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Pith Number

pith:3J5SVPVI

pith:2021:3J5SVPVIFSC2IBAH7RGHEIK3A6
not attested not anchored not stored refs pending

Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors

Ali \"Ovg\"un, Mert Okyay

arxiv:2108.07766 v3 · 2021-08-17 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3J5SVPVIFSC2IBAH7RGHEIK3A6}

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

3 papers in Pith

Receipt and verification
First computed 2026-07-05T03:46:03.089158Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

da7b2abea82c85a40407fc4c72215b078f4c4ced8182f7bdf8bc5c0b1ca2cb36

Aliases

arxiv: 2108.07766 · arxiv_version: 2108.07766v3 · doi: 10.48550/arxiv.2108.07766 · pith_short_12: 3J5SVPVIFSC2 · pith_short_16: 3J5SVPVIFSC2IBAH · pith_short_8: 3J5SVPVI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3J5SVPVIFSC2IBAH7RGHEIK3A6 \
  | 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: da7b2abea82c85a40407fc4c72215b078f4c4ced8182f7bdf8bc5c0b1ca2cb36
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "fd703c2e706acfdd3fba48e504c32807a0aa895951efef84cc5a8d5fb680e472",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-08-17T17:17:19Z",
    "title_canon_sha256": "e1418b90429697921307b74486dd8652f1e73e94af6ce71f62dfa45384c02e20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07766",
    "kind": "arxiv",
    "version": 3
  }
}