Pith Number

pith:K3KIHIRU

pith:2023:K3KIHIRUN2ZKQKQK7YHF7N5T5X

not attested not anchored not stored refs pending

Lower bound on the radii of light rings in traceless black-hole spacetimes

Shahar Hod

arxiv:2311.17462 v2 · 2023-11-29 · 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{K3KIHIRUN2ZKQKQK7YHF7N5T5X}

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

The existence and upper bound for stable photon spheres in static spherically symmetric black holes

Receipt and verification

First computed	2026-07-05T07:28:46.893126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56d483a2346eb2a82a0afe0e5fb7b3edd3bc6f6c6b9ecac99620ee170bc3dd92

Aliases

arxiv: 2311.17462 · arxiv_version: 2311.17462v2 · doi: 10.48550/arxiv.2311.17462 · pith_short_12: K3KIHIRUN2ZK · pith_short_16: K3KIHIRUN2ZKQKQK · pith_short_8: K3KIHIRU

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/K3KIHIRUN2ZKQKQK7YHF7N5T5X \
  | 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: 56d483a2346eb2a82a0afe0e5fb7b3edd3bc6f6c6b9ecac99620ee170bc3dd92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17cf8c2fab87998b35b9f92bd785f6fedfe5d4e09d642367d2d8747465d016a7",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-11-29T09:06:00Z",
    "title_canon_sha256": "3d02b2680993a38ea7356ef42a17b984265833bdea1b4cfe8a771e8ed6791ba8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.17462",
    "kind": "arxiv",
    "version": 2
  }
}