Pith Number

pith:PBAANPGD

pith:2024:PBAANPGDOBSTUYNWQZVP42MECT

not attested not anchored not stored refs pending

Schwarzschild black hole surrounded by a cloud of strings in the background of perfect fluid dark matter

Bekir Can L\"utf\"uo\u{g}lu, Bilel Hamil

arxiv:2410.09551 v2 · 2024-10-12 · gr-qc · 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{PBAANPGDOBSTUYNWQZVP42MECT}

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.

Cited by

2 papers in Pith

Black string immersed in perfect fluid dark matter

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

Receipt and verification

First computed	2026-07-05T10:40:13.400718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

784006bcc370653a61b6866afe698414f490075b8071e655846fbab5e045786f

Aliases

arxiv: 2410.09551 · arxiv_version: 2410.09551v2 · doi: 10.48550/arxiv.2410.09551 · pith_short_12: PBAANPGDOBST · pith_short_16: PBAANPGDOBSTUYNW · pith_short_8: PBAANPGD

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/PBAANPGDOBSTUYNWQZVP42MECT \
  | 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: 784006bcc370653a61b6866afe698414f490075b8071e655846fbab5e045786f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee4e94e6618edc1b1a5ffce8fe6a5aafb59022305924b23ec5943446cbfaa421",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-10-12T14:52:23Z",
    "title_canon_sha256": "d37bff7896e072dbe9557fadfb9003509d51bb8c9c9c8a1f23cede61338a33de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.09551",
    "kind": "arxiv",
    "version": 2
  }
}