Pith Number

pith:XYO5GB7D

pith:2015:XYO5GB7DHQJS75ZB3Z5FRCAHUB

not attested not anchored not stored refs pending

Probing $f(R)$ cosmology with sterile neutrinos via measurements of scale-dependent growth rate of structure

Jing-Fei Zhang, Xin Zhang, Yun-He Li

arxiv:1502.01136 v2 · 2015-02-04 · astro-ph.CO · gr-qc · hep-ph · 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{XYO5GB7DHQJS75ZB3Z5FRCAHUB}

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.

Cited by

1 paper in Pith

Evidence for deviation in gravitational light deflection from general relativity at cosmological scales with KiDS-Legacy and CMB lensing

Receipt and verification

First computed	2026-05-18T02:19:16.245257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be1dd307e33c132ff721de7a588807a04b4f4014468c98a0e750eee2005c1260

Aliases

arxiv: 1502.01136 · arxiv_version: 1502.01136v2 · doi: 10.48550/arxiv.1502.01136 · pith_short_12: XYO5GB7DHQJS · pith_short_16: XYO5GB7DHQJS75ZB · pith_short_8: XYO5GB7D

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/XYO5GB7DHQJS75ZB3Z5FRCAHUB \
  | 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: be1dd307e33c132ff721de7a588807a04b4f4014468c98a0e750eee2005c1260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93616fc21954fa45dbb827aecef1f6f9a279f4a389aad0786a66349d6eed9871",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2015-02-04T09:24:23Z",
    "title_canon_sha256": "b803cecf45ed5f7d01f2b1cf5ccd40f45ca38ed3e27ecdb23fc9f2be296ddb29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.01136",
    "kind": "arxiv",
    "version": 2
  }
}