Pith Number

pith:2MF5FTAD

pith:2002:2MF5FTADTWCAG2KLUOJJCFWVNH

not attested not anchored not stored refs pending

Constraints on Cosmological Parameters from the Analysis of the Cosmic Lens All Sky Survey Radio-Selected Gravitational Lens Statistics

A.C.S. Readhead, A.D. Biggs, A.G. de Bruyn, C.D. Fassnacht, C.M. Sykes, D.R. Marlow, D. Rusin, E. Xanthopoulos, I.W.A. Browne, J.P. McKean, K.-H. Chae, L.J. King, L.V.E. Koopmans, M. Norbury, N.J. Jackson, P. Helbig, P.M. Phillips, P.N. Wilkinson, R.D. Blandford, S. Mao, S.T. Myers, T.J. Pearson, T. York (The CLASS collaboration)

arxiv:astro-ph/0209602 v1 · 2002-09-28 · 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{2MF5FTADTWCAG2KLUOJJCFWVNH}

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	2026-07-04T16:30:52.267205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d30bd2cc039d8403694ba3929116d569c56db866e9fad5ea0e67866c36fd52f8

Aliases

arxiv: astro-ph/0209602 · arxiv_version: astro-ph/0209602v1 · doi: 10.48550/arxiv.astro-ph/0209602 · pith_short_12: 2MF5FTADTWCA · pith_short_16: 2MF5FTADTWCAG2KL · pith_short_8: 2MF5FTAD

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/2MF5FTADTWCAG2KLUOJJCFWVNH \
  | 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: d30bd2cc039d8403694ba3929116d569c56db866e9fad5ea0e67866c36fd52f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f28fcf9d08d77ba49471f28144b261f30779d9af555f101cb9207cd8e109902a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-09-28T17:01:11Z",
    "title_canon_sha256": "f303951b31d8aaa6c154e3d2fd399a680ff7ee6bac81ece8a4e5552b90484c52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0209602",
    "kind": "arxiv",
    "version": 1
  }
}