Pith Number

pith:R5OPD4AZ

pith:2023:R5OPD4AZXSSFIH4MV3GQNSDQL5

not attested not anchored not stored refs pending

Exploring Non--commutativity as a Perturbation in the Schwarzschild Black Hole: Quasinormal Modes, Scattering, and Shadows

A. A. Ara\'ujo Filho, H. Hassanabadi, J. K\u{r}\'i\u{z}, N. Heidari

arxiv:2308.03284 v4 · 2023-08-07 · gr-qc · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R5OPD4AZXSSFIH4MV3GQNSDQL5}

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

Analyzing Deflection Angles and Photon Sphere Dynamics of Magnetically Charged Black Holes in Nonlinear Electrodynamic

Receipt and verification

First computed	2026-07-05T08:28:01.817262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f5cf1f019bca4541f8caecd06c8705f4bc62075f1ecd27eca8177a464e1bffa

Aliases

arxiv: 2308.03284 · arxiv_version: 2308.03284v4 · doi: 10.48550/arxiv.2308.03284 · pith_short_12: R5OPD4AZXSSF · pith_short_16: R5OPD4AZXSSFIH4M · pith_short_8: R5OPD4AZ

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/R5OPD4AZXSSFIH4MV3GQNSDQL5 \
  | 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: 8f5cf1f019bca4541f8caecd06c8705f4bc62075f1ecd27eca8177a464e1bffa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa3c8f7483d99d4f640bb31f94140b7f84d4f84339804efe32503a3cb621430",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-08-07T04:03:50Z",
    "title_canon_sha256": "0465f44d91fcd0d058b75865099f045738063afce8fd05358265eb09115299e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03284",
    "kind": "arxiv",
    "version": 4
  }
}