Pith Number

pith:KVP5PQKD

pith:2021:KVP5PQKDNG3ZHGXEGZVUHVCV3V

not attested not anchored not stored refs pending

Galaxy cluster strong lensing cosmography: cosmological constraints from a sample of regular galaxy clusters

C. Grillo, G. B. Caminha, P. Rosati, S. H. Suyu

arxiv:2110.06232 v1 · 2021-10-12 · 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{KVP5PQKDNG3ZHGXEGZVUHVCV3V}

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

Strong Lensing Tomography: Double and pseudo multi-source plane strong gravitational lensing to constrain dark energy

Receipt and verification

First computed	2026-07-05T03:49:21.300471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

555fd7c14369b7939ae4366b43d455dd77319d1de40d28da7d974134f24b1c8e

Aliases

arxiv: 2110.06232 · arxiv_version: 2110.06232v1 · doi: 10.48550/arxiv.2110.06232 · pith_short_12: KVP5PQKDNG3Z · pith_short_16: KVP5PQKDNG3ZHGXE · pith_short_8: KVP5PQKD

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/KVP5PQKDNG3ZHGXEGZVUHVCV3V \
  | 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: 555fd7c14369b7939ae4366b43d455dd77319d1de40d28da7d974134f24b1c8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe4e6d7cf4fa9fd98fcfce43d6cb90d18395b4aa59ac1e42943e030f79963b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2021-10-12T18:00:03Z",
    "title_canon_sha256": "2b335ed82c4bc1423a538fd97701afb1b428c99c5281a241645a5fac72b0c55f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.06232",
    "kind": "arxiv",
    "version": 1
  }
}