Pith Number

pith:7TSMWOQS

pith:2013:7TSMWOQS6XY5YPR3S6MDFG7N3U

not attested not anchored not stored refs pending

Symmetries of Vector Perturbations during the de Sitter Epoch

Alex Kehagias, Antonio Riotto, Enrico Morgante, Hideki Perrier, Matteo Biagetti

arxiv:1304.7785 v2 · 2013-04-29 · astro-ph.CO · gr-qc · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TSMWOQS6XY5YPR3S6MDFG7N3U}

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	2026-05-18T01:50:14.419965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce4cb3a12f5f1dc3e3b9798329beddd299d5ef4e32a982ef4f0d155d013e3fe

Aliases

arxiv: 1304.7785 · arxiv_version: 1304.7785v2 · doi: 10.48550/arxiv.1304.7785 · pith_short_12: 7TSMWOQS6XY5 · pith_short_16: 7TSMWOQS6XY5YPR3 · pith_short_8: 7TSMWOQS

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/7TSMWOQS6XY5YPR3S6MDFG7N3U \
  | 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: fce4cb3a12f5f1dc3e3b9798329beddd299d5ef4e32a982ef4f0d155d013e3fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "537314d2778224e3872814acd425bb80e75b182d27bfcf4c79d6c5b11a83f391",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-04-29T20:03:40Z",
    "title_canon_sha256": "e1c65d51d85bdc16636945a1dd21e03c863eecc9fabf2e2ad64d9cde2d115f31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7785",
    "kind": "arxiv",
    "version": 2
  }
}