Pith Number

pith:2KKDJRQN

pith:2001:2KKDJRQN2VQXHPML35ESPYESNF

not attested not anchored not stored refs pending

A precision calculation of the effective number of cosmological neutrinos

G. Mangano, G. Miele, M. Peloso, S. Pastor

arxiv:astro-ph/0111408 v2 · 2001-11-21 · astro-ph · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KKDJRQN2VQXHPML35ESPYESNF}

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

1 paper in Pith

Probing Dark Sector Particles Coupling to Neutrinos with Double Beta Decay

Receipt and verification

First computed	2026-05-18T01:07:45.278108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d29434c60dd56173bd8bdf4927e09269582f99a93cbf28156d3f14c01c1266b1

Aliases

arxiv: astro-ph/0111408 · arxiv_version: astro-ph/0111408v2 · doi: 10.48550/arxiv.astro-ph/0111408 · pith_short_12: 2KKDJRQN2VQX · pith_short_16: 2KKDJRQN2VQXHPML · pith_short_8: 2KKDJRQN

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/2KKDJRQN2VQXHPML35ESPYESNF \
  | 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: d29434c60dd56173bd8bdf4927e09269582f99a93cbf28156d3f14c01c1266b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144f48481a2f2a21fe0f915f789904dbc31cfe8d5194fcdb9429f47614a4ca10",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2001-11-21T11:10:07Z",
    "title_canon_sha256": "ba6ec5ceb1ce59b8877409ffed841650580ce482c59d6a1051e1cc68bb8cfde5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0111408",
    "kind": "arxiv",
    "version": 2
  }
}