Pith Number

pith:54PGLHLE

pith:2026:54PGLHLEQFRD3YIOXVNVZLRZAU

not attested not anchored not stored refs pending

Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations

Edgar Alejandro Le\'on

arxiv:2608.07909 v1 · 2026-08-08 · gr-qc · 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{54PGLHLEQFRD3YIOXVNVZLRZAU}

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	2026-08-11T01:18:54.241367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef1e659d6481623de10ebd5b5cae39053b2d17455dfac479db485acfc4a76366

Aliases

arxiv: 2608.07909 · arxiv_version: 2608.07909v1 · doi: 10.48550/arxiv.2608.07909 · pith_short_12: 54PGLHLEQFRD · pith_short_16: 54PGLHLEQFRD3YIO · pith_short_8: 54PGLHLE

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/54PGLHLEQFRD3YIOXVNVZLRZAU \
  | 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: ef1e659d6481623de10ebd5b5cae39053b2d17455dfac479db485acfc4a76366

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f874e16a23b17f16ac228ef8ab2bd5415e766073da8820b5f1a6f2def1e9939",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-08-08T04:28:15Z",
    "title_canon_sha256": "034935ae16fea6b33bdb907bf48c1f8184b5fc85d6d418a8cb166b5088213c89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07909",
    "kind": "arxiv",
    "version": 1
  }
}