Pith Number

pith:MKX3B7BH

pith:2024:MKX3B7BHZ3UG7VLBQYQIYROM6W

not attested not anchored not stored refs pending

Gravitational lensing of neutrinos in the Rezzolla-Zhidenko spacetime

Ahmadjon Abdujabbarov, Bobomurat Ahmedov, Daniele Malafarina, Hrishikesh Chakrabarty, Mirzabek Alloqulov

arxiv:2408.12916 v2 · 2024-08-23 · 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{MKX3B7BHZ3UG7VLBQYQIYROM6W}

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

5 papers in Pith

Scattering, Hawking Radiation and Neutrino Energy Deposition in Euler-Heisenberg Black Holes Surrounded by Perfect Fluid Dark Matter

Quantum Correlations of Neutrinos in the Kerr-Newman Space-time

Boundary-only weak deflection angles from isothermal optical geometry

Quantum Correlations of Neutrinos in the Kerr-Newman Space-time

Breaking Parameter Degeneracies in a Magnetically Charged Black Hole Embedded in a Hernquist Dark-Matter Halo: A Multi-Observable Analysis

Receipt and verification

First computed	2026-07-05T09:01:38.049263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62afb0fc27cee86fd56186208c45ccf583cae3b821bd15a6273ef93e252a4b06

Aliases

arxiv: 2408.12916 · arxiv_version: 2408.12916v2 · doi: 10.48550/arxiv.2408.12916 · pith_short_12: MKX3B7BHZ3UG · pith_short_16: MKX3B7BHZ3UG7VLB · pith_short_8: MKX3B7BH

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/MKX3B7BHZ3UG7VLBQYQIYROM6W \
  | 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: 62afb0fc27cee86fd56186208c45ccf583cae3b821bd15a6273ef93e252a4b06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e0f5322e0d355077a05f95ed717929e9ad341ac32c5432666bbd3b85f9148c5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2024-08-23T08:49:14Z",
    "title_canon_sha256": "cbc12e478cf65d484983eb895062d1d49072ba0a70ec132da35294409110027f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.12916",
    "kind": "arxiv",
    "version": 2
  }
}