Pith Number

pith:EN4EWATU

pith:2023:EN4EWATUNIMXGXHTCMFVHOREE2

not attested not anchored not stored refs pending

Dynamical Photon Spheres in Charged Black Holes and Naked Singularities

Vitalii Vertogradov, Yaghoub Heydarzade

arxiv:2311.08930 v3 · 2023-11-15 · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EN4EWATUNIMXGXHTCMFVHOREE2}

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	2026-07-05T09:05:11.683189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23784b02746a19735cf3130b53ba2426a851802059232c53aa92b6ff38bd1abb

Aliases

arxiv: 2311.08930 · arxiv_version: 2311.08930v3 · doi: 10.48550/arxiv.2311.08930 · pith_short_12: EN4EWATUNIMX · pith_short_16: EN4EWATUNIMXGXHT · pith_short_8: EN4EWATU

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/EN4EWATUNIMXGXHTCMFVHOREE2 \
  | 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: 23784b02746a19735cf3130b53ba2426a851802059232c53aa92b6ff38bd1abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b0661236d8de9eb40a072043a1743378742aa127863964a60fce1eb1b1d6c7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2023-11-15T13:02:07Z",
    "title_canon_sha256": "a9b3def557f3ccf0d45bc3dbb0d4230cc111e8660d3e62e7767c6007a375048b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.08930",
    "kind": "arxiv",
    "version": 3
  }
}