Pith Number

pith:DXOJXZOR

pith:2010:DXOJXZORTYOW2O3EM3RI3B24FJ

not attested not anchored not stored refs pending

Exact renormalization group with optimal scale and its application to cosmology

Benjamin Koch, Israel Ramirez

arxiv:1010.2799 v3 · 2010-10-14 · 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{DXOJXZORTYOW2O3EM3RI3B24FJ}

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

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

Receipt and verification

First computed	2026-05-18T01:19:00.736712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ddc9be5d19e1d6d3b6466e28d875c2a4227f1bf3c38a93c004b4490d5546918

Aliases

arxiv: 1010.2799 · arxiv_version: 1010.2799v3 · doi: 10.48550/arxiv.1010.2799 · pith_short_12: DXOJXZORTYOW · pith_short_16: DXOJXZORTYOW2O3E · pith_short_8: DXOJXZOR

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/DXOJXZORTYOW2O3EM3RI3B24FJ \
  | 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: 1ddc9be5d19e1d6d3b6466e28d875c2a4227f1bf3c38a93c004b4490d5546918

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b8e88c83be347c950140666ae025dcb582d7698446fc25b745c46b4d8d393c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2010-10-14T01:11:44Z",
    "title_canon_sha256": "2185d3d15099c5f130e77e12439c9b3528554be13dd2a3c020f06172848cb0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2799",
    "kind": "arxiv",
    "version": 3
  }
}