Pith Number

pith:JGOL34YG

pith:2023:JGOL34YGHHJY4YUA3N2ZOPR55O

not attested not anchored not stored refs pending

Onset of chaotic gravitational lensing in non-Kerr rotating black holes with quadrupole mass moment

Cheng-Gang Shao, Cheng-Yong Zhang, Wei-Liang Qian, Wen-Hao Wu

arxiv:2303.04907 v2 · 2023-03-08 · 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{JGOL34YGHHJY4YUA3N2ZOPR55O}

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	2026-07-05T06:32:07.145867Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

499cbdf30639d38e6280db75973e3deb8beafb3558ce34ea80409fa4d3fb5bde

Aliases

arxiv: 2303.04907 · arxiv_version: 2303.04907v2 · doi: 10.48550/arxiv.2303.04907 · pith_short_12: JGOL34YGHHJY · pith_short_16: JGOL34YGHHJY4YUA · pith_short_8: JGOL34YG

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/JGOL34YGHHJY4YUA3N2ZOPR55O \
  | 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: 499cbdf30639d38e6280db75973e3deb8beafb3558ce34ea80409fa4d3fb5bde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94666fb0e8d38f694d06c833f5d6c5c9dddcd382675990257ceadc134e069bcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-08T21:52:12Z",
    "title_canon_sha256": "0148cbfaf1b832423c68115fe21ba29fad4132801b58b710412213f9f2778640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.04907",
    "kind": "arxiv",
    "version": 2
  }
}