Pith Number

pith:XBORPBVL

pith:2012:XBORPBVLXEUXEFVTNOAHYIEADR

not attested not anchored not stored refs pending

The nonlinear matter and velocity power spectra in f(R) gravity

Baojiu Li (Durham), Carlton M. Baugh (Durham), Elise Jennings (Chicago), Gong-Bo Zhao (Portsmouth), Kazuya Koyama (Portsmouth), Wojciech A. Hellwing (Durham)

arxiv:1206.4317 v2 · 2012-06-19 · 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{XBORPBVLXEUXEFVTNOAHYIEADR}

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	2026-05-18T03:25:05.965621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85d1786abb9297216b36b807c20801c59c3087098def0ff3b25f2fc8a54bd74

Aliases

arxiv: 1206.4317 · arxiv_version: 1206.4317v2 · doi: 10.48550/arxiv.1206.4317 · pith_short_12: XBORPBVLXEUX · pith_short_16: XBORPBVLXEUXEFVT · pith_short_8: XBORPBVL

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/XBORPBVLXEUXEFVTNOAHYIEADR \
  | 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: b85d1786abb9297216b36b807c20801c59c3087098def0ff3b25f2fc8a54bd74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5796f54d99412ecadad0193a37ba7b1c52db79fc8391382ee5ffc4370ef7dea6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2012-06-19T20:00:05Z",
    "title_canon_sha256": "fa96de34480e9be99718b60a3761f10ab74186cbd59975f1f69b51ed15df4e30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4317",
    "kind": "arxiv",
    "version": 2
  }
}