pith. sign in
Pith Number

pith:37TY2CKZ

pith:2011:37TY2CKZKNX5UGRCCSMCVYPXA3
not attested not anchored not stored refs pending

Null geodesics in the Reissner-Nordstr\"om Anti-de Sitter black holes

Joel Saavedra, J.R. Villanueva, Marco Olivares, Norman Cruz

arxiv:1111.0924 v1 · 2011-11-03 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{37TY2CKZKNX5UGRCCSMCVYPXA3}

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 2026-05-18T04:09:36.646964Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

dfe78d0959536fda1a2214982ae1f706c852f31131da769f1c65a34ec19b16e2

Aliases

arxiv: 1111.0924 · arxiv_version: 1111.0924v1 · doi: 10.48550/arxiv.1111.0924 · pith_short_12: 37TY2CKZKNX5 · pith_short_16: 37TY2CKZKNX5UGRC · pith_short_8: 37TY2CKZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/37TY2CKZKNX5UGRCCSMCVYPXA3 \
  | 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: dfe78d0959536fda1a2214982ae1f706c852f31131da769f1c65a34ec19b16e2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "4deb65e6966ec368caa739b0bbda0f6f7b6f709691c0aa9857976bab7a5635dc",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-11-03T17:34:24Z",
    "title_canon_sha256": "eb27c5cbfd018fe0c2133ed2bf80754c25508a1c853c82700d64769ca0a18de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0924",
    "kind": "arxiv",
    "version": 1
  }
}