Pith Number

pith:LEL33GGB

pith:2025:LEL33GGBZ5EY5JJ5BO47GDGMHM

not attested not anchored not stored refs pending

Distinguishing scale-dependent Planck stars from renormalization group improved Schwarzschild black holes by Gravitational waves

Li Huang

arxiv:2506.17909 v1 · 2025-06-22 · 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{LEL33GGBZ5EY5JJ5BO47GDGMHM}

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

Rational Orbits and Gravitational Waves in Static Spherical Spacetimes: An Open-Source Numerical Framework

Receipt and verification

First computed	2026-07-05T11:25:25.316345Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5917bd98c1cf498ea53d0bb9f30ccc3b03ad9118bdb5fb1bd52951d0414be273

Aliases

arxiv: 2506.17909 · arxiv_version: 2506.17909v1 · doi: 10.48550/arxiv.2506.17909 · pith_short_12: LEL33GGBZ5EY · pith_short_16: LEL33GGBZ5EY5JJ5 · pith_short_8: LEL33GGB

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/LEL33GGBZ5EY5JJ5BO47GDGMHM \
  | 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: 5917bd98c1cf498ea53d0bb9f30ccc3b03ad9118bdb5fb1bd52951d0414be273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b151abd5567dc718413ee0c551fa1e76477fbf1333f64e30cf87125910c72657",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-06-22T06:13:48Z",
    "title_canon_sha256": "db28556965499c91bea84602f57ad9e52a834e82694a8ae6e2acd6213796b626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17909",
    "kind": "arxiv",
    "version": 1
  }
}