Pith Number

pith:NAGZ2DXR

pith:1999:NAGZ2DXRUPCFG5KO7HGIJ3DPMA

not attested not anchored not stored refs pending

The CASTLES gravitational lensing tool

B. A. McLeod, C. D. Impey, C. Keeton, C. S. Kochanek, C. Y. Peng (UofA), E. E. Falco, H.-W. Rix (MPI Heidelberg), J. A. Munoz (CfA), J. Lehar

arxiv:astro-ph/9910025 v1 · 1999-10-01 · 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{NAGZ2DXRUPCFG5KO7HGIJ3DPMA}

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

The Roman View of Strong Gravitational Lenses

Receipt and verification

First computed	2026-07-04T14:17:10.627249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

680d9d0ef1a3c453754ef9cc84ec6f601d5dce7c84e89c2762f1e31a96045959

Aliases

arxiv: astro-ph/9910025 · arxiv_version: astro-ph/9910025v1 · doi: 10.48550/arxiv.astro-ph/9910025 · pith_short_12: NAGZ2DXRUPCF · pith_short_16: NAGZ2DXRUPCFG5KO · pith_short_8: NAGZ2DXR

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/NAGZ2DXRUPCFG5KO7HGIJ3DPMA \
  | 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: 680d9d0ef1a3c453754ef9cc84ec6f601d5dce7c84e89c2762f1e31a96045959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241103740dbe0abfa3e6d9bd2cc96ba9694190cba41b5da84e3a365fe21caabf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-10-01T22:17:36Z",
    "title_canon_sha256": "86e7e3ebc62a4c875242bfb209a86c0b1ba7a3b580dea788a81de4ad2a8b075f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9910025",
    "kind": "arxiv",
    "version": 1
  }
}