Pith Number

pith:4ILTJKQD

pith:2023:4ILTJKQDNFMD5345ND2FXKZJII

not attested not anchored not stored refs pending

Weak Deflection Angle, Greybody Bound and Shadow for Charged Massive BTZ Black Hole

Kairat Myrzakulov, Sudhaker Upadhyay, Surajit Mandal, Yerlan Myrzakulov

arxiv:2303.02132 v1 · 2023-03-03 · gr-qc · astro-ph.HE · 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{4ILTJKQDNFMD5345ND2FXKZJII}

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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

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

Receipt and verification

First computed	2026-07-05T05:47:52.925835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e21734aa0369583eef9d68f45bab294220236dc3a2397c6b34aae67dc6efa8ae

Aliases

arxiv: 2303.02132 · arxiv_version: 2303.02132v1 · doi: 10.48550/arxiv.2303.02132 · pith_short_12: 4ILTJKQDNFMD · pith_short_16: 4ILTJKQDNFMD5345 · pith_short_8: 4ILTJKQD

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/4ILTJKQDNFMD5345ND2FXKZJII \
  | 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: e21734aa0369583eef9d68f45bab294220236dc3a2397c6b34aae67dc6efa8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fe6c9315ee22b8c5b595a4bc4e9952632be36a417b2f2cbeb9e4e5609567ee7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-03T18:23:57Z",
    "title_canon_sha256": "a01ad56f3906209e31b25c02d32fc8f0806a1754d9adf236d96f4adcd02fe250"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02132",
    "kind": "arxiv",
    "version": 1
  }
}