Pith Number

pith:GCNQO3GX

pith:1993:GCNQO3GXKUNZX7NADYJ64PRTMF

not attested not anchored not stored refs pending

Galaxy-cluster associations from gravitational lensing

Francois Hammer, Xiang-Ping Wu

arxiv:astro-ph/9312060 v1 · 1993-12-24 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCNQO3GXKUNZX7NADYJ64PRTMF}

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	2026-05-18T04:21:41.265227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

309b076cd7551b9bfda01e13ee3e33617858c0c73740789a065139a3de5fbe95

Aliases

arxiv: astro-ph/9312060 · arxiv_version: astro-ph/9312060v1 · doi: 10.48550/arxiv.astro-ph/9312060 · pith_short_12: GCNQO3GXKUNZ · pith_short_16: GCNQO3GXKUNZX7NA · pith_short_8: GCNQO3GX

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/GCNQO3GXKUNZX7NADYJ64PRTMF \
  | 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: 309b076cd7551b9bfda01e13ee3e33617858c0c73740789a065139a3de5fbe95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66aed761738612412049e9025a2bd98dc6adf88cef080cb9433e0c985d08243",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-12-24T18:03:10Z",
    "title_canon_sha256": "b26d7805d8a26262586a0fd91925fc9211ceb4a0dc93762571f0af90037d79dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9312060",
    "kind": "arxiv",
    "version": 1
  }
}