Pith Number

pith:QX76FUFL

pith:2014:QX76FUFLBHS3WD5FOZUESNFAUG

not attested not anchored not stored refs pending

A numerical approach to model independently reconstruct $f(R)$ functions through cosmographic data

Liberato Pizza

arxiv:1411.5348 v2 · 2014-11-19 · astro-ph.CO · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QX76FUFLBHS3WD5FOZUESNFAUG}

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	2026-05-18T01:40:59.495771Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85ffe2d0ab09e5bb0fa576684934a0a19e8b7c9fde64bd002c5e8b161c6d3a66

Aliases

arxiv: 1411.5348 · arxiv_version: 1411.5348v2 · doi: 10.48550/arxiv.1411.5348 · pith_short_12: QX76FUFLBHS3 · pith_short_16: QX76FUFLBHS3WD5F · pith_short_8: QX76FUFL

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/QX76FUFLBHS3WD5FOZUESNFAUG \
  | 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: 85ffe2d0ab09e5bb0fa576684934a0a19e8b7c9fde64bd002c5e8b161c6d3a66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63d65ab43115f7226d8ff5d69f854166c8e0519e6383ea97d5f2c4783029f23d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-11-19T20:25:49Z",
    "title_canon_sha256": "d010647fed20a38339506299e4efd9c7a36d64fc345e4bc8a8a4ca0cebfd6855"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5348",
    "kind": "arxiv",
    "version": 2
  }
}