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Pith Number

pith:KXU4WXM4

pith:2014:KXU4WXM42TDGIZM4XIXFI6RYF7
not attested not anchored not stored refs pending

Distinguishing f(R) gravity with cosmic voids

Paul Zivick, P.M. Sutter

arxiv:1410.0133 v2 · 2014-10-01 · astro-ph.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KXU4WXM42TDGIZM4XIXFI6RYF7}

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 2026-05-18T00:48:20.894404Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

55e9cb5d9cd4c664659cba2e547a382ffcc1939752515b86a69b89f36cf56b11

Aliases

arxiv: 1410.0133 · arxiv_version: 1410.0133v2 · doi: 10.48550/arxiv.1410.0133 · pith_short_12: KXU4WXM42TDG · pith_short_16: KXU4WXM42TDGIZM4 · pith_short_8: KXU4WXM4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KXU4WXM42TDGIZM4XIXFI6RYF7 \
  | 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: 55e9cb5d9cd4c664659cba2e547a382ffcc1939752515b86a69b89f36cf56b11
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8485d29698be5017074b59f1726bafb710043fbb5c0c09f7ffb0b72de15819ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-10-01T07:45:55Z",
    "title_canon_sha256": "4cf2bcb9ea6d2b8237f8c96eec791bb97d203b8b6c086bcbb1814e5f5bed0036"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0133",
    "kind": "arxiv",
    "version": 2
  }
}