Pith Number

pith:SSMN5PSN

pith:2015:SSMN5PSNHH5IHA3P64PO25L4YZ

not attested not anchored not stored refs pending

Uniqueness of the static Einstein-Maxwell spacetimes with a photon sphere

Boian Lazov, Stoytcho Yazadjiev

arxiv:1503.06828 v1 · 2015-03-23 · 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{SSMN5PSNHH5IHA3P64PO25L4YZ}

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

Photon Surfaces in Higher-Curvature Gravity: Implications for Quasinormal Modes and Gravitational Lensing

Receipt and verification

First computed	2026-05-18T01:34:50.252204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9498debe4d39fa83836ff71eed757cc645ed2b2236edf921bb38befdcdf9b621

Aliases

arxiv: 1503.06828 · arxiv_version: 1503.06828v1 · doi: 10.48550/arxiv.1503.06828 · pith_short_12: SSMN5PSNHH5I · pith_short_16: SSMN5PSNHH5IHA3P · pith_short_8: SSMN5PSN

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/SSMN5PSNHH5IHA3P64PO25L4YZ \
  | 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: 9498debe4d39fa83836ff71eed757cc645ed2b2236edf921bb38befdcdf9b621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "787b851f8dd140f500582b57d20c7cbe652d324e74035d09abf2b1f229995ff6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-03-23T20:46:02Z",
    "title_canon_sha256": "929331cc27238327a070b1d194d17dfe70408d13bd0ad20881b442cfa9874ac9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06828",
    "kind": "arxiv",
    "version": 1
  }
}