Pith Number

pith:DNHAMICX

pith:2021:DNHAMICX5J4WPP2QMQMJT6UFIX

not attested not anchored not stored refs pending

Strong gravitational lensing by Kerr and Kerr-Newman black holes

Chi-Yong Lin, Da-Shin Lee, Tien Hsieh

arxiv:2101.09008 v2 · 2021-01-22 · 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{DNHAMICX5J4WPP2QMQMJT6UFIX}

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

Periodic orbits of neutral test particles in Reissner-Nordstr\"{o}m naked singularities

Receipt and verification

First computed	2026-07-05T02:50:28.677840Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b4e062057ea7967bf50641899fa8545fe0bd6e8df5c21abf302117fb9814341

Aliases

arxiv: 2101.09008 · arxiv_version: 2101.09008v2 · doi: 10.48550/arxiv.2101.09008 · pith_short_12: DNHAMICX5J4W · pith_short_16: DNHAMICX5J4WPP2Q · pith_short_8: DNHAMICX

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/DNHAMICX5J4WPP2QMQMJT6UFIX \
  | 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: 1b4e062057ea7967bf50641899fa8545fe0bd6e8df5c21abf302117fb9814341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79cf71c32d5ee56e1665bc122d6b885d8b0cccc5652c67ec60b7c81507ee33e3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-01-22T09:03:26Z",
    "title_canon_sha256": "46d2224ceb0e690c822e3d4560e7f215544fc4701e6b97bc6c410920a36e4831"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.09008",
    "kind": "arxiv",
    "version": 2
  }
}