Pith Number

pith:WVBZY3VO

pith:2026:WVBZY3VOO6BDHGRHZB52IPFZXT

not attested not anchored not stored refs pending

Testing General Relativity on Galactic Scales via DESI-BAO and Strong Lensing: Circumventing Assumptions on the Hubble Constant, Sound Horizon, and Dark Energy

ChengGang Shao, Hengyu Wu, Tonghua Liu

arxiv:2603.21127 v1 · 2026-03-22 · 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{WVBZY3VOO6BDHGRHZB52IPFZXT}

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	2026-06-30T02:18:07.741904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5439c6eae7782339a27c87ba43cb9bcfc654b3e431e418e087b49b2591bee2d

Aliases

arxiv: 2603.21127 · arxiv_version: 2603.21127v1 · doi: 10.48550/arxiv.2603.21127 · pith_short_12: WVBZY3VOO6BD · pith_short_16: WVBZY3VOO6BDHGRH · pith_short_8: WVBZY3VO

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/WVBZY3VOO6BDHGRHZB52IPFZXT \
  | 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: b5439c6eae7782339a27c87ba43cb9bcfc654b3e431e418e087b49b2591bee2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66a2bcc64b9df6d195fc91813745a292c5fe61b0e60715aa2ae36b6d99f31b6b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-03-22T08:51:18Z",
    "title_canon_sha256": "38b08528db581bd239c931bcd65e4fc4e335aafd38c49087c8bbaa5a77aeb7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.21127",
    "kind": "arxiv",
    "version": 1
  }
}