Pith Number

pith:24GELOGS

pith:2012:24GELOGSPJ2K7GOOQ3L4CUOY4G

not attested not anchored not stored refs pending

Cosmology in f(R) exponential gravity

Leonardo Patino, Luisa Jaime, Marcelo Salgado

arxiv:1211.0015 v1 · 2012-10-31 · 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{24GELOGSPJ2K7GOOQ3L4CUOY4G}

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	2026-05-18T03:41:43.381579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d70c45b8d27a74af99ce86d7c151d8e1bab2aafc7e9f3d6aa4ce2a4aa4ebda79

Aliases

arxiv: 1211.0015 · arxiv_version: 1211.0015v1 · doi: 10.48550/arxiv.1211.0015 · pith_short_12: 24GELOGSPJ2K · pith_short_16: 24GELOGSPJ2K7GOO · pith_short_8: 24GELOGS

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/24GELOGSPJ2K7GOOQ3L4CUOY4G \
  | 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: d70c45b8d27a74af99ce86d7c151d8e1bab2aafc7e9f3d6aa4ce2a4aa4ebda79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f63fd63667d8b44a571aaae89c545b5fe2eaff2fa51044a705c2dadffa332f81",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-31T20:05:48Z",
    "title_canon_sha256": "f9c09f77037e281493da18c77830e837a15e5f9e3490fa09845d4ed430b44a09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.0015",
    "kind": "arxiv",
    "version": 1
  }
}