Pith. sign in
Pith Number

pith:ZVG5ZUT6

pith:2020:ZVG5ZUT6SRZYPXB7V7EUWOU2QO
not attested not anchored not stored refs pending

Dirac neutrinos and $N_{{\rm eff}}$ II: the freeze-in case

Werner Rodejohann, Xuheng Luo, Xun-Jie Xu

arxiv:2011.13059 v2 · 2020-11-25 · hep-ph · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZVG5ZUT6SRZYPXB7V7EUWOU2QO}

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

4 papers in Pith

Receipt and verification
First computed 2026-07-05T02:27:32.266012Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cd4ddcd27e947387dc3fafc94b3a9a83abac340b5c2f0f17fe48314f48999ab8

Aliases

arxiv: 2011.13059 · arxiv_version: 2011.13059v2 · doi: 10.48550/arxiv.2011.13059 · pith_short_12: ZVG5ZUT6SRZY · pith_short_16: ZVG5ZUT6SRZYPXB7 · pith_short_8: ZVG5ZUT6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZVG5ZUT6SRZYPXB7V7EUWOU2QO \
  | 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: cd4ddcd27e947387dc3fafc94b3a9a83abac340b5c2f0f17fe48314f48999ab8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0898e75dd81ecbfa1c458cf57dff7e55ec4fa2a53a5414962ab7115a520e9cd2",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-11-25T23:12:42Z",
    "title_canon_sha256": "3127508b42e475669149ac56bc698ec23c3f2e86aea01bf6722b029836772f96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.13059",
    "kind": "arxiv",
    "version": 2
  }
}