Pith. sign in
Pith Number

pith:OW2R3XRF

pith:2016:OW2R3XRFH5TWZGKNCPRF5EP246
not attested not anchored not stored refs pending

Singular $F(R)$ Cosmology Unifying Early and Late-time Acceleration with Matter and Radiation Domination Era

S.D. Odintsov, V.K. Oikonomou

arxiv:1602.03309 v2 · 2016-02-10 · gr-qc · astro-ph.CO · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OW2R3XRFH5TWZGKNCPRF5EP246}

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 2026-05-18T01:13:15.362544Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

75b51dde253f676c994d13e25e91fae7a49fe2026070b9cb13dffe4284c212f1

Aliases

arxiv: 1602.03309 · arxiv_version: 1602.03309v2 · doi: 10.48550/arxiv.1602.03309 · pith_short_12: OW2R3XRFH5TW · pith_short_16: OW2R3XRFH5TWZGKN · pith_short_8: OW2R3XRF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OW2R3XRFH5TWZGKNCPRF5EP246 \
  | 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: 75b51dde253f676c994d13e25e91fae7a49fe2026070b9cb13dffe4284c212f1
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8358b1c8fff7c23221f4560c863b4454564b26bebc74d44498d1f67c889ac788",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-10T09:45:57Z",
    "title_canon_sha256": "66179505ab515f78a7ad241e59d13576837d87f98c09c95ac0755e335eb41259"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03309",
    "kind": "arxiv",
    "version": 2
  }
}