Pith Number

pith:HEQTOET7

pith:2012:HEQTOET7AAAYM3KV5VD64NT3LQ

not attested not anchored not stored refs pending

Spherical null geodesics of rotating Kerr black holes

Shahar Hod

arxiv:1210.2486 v1 · 2012-10-09 · 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{HEQTOET7AAAYM3KV5VD64NT3LQ}

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

Bounds on the radius of black hole shadows in n-dimensional Einstein gravity

Receipt and verification

First computed	2026-05-18T01:54:04.291491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

392137127f0001866d55ed47ee367b5c0b431adb3d29d96af37ec72c70ddc64e

Aliases

arxiv: 1210.2486 · arxiv_version: 1210.2486v1 · doi: 10.48550/arxiv.1210.2486 · pith_short_12: HEQTOET7AAAY · pith_short_16: HEQTOET7AAAYM3KV · pith_short_8: HEQTOET7

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/HEQTOET7AAAYM3KV5VD64NT3LQ \
  | 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: 392137127f0001866d55ed47ee367b5c0b431adb3d29d96af37ec72c70ddc64e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "146dcb08c81cf80fb7b6aaa4ae85df9690e82db56405037d2fc91920e6ce10f2",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-10-09T04:27:40Z",
    "title_canon_sha256": "b5f2f418222dcb51de0d039db3c0a4b3d68c5f82b948346534ad269843b8b613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2486",
    "kind": "arxiv",
    "version": 1
  }
}