Pith Number

pith:5WK7NLPJ

pith:2026:5WK7NLPJQR6B2KR3RSXB24MA3O

not attested not anchored not stored refs pending

Extragalactic test of General Relativity with time-delay gravitational lenses

Marek Biesiada, Qiumin Wang, Shuo Cao, Tonghua Liu, Wuzheng Guo, Yujie Lian, Yun Chen

arxiv:2606.24278 v1 · 2026-06-23 · 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{5WK7NLPJQR6B2KR3RSXB24MA3O}

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	2026-06-24T01:14:48.819881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed95f6ade9847c1d2a3b8cae1d7180db9a453163c8228ddab6ebb4d6082ff77b

Aliases

arxiv: 2606.24278 · arxiv_version: 2606.24278v1 · doi: 10.48550/arxiv.2606.24278 · pith_short_12: 5WK7NLPJQR6B · pith_short_16: 5WK7NLPJQR6B2KR3 · pith_short_8: 5WK7NLPJ

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/5WK7NLPJQR6B2KR3RSXB24MA3O \
  | 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: ed95f6ade9847c1d2a3b8cae1d7180db9a453163c8228ddab6ebb4d6082ff77b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed3f6b1275ded4c34589d13bdf24b3cd5cce6373b291c1a6217ddc9ed001857",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-23T08:00:54Z",
    "title_canon_sha256": "3474fe64d2bbfb54c472d33012302bdeabe499fd9e7f4b9edebf8a31698aa58f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.24278",
    "kind": "arxiv",
    "version": 1
  }
}