pith. sign in
Pith Number

pith:5BO3V7JJ

pith:2012:5BO3V7JJJOV7OTXXJZFUS4VMYM
not attested not anchored not stored refs pending

Non-linear evolution of the cosmic neutrino background

Carlos Pe\~na-Garay, Francisco Villaescusa-Navarro, Matteo Viel, Simeon Bird

arxiv:1212.4855 v2 · 2012-12-19 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5BO3V7JJJOV7OTXXJZFUS4VMYM}

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 2026-05-18T01:25:08.977010Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e85dbafd294babf74ef74e4b4972acc3172a13119466b4aea972894943b1fde4

Aliases

arxiv: 1212.4855 · arxiv_version: 1212.4855v2 · doi: 10.48550/arxiv.1212.4855 · pith_short_12: 5BO3V7JJJOV7 · pith_short_16: 5BO3V7JJJOV7OTXX · pith_short_8: 5BO3V7JJ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5BO3V7JJJOV7OTXXJZFUS4VMYM \
  | 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: e85dbafd294babf74ef74e4b4972acc3172a13119466b4aea972894943b1fde4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "43994e38666f1e04a44d426919478e5e9cbf8ad23c442fb01a29bee7e37d69aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-12-19T21:13:25Z",
    "title_canon_sha256": "851852e3f1b82229ef663412c1a172ab7e8d1bd22c75d07eb9d2110b18fb79de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4855",
    "kind": "arxiv",
    "version": 2
  }
}