Pith Number

pith:5C4X5MXX

pith:2004:5C4X5MXXGOZ57265ZCK2IUL46R

not attested not anchored not stored refs pending

Extreme Gravitational Lensing near Rotating Black Holes

Chris Done, Kris Beckwith

arxiv:astro-ph/0411339 v1 · 2004-11-12 · 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{5C4X5MXXGOZ57265ZCK2IUL46R}

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

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

Receipt and verification

First computed	2026-05-18T04:22:32.319342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8b97eb2f733b3dfebddc895a4517cf45f4f47bd2b5e5bfa69e2d322e846a6b2

Aliases

arxiv: astro-ph/0411339 · arxiv_version: astro-ph/0411339v1 · doi: 10.48550/arxiv.astro-ph/0411339 · pith_short_12: 5C4X5MXXGOZ5 · pith_short_16: 5C4X5MXXGOZ57265 · pith_short_8: 5C4X5MXX

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/5C4X5MXXGOZ57265ZCK2IUL46R \
  | 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: e8b97eb2f733b3dfebddc895a4517cf45f4f47bd2b5e5bfa69e2d322e846a6b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be515dfdea58b912d98914585942bb7afb47b8e90cc54b88ccdfe8eb08025e51",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2004-11-12T17:18:00Z",
    "title_canon_sha256": "435dcce6463f2ce5017cf35ba0505ffdaf1dcdb90714e4b5c9bf81f3db768b0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0411339",
    "kind": "arxiv",
    "version": 1
  }
}