Pith Number

pith:KXPCSZRN

pith:2026:KXPCSZRNZ43ANKZFTNK4MOSRKI

not attested not anchored not stored refs pending

Forecasting Constraints on Cosmology and Modified Gravitational-wave Propagation by Combining Strongly Lensed Gravitational Waves and Galaxy Surveys

Anson Chen, Jun Zhang

arxiv:2601.21820 v3 · 2026-01-29 · 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{KXPCSZRNZ43ANKZFTNK4MOSRKI}

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

Prospect of Measuring the Cosmic Dipole by Strongly Lensed Gravitational Waves Associated with Galaxy Surveys

Receipt and verification

First computed	2026-05-29T01:05:02.667553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55de29662dcf3606ab259b55c63a515234919e8cbb8b1ef7e4ec5c292dbd845d

Aliases

arxiv: 2601.21820 · arxiv_version: 2601.21820v3 · doi: 10.48550/arxiv.2601.21820 · pith_short_12: KXPCSZRNZ43A · pith_short_16: KXPCSZRNZ43ANKZF · pith_short_8: KXPCSZRN

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/KXPCSZRNZ43ANKZFTNK4MOSRKI \
  | 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: 55de29662dcf3606ab259b55c63a515234919e8cbb8b1ef7e4ec5c292dbd845d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31b61fe2ed9b66d7e658cf51539df3b1c8b08fd655f4184c7760a92b84f0bfa4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-01-29T15:04:37Z",
    "title_canon_sha256": "b0b6bf415327918746c164706cba32ed402223dfd1cfc6a9578e37372ab12dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.21820",
    "kind": "arxiv",
    "version": 3
  }
}