Pith Number

pith:HJ4GWKRY

pith:2025:HJ4GWKRY4GU7LXOHAQC4A34IPF

not attested not anchored not stored refs pending

Gravitational lensing of gravitational waves: universal characteristics of strongly lensed memory waveforms

Kai Liao, Ruanjing Zhang, Shaoqi Hou, Xi-Long Fan, Zhi-Chao Zhao, Zong-Hong Zhu

arxiv:2510.09132 v2 · 2025-10-10 · 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{HJ4GWKRY4GU7LXOHAQC4A34IPF}

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.

Receipt and verification

First computed	2026-07-16T00:21:42.599857Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a786b2a38e1a9f5ddc70405c06f88796de731dabfdb54784b913ad319c02f12

Aliases

arxiv: 2510.09132 · arxiv_version: 2510.09132v2 · doi: 10.48550/arxiv.2510.09132 · pith_short_12: HJ4GWKRY4GU7 · pith_short_16: HJ4GWKRY4GU7LXOH · pith_short_8: HJ4GWKRY

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/HJ4GWKRY4GU7LXOHAQC4A34IPF \
  | 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: 3a786b2a38e1a9f5ddc70405c06f88796de731dabfdb54784b913ad319c02f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fc1c56a860fd843567c7bfbb538419da83753d041e49cc979536d4d4b02fd37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-10-10T08:30:45Z",
    "title_canon_sha256": "f602d3282d6aa8bde1e720bcd09624bae1d256c3187a462d8c2437ef4f870692"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2510.09132",
    "kind": "arxiv",
    "version": 2
  }
}