Pith Number

pith:OYUT76UT

pith:2013:OYUT76UTZMY442HMLCG7PQ5LJD

not attested not anchored not stored refs pending

Revisiting the matter power spectra in $f(R)$ gravity

Baojiu Li, Jian-Hua He, Yipeng Jing

arxiv:1305.7333 v2 · 2013-05-31 · 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{OYUT76UTZMY442HMLCG7PQ5LJD}

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	2026-05-18T03:07:23.295941Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76293ffa93cb31ce68ec588df7c3ab48e9f42860524be1db6ad48dc47f68d498

Aliases

arxiv: 1305.7333 · arxiv_version: 1305.7333v2 · doi: 10.48550/arxiv.1305.7333 · pith_short_12: OYUT76UTZMY4 · pith_short_16: OYUT76UTZMY442HM · pith_short_8: OYUT76UT

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/OYUT76UTZMY442HMLCG7PQ5LJD \
  | 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: 76293ffa93cb31ce68ec588df7c3ab48e9f42860524be1db6ad48dc47f68d498

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c3b238da4e8f03f57149d951d6ef25fd12a8f289bf1151df79a7db5a489c31a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2013-05-31T09:18:31Z",
    "title_canon_sha256": "bbb8506d0b857f66a23f7e1027e3aa8b504323d771b77472be797d9293850a62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7333",
    "kind": "arxiv",
    "version": 2
  }
}