Pith Number

pith:CXJ7M2ID

pith:2026:CXJ7M2IDWZOJXKHPNH2HWALUKK

not attested not anchored not stored refs pending

Photon Sphere for a Dilatonic Dyonic Black Hole in a Model with an Abelian Gauge Field and a Scalar Field

A. N. Malybayev, G. S. Nurbakova, U. S. Kayumov, V. D. Ivashchuk

arxiv:2603.19505 v2 · 2026-03-19 · 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{CXJ7M2IDWZOJXKHPNH2HWALUKK}

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	2026-05-20T00:04:28.879009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15d3f66903b65c9ba8ef69f47b017452a7109fabf6bec95dfcb00fdbf59b1b83

Aliases

arxiv: 2603.19505 · arxiv_version: 2603.19505v2 · doi: 10.48550/arxiv.2603.19505 · pith_short_12: CXJ7M2IDWZOJ · pith_short_16: CXJ7M2IDWZOJXKHP · pith_short_8: CXJ7M2ID

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/CXJ7M2IDWZOJXKHPNH2HWALUKK \
  | 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: 15d3f66903b65c9ba8ef69f47b017452a7109fabf6bec95dfcb00fdbf59b1b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18f506b93ba7f4eb41ea1134d1e86236f525bc8372e5859f79bb8e4bb144e3ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-03-19T22:19:45Z",
    "title_canon_sha256": "92f5ed75eae09286cd0304d44496f3633c44a9138f3e8a9d284935c493d8fac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.19505",
    "kind": "arxiv",
    "version": 2
  }
}