Pith Number

pith:T3OQLUQF

pith:2023:T3OQLUQFSNCJXXRL7VY2AWNBQ2

not attested not anchored not stored refs pending

Weak gravitational lensing and shadow of a GUP-modified Schwarzschild black hole in the presence of plasma

Ahmadjon Abdujabbarov, Farruh Atamurotov, Husanboy Hoshimov, Mubasher Jamil, Odil Yunusov

arxiv:2312.10678 v1 · 2023-12-17 · 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{T3OQLUQFSNCJXXRL7VY2AWNBQ2}

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

$\tt BlackHawk$ $\tt v3.0$: Hawking Radiation from Regular Black Holes

Receipt and verification

First computed	2026-07-05T07:28:12.661121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9edd05d20593449bde2bfd71a059a1869386d3197fffc44f7d133188432dff5c

Aliases

arxiv: 2312.10678 · arxiv_version: 2312.10678v1 · doi: 10.48550/arxiv.2312.10678 · pith_short_12: T3OQLUQFSNCJ · pith_short_16: T3OQLUQFSNCJXXRL · pith_short_8: T3OQLUQF

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/T3OQLUQFSNCJXXRL7VY2AWNBQ2 \
  | 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: 9edd05d20593449bde2bfd71a059a1869386d3197fffc44f7d133188432dff5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01f40c811c54c9192991cb67647d3a37191ce0ffbee03f2c05c662974ede0bdb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-12-17T10:45:34Z",
    "title_canon_sha256": "f5f73bab89e5430953f4596de1b32de3945543d04dbbf3ca0b252a85ac1396f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2312.10678",
    "kind": "arxiv",
    "version": 1
  }
}