Pith Number

pith:J4PSVCHQ

pith:2011:J4PSVCHQJYVFF6A3AJHGW5GOJQ

not attested not anchored not stored refs pending

Testing the interaction of dark energy to dark matter through the analysis of virial relaxation of clusters Abell Clusters A586 and A1689 using realistic density profiles

Francisco Gil Pedro, Morgan Le Delliou (IFT), Orfeu Bertolami

arxiv:1105.3033 v2 · 2011-05-16 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4PSVCHQJYVFF6A3AJHGW5GOJQ}

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	2026-05-18T04:04:15.298549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1f2a88f04e2a52f81b024e6b74ce4c271d27fd6498fb9c00ac36ee8f83c493

Aliases

arxiv: 1105.3033 · arxiv_version: 1105.3033v2 · doi: 10.48550/arxiv.1105.3033 · pith_short_12: J4PSVCHQJYVF · pith_short_16: J4PSVCHQJYVFF6A3 · pith_short_8: J4PSVCHQ

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/J4PSVCHQJYVFF6A3AJHGW5GOJQ \
  | 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: 4f1f2a88f04e2a52f81b024e6b74ce4c271d27fd6498fb9c00ac36ee8f83c493

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c879a921c16a1222e1f924e9d2ce66b0efc795df65cef4aa7759a18cbdbd23b6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-05-16T08:50:27Z",
    "title_canon_sha256": "1c5101672f0b9352fde39bd4df73c2d6446df65c7b190f8fde307d8ecc43dd2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3033",
    "kind": "arxiv",
    "version": 2
  }
}