Pith Number

pith:GVWZH7MI

pith:2020:GVWZH7MI6GU27QICFED4KTWZDW

not attested not anchored not stored refs pending

Kerr black hole surrounded by a cloud of strings and its weak gravitational lensing in Rastall gravity

Tao Zhou, Zonghai Li

arxiv:2001.01642 v4 · 2020-01-06 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVWZH7MI6GU27QICFED4KTWZDW}

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

1 paper in Pith

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic

Receipt and verification

First computed	2026-07-05T03:33:01.876000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

356d93fd88f1a9afc1022907c54ed91daf27c27be3eb00968ed5774b94a302f2

Aliases

arxiv: 2001.01642 · arxiv_version: 2001.01642v4 · doi: 10.48550/arxiv.2001.01642 · pith_short_12: GVWZH7MI6GU2 · pith_short_16: GVWZH7MI6GU27QIC · pith_short_8: GVWZH7MI

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/GVWZH7MI6GU27QICFED4KTWZDW \
  | 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: 356d93fd88f1a9afc1022907c54ed91daf27c27be3eb00968ed5774b94a302f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49253cf4976c55ebe89f9a14700e046e036051010127ff2abdadde7fc62dfc80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-01-06T16:08:35Z",
    "title_canon_sha256": "845faa232b047335246abc5122a68c03888b6d38cd229053e31ff2daecfdf39a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.01642",
    "kind": "arxiv",
    "version": 4
  }
}