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Pith Number

pith:VLZ3ELZE

pith:2012:VLZ3ELZEHBER6WQZR5H6RNMYWL
not attested not anchored not stored refs pending

The Mass-Richness Relation of MaxBCG Clusters from Quasar Lensing Magnification using Variability

Anne H. Bauer, Charles Baltay, David Rabinowitz, Jonathan Jerke, Nancy Ellman, Richard Scalzo

arxiv:1202.1371 v1 · 2012-02-07 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VLZ3ELZEHBER6WQZR5H6RNMYWL}

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 2026-05-18T01:58:33.073010Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

aaf3b22f2438491f5a198f4fe8b598b2dafe7028f529af540d021778c73cdbf2

Aliases

arxiv: 1202.1371 · arxiv_version: 1202.1371v1 · doi: 10.48550/arxiv.1202.1371 · pith_short_12: VLZ3ELZEHBER · pith_short_16: VLZ3ELZEHBER6WQZ · pith_short_8: VLZ3ELZE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VLZ3ELZEHBER6WQZR5H6RNMYWL \
  | 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: aaf3b22f2438491f5a198f4fe8b598b2dafe7028f529af540d021778c73cdbf2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cc8166b65bd8b44dbf8281a57f10e000709515360b7258597501c0857496f768",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-02-07T08:43:59Z",
    "title_canon_sha256": "cb083536859ec5a9b7df5e8286c964d1ff1a90fd818d9ca5fdb37d9a5899f045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1371",
    "kind": "arxiv",
    "version": 1
  }
}