Pith Number

pith:NKKN5QX6

pith:2013:NKKN5QX6DUJ5F7JEILSQWIGFZP

not attested not anchored not stored refs pending

Cosmological behavior in extended nonlinear massive gravity

Athens & Valparaiso U., Catolica), Emmanuel N. Saridakis (Natl. Tech. U., Genly Leon (Valparaiso U., Joel Saavedra (Valparaiso U.

arxiv:1301.7419 v2 · 2013-01-30 · astro-ph.CO · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NKKN5QX6DUJ5F7JEILSQWIGFZP}

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	2026-05-18T03:21:54.723658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a94dec2fe1d13d2fd2442e50b20c5cbe488300137a077e0f899294a58bc1f9f

Aliases

arxiv: 1301.7419 · arxiv_version: 1301.7419v2 · doi: 10.48550/arxiv.1301.7419 · pith_short_12: NKKN5QX6DUJ5 · pith_short_16: NKKN5QX6DUJ5F7JE · pith_short_8: NKKN5QX6

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/NKKN5QX6DUJ5F7JEILSQWIGFZP \
  | 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: 6a94dec2fe1d13d2fd2442e50b20c5cbe488300137a077e0f899294a58bc1f9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd3c0f73dcbc096db93a0e3561c3d086a4c3e7e551542f3a08cade10f32b9b7d",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-01-30T18:27:30Z",
    "title_canon_sha256": "e718db11178cac16540c3cf76b418cc3b77f5fde1908e383ec3a6787046503cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7419",
    "kind": "arxiv",
    "version": 2
  }
}