Pith Number

pith:5ELZ7K3M

pith:2023:5ELZ7K3MG2HAUEH4CLX7Z47J35

not attested not anchored not stored refs pending

Black Hole Photon Rings Beyond General Relativity

Bart Ripperda, Daniel R. Mayerson, Fabio Bacchini, Lorenzo K\"uchler, Seppe Staelens

arxiv:2303.02111 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{5ELZ7K3MG2HAUEH4CLX7Z47J35}

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

Photon spheres in dynamical space-times

Twisted doughnuts: Thick disk torus around equatorial asymmetric black hole

Receipt and verification

First computed	2026-07-05T06:25:21.867786Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9179fab6c368e0a10fc12effcf3e9df7b52d373820c3516e95f2fa33600aec1

Aliases

arxiv: 2303.02111 · arxiv_version: 2303.02111v1 · doi: 10.48550/arxiv.2303.02111 · pith_short_12: 5ELZ7K3MG2HA · pith_short_16: 5ELZ7K3MG2HAUEH4 · pith_short_8: 5ELZ7K3M

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/5ELZ7K3MG2HAUEH4CLX7Z47J35 \
  | 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: e9179fab6c368e0a10fc12effcf3e9df7b52d373820c3516e95f2fa33600aec1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7d24bfb0a18fe6d361d3025eb1ed72471abf30a00685c57f9f15d52e1dde2a8",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-03-03T17:53:15Z",
    "title_canon_sha256": "da7d541d296e0c30d514cc889fae6315f91704d3662f9e5a86c62bc4fc0de83d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.02111",
    "kind": "arxiv",
    "version": 1
  }
}