Pith Number

pith:Z2SDTZ7D

pith:2012:Z2SDTZ7DYKJEBYFDVNYT6ZW4WH

not attested not anchored not stored refs pending

Constraints on Cosmological Parameters from Strong Gravitational Lensing by Galaxy Clusters

Britta Zieser, Matthias Bartelmann

arxiv:1204.0372 v1 · 2012-04-02 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z2SDTZ7DYKJEBYFDVNYT6ZW4WH}

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	2026-05-18T03:58:49.473738Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cea439e7e3c29240e0a3ab713f66dcb1f16729282a31a284655a2dd51e4389ff

Aliases

arxiv: 1204.0372 · arxiv_version: 1204.0372v1 · doi: 10.48550/arxiv.1204.0372 · pith_short_12: Z2SDTZ7DYKJE · pith_short_16: Z2SDTZ7DYKJEBYFD · pith_short_8: Z2SDTZ7D

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/Z2SDTZ7DYKJEBYFDVNYT6ZW4WH \
  | 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: cea439e7e3c29240e0a3ab713f66dcb1f16729282a31a284655a2dd51e4389ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5b9b7618e2b439f64b7fd6738699681b2e48db3c7cfd681e360aad6dba4c12d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-04-02T11:33:39Z",
    "title_canon_sha256": "09f8ac36af7c5fb05108ebd8b4305eb83cd7506ca7d3400df66616294481ec72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0372",
    "kind": "arxiv",
    "version": 1
  }
}