Pith Number

pith:32VRTWIN

pith:2010:32VRTWINTE6OLWMOXDHVLNM5P4

not attested not anchored not stored refs pending

Covariant power-counting renormalizable gravity: Lorentz symmetry breaking and accelerating early-time FRW universe

Sergei D. Odintsov, Shin'ichi Nojiri

arxiv:1007.4856 v1 · 2010-07-28 · hep-th · astro-ph.CO · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{32VRTWINTE6OLWMOXDHVLNM5P4}

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	2026-05-18T04:27:58.119466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deab19d90d993ce5d98eb8cf55b59d7f0f202c799df0739bac339e345cb4c00d

Aliases

arxiv: 1007.4856 · arxiv_version: 1007.4856v1 · doi: 10.48550/arxiv.1007.4856 · pith_short_12: 32VRTWINTE6O · pith_short_16: 32VRTWINTE6OLWMO · pith_short_8: 32VRTWIN

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/32VRTWINTE6OLWMOXDHVLNM5P4 \
  | 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: deab19d90d993ce5d98eb8cf55b59d7f0f202c799df0739bac339e345cb4c00d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33b185da70c791418385f20fa87f5dd976a088a9b7644bd6064f53f7af8c373f",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-28T00:36:22Z",
    "title_canon_sha256": "409319d3f77fe2a7813046f354e1f81dd865a86d2f1b9283943f04a64129e9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4856",
    "kind": "arxiv",
    "version": 1
  }
}