Pith Number

pith:YLX6ITF7

pith:2022:YLX6ITF7X5OSKIL457GH22G7YT

not attested not anchored not stored refs pending

Shadows and gravitational weak lensing by the Schwarzschild black hole in the string cloud background with quintessential field

Ali \"Ovg\"un, Farruh Atamurotov, Ghulam Mustafa, Ibrar Hussain, Sanjar Shaymatov

arxiv:2207.07608 v2 · 2022-07-15 · 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{YLX6ITF7X5OSKIL457GH22G7YT}

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

Shadows of quintessence black holes: spherical accretion, photon trajectories, and geodesic observers

Light Deflection and Greybody Bound Around a BTZ-ModMax Black Hole in Plasma Medium

Receipt and verification

First computed	2026-07-05T05:21:02.221192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2efe44cbfbf5d25217cefcc7d68dfc4fb84a608577c913d1a82614e65bafc15

Aliases

arxiv: 2207.07608 · arxiv_version: 2207.07608v2 · doi: 10.48550/arxiv.2207.07608 · pith_short_12: YLX6ITF7X5OS · pith_short_16: YLX6ITF7X5OSKIL4 · pith_short_8: YLX6ITF7

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/YLX6ITF7X5OSKIL457GH22G7YT \
  | 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: c2efe44cbfbf5d25217cefcc7d68dfc4fb84a608577c913d1a82614e65bafc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bc393a0f745d8a1d128f11dcf10336731d12f97ba9d7a17dd831b9c09915e88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-07-15T17:06:56Z",
    "title_canon_sha256": "53de6d183dca829426ae5aee88c106d20cee85be4fbd07fbb953ab0423765abe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07608",
    "kind": "arxiv",
    "version": 2
  }
}