Pith Number

pith:C664IZXF

pith:2012:C664IZXFSW4CPDS6BNFMWU37FZ

not attested not anchored not stored refs pending

Thermodynamics in Little Rip cosmology in the framework of a type of f(R,T) gravity

Deborah F. Jardim, F. G. Alvarenga, Manuel E. Rodrigues, M. J. S. Houndjo, R. Myrzakulov

arxiv:1207.1646 v2 · 2012-07-05 · 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{C664IZXFSW4CPDS6BNFMWU37FZ}

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	2026-05-18T02:43:37.210148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17bdc466e595b8278e5e0b4acb537f2e6a12e451692d4c6b478a942e4462996c

Aliases

arxiv: 1207.1646 · arxiv_version: 1207.1646v2 · doi: 10.48550/arxiv.1207.1646 · pith_short_12: C664IZXFSW4C · pith_short_16: C664IZXFSW4CPDS6 · pith_short_8: C664IZXF

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/C664IZXFSW4CPDS6BNFMWU37FZ \
  | 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: 17bdc466e595b8278e5e0b4acb537f2e6a12e451692d4c6b478a942e4462996c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5d31c0838735a6aef51e0ff7c27ebfb150b8b343f266d9bbd33899f08439e8a",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-07-05T19:35:35Z",
    "title_canon_sha256": "e7ca7d406060f216202dcaf2988888beea39306a6c47b20318876b760109066e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1646",
    "kind": "arxiv",
    "version": 2
  }
}