Pith Number

pith:DMF5DCXD

pith:2013:DMF5DCXDIGLJ7F45NXIIRDF3BN

not attested not anchored not stored refs pending

Modified Friedmann Equation from Nonminimally Coupled Theories of Gravity

Jorge P\'aramos, Orfeu Bertolami

arxiv:1311.5615 v1 · 2013-11-21 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DMF5DCXDIGLJ7F45NXIIRDF3BN}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:46:07.055273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b0bd18ae341969f979d6dd0888cbb0b57a4e5157277cf38af65884e44f611a6

Aliases

arxiv: 1311.5615 · arxiv_version: 1311.5615v1 · doi: 10.48550/arxiv.1311.5615 · pith_short_12: DMF5DCXDIGLJ · pith_short_16: DMF5DCXDIGLJ7F45 · pith_short_8: DMF5DCXD

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/DMF5DCXDIGLJ7F45NXIIRDF3BN \
  | 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: 1b0bd18ae341969f979d6dd0888cbb0b57a4e5157277cf38af65884e44f611a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "419200e79ad4941b7f085efef4b9d68064ff3948fbed8d265fa03038a3d87dce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2013-11-21T23:13:29Z",
    "title_canon_sha256": "2ef9d28129ed12ccba63a8790452f928d47f58867f226f2c6c30b642c1c413c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5615",
    "kind": "arxiv",
    "version": 1
  }
}