Pith Number

pith:QJEDLSL5

pith:2016:QJEDLSL5NUBMMKSCYJLL2YO6ZP

not attested not anchored not stored refs pending

Strong energy condition and the repulsive character of f(R) gravity

Crislane S. Santos, Jailson S. Alcaniz, Janilo Santos, Salvatore Capozziello

arxiv:1606.02212 v4 · 2016-06-07 · 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{QJEDLSL5NUBMMKSCYJLL2YO6ZP}

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	2026-05-18T00:48:42.697223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

824835c97d6d02c62a42c256bd61decbe95badc8560f6997080e4c5ee49cb2ce

Aliases

arxiv: 1606.02212 · arxiv_version: 1606.02212v4 · doi: 10.48550/arxiv.1606.02212 · pith_short_12: QJEDLSL5NUBM · pith_short_16: QJEDLSL5NUBMMKSC · pith_short_8: QJEDLSL5

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/QJEDLSL5NUBMMKSCYJLL2YO6ZP \
  | 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: 824835c97d6d02c62a42c256bd61decbe95badc8560f6997080e4c5ee49cb2ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "857a21a021225602aea4c63f0e42bec9eda458f68ba63e66fadce2fc0579ade6",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-06-07T16:54:30Z",
    "title_canon_sha256": "05ea07117af239efd6c4dff4aee6e9f8e5293c23f752b8cab247ff0e08327e4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02212",
    "kind": "arxiv",
    "version": 4
  }
}