Pith Number

pith:WJLTWSSZ

pith:2019:WJLTWSSZNNKRDVR2GZWXRPZNM7

not attested not anchored not stored refs pending

Constraining the abundance of primordial black holes with gravitational lensing of gravitational waves at LIGO frequencies

Jose M. Diego

arxiv:1911.05736 v1 · 2019-11-13 · astro-ph.CO · astro-ph.GA · 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{WJLTWSSZNNKRDVR2GZWXRPZNM7}

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

Effective description of lensed gravitational waves diffracted by stellar fields

Wave-optics gravitational wave lensing in modified gravity

Parameter inference of millilensed gravitational waves using neural spline flows

Receipt and verification

First computed	2026-07-05T01:14:31.381700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2573b4a596b5511d63a366d78bf2d67ca04fc3c770f30029ff61bc62c4ff02e

Aliases

arxiv: 1911.05736 · arxiv_version: 1911.05736v1 · doi: 10.48550/arxiv.1911.05736 · pith_short_12: WJLTWSSZNNKR · pith_short_16: WJLTWSSZNNKRDVR2 · pith_short_8: WJLTWSSZ

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/WJLTWSSZNNKRDVR2GZWXRPZNM7 \
  | 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: b2573b4a596b5511d63a366d78bf2d67ca04fc3c770f30029ff61bc62c4ff02e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3864e4350915550606c8485368b1b3bc29a135cdca0179b7f6e5852d6e7047d3",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-11-13T19:00:00Z",
    "title_canon_sha256": "d294d8583b9367361875bcdf5ca25f0a6e96d7fbd2be3d794e71700290f53ba1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.05736",
    "kind": "arxiv",
    "version": 1
  }
}