Pith Number

pith:LFRFTVVQ

pith:2018:LFRFTVVQGG5UMC4A64V7JT4VPG

not attested not anchored not stored refs pending

Marked clustering statistics in $f(R)$ gravity cosmologies

Baojiu Li, Carlton M. Baugh, C\'esar Hern\'andez-Aguayo

arxiv:1801.08880 v2 · 2018-01-26 · 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{LFRFTVVQGG5UMC4A64V7JT4VPG}

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	2026-05-18T00:00:08.818274Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

596259d6b031bb460b80f72bf4cf95798af1ff962b3984b4d91a19f82cb79ff9

Aliases

arxiv: 1801.08880 · arxiv_version: 1801.08880v2 · doi: 10.48550/arxiv.1801.08880 · pith_short_12: LFRFTVVQGG5U · pith_short_16: LFRFTVVQGG5UMC4A · pith_short_8: LFRFTVVQ

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/LFRFTVVQGG5UMC4A64V7JT4VPG \
  | 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: 596259d6b031bb460b80f72bf4cf95798af1ff962b3984b4d91a19f82cb79ff9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cab8444e19262efb66ab7cb7d1e74c0757cabb45e945e510e821a3be841cc18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2018-01-26T16:10:31Z",
    "title_canon_sha256": "fde700581f0f2641712665cff01ae1ee03f1f7491ab7dcd22875f32449bd9474"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08880",
    "kind": "arxiv",
    "version": 2
  }
}