Pith Number

pith:SM3TLFTB

pith:2024:SM3TLFTBIGZWTSI2XNBL6KPSND

not attested not anchored not stored refs pending

Gravitational wave propagation beyond General Relativity: geometric optic expansion and lens-induced dispersion

Miguel Zumalac\'arregui, Nicola Menadeo

arxiv:2411.07164 v2 · 2024-11-11 · gr-qc · astro-ph.CO · astro-ph.HE · 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{SM3TLFTBIGZWTSI2XNBL6KPSND}

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	2026-07-05T10:07:46.040118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

933735966141b369c91abb42bf29f268e1abb9f827e102b978f3657dd39aa234

Aliases

arxiv: 2411.07164 · arxiv_version: 2411.07164v2 · doi: 10.48550/arxiv.2411.07164 · pith_short_12: SM3TLFTBIGZW · pith_short_16: SM3TLFTBIGZWTSI2 · pith_short_8: SM3TLFTB

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/SM3TLFTBIGZWTSI2XNBL6KPSND \
  | 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: 933735966141b369c91abb42bf29f268e1abb9f827e102b978f3657dd39aa234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb7887596a9f92a114fb56ff973c9863c6b13d2dda65aca302ba8c9c22ff5c6b",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-11-11T17:45:03Z",
    "title_canon_sha256": "9f2267751131b65c578a564ca5dc40d841605f465bf9a769030b9c37f1533d2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07164",
    "kind": "arxiv",
    "version": 2
  }
}