Pith Number

pith:MRV3CVDN

pith:2014:MRV3CVDNXEXSH2B3C6BTWEWTC7

not attested not anchored not stored refs pending

Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories

Shinji Tsujikawa

arxiv:1412.6210 v3 · 2014-12-19 · hep-th · astro-ph.CO · gr-qc · hep-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{MRV3CVDNXEXSH2B3C6BTWEWTC7}

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	2026-05-18T02:17:51.525984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

646bb1546db92f23e83b17833b12d317c82846156c3ca97a16c4cfff42761997

Aliases

arxiv: 1412.6210 · arxiv_version: 1412.6210v3 · doi: 10.48550/arxiv.1412.6210 · pith_short_12: MRV3CVDNXEXS · pith_short_16: MRV3CVDNXEXSH2B3 · pith_short_8: MRV3CVDN

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/MRV3CVDNXEXSH2B3C6BTWEWTC7 \
  | 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: 646bb1546db92f23e83b17833b12d317c82846156c3ca97a16c4cfff42761997

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510f4d4bd0d53de7abd2f8d796749573c5280915e329448b75e6bc2807e7d423",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2014-12-19T04:27:36Z",
    "title_canon_sha256": "24a6ca4aab781b3252cdb79229d590501c565a6fd9d4c3628a25bd9c8cc5e6cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.6210",
    "kind": "arxiv",
    "version": 3
  }
}