Pith Number

pith:IQ7I4CZZ

pith:2011:IQ7I4CZZCSTOE2C6SSJMW5LSMU

not attested not anchored not stored refs pending

Constraining Ho\v{r}ava-Lifshitz gravity by weak and strong gravitational lensing

Francisco S. N. Lobo, L\'aszl\'o \'A. Gergely, Tiberiu Harko, Zolt\'an Keresztes, Zsolt Horv\'ath

arxiv:1105.0765 v3 · 2011-05-04 · gr-qc · astro-ph.GA · 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{IQ7I4CZZCSTOE2C6SSJMW5LSMU}

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	2026-05-18T04:11:07.280547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443e8e0b3914a6e2685e9492cb7572650442a98bb22586db45356463cd24902b

Aliases

arxiv: 1105.0765 · arxiv_version: 1105.0765v3 · doi: 10.48550/arxiv.1105.0765 · pith_short_12: IQ7I4CZZCSTO · pith_short_16: IQ7I4CZZCSTOE2C6 · pith_short_8: IQ7I4CZZ

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/IQ7I4CZZCSTOE2C6SSJMW5LSMU \
  | 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: 443e8e0b3914a6e2685e9492cb7572650442a98bb22586db45356463cd24902b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5c84363dc581625787b2f0d376d7d2d647ce40d81e41fa153bf1de88ac5b9c",
    "cross_cats_sorted": [
      "astro-ph.GA",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-05-04T08:47:48Z",
    "title_canon_sha256": "caf2731b53281b5d58881d47e7e2808900e336fef5a3cd3ae6a31ada1779acea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0765",
    "kind": "arxiv",
    "version": 3
  }
}