Pith Number

pith:QNRKQ2HJ

pith:2020:QNRKQ2HJXW6BEY3IYYWSBFSTHG

not attested not anchored not stored refs pending

Gravitational lensing in the Simpson-Visser black-bounce spacetime in a strong deflection limit

Naoki Tsukamoto

arxiv:2011.03932 v2 · 2020-11-08 · 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{QNRKQ2HJXW6BEY3IYYWSBFSTHG}

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

On relativistic observables in black bounce spacetimes

Three dimensional black bounces in $f(R)$ gravity

Receipt and verification

First computed	2026-07-05T02:09:50.203095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8362a868e9bdbc126368c62d2096533983733d725fddedb191d989b9c7f9fe23

Aliases

arxiv: 2011.03932 · arxiv_version: 2011.03932v2 · doi: 10.48550/arxiv.2011.03932 · pith_short_12: QNRKQ2HJXW6B · pith_short_16: QNRKQ2HJXW6BEY3I · pith_short_8: QNRKQ2HJ

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/QNRKQ2HJXW6BEY3IYYWSBFSTHG \
  | 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: 8362a868e9bdbc126368c62d2096533983733d725fddedb191d989b9c7f9fe23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "101ed11555855d45fc56c2ee891cd7d23249bd6ef77852678acb5cf11be23dc4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-11-08T09:14:04Z",
    "title_canon_sha256": "919b277e2ac0826dc71f1f311ee383a648c8fbccb98cce84665b259b02777da0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.03932",
    "kind": "arxiv",
    "version": 2
  }
}