Pith Number

pith:257YX5FD

pith:2026:257YX5FDKMLB4P472BYBQJCGOA

not attested not anchored not stored refs pending

Joint population and strong-lensing inference for resolved gravitational-wave events probes the black-hole merger rate beyond the peak of star formation

Matthew Mould

arxiv:2606.30144 v1 · 2026-06-29 · astro-ph.HE · astro-ph.IM · 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{257YX5FDKMLB4P472BYBQJCGOA}

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	2026-06-30T02:17:51.362346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d77f8bf4a353161e3f9fd07018244670202e098a2cd676072fd4718e5f4cad19

Aliases

arxiv: 2606.30144 · arxiv_version: 2606.30144v1 · doi: 10.48550/arxiv.2606.30144 · pith_short_12: 257YX5FDKMLB · pith_short_16: 257YX5FDKMLB4P47 · pith_short_8: 257YX5FD

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/257YX5FDKMLB4P472BYBQJCGOA \
  | 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: d77f8bf4a353161e3f9fd07018244670202e098a2cd676072fd4718e5f4cad19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc95aa4add38dc328c70837b1b36c43b05e59b36e462ac72d04211497b7daf6",
    "cross_cats_sorted": [
      "astro-ph.IM",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2026-06-29T11:21:48Z",
    "title_canon_sha256": "6550522393050c70432aa1643231fbfd4cc3139be1feb1db58ab402998b92171"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30144",
    "kind": "arxiv",
    "version": 1
  }
}