Pith Number

pith:XIO5XYXG

pith:2025:XIO5XYXGKWJ2QOGOLMD32KYYZQ

not attested not anchored not stored refs pending

Investigating $f(R)$-Inflation: background evolution and constraints

Alessandro Melchiorri, Chiara De Leo, Elisa Fazzari, Giovanni Montani, Guadalupe Ca\~nas-Herrera, Matteo Martinelli

arxiv:2507.13890 v1 · 2025-07-18 · 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{XIO5XYXGKWJ2QOGOLMD32KYYZQ}

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

Primordial black holes formation in inflationary $F(R)$ models with scalar fields

Receipt and verification

First computed	2026-07-05T11:39:25.135894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba1ddbe2e65593a838ce5b07bd2b18cc2da806aaef506108e71153d3eddff707

Aliases

arxiv: 2507.13890 · arxiv_version: 2507.13890v1 · doi: 10.48550/arxiv.2507.13890 · pith_short_12: XIO5XYXGKWJ2 · pith_short_16: XIO5XYXGKWJ2QOGO · pith_short_8: XIO5XYXG

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/XIO5XYXGKWJ2QOGOLMD32KYYZQ \
  | 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: ba1ddbe2e65593a838ce5b07bd2b18cc2da806aaef506108e71153d3eddff707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0cfc07092e9948d8603afbf52abad0fe2381634b7dc1021a3b027f849fa1d4",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-07-18T13:07:38Z",
    "title_canon_sha256": "e3f1b145119918e21977798a3390266ad0b23177206d2f27ef2a045e9865e62f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.13890",
    "kind": "arxiv",
    "version": 1
  }
}