Pith Number

pith:RCRNXTBC

pith:2021:RCRNXTBC6F3UA4ZCQ2UT3L6CK2

not attested not anchored not stored refs pending

Lensing of gravitational waves as a probe of compact dark matter

Juan Urrutia, Ville Vaskonen

arxiv:2109.03213 v3 · 2021-09-07 · astro-ph.CO · astro-ph.HE · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCRNXTBC6F3UA4ZCQ2UT3L6CK2}

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

4 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

Gravitational-wave lensing beyond rays: a disordered-system approach

Receipt and verification

First computed	2026-07-05T03:31:30.263269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a2dbcc22f17740732286a93dafc256a235d0634cf1651817eedbb6d7adc1d0

Aliases

arxiv: 2109.03213 · arxiv_version: 2109.03213v3 · doi: 10.48550/arxiv.2109.03213 · pith_short_12: RCRNXTBC6F3U · pith_short_16: RCRNXTBC6F3UA4ZC · pith_short_8: RCRNXTBC

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/RCRNXTBC6F3UA4ZCQ2UT3L6CK2 \
  | 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: 88a2dbcc22f17740732286a93dafc256a235d0634cf1651817eedbb6d7adc1d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "577956dde4d2f8a2707e30ff9a44bb96c25047cdb025af911611eb986afa9f40",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-09-07T17:26:53Z",
    "title_canon_sha256": "220b887be0a0c7ab68578ef94daad461d982418cade95ccfa1ca3fa387a9f3da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.03213",
    "kind": "arxiv",
    "version": 3
  }
}