Pith Number

pith:GJ7BFVK3

pith:2020:GJ7BFVK3ZPVRV4YVU2ENLSHCIN

not attested not anchored not stored refs pending

Strong gravitational lensing of a 4-dimensional Einstein-Gauss-Bonnet black hole in homogeneous plasma

Dao-jun Liu, Xing-hua Jin, Yuan-Xing Gao

arxiv:2004.02261 v3 · 2020-04-05 · 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{GJ7BFVK3ZPVRV4YVU2ENLSHCIN}

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

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing

Receipt and verification

First computed	2026-07-05T01:29:58.764305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

327e12d55bcbeb1af315a688d5c8e2436e3142bf40e71631811e2c4ff08993ad

Aliases

arxiv: 2004.02261 · arxiv_version: 2004.02261v3 · doi: 10.48550/arxiv.2004.02261 · pith_short_12: GJ7BFVK3ZPVR · pith_short_16: GJ7BFVK3ZPVRV4YV · pith_short_8: GJ7BFVK3

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/GJ7BFVK3ZPVRV4YVU2ENLSHCIN \
  | 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: 327e12d55bcbeb1af315a688d5c8e2436e3142bf40e71631811e2c4ff08993ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3650ad198d4ab8ccbb6a57c6cd851169c81a5e4e48d79b69f5496f09c7817713",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-04-05T17:31:34Z",
    "title_canon_sha256": "1308dc812618770f0a834c2864163bc7e85924503f120be52454284d34ef0b36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.02261",
    "kind": "arxiv",
    "version": 3
  }
}