Pith Number

pith:6JT4SNPE

pith:2023:6JT4SNPEG3DAUUEEE2QTPKSXVH

not attested not anchored not stored refs pending

Weak gravitational lensing by an ESTGB black hole in the presence of a plasma

Qian Li, Qi-Quan Li, Qi Sun, Yu Zhang, Zhi-Wen Lin

arxiv:2307.04444 v1 · 2023-07-10 · 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{6JT4SNPEG3DAUUEEE2QTPKSXVH}

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	2026-07-05T06:29:13.505192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f267c935e436c60a508426a137aa57a9e41a512e3d23a776f7d585ebda89a460

Aliases

arxiv: 2307.04444 · arxiv_version: 2307.04444v1 · doi: 10.48550/arxiv.2307.04444 · pith_short_12: 6JT4SNPEG3DA · pith_short_16: 6JT4SNPEG3DAUUEE · pith_short_8: 6JT4SNPE

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/6JT4SNPEG3DAUUEEE2QTPKSXVH \
  | 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: f267c935e436c60a508426a137aa57a9e41a512e3d23a776f7d585ebda89a460

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d05f1da598af7715459c630082f65782c62da6368be902f905ff384d3ff218ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-07-10T09:53:13Z",
    "title_canon_sha256": "ee05b7b6b3bcc2a377872b6c86251d34022325e9724d2e5b88e7aac889b0fe32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.04444",
    "kind": "arxiv",
    "version": 1
  }
}