Pith Number

pith:AF4JMZ4K

pith:2021:AF4JMZ4KIH2GSKASOKIW2CEX7Y

not attested not anchored not stored refs pending

Impact of astrophysical binary coalescence timescales on the rate of lensed gravitational wave events

George F. Smoot, Jose M. Diego, Joseph Silk, Suvodip Mukherjee, Tom Broadhurst

arxiv:2106.00392 v2 · 2021-06-01 · gr-qc · astro-ph.CO · astro-ph.GA · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AF4JMZ4KIH2GSKASOKIW2CEX7Y}

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.

Cited by

3 papers in Pith

Model-Independent Search Discards Faint Lensed-Pairs of Gravitational Wave Events in the Sub-Threshold Candidates of GWTC-4

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

False Alarm Rates in Detecting Gravitational Wave Lensing from Astrophysical Coincidences: Insights with Model-Independent Technique GLANCE

Receipt and verification

First computed	2026-07-05T02:59:22.613481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

017896678a41f469281272916d0897fe155474b1e7713495d0785d6d9eac581e

Aliases

arxiv: 2106.00392 · arxiv_version: 2106.00392v2 · doi: 10.48550/arxiv.2106.00392 · pith_short_12: AF4JMZ4KIH2G · pith_short_16: AF4JMZ4KIH2GSKAS · pith_short_8: AF4JMZ4K

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/AF4JMZ4KIH2GSKASOKIW2CEX7Y \
  | 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: 017896678a41f469281272916d0897fe155474b1e7713495d0785d6d9eac581e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c5b2fdbc7ce637905e6de2517921507afcc3155c586b1b2c7601b8205dc0fda",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-06-01T11:02:09Z",
    "title_canon_sha256": "f6f4a69f111eee2ca303bb6790830ea2e2a964e4e62b38d61452a538a76f2721"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.00392",
    "kind": "arxiv",
    "version": 2
  }
}