Pith Number

pith:QVLFHOFU

pith:2020:QVLFHOFU7D4E3JTNR7JDYTUMI6

not attested not anchored not stored refs pending

Geodesics and optical properties of rotating black hole in Randall-Sundrum brane with a cosmological constant

Jingli Ren, Saeed Ullah Khan

arxiv:2012.07639 v2 · 2020-12-11 · 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{QVLFHOFU7D4E3JTNR7JDYTUMI6}

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	2026-07-05T02:05:46.129912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

855653b8b4f8f84da66d8fd23c4e8c4792a8355d76997cbff7361ee73a85550a

Aliases

arxiv: 2012.07639 · arxiv_version: 2012.07639v2 · doi: 10.48550/arxiv.2012.07639 · pith_short_12: QVLFHOFU7D4E · pith_short_16: QVLFHOFU7D4E3JTN · pith_short_8: QVLFHOFU

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/QVLFHOFU7D4E3JTNR7JDYTUMI6 \
  | 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: 855653b8b4f8f84da66d8fd23c4e8c4792a8355d76997cbff7361ee73a85550a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900e5ad0802a891721d1e11ef80630f65741710926f4fc02c9334e74794c388f",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-12-11T07:48:50Z",
    "title_canon_sha256": "a92c02c657b6a229300961911ae11a68880871d343240589cd68e8051ff7ba37"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2012.07639",
    "kind": "arxiv",
    "version": 2
  }
}