Pith Number

pith:6IQR4WVH

pith:2026:6IQR4WVHCXR7L5BGH7HAIUTUDL

not attested not anchored not stored refs pending

Wave-optics gravitational wave lensing in modified gravity

Alice Garoffolo, Gianmassimo Tasinato

arxiv:2605.21584 v1 · 2026-05-20 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6IQR4WVHCXR7L5BGH7HAIUTUDL}

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	2026-05-22T01:03:23.768899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2211e5aa715e3f5f4263fce0452741af476c58ae12be59c71a7b0dfedb88255

Aliases

arxiv: 2605.21584 · arxiv_version: 2605.21584v1 · doi: 10.48550/arxiv.2605.21584 · pith_short_12: 6IQR4WVHCXR7 · pith_short_16: 6IQR4WVHCXR7L5BG · pith_short_8: 6IQR4WVH

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/6IQR4WVHCXR7L5BGH7HAIUTUDL \
  | 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: f2211e5aa715e3f5f4263fce0452741af476c58ae12be59c71a7b0dfedb88255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd76f8b06bb7942e47250b91eef55d30c6c73791e40befc6491e85d4672facfa",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-20T18:00:01Z",
    "title_canon_sha256": "4543c681c8ca90f920aa91ba4690734426c2dd98359d8f69305114acbebe298a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21584",
    "kind": "arxiv",
    "version": 1
  }
}