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Pith Number

pith:Z47VKN7X

pith:2017:Z47VKN7XFX7PHEVKETR2C7N3XF
not attested not anchored not stored refs pending

A Fourth Exception in the Calculation of Relic Abundances

Duccio Pappadopulo, Joshua T. Ruderman, Raffaele Tito D'Agnolo

arxiv:1705.08450 v3 · 2017-05-23 · hep-ph · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Z47VKN7XFX7PHEVKETR2C7N3XF}

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 2026-05-18T00:27:52.534666Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cf3f5537f72dfef392aa24e3a17dbbb953dedb30724740c5b1aef5792943fc15

Aliases

arxiv: 1705.08450 · arxiv_version: 1705.08450v3 · doi: 10.48550/arxiv.1705.08450 · pith_short_12: Z47VKN7XFX7P · pith_short_16: Z47VKN7XFX7PHEVK · pith_short_8: Z47VKN7X
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z47VKN7XFX7PHEVKETR2C7N3XF \
  | 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: cf3f5537f72dfef392aa24e3a17dbbb953dedb30724740c5b1aef5792943fc15
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "eb2c507d5e272176fcaf21865a92d2a4835d6a288b8c85a51e7bf3c25d61d77a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-05-23T18:00:00Z",
    "title_canon_sha256": "eb8abc09cc2234dd9516c48bc719700eb016057e95c1a0de122c33e1d516eb85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08450",
    "kind": "arxiv",
    "version": 3
  }
}