Pith Number

pith:RAIGB4XR

pith:2020:RAIGB4XRPXYO2O47WZXBMMMRG7

not attested not anchored not stored refs pending

Exact Formulas for Spherical Photon Orbits Around Kerr Black Holes

Aydin Tavlayan, Bayram Tekin

arxiv:2009.07012 v2 · 2020-09-15 · 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{RAIGB4XRPXYO2O47WZXBMMMRG7}

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

Spherical photon orbits around the Kerr-like black hole in Einstein-Bumblebee gravity

Receipt and verification

First computed	2026-07-05T01:52:26.293828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

881060f2f17df0ed3b9fb66e16319137c2ea3b6cd5d50d11b4208905e9872399

Aliases

arxiv: 2009.07012 · arxiv_version: 2009.07012v2 · doi: 10.48550/arxiv.2009.07012 · pith_short_12: RAIGB4XRPXYO · pith_short_16: RAIGB4XRPXYO2O47 · pith_short_8: RAIGB4XR

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/RAIGB4XRPXYO2O47WZXBMMMRG7 \
  | 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: 881060f2f17df0ed3b9fb66e16319137c2ea3b6cd5d50d11b4208905e9872399

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958f435ae3bcbfa279069d08cf2a1926934923a570a00b95d3e12aa3a3c5d89c",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2020-09-15T12:22:19Z",
    "title_canon_sha256": "36469fd8baba0d460358ab7bd8f64019fe6490896a73a8a647e4da46ab0b94b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.07012",
    "kind": "arxiv",
    "version": 2
  }
}