKAC4OE3D3ITOBCU2ROUA562T}

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	2026-07-05T07:14:08.408505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9540171c4d8f689b822a6a2ea03bed4fb1e9a2240968f440f3e654f14ef77c0

Aliases

arxiv: 2212.10492 · arxiv_version: 2212.10492v3 · doi: 10.48550/arxiv.2212.10492 · pith_short_12: 5FKAC4OE3D3I · pith_short_16: 5FKAC4OE3D3ITOBC · pith_short_8: 5FKAC4OE

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/5FKAC4OE3D3ITOBCU2ROUA562T \
  | 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: e9540171c4d8f689b822a6a2ea03bed4fb1e9a2240968f440f3e654f14ef77c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f684865dc0df298e35219fcb5c61521116526ae36702de545fe91298bb0293",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-20T18:07:22Z",
    "title_canon_sha256": "3168a5deb8fecba6212576287ca1170cc2fb07209cda064b3dcf7d0bd1ea1379"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.10492",
    "kind": "arxiv",
    "version": 3
  }
}