Pith Number

pith:Y4V73L7S

pith:2013:Y4V73L7SNWORTAPO6H4YACFZUK

not attested not anchored not stored refs pending

$F(R)$ nonlinear massive theories of gravity and their cosmological implications

Emmanuel N. Saridakis, Francis Duplessis, Yi-Fu Cai

arxiv:1307.7150 v2 · 2013-07-26 · hep-th · astro-ph.CO · gr-qc · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4V73L7SNWORTAPO6H4YACFZUK}

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	2026-05-18T02:41:17.196740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c72bfdaff26d9d1981eef1f98008b9a285d486d91a3f920a652fb96b1bd7d2d7

Aliases

arxiv: 1307.7150 · arxiv_version: 1307.7150v2 · doi: 10.48550/arxiv.1307.7150 · pith_short_12: Y4V73L7SNWOR · pith_short_16: Y4V73L7SNWORTAPO · pith_short_8: Y4V73L7S

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/Y4V73L7SNWORTAPO6H4YACFZUK \
  | 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: c72bfdaff26d9d1981eef1f98008b9a285d486d91a3f920a652fb96b1bd7d2d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60a39dcdba1d9e4bac373dfbc9e0704a9efe07c50164460e5cf1c6cbf50ab849",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-26T20:04:24Z",
    "title_canon_sha256": "2545bd4dd07de1c0496336da0f39d85f454eaba678e7c7b30a4eda0c25f4e7d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7150",
    "kind": "arxiv",
    "version": 2
  }
}