Pith Number

pith:VJT2M2Q4

pith:2020:VJT2M2Q4VSH6TWQPKNVXDA4TI4

not attested not anchored not stored refs pending

Gravitational lensing by black holes in the $4D$ Einstein-Gauss-Bonnet gravity

Rahul Kumar, Shafqat Ul Islam, Sushant G. Ghosh

arxiv:2004.01038 v3 · 2020-04-02 · 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{VJT2M2Q4VSH6TWQPKNVXDA4TI4}

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

Rotating Black Holes with Primary Scalar Hair: Shadow Signatures in Beyond Horndeski Gravity

Relative Magnification Factor of Point Sources on Accretion Disks

Receipt and verification

First computed	2026-07-05T01:35:45.409392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa67a66a1cac8fe9da0f536b718393471a7b7f2cc1d20b41e43ee5c47238fe1b

Aliases

arxiv: 2004.01038 · arxiv_version: 2004.01038v3 · doi: 10.48550/arxiv.2004.01038 · pith_short_12: VJT2M2Q4VSH6 · pith_short_16: VJT2M2Q4VSH6TWQP · pith_short_8: VJT2M2Q4

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/VJT2M2Q4VSH6TWQPKNVXDA4TI4 \
  | 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: aa67a66a1cac8fe9da0f536b718393471a7b7f2cc1d20b41e43ee5c47238fe1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "281ef558e3aa271b853a427e2a8b03d73593ac4c06bbb6e7e67ba7195e627297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-02T14:36:08Z",
    "title_canon_sha256": "6a9afbbf9eed86498a08078f2ed263f3e66f28995370e75b4a57f7c0d6457ce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.01038",
    "kind": "arxiv",
    "version": 3
  }
}