Pith Number

pith:HR4M3FNS

pith:2015:HR4M3FNSA74RZZCHUHLHILQU7H

not attested not anchored not stored refs pending

Photon Rings around Kerr and Kerr-like Black Holes

Cita, Perimeter), Tim Johannsen (Waterloo

arxiv:1501.02814 v1 · 2015-01-12 · astro-ph.HE · 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{HR4M3FNSA74RZZCHUHLHILQU7H}

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

2 papers in Pith

Confronting eikonal and post-Kerr methods with numerical evolution of scalar field perturbations in spacetimes beyond Kerr

A note on methods for computing the critical curve of Kerr-like black holes

Receipt and verification

First computed	2026-05-18T01:41:11.458928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c78cd95b207f91ce447a1d6742e14f9c42c06806d189660b74cf2559f532a31

Aliases

arxiv: 1501.02814 · arxiv_version: 1501.02814v1 · doi: 10.48550/arxiv.1501.02814 · pith_short_12: HR4M3FNSA74R · pith_short_16: HR4M3FNSA74RZZCH · pith_short_8: HR4M3FNS

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/HR4M3FNSA74RZZCHUHLHILQU7H \
  | 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: 3c78cd95b207f91ce447a1d6742e14f9c42c06806d189660b74cf2559f532a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1eec1e91212b99122adc688f33e5c0cfa4f9b2299438c63776fa5532018a65",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2015-01-12T21:01:21Z",
    "title_canon_sha256": "18225533a042f0b90b7080035db3ad195f1f497ce3595ccb5be548955e3f37d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02814",
    "kind": "arxiv",
    "version": 1
  }
}