Pith Number

pith:LFKSOWZI

pith:2021:LFKSOWZIQDMYXZGTJI3XOSBI3S

not attested not anchored not stored refs pending

Strong gravitational lensing by rotating Simpson--Visser black holes

Jitendra Kumar, Shafqat Ul Islam, Sushant G. Ghosh

arxiv:2104.00696 v3 · 2021-04-01 · 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{LFKSOWZIQDMYXZGTJI3XOSBI3S}

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	2026-07-05T06:20:16.116003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5955275b2880d98be4d34a37774828dc9fe10122b55462fda96247bd53b580ed

Aliases

arxiv: 2104.00696 · arxiv_version: 2104.00696v3 · doi: 10.48550/arxiv.2104.00696 · pith_short_12: LFKSOWZIQDMY · pith_short_16: LFKSOWZIQDMYXZGT · pith_short_8: LFKSOWZI

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/LFKSOWZIQDMYXZGTJI3XOSBI3S \
  | 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: 5955275b2880d98be4d34a37774828dc9fe10122b55462fda96247bd53b580ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941f4c3b6b5dc9e327ad4c12ceb019563a651ca5c74b5db5cd8d114df7caea06",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-04-01T18:03:47Z",
    "title_canon_sha256": "33bd50a3364946892610491f342ad29fd3f4c5ebf166abf96132cd7947e50615"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.00696",
    "kind": "arxiv",
    "version": 3
  }
}