pith. sign in
Pith Number

pith:ILTAKNRR

pith:2013:ILTAKNRR3ZJ2TAEYJDF25CWTQS
not attested not anchored not stored refs pending

Warm dark matter primordial spectra and the onset of structure formation at redshift z

C. Destri, H. J. de Vega, N. G. Sanchez

arxiv:1308.1109 v2 · 2013-08-05 · astro-ph.CO · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ILTAKNRR3ZJ2TAEYJDF25CWTQS}

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 2026-05-18T01:48:23.497453Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

42e6053631de53a9809848cbae8ad38497b09e3d85a5aadf600a5163c9fd7836

Aliases

arxiv: 1308.1109 · arxiv_version: 1308.1109v2 · doi: 10.48550/arxiv.1308.1109 · pith_short_12: ILTAKNRR3ZJ2 · pith_short_16: ILTAKNRR3ZJ2TAEY · pith_short_8: ILTAKNRR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ILTAKNRR3ZJ2TAEYJDF25CWTQS \
  | 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: 42e6053631de53a9809848cbae8ad38497b09e3d85a5aadf600a5163c9fd7836
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "acd328ac08f5a3353c402d3b3abedeefcb0a39b6cf6207898bff7a7727bb4a5c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-08-05T20:07:13Z",
    "title_canon_sha256": "991ed49c4655c9e95ae78d9b3b0fd40c8224e85b382906e1f8daa82119926126"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1109",
    "kind": "arxiv",
    "version": 2
  }
}