Pith Number

pith:LQSFEBYP

pith:2007:LQSFEBYPSUNIOOZBU7SCKDYAT3

not attested not anchored not stored refs pending

Strong deflection limit of black hole gravitational lensing with arbitrary source distances

G. Scarpetta, V. Bozza

arxiv:0705.0246 v2 · 2007-05-02 · 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{LQSFEBYPSUNIOOZBU7SCKDYAT3}

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

Late-Time Cosmology and Structure Formation in Quadratic $f(Q)$ Gravity

Hadronic lensing

Observational constraints on nonlocal black holes via gravitational lensing

Hadronic lensing

Receipt and verification

First computed	2026-07-04T15:21:47.189449Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2452070f951a873b21a7e4250f009edd893b75f87ad861037887b1ba4d3b58

Aliases

arxiv: 0705.0246 · arxiv_version: 0705.0246v2 · doi: 10.48550/arxiv.0705.0246 · pith_short_12: LQSFEBYPSUNI · pith_short_16: LQSFEBYPSUNIOOZB · pith_short_8: LQSFEBYP

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/LQSFEBYPSUNIOOZBU7SCKDYAT3 \
  | 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: 5c2452070f951a873b21a7e4250f009edd893b75f87ad861037887b1ba4d3b58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e4a092312666f47b703fe41c2579ad7a1117b1ae8e757174e69370b906d9a5",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2007-05-02T10:39:43Z",
    "title_canon_sha256": "670a9d64607595c14f63fb0156623a6d6d1bb02298ce7e7ddef2a03a3ae07761"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0246",
    "kind": "arxiv",
    "version": 2
  }
}