Pith Number

pith:6WUSNW6E

pith:2026:6WUSNW6EKB7JTH5QZSLCZZ2CEN

not attested not anchored not stored refs pending

Probability of gravitational-wave lensing by intermediate-mass black holes and globular clusters

Jose Mar\'ia Ezquiaga, Lorenz Zwick, Luka Vujeva, Rico K. L. Lo

arxiv:2608.07667 v1 · 2026-08-07 · 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{6WUSNW6EKB7JTH5QZSLCZZ2CEN}

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	2026-08-11T00:15:39.025634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5a926dbc4507e999fb0cc962ce7422344ecc672dbeb0a9857b217bdadfe0efd

Aliases

arxiv: 2608.07667 · arxiv_version: 2608.07667v1 · doi: 10.48550/arxiv.2608.07667 · pith_short_12: 6WUSNW6EKB7J · pith_short_16: 6WUSNW6EKB7JTH5Q · pith_short_8: 6WUSNW6E

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/6WUSNW6EKB7JTH5QZSLCZZ2CEN \
  | 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: f5a926dbc4507e999fb0cc962ce7422344ecc672dbeb0a9857b217bdadfe0efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68858734a0f0dddc757d3d1de58ce8e8b01185d9b248f7e035ac2c7f2fdb329a",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-08-07T18:00:06Z",
    "title_canon_sha256": "e7cb08ee4f64df2b4e5102dc673bb01da70272369a7380ea5cf04debc8c46947"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07667",
    "kind": "arxiv",
    "version": 1
  }
}