pith. sign in
Pith Number

pith:KHZ7MSLZ

pith:2014:KHZ7MSLZZ4FCWPEIIRFZBAIPAF
not attested not anchored not stored refs pending

Tilt of primordial gravitational wave spectrum in a universe with sterile neutrinos

Jing-Fei Zhang, Xin Zhang, Yun-He Li

arxiv:1405.0570 v2 · 2014-05-03 · astro-ph.CO · gr-qc · hep-ph · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KHZ7MSLZZ4FCWPEIIRFZBAIPAF}

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 2026-05-18T02:48:54.541914Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

51f3f64979cf0a2b3c88444b90810f01548c33821c4a4a3c19c9995cb9b8d97c

Aliases

arxiv: 1405.0570 · arxiv_version: 1405.0570v2 · doi: 10.48550/arxiv.1405.0570 · pith_short_12: KHZ7MSLZZ4FC · pith_short_16: KHZ7MSLZZ4FCWPEI · pith_short_8: KHZ7MSLZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KHZ7MSLZZ4FCWPEIIRFZBAIPAF \
  | 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: 51f3f64979cf0a2b3c88444b90810f01548c33821c4a4a3c19c9995cb9b8d97c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "35eb0535164f9920816da7012f6e033576afbc191467da051d5d8905ebaee87c",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-05-03T11:32:24Z",
    "title_canon_sha256": "814b05476640af90b8cb74873964b70a17ee04e6f058848db54d1d594c68a9c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0570",
    "kind": "arxiv",
    "version": 2
  }
}