Pith Number

pith:ZATCRYZY

pith:2019:ZATCRYZYL5RLXPQBYAGUFVOUE4

not attested not anchored not stored refs pending

Unifying Inflation with Early and Late-time Dark Energy in $F(R)$ Gravity

Sergei D. Odintsov, Shin'ichi Nojiri, V.K. Oikonomou

arxiv:1912.13128 v2 · 2019-12-31 · 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{ZATCRYZYL5RLXPQBYAGUFVOUE4}

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

2 papers in Pith

Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension

Theoretical and observational constraints on early dark energy in $F(R)$ gravity

Receipt and verification

First computed	2026-07-05T01:05:40.925349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c82628e3385f62bbbe01c00d42d5d42707c7c9de73231773457ab493f2c8fa36

Aliases

arxiv: 1912.13128 · arxiv_version: 1912.13128v2 · doi: 10.48550/arxiv.1912.13128 · pith_short_12: ZATCRYZYL5RL · pith_short_16: ZATCRYZYL5RLXPQB · pith_short_8: ZATCRYZY

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/ZATCRYZYL5RLXPQBYAGUFVOUE4 \
  | 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: c82628e3385f62bbbe01c00d42d5d42707c7c9de73231773457ab493f2c8fa36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4641f56d97a6dfdaf704f0550b8718cfd726cdf6717e4b93d023e65f9da17b0",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-12-31T00:50:46Z",
    "title_canon_sha256": "d2331113558d0e49b587fcb7e4fa6903674b66cdba792f64d7cc2409afba9d17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.13128",
    "kind": "arxiv",
    "version": 2
  }
}