Pith Number

pith:RD3EJ3A7

pith:2026:RD3EJ3A752Z3R6P5NE3YHBHNCO

not attested not anchored not stored refs pending

Exact Solution of the Non-minimally Coupled Klein-Gordon Equation in the Schwarzschild Star

Kevin T. Grosvenor, Reynan A. Dulinayan

arxiv:2606.19433 v1 · 2026-06-17 · gr-qc · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RD3EJ3A752Z3R6P5NE3YHBHNCO}

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	2026-06-19T16:12:25.553383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88f644ec1feeb3b8f9fd69378384ed13bcf4716edce010a9edb463580b113dd1

Aliases

arxiv: 2606.19433 · arxiv_version: 2606.19433v1 · doi: 10.48550/arxiv.2606.19433 · pith_short_12: RD3EJ3A752Z3 · pith_short_16: RD3EJ3A752Z3R6P5 · pith_short_8: RD3EJ3A7

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/RD3EJ3A752Z3R6P5NE3YHBHNCO \
  | 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: 88f644ec1feeb3b8f9fd69378384ed13bcf4716edce010a9edb463580b113dd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cde3537420c080ee05266a9c8107b3dc69833112cd5973e8ea25629b977aea03",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-17T18:00:01Z",
    "title_canon_sha256": "2a59a3d8acef1bc892614b2295d68b2441711f70390ed15821673b45ceed7ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19433",
    "kind": "arxiv",
    "version": 1
  }
}