Pith. sign in
Pith Number

pith:SRKSHTKC

pith:2025:SRKSHTKC3SX25MGDYQIARWURZM
not attested not anchored not stored refs pending

Quasar cosmology II: joint analyses with Cosmic Microwave Background

E. Lusso, G. Bargiacchi, G. Risaliti, M. Benetti, M. Signorini, S. Capozziello

arxiv:2506.21477 v1 · 2025-06-26 · astro-ph.CO · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SRKSHTKC3SX25MGDYQIARWURZM}

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 2026-07-05T11:27:46.591895Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

945523cd42dcafaeb0c3c41008da91cb13ebd1329734442c871d675ef330608e

Aliases

arxiv: 2506.21477 · arxiv_version: 2506.21477v1 · doi: 10.48550/arxiv.2506.21477 · pith_short_12: SRKSHTKC3SX2 · pith_short_16: SRKSHTKC3SX25MGD · pith_short_8: SRKSHTKC
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SRKSHTKC3SX25MGDYQIARWURZM \
  | 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: 945523cd42dcafaeb0c3c41008da91cb13ebd1329734442c871d675ef330608e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3d78ccc11330390f9d5a121481ac497d2b64eb04771605ff24a2a01232123c42",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-06-26T17:07:20Z",
    "title_canon_sha256": "fcd07bed1cf8f81b87ad324c8e26d721ed2b1c5265320f074c31e3c594938018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.21477",
    "kind": "arxiv",
    "version": 1
  }
}