Pith Number

pith:WJPTCKPE

pith:2025:WJPTCKPE6GZVDLY36LNCKSCPOL

not attested not anchored not stored refs pending

Considering lensing effect on gravitational wave signals from black holes in mass gap

Qiyuan Yang, Xilong Fan, Zhi-Qiang You

arxiv:2512.20890 v2 · 2025-12-24 · astro-ph.HE · 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{WJPTCKPE6GZVDLY36LNCKSCPOL}

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

How do the LIGO-Virgo-KAGRA's Heavy Black Holes Form? No evidence for core-collapse Intermediate-mass black holes in GWTC-4

Receipt and verification

First computed	2026-05-29T01:05:00.263204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b25f3129e4f1b351af1bf2da25484f72dac0194446618e546bba9aa47ccf89bd

Aliases

arxiv: 2512.20890 · arxiv_version: 2512.20890v2 · doi: 10.48550/arxiv.2512.20890 · pith_short_12: WJPTCKPE6GZV · pith_short_16: WJPTCKPE6GZVDLY3 · pith_short_8: WJPTCKPE

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/WJPTCKPE6GZVDLY36LNCKSCPOL \
  | 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: b25f3129e4f1b351af1bf2da25484f72dac0194446618e546bba9aa47ccf89bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "482b493ca45878f48b788b56e3faf75e2d4d8f0425fb09b039d1f08555aad136",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2025-12-24T02:27:04Z",
    "title_canon_sha256": "2228738005fa817262bd4e7486cc88cf4a5021c2c8d86e5fc812c9f3183a8073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.20890",
    "kind": "arxiv",
    "version": 2
  }
}