Pith Number

pith:BGUPGHWR

pith:2017:BGUPGHWR3FIWNOUHOE5ZM2Z4JX

not attested not anchored not stored refs pending

The golden ratio in Schwarzschild-Kottler black holes

J. R. Villanueva, M. Olivares, N. Cruz

arxiv:1701.03166 v1 · 2017-01-11 · gr-qc · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BGUPGHWR3FIWNOUHOE5ZM2Z4JX}

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	2026-05-18T00:49:10.088183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09a8f31ed1d95166ba87713b966b3c4dfdb50b96fa054d5b8a498c9d29fa52b2

Aliases

arxiv: 1701.03166 · arxiv_version: 1701.03166v1 · doi: 10.48550/arxiv.1701.03166 · pith_short_12: BGUPGHWR3FIW · pith_short_16: BGUPGHWR3FIWNOUH · pith_short_8: BGUPGHWR

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/BGUPGHWR3FIWNOUHOE5ZM2Z4JX \
  | 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: 09a8f31ed1d95166ba87713b966b3c4dfdb50b96fa054d5b8a498c9d29fa52b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb7894ad86d3dd5048c6f4539ca114ac88e27e61b9b2e9faa11445bfbcedfc1",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-01-11T20:58:59Z",
    "title_canon_sha256": "bfa85e0c777d19af53a1fc59e53c40bb567752db59ac8ba92719ad2bcf482407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.03166",
    "kind": "arxiv",
    "version": 1
  }
}