Pith. sign in
Pith Number

pith:HY27YDFZ

pith:1995:HY27YDFZ33R5KUN7W2XBSD53VC
not attested not anchored not stored refs pending

Multi-Black-Hole Geometries in (2+1)-Dimensional Gravity

Dieter R. Brill

arxiv:gr-qc/9511022 v1 · 1995-11-06 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HY27YDFZ33R5KUN7W2XBSD53VC}

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 2026-07-04T17:18:22.745910Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3e35fc0cb9dee3d551bfb6ae190fbba8af755f3822660b73dbbd6e705507aac4

Aliases

arxiv: gr-qc/9511022 · arxiv_version: gr-qc/9511022v1 · doi: 10.48550/arxiv.gr-qc/9511022 · pith_short_12: HY27YDFZ33R5 · pith_short_16: HY27YDFZ33R5KUN7 · pith_short_8: HY27YDFZ
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HY27YDFZ33R5KUN7W2XBSD53VC \
  | 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: 3e35fc0cb9dee3d551bfb6ae190fbba8af755f3822660b73dbbd6e705507aac4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c580ae4303d4ca269b8fb72fa5932a51abe019184959b2256869301469eabff8",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1995-11-06T18:05:25Z",
    "title_canon_sha256": "926138468dd1d3f286b2724b61c78709331d2b32d2cbbf515987f28532a0ace4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9511022",
    "kind": "arxiv",
    "version": 1
  }
}