Pith Number

pith:MKU3M3K3

pith:2009:MKU3M3K3KIJR2O3455SXKWAEJ7

not attested not anchored not stored refs pending

F(R) cosmology in presence of a phantom fluid and its scalar-tensor counterpart:towards a unified precision model of the universe evolution

Diego S\'aez-G\'omez, Emilio Elizalde

arxiv:0903.2732 v3 · 2009-03-16 · hep-th · 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{MKU3M3K3KIJR2O3455SXKWAEJ7}

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	2026-05-18T04:18:15.421720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62a9b66d5b52131d3b7cef657558044fdbb1ad522c0c630d3814456b386c5c04

Aliases

arxiv: 0903.2732 · arxiv_version: 0903.2732v3 · doi: 10.48550/arxiv.0903.2732 · pith_short_12: MKU3M3K3KIJR · pith_short_16: MKU3M3K3KIJR2O34 · pith_short_8: MKU3M3K3

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/MKU3M3K3KIJR2O3455SXKWAEJ7 \
  | 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: 62a9b66d5b52131d3b7cef657558044fdbb1ad522c0c630d3814456b386c5c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d1c673ed2082d8837172d3f87d95dd37f202d60caed7edaa944e0163719fcb",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-03-16T15:04:44Z",
    "title_canon_sha256": "fad10b696f8cdc8090dbc2379a2c25a174be3ab7f503d9c1aef9a552a8e35794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.2732",
    "kind": "arxiv",
    "version": 3
  }
}