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Pith Number

pith:JSRK2LHG

pith:2017:JSRK2LHGTK6L6MG6M2GTHOYW67
not attested not anchored not stored refs pending

Extension of photon surfaces and their area: Static and stationary spacetimes

Hirotaka Yoshino, Keisuke Izumi, Tetsuya Shiromizu, Yoshimune Tomikawa

arxiv:1704.04637 v2 · 2017-04-15 · gr-qc · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JSRK2LHGTK6L6MG6M2GTHOYW67}

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 2026-05-18T00:42:19.628659Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4ca2ad2ce69abcbf30de668d33bb16f7d3fd1c7d9107a196d14090d0eb3ced7a

Aliases

arxiv: 1704.04637 · arxiv_version: 1704.04637v2 · doi: 10.48550/arxiv.1704.04637 · pith_short_12: JSRK2LHGTK6L · pith_short_16: JSRK2LHGTK6L6MG6 · pith_short_8: JSRK2LHG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JSRK2LHGTK6L6MG6M2GTHOYW67 \
  | 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: 4ca2ad2ce69abcbf30de668d33bb16f7d3fd1c7d9107a196d14090d0eb3ced7a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "9425f2100dc72e15db9c479c84198af71adf68e329e02fb42df946a9625326fa",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-04-15T13:05:02Z",
    "title_canon_sha256": "2a43df4171b5ffde09415c7a055fe5cd418fa29975ec6f0b4865432a4a580776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04637",
    "kind": "arxiv",
    "version": 2
  }
}