Pith Number

pith:QYTBUU6V

pith:2022:QYTBUU6V4YNC4BMCWNLJPQUJR2

not attested not anchored not stored refs pending

Quantum effects on the black hole shadow and deflection angle in presence of plasma

Farruh Atamurotov, Kimet Jusufi, Mubasher Jamil

arxiv:2212.12949 v1 · 2022-12-25 · 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{QYTBUU6V4YNC4BMCWNLJPQUJR2}

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

Scalar and Electromagnetic Perturbations around a Black Hole with a Topological Defect: Quasinormal Modes and Quasi-bound States in a Plasma Medium

Receipt and verification

First computed	2026-07-05T05:37:11.109024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86261a53d5e61a2e0582b35697c2898ea7fd591fbdfe70d791be0411f9ca4829

Aliases

arxiv: 2212.12949 · arxiv_version: 2212.12949v1 · doi: 10.48550/arxiv.2212.12949 · pith_short_12: QYTBUU6V4YNC · pith_short_16: QYTBUU6V4YNC4BMC · pith_short_8: QYTBUU6V

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/QYTBUU6V4YNC4BMCWNLJPQUJR2 \
  | 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: 86261a53d5e61a2e0582b35697c2898ea7fd591fbdfe70d791be0411f9ca4829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b2c2c8c457ecd4e8c5e30fcef3c810b64f2247b39d69745629618adc6fa4e6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2022-12-25T19:18:27Z",
    "title_canon_sha256": "4bb43696c4b559b0d3c13fd9a596b38b4e854dfed6a3a374f284b54fa18cdea6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.12949",
    "kind": "arxiv",
    "version": 1
  }
}