Pith Number

pith:ZNI3BVNA

pith:2021:ZNI3BVNAEJEAAPHK3FMDRMXY6X

not attested not anchored not stored refs pending

Probing the parameters of a Schwarzschild black hole surrounded by quintessence and cloud of strings through four standard astrophysical tests

J.R. Villanueva, Marco Olivares, Mohsen Fathi, V.H. C\'ardenas

arxiv:2109.08187 v1 · 2021-09-16 · gr-qc · astro-ph.CO · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNI3BVNAEJEAAPHK3FMDRMXY6X}

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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

2 papers in Pith

Periodic orbits and gravitational waveforms around a Schwarzschild black hole with a cloud of strings embedded in perfect fluid dark matter

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Receipt and verification

First computed	2026-07-05T03:19:46.053397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb51b0d5a02248003cead95838b2f8f5ccac17d457b620d9dd24a185a39839cf

Aliases

arxiv: 2109.08187 · arxiv_version: 2109.08187v1 · doi: 10.48550/arxiv.2109.08187 · pith_short_12: ZNI3BVNAEJEA · pith_short_16: ZNI3BVNAEJEAAPHK · pith_short_8: ZNI3BVNA

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/ZNI3BVNAEJEAAPHK3FMDRMXY6X \
  | 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: cb51b0d5a02248003cead95838b2f8f5ccac17d457b620d9dd24a185a39839cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d82e0e2038d2cafa9f6336f87274f9ecf43b43716073f1e0f08a54f07dd4134",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-16T18:46:11Z",
    "title_canon_sha256": "94395ca73dd5571f6abc60b6c3774934103ff766da199b0096e4e55fdaf7f98a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.08187",
    "kind": "arxiv",
    "version": 1
  }
}