Pith Number

pith:UIPVK3C4

pith:2024:UIPVK3C46O4URB2EI3IEDKHC2M

not attested not anchored not stored refs pending

Spin wave optics for gravitational waves lensed by a Kerr black hole

Hayato Motohashi, Kei-ichiro Kubota, Shinji Mukohyama, Shun Arai

arxiv:2408.03289 v3 · 2024-08-06 · 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{UIPVK3C46O4URB2EI3IEDKHC2M}

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

3 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

Ringdown and lensing of triple systems

Spin Hall effect and Berry curvature of gravitons from quantum field theory

Receipt and verification

First computed	2026-07-05T09:45:13.180345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a21f556c5cf3b948874446d041a8e2d324a3c0d7ffb1a14152a8dd0ac14e73ed

Aliases

arxiv: 2408.03289 · arxiv_version: 2408.03289v3 · doi: 10.48550/arxiv.2408.03289 · pith_short_12: UIPVK3C46O4U · pith_short_16: UIPVK3C46O4URB2E · pith_short_8: UIPVK3C4

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/UIPVK3C46O4URB2EI3IEDKHC2M \
  | 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: a21f556c5cf3b948874446d041a8e2d324a3c0d7ffb1a14152a8dd0ac14e73ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d91590f741edaa65696295b4e24603b5ba55f8bd624df4f8baac27f02dff436",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-08-06T16:38:09Z",
    "title_canon_sha256": "b43aad2bff4e2e75920b6f2bbfa7c831d750ac922c54c8a1333c6430115a3242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.03289",
    "kind": "arxiv",
    "version": 3
  }
}