Pith Number

pith:5P3JFNLV

pith:2018:5P3JFNLVGASFQUEOYDLIZDTZNY

not attested not anchored not stored refs pending

Most general cubic-order Horndeski Lagrangian allowing for scaling solutions and the application to dark energy

Nelson J. Nunes, Noemi Frusciante, Ryotaro Kase, Shinji Tsujikawa

arxiv:1810.07957 v2 · 2018-10-18 · gr-qc · astro-ph.CO · 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{5P3JFNLVGASFQUEOYDLIZDTZNY}

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	2026-05-17T23:57:31.047603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf692b575302458508ec0d68c8e796e0dee1573eb48ae4e187ead67d7ae205d

Aliases

arxiv: 1810.07957 · arxiv_version: 1810.07957v2 · doi: 10.48550/arxiv.1810.07957 · pith_short_12: 5P3JFNLVGASF · pith_short_16: 5P3JFNLVGASFQUEO · pith_short_8: 5P3JFNLV

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/5P3JFNLVGASFQUEOYDLIZDTZNY \
  | 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: ebf692b575302458508ec0d68c8e796e0dee1573eb48ae4e187ead67d7ae205d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42f5929a18fceec9cbf4d2c36f26c6efd06225eb1a9f8700e5443d2dcfe3032",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-10-18T09:19:09Z",
    "title_canon_sha256": "72c1a0bb20a354baa6f569defb8f4a535c562887c5eb3f9975d18cd6df6b3c5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07957",
    "kind": "arxiv",
    "version": 2
  }
}