pith. sign in
Pith Number

pith:KDPTXCJ5

pith:2016:KDPTXCJ5NXX3RZMR54EIADXQEY
not attested not anchored not stored refs pending

Complete embedded complex curves in the ball of $\mathbb{C}^2$ can have any topology

Antonio Alarcon, Josip Globevnik

arxiv:1611.06913 v1 · 2016-11-21 · math.CV · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KDPTXCJ5NXX3RZMR54EIADXQEY}

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 2026-05-18T00:20:56.963417Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

50df3b893d6defb8e591ef08800ef0263d4a5391c996332e8007605b2a3308ea

Aliases

arxiv: 1611.06913 · arxiv_version: 1611.06913v1 · doi: 10.48550/arxiv.1611.06913 · pith_short_12: KDPTXCJ5NXX3 · pith_short_16: KDPTXCJ5NXX3RZMR · pith_short_8: KDPTXCJ5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KDPTXCJ5NXX3RZMR54EIADXQEY \
  | 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: 50df3b893d6defb8e591ef08800ef0263d4a5391c996332e8007605b2a3308ea
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d3299d4f83a5c8dca5ddee8c24e44533b0cb3e24d73199fc754ec32a3953642a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-11-21T17:42:31Z",
    "title_canon_sha256": "eb79f691c3eafb059f9fc691fb6288b74d702ce16aa3fb5638e213ddd4e4bf01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06913",
    "kind": "arxiv",
    "version": 1
  }
}