Pith Number

pith:FK5LRVH3

pith:1998:FK5LRVH3CS42KABCWFT3E23KQP

not attested not anchored not stored refs pending

The Time Delay in the Gravitational Lens PKS 1830-211

A. K. Tzioumis, D. L. Jauncey, E. A. King, J. E. J. Lovell, J. E. Reynolds, M. H. Wieringa, P. G. Edwards, P. M. McCulloch

arxiv:astro-ph/9809301 v1 · 1998-09-24 · 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{FK5LRVH3CS42KABCWFT3E23KQP}

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	2026-07-04T16:07:02.942277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2abab8d4fb14b9a50022b167b26b6a83c0bdd4346ed21db1f0c0a5bd94c81067

Aliases

arxiv: astro-ph/9809301 · arxiv_version: astro-ph/9809301v1 · doi: 10.48550/arxiv.astro-ph/9809301 · pith_short_12: FK5LRVH3CS42 · pith_short_16: FK5LRVH3CS42KABC · pith_short_8: FK5LRVH3

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/FK5LRVH3CS42KABCWFT3E23KQP \
  | 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: 2abab8d4fb14b9a50022b167b26b6a83c0bdd4346ed21db1f0c0a5bd94c81067

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9c515588bacc0e304e6277f1cf2fd266fa8a27f0bd9f264e528d637dd61b3d3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1998-09-24T00:42:11Z",
    "title_canon_sha256": "5b4ac0a033b621df4ee89480df4c7af35286a1f9e00e1bc4afe903eeb0fcbe1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9809301",
    "kind": "arxiv",
    "version": 1
  }
}