Pith Number

pith:Z3NUHB4X

pith:2003:Z3NUHB4XBGYETVEIS2TMBKDRBY

not attested not anchored not stored refs pending

Spectroscopic Gravitational Lensing and Limits on the Dark Matter Substructure in Q2237+0305

A.J. Bunker, I.R. Parry, L.A. Moustakas, R.B. Metcalf

arxiv:astro-ph/0309738 v1 · 2003-09-26 · 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{Z3NUHB4XBGYETVEIS2TMBKDRBY}

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	2026-07-04T16:51:46.145289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cedb43879709b049d48896a6c0a8710e2953ee789c1008e621570505d1f3e123

Aliases

arxiv: astro-ph/0309738 · arxiv_version: astro-ph/0309738v1 · doi: 10.48550/arxiv.astro-ph/0309738 · pith_short_12: Z3NUHB4XBGYE · pith_short_16: Z3NUHB4XBGYETVEI · pith_short_8: Z3NUHB4X

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/Z3NUHB4XBGYETVEIS2TMBKDRBY \
  | 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: cedb43879709b049d48896a6c0a8710e2953ee789c1008e621570505d1f3e123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006c8a9e12a77566e6daf7f91a96846d0fdf61839cafa2be6618d7b6bf16df08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2003-09-26T20:26:38Z",
    "title_canon_sha256": "ab3e61f7fe7b54772a4942e5d27858e0a8dfb2f025e3309e4227a1f085e86ce7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0309738",
    "kind": "arxiv",
    "version": 1
  }
}