Pith Number

pith:QC4LTKYN

pith:2005:QC4LTKYNPQQWAC723DLQ3BNUJ7

not attested not anchored not stored refs pending

On gravitational lensing by quadrupole potentials

Croatia), Davor Palle (Rugjer Boskovic Institute, Zagreb

arxiv:astro-ph/0503366 v3 · 2005-03-16 · astro-ph · 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{QC4LTKYNPQQWAC723DLQ3BNUJ7}

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	2026-07-04T14:49:54.248298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80b8b9ab0d7c21600bfad8d70d85b44ffa73265ed9652a11ea1490f1f42d52b4

Aliases

arxiv: astro-ph/0503366 · arxiv_version: astro-ph/0503366v3 · doi: 10.48550/arxiv.astro-ph/0503366 · pith_short_12: QC4LTKYNPQQW · pith_short_16: QC4LTKYNPQQWAC72 · pith_short_8: QC4LTKYN

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/QC4LTKYNPQQWAC723DLQ3BNUJ7 \
  | 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: 80b8b9ab0d7c21600bfad8d70d85b44ffa73265ed9652a11ea1490f1f42d52b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ec4a286b8b614d49f6dbc94c21bc34b0e491a66bba63fc0ef67ab509ae87f9c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-16T19:18:13Z",
    "title_canon_sha256": "bcb1a2867eaaf3d1749f1e3824c1d9a23fe13b83007cc5ab54cad5bd614d7258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503366",
    "kind": "arxiv",
    "version": 3
  }
}