Pith Number

pith:LIZ5ACI6

pith:2002:LIZ5ACI6UQQ7MPJUE3SIJTEOIQ

not attested not anchored not stored refs pending

Gravitational Bending of Light Near Compact Objects

Andrei M. Beloborodov (CITA)

arxiv:astro-ph/0201117 v1 · 2002-01-08 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIZ5ACI6UQQ7MPJUE3SIJTEOIQ}

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

4 papers in Pith

A New Relativistic Model for Spectral Formation in Accretion-Powered X-ray Pulsars: Pulse Profiles and Phase-Averaged Spectra

Optical images of Kerr-Sen black hole illuminated by thick accretion disks

Unveiling Inner Shadows and Polarization Signatures of Rotating Einstein-Gauss-Bonnet Black Holes

Observational constraints on nonlocal black holes via gravitational lensing

Receipt and verification

First computed	2026-07-04T16:29:13.690038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a33d0091ea421f63d3426e484cc8e44079a6d890fe5f0432c2a97604b273146

Aliases

arxiv: astro-ph/0201117 · arxiv_version: astro-ph/0201117v1 · doi: 10.48550/arxiv.astro-ph/0201117 · pith_short_12: LIZ5ACI6UQQ7 · pith_short_16: LIZ5ACI6UQQ7MPJU · pith_short_8: LIZ5ACI6

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/LIZ5ACI6UQQ7MPJUE3SIJTEOIQ \
  | 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: 5a33d0091ea421f63d3426e484cc8e44079a6d890fe5f0432c2a97604b273146

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da78cb692674b96e9529e47071d81457cd51eeb75ec684bbfb732502cb0afaea",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2002-01-08T21:07:49Z",
    "title_canon_sha256": "c4f20c3a42c3552b866ee89a77a7bedeaffde810ae7b7e649b4a2d0573c5c7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0201117",
    "kind": "arxiv",
    "version": 1
  }
}