Pith Number

pith:OZOX2WVW

pith:2011:OZOX2WVWUO5OTRHHU2H5ZJVYN5

not attested not anchored not stored refs pending

Probing the dark matter issue in f(R)-gravity via gravitational lensing

C. Tortora, J. N\"af, M. Lubini, Ph. Jetzer, S. Capozziello

arxiv:1104.2851 v2 · 2011-04-14 · gr-qc · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OZOX2WVWUO5OTRHHU2H5ZJVYN5}

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	2026-05-18T04:02:52.789096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

765d7d5ab6a3bae9c4e7a68fdca6b86f7aff49e22631d46db9ef34660df2aa95

Aliases

arxiv: 1104.2851 · arxiv_version: 1104.2851v2 · doi: 10.48550/arxiv.1104.2851 · pith_short_12: OZOX2WVWUO5O · pith_short_16: OZOX2WVWUO5OTRHH · pith_short_8: OZOX2WVW

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/OZOX2WVWUO5OTRHHU2H5ZJVYN5 \
  | 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: 765d7d5ab6a3bae9c4e7a68fdca6b86f7aff49e22631d46db9ef34660df2aa95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f084f3f438bd5216c07b627a67797fc65c52cde84ab4531065b40769e6f979",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-14T18:05:07Z",
    "title_canon_sha256": "5c25dfc8ce8f906cd9c37eb69fd90352294b0cc19842e7cb5cccfac1f140e075"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2851",
    "kind": "arxiv",
    "version": 2
  }
}