Pith Number

pith:B2ZOCPR6

pith:2015:B2ZOCPR66A6MKGY3YS3GGBGDFO

not attested not anchored not stored refs pending

Big-Bounce with Finite-time Singularity: The $F(R)$ Gravity Description

S.D. Odintsov, V.K. Oikonomou

arxiv:1512.04787 v2 · 2015-12-15 · 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{B2ZOCPR66A6MKGY3YS3GGBGDFO}

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

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Receipt and verification

First computed	2026-05-18T00:52:50.654072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eb2e13e3ef03cc51b1bc4b66304c32bbf3da1daa9413c07d217b7540c5bac8b

Aliases

arxiv: 1512.04787 · arxiv_version: 1512.04787v2 · doi: 10.48550/arxiv.1512.04787 · pith_short_12: B2ZOCPR66A6M · pith_short_16: B2ZOCPR66A6MKGY3 · pith_short_8: B2ZOCPR6

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/B2ZOCPR66A6MKGY3YS3GGBGDFO \
  | 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: 0eb2e13e3ef03cc51b1bc4b66304c32bbf3da1daa9413c07d217b7540c5bac8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc4ddb05e4f9b558834b98816522ff40e00c8b9fbecc3d6a4611bda067fa7667",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-15T14:04:05Z",
    "title_canon_sha256": "732062b50e088d9d1dc8e0a063495f4edd0a18b100890581dc55cec6f8069958"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04787",
    "kind": "arxiv",
    "version": 2
  }
}