Pith. sign in
Pith Number

pith:3HCSCTZO

pith:1999:3HCSCTZOV4OH3VTR3KSKWQ337B
not attested not anchored not stored refs pending

Redshifts of the Gravitational Lenses MG1131+0456 and B1938+666

Christopher S. Kochanek (CFA), John L. Tonry (Institute for Astronomy)

arxiv:astro-ph/9910480 v2 · 1999-10-26 · astro-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3HCSCTZOV4OH3VTR3KSKWQ337B}

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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 2026-05-18T01:07:35.878188Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d9c5214f2eaf1c7dd671daa4ab437bf869b4b4a14e4a2186ea77b2674bdbb0ea

Aliases

arxiv: astro-ph/9910480 · arxiv_version: astro-ph/9910480v2 · doi: 10.48550/arxiv.astro-ph/9910480 · pith_short_12: 3HCSCTZOV4OH · pith_short_16: 3HCSCTZOV4OH3VTR · pith_short_8: 3HCSCTZO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3HCSCTZOV4OH3VTR3KSKWQ337B \
  | 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: d9c5214f2eaf1c7dd671daa4ab437bf869b4b4a14e4a2186ea77b2674bdbb0ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1f536e8463559af283383bc81f255e258528a68164e81d5470b3976941324e66",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-10-26T23:01:13Z",
    "title_canon_sha256": "2ee45374db41fb877134e7a46604ed5daa6ccaf9ebcdd731d64bbc2a8a85e9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9910480",
    "kind": "arxiv",
    "version": 2
  }
}