Pith Number

pith:F77E4UJD

pith:2010:F77E4UJDFYC535R3OLGMXNWRZ3

not attested not anchored not stored refs pending

U(1) Invariant F(R) Horava-Lifshitz Gravity

Diego Saez-Gomez, Josef Kluson, Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1012.0473 v2 · 2010-12-02 · 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{F77E4UJDFYC535R3OLGMXNWRZ3}

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	2026-05-18T04:13:16.003979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4

Aliases

arxiv: 1012.0473 · arxiv_version: 1012.0473v2 · doi: 10.48550/arxiv.1012.0473 · pith_short_12: F77E4UJDFYC5 · pith_short_16: F77E4UJDFYC535R3 · pith_short_8: F77E4UJD

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/F77E4UJDFYC535R3OLGMXNWRZ3 \
  | 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: 2ffe4e51232e05ddf63b72cccbb6d1cec1adf7d04368955c80896583af04dec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e1438948d10313bdb75e95fe8c1fa885e06400ec3487dae21370a0cb0c5aab4",
    "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": "2010-12-02T16:13:19Z",
    "title_canon_sha256": "07297fc837f55f9419c7eb8dd991d3b0a730262b3ba6c0101ccf82cd0775d85b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0473",
    "kind": "arxiv",
    "version": 2
  }
}