Pith Number

pith:2X5D5TRH

pith:2008:2X5D5TRHWGGWCY32Z3PJFNAGV6

not attested not anchored not stored refs pending

The nuMSM, leptonic asymmetries, and properties of singlet fermions

Mikhail Shaposhnikov

arxiv:0804.4542 v2 · 2008-04-29 · hep-ph · astro-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{2X5D5TRHWGGWCY32Z3PJFNAGV6}

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

Freeze-in leptogenesis with sterile neutrino self-interactions

Receipt and verification

First computed	2026-07-04T15:30:05.119579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5fa3ece27b18d61637acede92b406afac2c55d5e1ce9f108e8d65a2a79c087f

Aliases

arxiv: 0804.4542 · arxiv_version: 0804.4542v2 · doi: 10.48550/arxiv.0804.4542 · pith_short_12: 2X5D5TRHWGGW · pith_short_16: 2X5D5TRHWGGWCY32 · pith_short_8: 2X5D5TRH

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/2X5D5TRHWGGWCY32Z3PJFNAGV6 \
  | 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: d5fa3ece27b18d61637acede92b406afac2c55d5e1ce9f108e8d65a2a79c087f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30d5f34bdcccc6c3e3614e325e7d0bef432666c61e9226f88d1d2a68efbd725f",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2008-04-29T08:20:23Z",
    "title_canon_sha256": "a374a95c6e02c79e1e21fe327467bd40afdb6dc2945c8401050f21b01f857974"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4542",
    "kind": "arxiv",
    "version": 2
  }
}