Pith. sign in
Pith Number

pith:WLWPO2PP

pith:2023:WLWPO2PPAYGM5G4HVVRTYO2XGE
not attested not anchored not stored refs pending

Diffractive lensing of nano-Hertz gravitational waves emitted from supermassive binary black holes by intervening galaxies

Hao Ma, Youjun Lu, Yunfeng Chen, Zhiwei Chen

arxiv:2307.02742 v1 · 2023-07-06 · astro-ph.CO · astro-ph.GA · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WLWPO2PPAYGM5G4HVVRTYO2XGE}

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

1 paper in Pith

Receipt and verification
First computed 2026-07-05T06:32:11.855272Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b2ecf769ef060cce9b87ad633c3b573100830943907166eac41824a8bab75b07

Aliases

arxiv: 2307.02742 · arxiv_version: 2307.02742v1 · doi: 10.48550/arxiv.2307.02742 · pith_short_12: WLWPO2PPAYGM · pith_short_16: WLWPO2PPAYGM5G4H · pith_short_8: WLWPO2PP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WLWPO2PPAYGM5G4HVVRTYO2XGE \
  | 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: b2ecf769ef060cce9b87ad633c3b573100830943907166eac41824a8bab75b07
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1fb5737c2e1cee2f2afb4d6f01282d023ed6bd5aab6663a2aa99267a3b08e205",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2023-07-06T03:05:43Z",
    "title_canon_sha256": "f29ce1df7fdc9354840e539adb87f916b0df161a30064d72c31c6569441e9555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.02742",
    "kind": "arxiv",
    "version": 1
  }
}