Pith Number

pith:7NBEJS2K

pith:2021:7NBEJS2K7NUYOJMSNNKIPD23T6

not attested not anchored not stored refs pending

A Higher Probability of Detecting Lensed Supermassive Black Hole Binaries by LISA

Jian-dong Zhang, Shunjia Huang, Xian Chen, Yi-Ming Hu, Zucheng Gao

arxiv:2102.10295 v2 · 2021-02-20 · 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{7NBEJS2K7NUYOJMSNNKIPD23T6}

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

Finite-Core Signatures in LISA-Band Wave-Optics Lensing by Low-Mass Dark Matter Halos

Effective description of lensed gravitational waves diffracted by stellar fields

Measuring the Hubble constant with strongly lensed gravitational waves from space-based detector networks

Receipt and verification

First computed	2026-07-05T03:58:46.579776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb4244cb4afb698725926b54878f5b9fafef6a38bbd60a4cc6f9ae5f51ffbfa1

Aliases

arxiv: 2102.10295 · arxiv_version: 2102.10295v2 · doi: 10.48550/arxiv.2102.10295 · pith_short_12: 7NBEJS2K7NUY · pith_short_16: 7NBEJS2K7NUYOJMS · pith_short_8: 7NBEJS2K

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/7NBEJS2K7NUYOJMSNNKIPD23T6 \
  | 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: fb4244cb4afb698725926b54878f5b9fafef6a38bbd60a4cc6f9ae5f51ffbfa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c209eb9d03275824ab33ad37b4a660b5be9d4fe349019eaf696d8aa3f4c6453",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-02-20T09:10:11Z",
    "title_canon_sha256": "6349c9e7df7f1a6334ef1679b3fae9ced42541717289baa756dc1c8b3fb8ed29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.10295",
    "kind": "arxiv",
    "version": 2
  }
}