pith. sign in
Pith Number

pith:KUOEL2EO

pith:2015:KUOEL2EO2KPFVKQA6NJHD5CILK
not attested not anchored not stored refs pending

Testing distance duality with CMB anisotropies

Jussi Valiviita, Syksy Rasanen, Ville Kosonen

arxiv:1512.05346 v2 · 2015-12-16 · astro-ph.CO · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KUOEL2EO2KPFVKQA6NJHD5CILK}

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 2026-05-18T01:16:09.391732Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

551c45e88ed29e5aaa00f35271f4485aa238c0053f5787af51d5315a38353151

Aliases

arxiv: 1512.05346 · arxiv_version: 1512.05346v2 · doi: 10.48550/arxiv.1512.05346 · pith_short_12: KUOEL2EO2KPF · pith_short_16: KUOEL2EO2KPFVKQA · pith_short_8: KUOEL2EO
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KUOEL2EO2KPFVKQA6NJHD5CILK \
  | 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: 551c45e88ed29e5aaa00f35271f4485aa238c0053f5787af51d5315a38353151
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "713b206b255674909d55c099e38387f3881e2a9bd715f5cab51f7043633cd344",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-12-16T21:00:00Z",
    "title_canon_sha256": "d4545991e70e0bda1855c9a23b0b7ce156d8317693f2e053a8eb035a6356779e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05346",
    "kind": "arxiv",
    "version": 2
  }
}