Pith Number

pith:WZ7HUZMB

pith:2025:WZ7HUZMBHTP2BCLDEPLCABWSBW

not attested not anchored not stored refs pending

Stationary scalar clouds around a rotating BTZ-like black hole in the Einstein-bumblebee gravity

Fangli Quan, Fengjiao Li, Jiliang Jing, Mengjie Wang, Qiyuan Pan

arxiv:2501.15759 v1 · 2025-01-27 · 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{WZ7HUZMBHTP2BCLDEPLCABWSBW}

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	2026-07-05T10:05:50.133472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b67e7a65813cdfa0896323d62006d20dad439746e4ae63b4ab30feb26d19ecbe

Aliases

arxiv: 2501.15759 · arxiv_version: 2501.15759v1 · doi: 10.48550/arxiv.2501.15759 · pith_short_12: WZ7HUZMBHTP2 · pith_short_16: WZ7HUZMBHTP2BCLD · pith_short_8: WZ7HUZMB

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/WZ7HUZMBHTP2BCLDEPLCABWSBW \
  | 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: b67e7a65813cdfa0896323d62006d20dad439746e4ae63b4ab30feb26d19ecbe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fac19d3f323b5680f81effbf403320c49c1ad42b71e272c1add72e3be7cf5437",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2025-01-27T04:00:42Z",
    "title_canon_sha256": "f915a2882aef81b35765334a748d05fbbd5c1fa38342c76fe5c9efba5f568d25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.15759",
    "kind": "arxiv",
    "version": 1
  }
}