Pith Number

pith:BKGFXSPG

pith:2026:BKGFXSPGNVXFW5HTNNBFSIBGBN

not attested not anchored not stored refs pending

Determination of the metric of a Schwarzschild black hole surrounded by a halo of dark matter

Claudio Salas-Perez, I. A. Sarmiento-Alvarado, Leonel Bixano, M. Castillo Alarc\'on, Tonatiuh Matos

arxiv:2606.27482 v1 · 2026-06-25 · gr-qc · astro-ph.GA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BKGFXSPGNVXFW5HTNNBFSIBGBN}

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	2026-06-29T00:14:07.858819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a8c5bc9e66d6e5b74f36b425920260b68d3de410fed0b2d5c22fc248463072e

Aliases

arxiv: 2606.27482 · arxiv_version: 2606.27482v1 · doi: 10.48550/arxiv.2606.27482 · pith_short_12: BKGFXSPGNVXF · pith_short_16: BKGFXSPGNVXFW5HT · pith_short_8: BKGFXSPG

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/BKGFXSPGNVXFW5HTNNBFSIBGBN \
  | 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: 0a8c5bc9e66d6e5b74f36b425920260b68d3de410fed0b2d5c22fc248463072e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1e0a8cfca2c7d841e4c7c0734fccbc3ed049d7a3c2069cfaf48e733f3c0c17d",
    "cross_cats_sorted": [
      "astro-ph.GA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-25T19:05:38Z",
    "title_canon_sha256": "33c761279e56aad66799edeb63ffbb6d08ac8964d08bff71090b4761be22e86a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27482",
    "kind": "arxiv",
    "version": 1
  }
}