Pith Number

pith:VQKBK6UW

pith:2026:VQKBK6UWUUU46HDMI3LQQ6NNP6

not attested not anchored not stored refs pending

Identifying lensed gravitational waves with physics-informed posterior learning

Jing-Fei Zhang, Tian-Yang Sun, Xiao Guo, Xin Zhang

arxiv:2607.03885 v1 · 2026-07-04 · gr-qc · astro-ph.CO · astro-ph.IM · 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{VQKBK6UWUUU46HDMI3LQQ6NNP6}

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

Search for strong lensing of gravitational waves in the binary black hole events from O1-O4a

Receipt and verification

First computed	2026-07-07T02:18:12.759860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac14157a96a529cf1c6c46d70879ad7f974a00d0d1cbee264bf1aec908a4f6b7

Aliases

arxiv: 2607.03885 · arxiv_version: 2607.03885v1 · doi: 10.48550/arxiv.2607.03885 · pith_short_12: VQKBK6UWUUU4 · pith_short_16: VQKBK6UWUUU46HDM · pith_short_8: VQKBK6UW

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/VQKBK6UWUUU46HDMI3LQQ6NNP6 \
  | 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: ac14157a96a529cf1c6c46d70879ad7f974a00d0d1cbee264bf1aec908a4f6b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16869b56a42369cb47c3a382df8be27f298ede7f736ccd5b6b5ea179e9a53e18",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "astro-ph.IM",
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-04T14:02:26Z",
    "title_canon_sha256": "34c7d499b1d0d90be022e488dcf5ed363c26050fabe7af10c77f190c73f06c17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03885",
    "kind": "arxiv",
    "version": 1
  }
}