Pith Number

pith:COS6NQFD

pith:2011:COS6NQFDNMSD3NK3JDX2CARXKJ

not attested not anchored not stored refs pending

Oscillations of the F(R) dark energy in the accelerating universe

E. Elizalde, L. Sebastiani, S. D. Odintsov, S. Zerbini

arxiv:1108.6184 v2 · 2011-08-31 · 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{COS6NQFDNMSD3NK3JDX2CARXKJ}

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	2026-05-18T02:00:44.097890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13a5e6c0a36b243db55b48efa10237525abe0136bee664193e530adbf5ef2f2a

Aliases

arxiv: 1108.6184 · arxiv_version: 1108.6184v2 · doi: 10.48550/arxiv.1108.6184 · pith_short_12: COS6NQFDNMSD · pith_short_16: COS6NQFDNMSD3NK3 · pith_short_8: COS6NQFD

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/COS6NQFDNMSD3NK3JDX2CARXKJ \
  | 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: 13a5e6c0a36b243db55b48efa10237525abe0136bee664193e530adbf5ef2f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6a377274dfe0ee741a51dc4c565394934c8f2c2969232e9f350aa6913fafd82",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-31T10:38:08Z",
    "title_canon_sha256": "126916f537a1a89b969275c3ebb5ae5fa572a9b761e0ec9a0905d0679ddf9858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.6184",
    "kind": "arxiv",
    "version": 2
  }
}