Pith Number

pith:67B3LIUL

pith:2002:67B3LIULPOIZYISUJLQO3DWOMX

not attested not anchored not stored refs pending

Quasar Lensing

Belgium), F. Courbin (Liege, P.L. Schechter (MIT, P. Saha (Queen Mary, UK), USA), Westfield College

arxiv:astro-ph/0208043 v1 · 2002-08-01 · 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{67B3LIULPOIZYISUJLQO3DWOMX}

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

Speeding up Gravitational Lens Mass Models with Machine Learning: Applications in X-ray Astronomy

Receipt and verification

First computed	2026-07-04T14:12:08.648818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7c3b5a28b7b919c22544ae0ed8ece65d6fab1ecb9a8cd859c6244a028e60911

Aliases

arxiv: astro-ph/0208043 · arxiv_version: astro-ph/0208043v1 · doi: 10.48550/arxiv.astro-ph/0208043 · pith_short_12: 67B3LIULPOIZ · pith_short_16: 67B3LIULPOIZYISU · pith_short_8: 67B3LIUL

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/67B3LIULPOIZYISUJLQO3DWOMX \
  | 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: f7c3b5a28b7b919c22544ae0ed8ece65d6fab1ecb9a8cd859c6244a028e60911

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7aa73cdcf119fa8d097ad7422dc33d0533589e8a0ae6202ad15d3844cc5f9d77",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-08-01T21:18:42Z",
    "title_canon_sha256": "96358821b91a1ae70cc100bc199c10099585c53e7aef1012ba6911acadeaf72a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0208043",
    "kind": "arxiv",
    "version": 1
  }
}