Pith Number

pith:KVMVB7JJ

pith:2016:KVMVB7JJPCSYL63PUNI3MARQR6

not attested not anchored not stored refs pending

Strong gravitational lensing for the photons coupled to Weyl tensor in a Kerr black hole spacetime

Jiliang Jing, Shangyun Wang, Shiliang Wang, Songbai Chen, Yang Huang

arxiv:1611.08783 v2 · 2016-11-27 · 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{KVMVB7JJPCSYL63PUNI3MARQR6}

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

Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A$^*$

Photon rings and shadows of black holes with non-minimal couplings between curvature and electromagnetic field

Receipt and verification

First computed	2026-05-18T00:44:15.790792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

555950fd2978a585fb6fa351b602308fa5180a9db15bada7f467b5f6e708da60

Aliases

arxiv: 1611.08783 · arxiv_version: 1611.08783v2 · doi: 10.48550/arxiv.1611.08783 · pith_short_12: KVMVB7JJPCSY · pith_short_16: KVMVB7JJPCSYL63P · pith_short_8: KVMVB7JJ

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/KVMVB7JJPCSYL63PUNI3MARQR6 \
  | 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: 555950fd2978a585fb6fa351b602308fa5180a9db15bada7f467b5f6e708da60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eed84069de57314e76bba1ddf8fb038b72d862cfa1cb35dacb4271cd803f55fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-11-27T04:33:33Z",
    "title_canon_sha256": "7edbdf881753e423a9a82694ffaf7835c75f2b6af51fd39fc067376f1a6706db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08783",
    "kind": "arxiv",
    "version": 2
  }
}