Pith. sign in
Pith Number

pith:4L7S7GWU

pith:2020:4L7S7GWUI3WHKFXBU6XXG6QXIG
not attested not anchored not stored refs pending

The full Boltzmann hierarchy for dark matter-massive neutrino interactions

Celine Boehm, Julia Stadler, Markus R. Mosbech, Olga Mena, Steen Hannestad, Yvonne Y. Y. Wong

arxiv:2011.04206 v1 · 2020-11-09 · astro-ph.CO · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4L7S7GWUI3WHKFXBU6XXG6QXIG}

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

Receipt and verification
First computed 2026-07-05T02:27:30.043270Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e2ff2f9ad446ec7516e1a7af737a1741b994c496bb0d43d1233dbd7b1b2e843b

Aliases

arxiv: 2011.04206 · arxiv_version: 2011.04206v1 · doi: 10.48550/arxiv.2011.04206 · pith_short_12: 4L7S7GWUI3WH · pith_short_16: 4L7S7GWUI3WHKFXB · pith_short_8: 4L7S7GWU
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4L7S7GWUI3WHKFXBU6XXG6QXIG \
  | 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: e2ff2f9ad446ec7516e1a7af737a1741b994c496bb0d43d1233dbd7b1b2e843b
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d2d2e1d1bff0b5bef1293964739365d86a37c4de8ba104b1a43cf8448b163412",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2020-11-09T05:57:48Z",
    "title_canon_sha256": "a0e065a48f05448cb947f503241867a700d5e1696e69b8a4b426067362487c01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04206",
    "kind": "arxiv",
    "version": 1
  }
}