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Pith Number

pith:UG4KSNBW

pith:2011:UG4KSNBW6GSMJKIOAFHFDYBEFL
not attested not anchored not stored refs pending

The Cosmic Linear Anisotropy Solving System (CLASS) IV: Efficient implementation of non-cold relics

Julien Lesgourgues, Thomas Tram

arxiv:1104.2935 v3 · 2011-04-14 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{UG4KSNBW6GSMJKIOAFHFDYBEFL}

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

10 papers in Pith

Receipt and verification
First computed 2026-05-18T01:30:26.258707Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a1b8a93436f1a4c4a90e014e51e0242add3b824841d8a3d0a917bb7bed239dfd

Aliases

arxiv: 1104.2935 · arxiv_version: 1104.2935v3 · doi: 10.48550/arxiv.1104.2935 · pith_short_12: UG4KSNBW6GSM · pith_short_16: UG4KSNBW6GSMJKIO · pith_short_8: UG4KSNBW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/UG4KSNBW6GSMJKIOAFHFDYBEFL \
  | 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: a1b8a93436f1a4c4a90e014e51e0242add3b824841d8a3d0a917bb7bed239dfd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ce690d5adf3a1839b96aa3402e12ea25e0596dfcd5ad237c5593fd63c8bca271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-04-14T22:10:03Z",
    "title_canon_sha256": "1f73c2eaf66917d07bf717ad4e77806bde1165579ead3fdcad40212f84fad1b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2935",
    "kind": "arxiv",
    "version": 3
  }
}