Pith Number

pith:5HE7PWFU

pith:2026:5HE7PWFUCP7MMPZQXMWZW2QIYP

not attested not anchored not stored refs pending

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

Benyang Zhu, Minghui Du, Peng Xu, Qing Diao, Wen-Fan Feng, Xilong Fan, Yong Yuan

arxiv:2605.28658 v1 · 2026-05-27 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HE7PWFUCP7MMPZQXMWZW2QIYP}

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	2026-05-28T02:04:59.101570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9c9f7d8b413fec63f30bb2d9b6a08c3ed10b5081013cb8161d2c7f5fca25e70

Aliases

arxiv: 2605.28658 · arxiv_version: 2605.28658v1 · doi: 10.48550/arxiv.2605.28658 · pith_short_12: 5HE7PWFUCP7M · pith_short_16: 5HE7PWFUCP7MMPZQ · pith_short_8: 5HE7PWFU

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/5HE7PWFUCP7MMPZQXMWZW2QIYP \
  | 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: e9c9f7d8b413fec63f30bb2d9b6a08c3ed10b5081013cb8161d2c7f5fca25e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7119898539547e52355654534e42cbcfe8694414a9fd88a2bffd9ea07e6843ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-27T15:57:34Z",
    "title_canon_sha256": "671bccee41fc7f6d768ef355bb9ad0937fb1d94a4fdbfee8521264b8ca7f84b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28658",
    "kind": "arxiv",
    "version": 1
  }
}