Pith Number

pith:YDT5FTPW

pith:2024:YDT5FTPWR77HGGXYOREFX2SVI2

not attested not anchored not stored refs pending

The Born approximation in wave optics gravitational lensing revisited

Hirotaka Yarimoto, Masamune Oguri

arxiv:2412.07272 v2 · 2024-12-10 · astro-ph.CO · 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{YDT5FTPWR77HGGXYOREFX2SVI2}

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 Effects from Gravitational Wave Propagation Through Dark Matter Halos

Wave-optics gravitational wave lensing in modified gravity

Receipt and verification

First computed	2026-07-05T10:53:13.919782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0e7d2cdf68ffe731af874485bea5546b6beca3444f7437d16d7c3de9fc0ddc6

Aliases

arxiv: 2412.07272 · arxiv_version: 2412.07272v2 · doi: 10.48550/arxiv.2412.07272 · pith_short_12: YDT5FTPWR77H · pith_short_16: YDT5FTPWR77HGGXY · pith_short_8: YDT5FTPW

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/YDT5FTPWR77HGGXYOREFX2SVI2 \
  | 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: c0e7d2cdf68ffe731af874485bea5546b6beca3444f7437d16d7c3de9fc0ddc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "324527324cf60196c8096cea733ed22ccd375624351264b6e6d2ff4f562d72d0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-12-10T07:54:47Z",
    "title_canon_sha256": "2d4aebcc98a3bdda1b1b18ee783532296f0684ed869538f8718e0225a4b7815d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.07272",
    "kind": "arxiv",
    "version": 2
  }
}