Pith Number

pith:C2U5WLSJ

pith:2005:C2U5WLSJQ4A7VUHJNFEFR22I5G

not attested not anchored not stored refs pending

Scattering of Gravitational Waves by the Weak Gravitational Fields of Lens Objects

Ryuichi Takahashi, Shugo Michikoshi, Teruaki Suyama

arxiv:astro-ph/0503343 v2 · 2005-03-16 · astro-ph · 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{C2U5WLSJQ4A7VUHJNFEFR22I5G}

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

2 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

Gravitational-wave lensing beyond rays: a disordered-system approach

Receipt and verification

First computed	2026-07-04T16:51:00.630472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a9db2e498701fad0e9694858eb48e9a916ee02f1dcd0116fc31db7db75a39e

Aliases

arxiv: astro-ph/0503343 · arxiv_version: astro-ph/0503343v2 · doi: 10.48550/arxiv.astro-ph/0503343 · pith_short_12: C2U5WLSJQ4A7 · pith_short_16: C2U5WLSJQ4A7VUHJ · pith_short_8: C2U5WLSJ

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/C2U5WLSJQ4A7VUHJNFEFR22I5G \
  | 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: 16a9db2e498701fad0e9694858eb48e9a916ee02f1dcd0116fc31db7db75a39e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11d3389065720ad4573a87aa85bfb0165e76fb13d9dcd9c33cb8d6d5853697af",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-03-16T13:26:20Z",
    "title_canon_sha256": "e292cc5cd42162800eba8a6ad7d766bbfa5d5cf14f1ed402a1493aeb8383a5d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0503343",
    "kind": "arxiv",
    "version": 2
  }
}