Pith Number

pith:GEEV3RFA

pith:2022:GEEV3RFAK2NX74XATA7CDTDH66

not attested not anchored not stored refs pending

Early and late time cosmology: the $f(R)$ gravity perspective

Francesco Bajardi, Micol Benetti, Rocco D'Agostino, Salvatore Capozziello, Vittorio De Falco

arxiv:2211.06268 v1 · 2022-11-11 · gr-qc · astro-ph.CO · 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{GEEV3RFAK2NX74XATA7CDTDH66}

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.

Cited by

1 paper in Pith

From minimal-length quantum theory to modified gravity

Receipt and verification

First computed	2026-07-05T05:15:18.983098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31095dc4a0569b7ff2e0983e21cc67f7bb579e1f872cbb3498d6462495f9c88d

Aliases

arxiv: 2211.06268 · arxiv_version: 2211.06268v1 · doi: 10.48550/arxiv.2211.06268 · pith_short_12: GEEV3RFAK2NX · pith_short_16: GEEV3RFAK2NX74XA · pith_short_8: GEEV3RFA

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/GEEV3RFAK2NX74XATA7CDTDH66 \
  | 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: 31095dc4a0569b7ff2e0983e21cc67f7bb579e1f872cbb3498d6462495f9c88d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4c0b2f0751d23657d2693c1c0082a52e0e900adea9025dc43703c5512b0ac8a",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-11-11T15:21:45Z",
    "title_canon_sha256": "f29c9cd402f9c31259f3d4e059ec6f10e96efd24f47abe4ef0af0fc2027478cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.06268",
    "kind": "arxiv",
    "version": 1
  }
}