Pith Number

pith:MXJUJPVH

pith:2001:MXJUJPVH5JDPLRMRNJCKIEKUL6

not attested not anchored not stored refs pending

Strong field limit of black hole gravitational lensing

G. Iovane, G. Scarpetta, S. Capozziello, V. Bozza

arxiv:gr-qc/0102068 v1 · 2001-02-14 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MXJUJPVH5JDPLRMRNJCKIEKUL6}

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.

Cited by

4 papers in Pith

Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity

Hadronic lensing

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing

Hadronic lensing

Receipt and verification

First computed	2026-05-18T01:39:24.399639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d344bea7ea46f5c5916a44a411545f8ec2010a96bc143081906fd8d76f9c34

Aliases

arxiv: gr-qc/0102068 · arxiv_version: gr-qc/0102068v1 · doi: 10.48550/arxiv.gr-qc/0102068 · pith_short_12: MXJUJPVH5JDP · pith_short_16: MXJUJPVH5JDPLRMR · pith_short_8: MXJUJPVH

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/MXJUJPVH5JDPLRMRNJCKIEKUL6 \
  | 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: 65d344bea7ea46f5c5916a44a411545f8ec2010a96bc143081906fd8d76f9c34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df1620656eac2ebcaef53d5a703ce00459889411e6bf830b394a457d8e15976c",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-14T14:12:17Z",
    "title_canon_sha256": "d038ee3833315a802072082e8b3c978412abcbb58074765b3eec9c88900c7f32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102068",
    "kind": "arxiv",
    "version": 1
  }
}