Pith Number

pith:Q65ZCZSO

pith:2026:Q65ZCZSOZQGY7N3H6MISEX3APZ

not attested not anchored not stored refs pending

Mock Catalogs of Strongly Lensed Gravitational Waves via A Halo Model Approach with Ground-based Detectors

Kai Liao, Lilan Yang, Marek Biesiada, Mingqi Sun, Tonghua Liu, Xuheng Ding, Youkai Li

arxiv:2603.09289 v2 · 2026-03-10 · 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{Q65ZCZSOZQGY7N3H6MISEX3APZ}

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	2026-06-03T01:05:11.521698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87bb91664ecc0d8fb767f311225f607e58edd860429325184f93605e692d9215

Aliases

arxiv: 2603.09289 · arxiv_version: 2603.09289v2 · doi: 10.48550/arxiv.2603.09289 · pith_short_12: Q65ZCZSOZQGY · pith_short_16: Q65ZCZSOZQGY7N3H · pith_short_8: Q65ZCZSO

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/Q65ZCZSOZQGY7N3H6MISEX3APZ \
  | 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: 87bb91664ecc0d8fb767f311225f607e58edd860429325184f93605e692d9215

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25145c8a04392a14144bc5997d3c7cfa0a8670a99784da0e633c524746cb2dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-10T07:18:19Z",
    "title_canon_sha256": "351c17d9a794d291562f6c2cb7313a612f95c488dd6624cd35bd10bf21403a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.09289",
    "kind": "arxiv",
    "version": 2
  }
}