Pith Number

pith:5P32P4DM

pith:2024:5P32P4DMPD2W3SKFFDY3QVMF2P

not attested not anchored not stored refs pending

Modulations of Gravitational Waves due to Non-static Gravitational Lenses

Rong-Gen Cai, Tan Chen, Xing-Yu Yang

arxiv:2410.16378 v2 · 2024-10-21 · 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{5P32P4DMPD2W3SKFFDY3QVMF2P}

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	2026-07-05T10:53:12.662245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf7a7f06c78f56dc94528f1b85585d3cb58cfdd9798462e6d9095d99e2e022c

Aliases

arxiv: 2410.16378 · arxiv_version: 2410.16378v2 · doi: 10.48550/arxiv.2410.16378 · pith_short_12: 5P32P4DMPD2W · pith_short_16: 5P32P4DMPD2W3SKF · pith_short_8: 5P32P4DM

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/5P32P4DMPD2W3SKFFDY3QVMF2P \
  | 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: ebf7a7f06c78f56dc94528f1b85585d3cb58cfdd9798462e6d9095d99e2e022c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7fa53a9f3bb1f3c53eca86afaa1673c48cfa73fd35e20af1790284cb5573536",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2024-10-21T18:00:08Z",
    "title_canon_sha256": "f2e8fb5e76a2e5e645a18e83c4d2e05fbacea5aa7777fb0653a6962310971ed0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.16378",
    "kind": "arxiv",
    "version": 2
  }
}