Pith Number

pith:MKTK6P5S

pith:2017:MKTK6P5S4DI534CLHW3TAGXHV4

not attested not anchored not stored refs pending

Precise LIGO Lensing Rate Predictions for Binary Black Holes

Kaze W. K. Wong, Ken K. Y. Ng, Tjonnie G. F. Li, Tom Broadhurst

arxiv:1703.06319 v1 · 2017-03-18 · 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{MKTK6P5S4DI534CLHW3TAGXHV4}

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

2 papers in Pith

Wave-optics gravitational wave lensing in modified gravity

Parameter inference of millilensed gravitational waves using neural spline flows

Receipt and verification

First computed	2026-05-18T00:25:20.924095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a6af3fb2e0d1ddf04b3db7301ae7af2266b217299fea99247c0cea5ac0eff1

Aliases

arxiv: 1703.06319 · arxiv_version: 1703.06319v1 · doi: 10.48550/arxiv.1703.06319 · pith_short_12: MKTK6P5S4DI5 · pith_short_16: MKTK6P5S4DI534CL · pith_short_8: MKTK6P5S

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/MKTK6P5S4DI534CLHW3TAGXHV4 \
  | 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: 62a6af3fb2e0d1ddf04b3db7301ae7af2266b217299fea99247c0cea5ac0eff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cafc7f6dc6e9d38131d345881a2a99a9079b367fb305638960d6a232f45343b5",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-03-18T17:10:24Z",
    "title_canon_sha256": "4fee5136ead7faf49a68cb018cc7b4819c7585378f467ea6089a3616ad9f0dc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06319",
    "kind": "arxiv",
    "version": 1
  }
}