Pith Number

pith:YLEHRX5O

pith:2002:YLEHRX5OUSO3RNVQD2IIZ3K6E5

not attested not anchored not stored refs pending

Cosmological Perturbations in Renormalization Group Derived Cosmologies

A.Bonanno, M.Reuter

arxiv:astro-ph/0210472 v2 · 2002-10-21 · astro-ph · gr-qc · 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{YLEHRX5OUSO3RNVQD2IIZ3K6E5}

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

2 papers in Pith

Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry

Bianchi-I Cosmology with Radiation in Asymptotically Safe Gravity

Receipt and verification

First computed	2026-05-18T02:40:27.316227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0

Aliases

arxiv: astro-ph/0210472 · arxiv_version: astro-ph/0210472v2 · doi: 10.48550/arxiv.astro-ph/0210472 · pith_short_12: YLEHRX5OUSO3 · pith_short_16: YLEHRX5OUSO3RNVQ · pith_short_8: YLEHRX5O

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/YLEHRX5OUSO3RNVQD2IIZ3K6E5 \
  | 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: c2c878dfaea49db8b6b01e908ced5e2760b0b3bd6028490c1c43754c8efa6df0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29ff949b0a351153c52815296dea5fb858c205be4f731f3691839edec8273da3",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-10-21T19:32:21Z",
    "title_canon_sha256": "76f5695da445a6c0cde18b3242e7308001ff82c03d26c7cc2eccb2e5ace8fd30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0210472",
    "kind": "arxiv",
    "version": 2
  }
}