Pith. sign in
Pith Number

pith:2VDMNJ3C

pith:1994:2VDMNJ3CYF4YAEJZAQB7OXL5R6
not attested not anchored not stored refs pending

Geodesic Structure of the 2 + 1 Black Hole

Cristi\'an Mart\'inez, Leda Pe\~na, Norman Cruz

arxiv:gr-qc/9401025 v1 · 1994-01-25 · gr-qc

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{2VDMNJ3CYF4YAEJZAQB7OXL5R6}

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

3 papers in Pith

Receipt and verification
First computed 2026-07-04T17:25:35.712323Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d546c6a762c1798011390403f75d7d8fbe54c980e4ac8841224a179019af1e13

Aliases

arxiv: gr-qc/9401025 · arxiv_version: gr-qc/9401025v1 · doi: 10.48550/arxiv.gr-qc/9401025 · pith_short_12: 2VDMNJ3CYF4Y · pith_short_16: 2VDMNJ3CYF4YAEJZ · pith_short_8: 2VDMNJ3C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/2VDMNJ3CYF4YAEJZAQB7OXL5R6 \
  | 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: d546c6a762c1798011390403f75d7d8fbe54c980e4ac8841224a179019af1e13
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2c3db0d7e7a98a83798797006c8c24523d883e08f2e986e6c123e5e021b6867e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1994-01-25T17:02:48Z",
    "title_canon_sha256": "7f11b0bff143461fc86ac2104d0e4f9db7aed1b262716e4f40ca9198228a72a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9401025",
    "kind": "arxiv",
    "version": 1
  }
}