Pith Number

pith:GCL3KYO7

pith:2026:GCL3KYO7Z5PAOQJRUMDXOAZXAI

not attested not anchored not stored refs pending

Determining Kerr black hole spin and inclination from a segment of the critical curve in black hole images

Kenta Hioki, Tomohiro Harada, Umpei Miyamoto

arxiv:2606.21921 v1 · 2026-06-20 · gr-qc · astro-ph.HE

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GCL3KYO7Z5PAOQJRUMDXOAZXAI}

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.

Receipt and verification

First computed	2026-06-23T02:13:02.928340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3097b561dfcf5e074131a307770337020c234b116c8091bcd29c8a8cbc4aec65

Aliases

arxiv: 2606.21921 · arxiv_version: 2606.21921v1 · doi: 10.48550/arxiv.2606.21921 · pith_short_12: GCL3KYO7Z5PA · pith_short_16: GCL3KYO7Z5PAOQJR · pith_short_8: GCL3KYO7

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/GCL3KYO7Z5PAOQJRUMDXOAZXAI \
  | 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: 3097b561dfcf5e074131a307770337020c234b116c8091bcd29c8a8cbc4aec65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7db6665b28dfe77552ab16c40de847672fb068f26c3d34757101dd4ef7c08b",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-06-20T07:37:50Z",
    "title_canon_sha256": "6164de5bb9dc49988df726133aa19c1e447c76badaf61b77f867e37905eb97a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.21921",
    "kind": "arxiv",
    "version": 1
  }
}