Pith Number

pith:LQOT7CXD

pith:2013:LQOT7CXDLR3IHAMDFSPZFUMWR6

not attested not anchored not stored refs pending

Modeling the nonlinear clustering in modified gravity models I: A fitting formula for matter power spectrum of f(R) gravity

Gong-Bo Zhao

arxiv:1312.1291 v3 · 2013-12-04 · 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{LQOT7CXDLR3IHAMDFSPZFUMWR6}

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	2026-05-18T02:55:27.358561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c1d3f8ae35c768381832c9f92d1968fac36c80a78da96f5fd9048bb505edc53

Aliases

arxiv: 1312.1291 · arxiv_version: 1312.1291v3 · doi: 10.48550/arxiv.1312.1291 · pith_short_12: LQOT7CXDLR3I · pith_short_16: LQOT7CXDLR3IHAMD · pith_short_8: LQOT7CXD

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/LQOT7CXDLR3IHAMDFSPZFUMWR6 \
  | 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: 5c1d3f8ae35c768381832c9f92d1968fac36c80a78da96f5fd9048bb505edc53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a9e5a81fd72d332ab287b9fe4efb1ad832a502d07d1d19299dccc22abb655a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-12-04T19:28:35Z",
    "title_canon_sha256": "20eb4203a2853f44e36e4c0bd7621770d506e3f2cf2b40f3afe804387c045714"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1291",
    "kind": "arxiv",
    "version": 3
  }
}