Pith Number

pith:RX3ZAC2I

pith:2012:RX3ZAC2IIIONDNU6LVXJ34VYDP

not attested not anchored not stored refs pending

Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart

Diego S\'aez-G\'omez (University of the Basque Country)

arxiv:1207.5472 v2 · 2012-07-23 · gr-qc · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RX3ZAC2IIIONDNU6LVXJ34VYDP}

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

Finite scale factor and future singularities

Receipt and verification

First computed	2026-05-18T01:56:08.899748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df7900b48421cd1b69e5d6e9df2b81be4331941f967b03271ce7d56a728ed19

Aliases

arxiv: 1207.5472 · arxiv_version: 1207.5472v2 · doi: 10.48550/arxiv.1207.5472 · pith_short_12: RX3ZAC2IIION · pith_short_16: RX3ZAC2IIIONDNU6 · pith_short_8: RX3ZAC2I

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/RX3ZAC2IIIONDNU6LVXJ34VYDP \
  | 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: 8df7900b48421cd1b69e5d6e9df2b81be4331941f967b03271ce7d56a728ed19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f351d12d2acf43d96d9eec8ddebd49490cfdf8556c04e912baa9650e09d416ad",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-23T18:15:10Z",
    "title_canon_sha256": "07704fcf5dafeb0aa3cce9e0a352930c404e9b4f05cf1e798847f48c33c59fda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5472",
    "kind": "arxiv",
    "version": 2
  }
}