Pith Number

pith:HJHKW4SS

pith:2019:HJHKW4SSWHC3WOE36UVSDW5XH2

not attested not anchored not stored refs pending

Probing the theory of gravity with gravitational lensing of gravitational waves and galaxy surveys

Benjamin D. Wandelt, Joseph Silk, Suvodip Mukherjee

arxiv:1908.08951 v2 · 2019-08-23 · 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{HJHKW4SSWHC3WOE36UVSDW5XH2}

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

Synergy between CSST and future gravitational-wave detectors: Probing primordial black holes by cross-correlating dark sirens with galaxies

Prospect of Measuring the Cosmic Dipole by Associating Strongly Lensed Gravitational Waves with Galaxy Surveys

Synergy between CSST and third-generation gravitational-wave detectors: Inferring cosmological parameters using cross-correlation of dark sirens and galaxies

Cosmology Intertwined: A Review of the Particle Physics, Astrophysics, and Cosmology Associated with the Cosmological Tensions and Anomalies

Receipt and verification

First computed	2026-07-05T00:51:30.199500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a4eab7252b1c5bb389bf52b21dbb73e9539dda23a647e69fcf3e11d13ce6447

Aliases

arxiv: 1908.08951 · arxiv_version: 1908.08951v2 · doi: 10.48550/arxiv.1908.08951 · pith_short_12: HJHKW4SSWHC3 · pith_short_16: HJHKW4SSWHC3WOE3 · pith_short_8: HJHKW4SS

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/HJHKW4SSWHC3WOE36UVSDW5XH2 \
  | 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: 3a4eab7252b1c5bb389bf52b21dbb73e9539dda23a647e69fcf3e11d13ce6447

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21ff14dd987fdf9fe7db91f261b8cde5e42fa521e3a8d95c37ce6191064540b5",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2019-08-23T18:00:03Z",
    "title_canon_sha256": "9d7af87f412dd2dcd529a8169b66632332b6fd7887c3ca0e8de5c65e67665729"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.08951",
    "kind": "arxiv",
    "version": 2
  }
}